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14


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20


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21


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22


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23


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TeXHOJIOrHH BCTaBKH HeCKOJihKHX HOBhIX CTOJI6IJ;OB aHaJIOrlflIHa TeXHOJIOrHH BCTaBKH CTpOK c TOH TOJihKO pa3HHIJ;e:H, 'ITO tty)KHO Bhl)J,eAATh COOTBeTCTBYJOIIJ,ee 1IHCJIO CTOJI6IJ;OB CJieBa OT Toro CTOJI6IJ;a, rrepe)J, KOTOPhlM 6y)J.yT )J,06aBJieHhl HOBble. YAaJieHHe 11mpopMa11;11H B CTpOKax H cTon611;ax 6e3 YAaJieHHH caMHX CTpOK H CTOJI6IJ;OB 113 Ta6JIHIJ;hl rrpOH3BO)J,HTCH aHaJIOrITTHO YAaJieHHIO CTpOKH TeKCTa, T. e. Heo6XO)J,HMO: :::} Bbl)J,eJIHTh KYIJCOpOM HHcPOPMaumo B CTpOKe HJIH CTOJI6ue; :::} HCUl<:aTh KJiaBHIIIY [Del). YAaJieHHe CTPOK HJIH cToJI611;0B Ta6JIHUhI rrpoH3BOAHTCH B cJie)J,yromeM rropH)J,Ke: :::} BhIAeJIHTh CTPOKY HJIH CTOJI6eu;

Ta611uu,a; YiJMUmb fliteiiKu;

:::} aKTHBH3HpoBaTh MeHio :::} BbI6paTb KOMaHAY

:::} B IIOHBHBIIIeMCH )J,HaJIOrOBOM OKHe BhI6paTh COOTBeTCTBYJOIIJ,YJO

(YiJMUmb 6Ce cmpOKU HJIH YiJMUmb 6Ce cmo116U,bl). OtjJopM.11.euue Bneumezo BuiJa ma611uu,b1 BKJI1011aeT B ce6H

KOMaH)J,y

cJie)J,YJO-

IIJ,He OCHOBHbie 011epau1111: • H3MeHeHHe IIIHpHHhl CTOJI6IJ,oB; • H3MeHeHHe BhICOThl CTpOK; • ocl>opMJieHHe ceTKH Ta6JIHIJ,hI; • H3MeHeHHe IIOJIO)l(eHH.sI Ta6JIHIJ,hl Ha CTpaHHIJ;e JIHCTa. Cnoco6 H3MeHeHHH IIIHpHHhl CTOJI6ua COCTOHT B CJie)J,yroIIJ,eM: :::} ycTaHOBHTh YKa3aTeJih MhIIIIH Ha JieByro HJIH rrpaByro BepTHKaJihHYJO JIHHHIO CTOJI6ua (rrpH 3TOM yKa3aTeJib COOTBeTCTBeHHO H3MeHHT HarrpaBJieHHe CTpeJIKH); :::} Ha)l(aTb JieByIO KHOIIKY MhlIIIH H, He OTITYCKaH ee, «nepeTaIIJ,HTh» BepTHKaJihHYJO JIHHHJO COOTBeTCTBeHHO BJieBO HJIH BnpaBO Ha Tpe6yeMOe paCCTOHHHe.

30


lIIHplUJY CTOJI6U,OB MO)l(}{O J8,[(aTb c IIOMOlll,blO KOMaH,D,bl

mupuHa Jltteibcu

Bblcoma u

Ta611uu,a.

HJ MeHIO

BblCOTa 111060M: CTpOKH Ta6JIHU,bl MOlKeT 6bITb J8,[(aHa c IIOMOlll,blO

Bbtcoma u mupuHa JltteiiKu HJ Memo Ta611uu,a O)J,HHM HJ Tpex ABmo, MuHUMYM, TottHo. IlapaMeTp ABmo orrpe)J,eJUieT BblCOT)' CTpOKH Ta6JIHU,bl B COOTBeT-

KOMaH,D,bI

napaMeTpoB:

CTBHH c rrapaMeTpaMH a6Jau,a, KOTOpbie ycTaHaBJIHBalOTCH rrpH rrepBOHaqaJibHOM cpopMaTHpoBaHHH )J,OKYMeHTa. B 3TOM cnyqae BbICOTa CTpOKH Ta6JIHU,bl ycrnHaBJIHBaeTCH aBTOMaT:uqecKH B JaBHCHMOCTH OT paJMepoB BBO)J,HMOfO B Hqeti:KY TeKCTa. IlapaMeTpbI

MuHUMYM H TottHo

ycTaHaBJIHBaIOTCH TOJibKO )],JUI CTpOK

C03,lJ;aBaeMOH Ta6JIHU,bl. IlpH BbI6ope 3THX rrapaMeTpOB BblCOTa CTpOKH Ta6JIHU,bl 38,[(aeTCH q:ucJIOM TIHKCeJibHblX ToqeK. Ilp:u BBOJJ;e TeKcrn B gqeliKY c ycTaHoBJieHHbIM napaMeTpoM

MYM

MuHu-

MHHHMaJibHaH BhICOTa CTPOKH onpe.n;eJUieTcH 38,[(aHHblM qHcJioM

IlHKCeJibHblX ToqeK. 0)1;HRKO eCJIH pa3Mepbl BBOl!;HMOfO TeKCTa npeBblrnaK>T Ja,n;aHHbie pa3Meph1 gqeliKH, BblCOTa CTpOKH rn6JIHll.bl }'BeJIH~ qHBaeTCH B COOTBeTCTBHH c pa3MepaMH TeKCTa. IlpH BBO)J,e TeKCTa B gqeliKY c ycTaHOBJJeHHhlM napaMeTPOM

TottHo

BbICOTa cTpoKH He MeHHeTCH. Ecn:u pa3Mep BBO)J;HMoro TeKCTa npeBbIlllaeT 38,ll;aHHble pa3Mepbl gqeliKH, B Hett OCTaeTCH TOJibKO BMeCTHB~ rnancH ero HaqanhHaH qacTb. Bb1c0Ta CTpOKH MOlKeT 6hITh 38,[(aHa KaK )],JUI Bceli rn611Hu,h1 cpa3y, TaK H )],JUI JI106oti: OT)J,eJibHOH CTpOKH.

y CTaHOBKa

BbICOTbl CTpOK Ta6-

JIHU,bl npOHJBO)J,HTCH B CJie)J,yIOlll,eM nopH)J,Ke:

==> ==> ==> ==>

Bbl)J,eJIHTb CTpOKY (HJIH Bee CTpOKH); BhI6paTb KOMaH,D,y

B IIOHBHBIIIeMCH )J,HaJIOfOBOM OKHe ycTaHOBHTb napaMeTpbI:

coma cmpoKu

==>

Ta611uu,a; Bbtcoma u mupuHa JltteiiKu;

aKTHBHJHpoBaTb MeH10

H

CKollbKO

Bbl-

(paJMep B IIHKCeJihHbIX ToqKax);

lll,eJIKHYTb MblIIlblO 110 KHOI1Ke

[OK]

)J,HaJIOfOBOfO OKHa.

Ha 3KpaHe B C03)J,aHHoti: rn611:uu,e cTpoKH H cT0116u,h1 (ceTKa rn6JIHU.hI) Bhl)J,eJieHbI IIYHKTHPHOH JIHHHeti:, T. e. npH BhIBO)J,e )J,OKyMeHTa Ha npHHTep rn611Hu,a pacneqarneTcH 6e3 ceTKH.

,l1,mI pacrreqaTKH rn611Hu,b1

c ceTKOH Heo6XO)J,HMO BbIIIOJIHHTb CJie)J,YJOlll,He )J,eHCTBHH:

==> ==> ==> ==>

Bbl)J,eJIHTb Ta6JIHu,y;

<PopMam; 06paM11eHue u 3ano11HeHue ... ;

aKTHBHJHpOBaTb MeHIO Bh16paTb KOMaH,D,y

B IIOHBHBIIIeMCH )J,HaJIOfOBOM OKHe aKTHBH3HpoBaTb BKJ18,[(KY

06paM!leHue

H BbI6paTb He06XO)J,HMble ycTaHOBKH (paMKY HJIH ceTKY

Ta6JIHU,hl, TOJilll,HHY H U,BeT JIHHHH);

==>

lll,eJIKHYTb MblIIlblO no KHOrrKe

[OK]

)J,HaJIOfOBOfO OKHa.

IlpH lKeJiaHHH OT)J,eJibHhie CTOJI6U,bl HJIH CTpOKH Ta6JIHU,bl MO)l(}{O Bbl)J,eJIHTb paJJIHqHbIM U,BeTOM.

==> ==>

)].JUI 3T0f0 Tpe6yeTCH:

Bhl)J,eJIHTb CTPOKY HJIH cT0116eu,; aKTHBHJHpOBaTb MeHIO

<PopMam;

31


~ Bbr6paTb KOMaHJJ;y ~

06p(lMfleHue u 3anoAHeHue ... ;

B noHBHBllleMCSI .n;muroroBOM OKHe aKTHBH3HPOBaTb BKJia;:J;Ky

3anOJlHeHue

H BbI6paTb Heo6XO)J,HMbie ycTaHOBKH (y3op, UBeT y3opa H

u;BeT <t>oHa);

~ I.IJ;eJirrnyTb MbllllbIO no KHOnKe [OK] )J,HaJIOroBoro OKHa. O<t>opMHTb Ta61rnuy MOXHO c HCnOJib30BaHHeM ycTaHOBJieHHbIX

.n;.rnr qero rpe6yeTCSI: ~ ycTaHOBHTh KYPCOp B JI1060M MecTe Ta6JIHUhr; ~ aKTHBH3HpoBaTb MeHIO Ta6Jlul{a;

B pe.n;aKTope THnOBbIX CTHJieH,

~ Bbr6paTb KOMaHJJ;y

ABmo<jJopMam ma6AUl{bl ... ;

~ B nOHBHBIIIeMCH )J,HaJIOrOBOM OKHe BbI6paTb O)J,HH 113 npe.n;Jiara-

eMbIX <t>opMaTOB; ~ I.IJ;eJirrnyTb MbIIIIbIO no KHOnKe [OK] )J,HaJIOroBoro OKHa.

Co3,!Ulllae TeKcTa a npeo6pa3oeaeae ero

B

Ta6JilllJY.

3Ta cxeMa co-

3.n;aHIDI Ta6JIHU npHMelUleTCH npH o<t>opMJieHHH )J,OKYMeHTOB,

.n;.rnr

KOTOpbrx He CyI.IJ;ecTByeT ycTaHOBJieHHbIX <t>opM. B 3TOM cnyqae nocJie)J,OBaTeJibHOCTb orrepau11H: H CIIOC06bl HX BbIIIOJIHeHIDI aHaJIO~HbI HCIIOJib3yeMbIM B cxeMe o<t>opMJieHIDI Ta6JIHtIHbIX )J,OKYMeHTOB rrepBbIM crroco6oM ( o<t>opMJieHHe 3aroJIOBKa Ta6JIHUhl, JarroJIHeHHe Ta6JIHUbI HH$OpMau;HeH, o<t>opMJieHHe BHeIIIHero BH.n;a Ta6JIHUbI). 0TJIHq11e COCTOHT TOJibKO B IIOCJie)J,OBaTeJibHOCTH o<t>opMJieHIDI IIIaIIKH Ta6JIHUbI, KOTOpyIO paCCMOTpHM Ha npHMepe C03)J,aHIDI KaJieH,D;apHoro IIJiaHa BbIIIOJIHeHIDI pa60T (CM. Ta6JI.

2.1):

~ Ha6paTb TeKcT JaroJIOBKa Ta6m1u;hr, np11qeM B npouecce Ha6opa

B KOHUe TeKCTa Kax;:J;OH npe.n;noJiaraeMOH KOJIOHKH (KpOMe nocJie)J,He:H) HaxHMaTb KJiaBHIIIY [Tab];

~ Bbl,ll,eJIHTb Ha6paHHbIH TeKCT; ~ aKTHBH3HpoBaTb MeHIO Ta6Auu,a; ~ BKJIIOqHTb H306paxeHHe ceTKH KOMaHJJ;OH JfUHUU ~ Bhr6paTh KOMaH.n;y ~

cemKu;

flpeo6pa3o6amb meKcm;

B nOHBHBIIIeMCSI )J,HaJIOrOBOM OKHe I.IJ;eJIKHYTb MbllllblO no KHOn -

Ke [OK]. ITocJie BhIIIOJIHeHIDI YKa3aHHhIX .n;e:HCTBHH Ha 3KpaHe nosi:BHTCH JaroJIOBOK Ta6JIHUbI. Bee ;:J;aJibHe:Hrntte .n;e:HcTBIDI no cOJ.n;aHHIO rn6JIHU 6bIJIH paccMoTpeHbI paHee.

2.4. CocTaeneHMe Ta6nw路tHblX ,qoi<yMeHTOB c pac"teTaMM B npoHJBo.n;crneHHo:H .n;esi:TeJibHOCTH JI106o:H <l>HPMhI 11cnoJibJYeTcsi: MHOXeCTBO .n;eJIOBbIX )J,OKYMeHTOB (KpOMe 6yxranTepCKHX), npH co3)J,aHHH KOTOpbIX Heo6XO)J,HMO BbIIIOJIHSITb pa3JIHqHbie MaTeMaT11qeCKHe BhNHCJieHHH. HanpHMep, ;:J;OKYMeHThI no yqery npttxo.n;a H pacxo.n;a npo.n;yKUHH; nporH03HpOBaHHIO npo.n;ax, H3MeHeHHH Kypca BaJIIOT, )J,HHaMHKH H3MeHeHHH pbIHKa no BH.n;aM npO;:J;YKUHH, )J,OXO)J,OB H T. n.; COCTaBJieHHIO 6aJiaHCOBbIX Ta6JIHU; yqery .n;eHe)l(HbIX qeKOB H .n;p.

32


IlpH pa3pa6oTKe TaKHX .n;oK}'MeHTOB B Word MO)l(}{O npoHJBeCTH Heo6xo.n;HMbie pacqeTbI, He npH6errui: K TaKHM .npHJIO)l(eHIDIM Windows, KaK KaJihKYIDITop HJIH Excel. IlpH 3TOM peJyJihTaThI pacqeTOB aBTOMan1qecKH BBOMTCH B COOTBeTCTBYJOII.t:He ~eHKH Ta6JIHU:bl. Word o6Jia;:i;aeT tta6opoM MaTeMaTWiecKHx <l>YHKUHH, noJBOIDIIOW.HX BbIIlOJIHHTb CJie.n;yromHe onepau;HH: • CJIO)l(eHHe, BbNHTaHHe, YMHO)l(eHHe, .n;eJieHHe; • BhiqHcJieHHe cpe.n;Hero JHaqeHHH; • BbNHCJieHHe npou:eHTOB; • BbI6op MHHHMaJibHbIX H MaKCHMaJibHbIX 3HaqeHHH. BbIIlOJIHeHlle MaTeMaTWieCKHX BbNHCJieHHH OCHOBbIBaeTCR Ha MeTO,ll;ax o6pa6oTKH HH<t>opMamm, npHMeHHeMblX B Ta6JIJiqtthlX npo.u;eccopax Lotus, Excel H ;:i;p. CymHOCTh 3THX MeTo.n;oB CBOAHTCR K TOM}', qTo Bee MaTeMaTWieCKHe ,lleHCTBHH npOH3BO,llRTCR c qHCJIOBhIMH ,llaHHbIMH, HaxOMII.t:HMHCR B ~eHKax Ta6mru;hl. Kax)laR ~e:HKa Ta6JIH.U:bl HMeeT 6YKBeHHo-qHcJioao:H CHMBOJI, HanpHMep Al, A2, Bl, B2 H T.,ll., r,lle 6YKBa o603HaqaeT CTOJI6e.u: Ta6JIHIJ;hl, a .U:H<t>pa (aKJIIOqaR CTpOKH warrKH).

CTpOKY

IlepBhle 26 CTOJI6.U:OB Ta6mru;hl 0003HaqaJOTCR 6YKBaMH JiaTHHCKO-

z.

ro aJI<t>aaHTa OT A ,llO EcJIH CTOJI6.U:OB B Ta6JIH.U:e 60JibWe 26, TO OHH 0603Haqa10TCR AA ... AZ H T. Jl. CTpoKH Ta6JIH.U:hI 060JHaqa10TcR qHcJiaMH, HaqH:HaR c e,llHHHIJ;hI.

=

TaKHM o6pa3oM, Bbipa)l(eHHe Dl A4 • C6 03HaqaeT, ~o qHcJio, JanHCaHHOe B gqeifKe nepaoro CTOJI6u:a qeTBepTOH CTpOKH Ta6JIHU:bl (A4), YMHO)l(aeTCH Ha qHCJIO, 3aITHCaHHOe B gqeifKe TpeThero CTOJI6u:a weCTOH CTpOKH (C6), a pe3yJibTaT aBTOMaTHqecKH 3aITHCbIBaeTCH B gqeifKY qeTBepTOro CTOJI6u:a rrepBOH CTpOKH (DI). <l>opM}'Jia .llJlH pacqern JanHCbIBaeTCH B TOH gqeifKe, r;:i;e tteo6xo.n;HMO YKa3aTh peJyJihTaT. IlopH,llOK BbIIlOJIHeHH:H pacqeTOB paCCMOTpHM Ha npHMepe COCTaBJieHHH HaKJia,ll;HOH Ha Bbl,llaqy TOBapoB <l>HpMe-IIOKYfiaTemo co CKJia;:i;a <t>HpMbI-npo;:i;aau:a. <l>opMa TaKOH HaKJia,ll;HOH IlOKa3aHa B Ta6JI. 2.3 (HeKOTOpbie peKBH3HTbl HaKJia,ll;HOH He rrpe,UCTaBJieHbl). B rn6JI. 2.3 Ha;:i; cToJI6U:aMH YKaJaHbI 060JHaqa10mHe HX CHMBOJibI.

Ta6irnua 2.3

Haua,1uuu1 M _

ea OTl'JJY3KY Toaapa

A

B

c

D

E

F

N2

HaHMeHOBaHHe roaapa

E.n.H3M.

Ko11.

l.l,etta, p.

CTOHMOCTh, p.

l

3neKTpoqaifHHK «Tefal»

IIIT.

400

500

200000

2

3JieKTpoynor «Tefal»

IIIT.

700

450

315000

.Hroro

515000 33


IlpH JanOJIHeHHH HaKJia,z:i:HOH TJ)e6yeTC.sl aBTOManflieCKH BhlnOJIHHTb pac11eT CTOHMOCTH no KIDK,UOMY HaHMeHOBaHHIO H no.uBeCTH HTOr no o6meif CTOHMOCTH OTnymeHHOro TOBapa. CTOHMOCTh TOBapa nepBoro HaHMeHoBaHH.si: pacc11HThIBaeTc.si: no <l>OPMYJie F2 = 02 路 E2. CTOHMOCTh TOBapa BToporo HaHMeHoBaHH.H F3 = 03 路 E3. Tor.ua cToHMOCTb Bcero TOBapa 6y.ueT npe,UCTaBJI.si:Tb co6oif CYMMY 3Ha'leHHH .s111eeK F2 H F3, T.e. F4=F2+F3. Onpe.ueJIHB pac11eTHb1e <t>oPMYJibI, MO)l{}{O npHCTYCTaTh K JanoJIHeHHIO Ta6JIHUbI. IlocJie,UOBaTeJibHOCTb pa3pa60TKH Ta6JIHUhl 6bma H3JIOXeHa pattee, no3TOMY }'KaxeM Tenepb TOJibKO nocJie,llOBaTeJibHOCTb .ueifCTBHH, CB.slJaHHblX c BbIIlOJIHeHHeM pac11eTOB: => BBecTH 'IHCJia B .s111e:HKH cTon6uoB Kon. H U:etta, p.); => Bbl,lJ;eJIHTb Bbl'IHCJI.HeM)'IO Sl'leHKY (F2); => aKTHBH3HpoBaTb Memo Ta611u1-4a; => Bhl6paTb KOMaH,Uy <PopMy/la ... ;

=> B IIO.slBHBIIIeec.si: .UHaJIOroBoe OKHO BBeCTH pac11eTH}'IO <l>OPMYJIY 02路 E2); => Bhl6paTb <t>opMaT JaIIHCH 'IHCJia; => meJIKffYTb MbIIIlbIO no KHOnKe [OK]. PeJyJihTaT Bhl'IHCJieHH:H aBTOMaTH11ecKH 6y.ueT 3arrHcaH B .s111e:HKY F2. AHanorH'IHhie .ueifcTBH.H BhIITOJIHHTh ,UJI.H .s111eeK F3 H F4, BBe.u.si: (=

COOTBeTCTByIOIUHe <l>OPMYJibl. EcJIH Heo6xo.u11Mo ycTaHOBHTh ,UJI.H Bcex 11Hcen Ta6JIHUhI O.UHHaKoBhIH <t>opMaT JanHCH, TO BBO,UHTb HX cne.uyeT qepe3 KOMaH,Uy </JopMyJla, T. e. BBO,UHMOe 'IHCJIO CHa'laJia JanHCbIBaeTC.sl B C'fPOKe </JopMy/la ,Ul-laJIOroBoro OKHa, a 3aTeM BbI6HpaeTC.sl <t>opMaT ero JanHCH. <l>opMaT 'IHCJia - 3TO BH,U OT06paxemrn ero npH BblBO,Ue Ha 3KpaH H B ne11aTb. B .UHaJIOroBOM OKHe KOMaH,Ubl </JopMy/la ... MO)l{}{O BbI6paTb CJie,UyIOIUHe <t>opMaTbl 'IHCeJI: # ##0 - uenoe <IHCJIO c paJ.uenettHeM Tb1c.si:11; # ##0,00 - 'IHCJIO, Bbl'IHCJI.HeMoe c TO'IHOCTbIO .uo BTOporo 3HaKa nocJie JaII.si:TOH; # ##0,00 p. - npe.ucTaBJieHHe <IHCJia B py6n.si:x. ,ll,.rr.si: CYMMHpOBaHH.sl pe3yJibTaTOB Bbl'IHCJieHHH MO)l(HO HCnOJib30BaTb <l>YHKUHIO SUM B cne,UyIOIUHX <t>opMax Jan11c11: =SUM (Al: AlO) - Bhl'IHCJiettHe CYMM ,UJI.H .s111eeK c 1-if no 10-10 cTon6ua A; =SUM (Al;DlO) - BhI'IHCJiettHe CYMM M.H .si:qeeK c Al no 010; =SUM (ABOVE) - Bb11111cnett11e CYMM M.H Bcex .s111eeK cTon6ua, HaxO,ll.slIUHXC.sl BbIIIIe TeKYIIIeH .si:qeifKH; =SUM (LEFT) HJIH =SUM (RIGHn - Bhl'IHCJieHHe CYMM .llIDI Bcex .si:qeeK CTpOKH, HaXO.U.HIUHXC.sl CJieBa HJIH cnpaBa OT TeKYIIIeH .si:qeifKH. Word npe.uocrnBJI.si:eT noJibJOBaTeJIIO .uocTaTO'IHhIH tta6op MaTeMaTH'IeCKHX <l>YHKUHH .llIDI BbIIIOJIHeHH.H IIIHpoKoro Kpyra paC'IeTHbIX Ja,z:i:a'I. 34


HaHMeHOBaHHe

En.

roeapa

HJM.

3JieKTpoqaihrn:K «Tefal»

lllT.

400

lllT.

700

N2

I

2 3JieKTpOynor

KoJI.

UeHa, p.

{ =

CTOHMOCTh, p.

500\#"###0"} 450

{=

D2*E2\\#"###0"}

{=

D3*E3\\#"###0"}

«Tefal»

11roro PHc. 2.6. BH,11, HaKJia.uttoif c <l>OPMYJiaMH nepeqeHb 3THX <l>YHKllHM MO.}l{HO ye::u,n;eTb B ,ll;HaJIOroBOM OKHe KOMaH)J.bl

<J>opMylla ... IfTaK, HaKJia.n;Hrui: COCTaBJieHa, pacqeTbl BbIIIOJIHeHbl, HO Bbl o6Ha-

P)')KIDIH, qTo HerrpaBHJibHO BBeJIH q:uCJIO OTrryw,eHHblX ynoroB.

.nmi

rrepepacqeTa Heo6xo.n;HMO BbillOJIHHTb CJie.ll}'IOIIlHe .n;eMCTBIDI: ~ Bbl,ll;eJIHTb H'leMKY ~

MH

3aMeHbl q:ucJia;

y.n;armTh q:ucJio;

~ aKTHBH3HpoBaTh MeHio Ta6Auu,a; ~ Bb16paTb KOMaH,n;y <PopMylla ... ; ~

B IIOHBHBIIIeecH ,ll;HaJIOrOBOe OKHO BBeCTH HOBOe q:ucJio;

~ BbI6paTb <t>opMaT 3aIIHCH q:ucJia; ~ meJIKH}'Tb MblIIIbIO no KHOIIKe [OK] (rrp:u 3TOM HOBOe 3HaqeH:ue Jarr:uIIIeTcH B gqeifKY);

Ta6Auu,a; BbtOeAumb ma611uu,y;

~ aKTHBH3HpoeaTb MeHIO

~ BhI6paTh KOMaHJJ.y

~ Ha}l{aTb KJiaBHIIIY [F9] (Word rrpoH3Be)J.eT rrepecqeT eceu Ta6JIIDU>1); ~ OTMeHHTb Bbl)J.eJiett:ue Ta6JIHUbl. Ilp:u tteo6XO)J.HMOCTH rrpaBHJibHOCTb BBe)J.eHHbIX pacqeTHbIX <t>opMYJI MO)J(HO rrpoBepMTb, Bbl)J.eJIMB Ta6JIMuY M Ha)J(aB KOM6Mttaumo KJiaBMIII HapMC.

lfa

[Shift] + [F9],

TOr)J.a Ta6JI.

2.3

6y)J.eT MMeTb BM)]., IlOKa3aHHbIM

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ycTattoBJieHHhre rrpaBHJia onwcaHIDI CBOHCTB (xa-

paKTepttcTHK) o6neKToB.

B CYB.ll: rrpHH5IThI cne,n:yroru;He octtOBHhre THTihI

,n:aHHhIX (H COOTBeTCTBeHHO THIIhI rrone:U): • CHMBOJibHbie (TeKCTOBbie), co,n:ep)l(amtte )J,O

255

CHMBOJIOB;

• qwcJIOBhre;

I Mo.ueJib cramca

I KJiacc

----

TO'IHOCTII

Ilomi: (CTOJI6U:bl)

I

I

I

Dmax B MM

Lm,,,_BMM

fa6apHTHhre pa3Mepbl B MM

I Macca B Kr

T-60

A

60

40

1060 x 800 x 1200

1200

CT-125

B

125

250

1550 x 790 x 1150

1800

3anMCM (cTpoKM)

\

JlqeJ1Ka

P11c. 4.3. Ta6JIMU:a 6a3hI )J;aHHhIX MeTaJIJiope)KylllJIX cTaHKOB

58


qHCJIO VIMH ITO.JUI

Ilo;:i:IT11cb ITO.JUI

Tm1;:i:aHHbIX

ToqHocTu

CHMBOJIOB

MoACnrn

Mo,nenh CTilHKa

TeKCTOBhrn

25

-

KJiaccCTilH

Knacc T()qHOCTH CTilHKa TeKCTOBhIM

2

-

Dmax

MaKCHMaJihHhIM ):(HaMe'lp ,neTilJIH (MM)

qHCJIOBOM

-

0

Lmax

Hatt6onhIIIasi: ):(JIHHa o6pa60TKH (MM)

qHCJIOBOH

-

0

fa6CTilH

fa6apHTHhie pa3MephI CTilHKa (MM)

TeKCTOBhlli:

15

-

MacCTitH

Macca (Kr)

qHCJIOBOH

-

0

Pttc. 4.4. <l>parMeHT onttcaHIDI QJHJwqecKoM: Mo,nentt ).l,aHHhIX • ,D;aTa IDIH BpeMR; • ,D;eHe:xrnb1e ( o6o3Haqemrn ,D;eHe:xrnhlX e,D;HHH11); • norlfqecKHe (,I(a/HeT); • TeKCTOBble rrpHMeqa.HIDI (MeMo), KOTOpbie MOryr CO,D;epxaTh TeKCT o6'beMOM HeCKOJibKO ,D;eCHTKOB TblCj{q 3HaKoB; • o6neKThl OLE (Object Linking and Embedding), T. e. o6'beKTbI, pa3pa6oTaHHbie ,D;pyrHMH rrpIDioxeHHHMH Windows. Pa3MepbI rroAA TaKoro o6'beKTa MOryT ,Il;OCTHfaTb COTHH M6aitT. ITpoeKTHPYH Ta6nm.1,y B,IJ;, tteo6xo,D;HMO cttaqana orrHcaTb xapaKTepMCTHKH Bcex IIOJieit, T. e. pa3pa60TaTb <l>H31fqeCKYJO MO,D;eJib )J;aHHbIX.

<!JU3U'leC1CllR MoaeAb aaHHblX npeacmaBARem C060U MHOJICeCmBO XapaKmepucmUK, onpeaeJ1J1.10w,ux cBoucmBa KaJ1Cao20 noAR. 0TMeTHM CJie,DyIOI1.I,He oco6eHHOCTH OIIHCaHHH <l>H3JiqeCKOH MO)J;eJIM )J;aHHbIX (pHC.

4.4):

qJiCJIO CHMBOJIOB YKa3bIBaeTCH AAA TeKCTOBbIX IIOJie:H, qTO CBH3aHO c He06XO)J;JfMOCTbIO 3KOHOMHH rraMRTH KOMIIbIOTepa; ToqHOCTb 3a)J;aeTCH AAA qJiCJIOBbIX rroneit H BbipaxaeTCH qJiCJIOM 3HaKOB IIOCJie 3aIIHTOH.

3anpochl

li,I(. 3arrpOCbI rrpe)J;cTaBJTHIOT co6oit tta6op KOMaHA, rrpeA-

Ha3HaqeHHbIX MH IIOHCKa H o6pa60TKH HH<l>opMaI.I,HH B Ta6JIHI.I,ax ITO 3MaHHbIM rroJib30BaTeJieM ycnoBHHM (3HaqeHHHM rroneit). CoBpeMeHHbie CYB,IJ; rroJBOAAIOT <PopMHpoBaTb cne,DyI011.1,He BMbI JarrpocoB: Ha Bb16opKY, o6HoBJieHHe, A06aBJieHHe, YAaJieHHe, coJ)J;aHHe Ta6JIHI.I,. 3 a II p 0 c

Ha

Bbl 6 0 p Ky rrpe)J;Ha3HaqeH MH IIOHCKa (BbI6opa)

HH<l>opMaI.I,HH B KOHKpeTHOH Ta6JIHI.I,e (Ta6JIHI.I,ax) 6a3bl )J;aHHbIX (HarrpHMep, IIOHCK MO)J;eJieit CTaHKOB KJiacca AB Ta6JI. PHC. 3 a II p 0 c

Ha

4.3).

0 6 H 0 B JI e H H e rrpe)J;Ha3HaqeH AAA aBTOMaTlfqeC-

KOro o6HOBJieHHH )J;aHHbIX B OT)J;eJibHbIX j{qettKax Ta6JIHI.I,bl (HarrpHMep, ecJIH rrpH MOJJ:epHH3aI.I,HH CTaHKa CT-125 Ha pHc.

4.3

6y)J;eT M3MeHeH

KaKOH-JIH6o rrapaMeTp, MO:xrno C03)1;aTb 3arrpoc, KOTOpbIH aBTOMaTH-

59


PHc.

Ta6Jrnua

<l>opMa

3arrpoc

<l>opMa

4.5.

CxeMa CBH3eH Me)!{)zy KOMIIOHeHTaMH CYE,IJ;

qecKH HafuleT B 6a.3e ,llaHHblX COOTBeTCTBYJOIIzyIO 3aITHCb H H3MeHHT KOHKpeTHoe 3Haqemrn napaMe'lpa B coomeTCmyiorn;eii H<IeiiKe).

3 arrp o

c

Ha

.u o 6 aBJI e HH e

HJIH

y .u a JI e H He rrpe,UHa.3Ha-

qeH COOTBeTCTBeHHO AID! aBTOMaTffqeCKOro .uo6aBJieHIDI 3aITHCeif: B Ta6JIHllbl (E,Z:O HJIH HX y.uaJiemrn. 3 a II p 0 c H a c 0 3 .ll a H He rrpe,UHa.3HaqeH AID! C03,D;aHIDI HOBblX Ta6JIHU Ha OCHOBe yxe HMeIOIIJ;HXCR B

E,ll;.

IlpH 3TOM aBTOMaTffqeCKH

$opMHpyeTCR C'lpYKTYPa HOBOH Ta6JIHllbl.

Cl>opMY.

<l>opMbl rrpH pa.3pa6oTKe HH$OPMauHOHHbIX CHCTeM rrpe.u-

Ha.3HaqeHbl .llJIH opraHH3aUHH .upyxecmeHHoro HHTep$e:Uca Me)l{)zy IIOJib30BaTeJieM H KOMIIbIOTepoM. Ilo CBOeMY Ha.3HaqeHHIO pa3JIJlqaIOT $opMbI: • ,llJIH BBO,lla ,UaHHbIX B Ta6JIHUbl; • ,llJIH BBO,lla YCJIOBHH BblIIOJIHeHIDI 3arrpocoB; • ,llJIH aBTOMaTJlqeCKOfO yrrpaBJiemrn pa6oTOH CHCTeMbl (KHorroq-

Hble q,opMbl, $opMbI-MeHIO H .up.).

Or-ieTLI.

O~eTbl -

3TO $opMbl BbIBO,lla pe3yJibTaTOB o6pa60TKH

HH$OpMaUHH B y.uo6HOM ,llJIH IIOJib30BaTeJIB BH,lle. KaK rrpaBHJIO, OTqeTbl COOTBeTCTBYJOT $opMaM o~eTHOCTH, rrpHHHTbIM Ha rrpe.urrpIDITHH, HarrpHMep $opMbl, rrpHHHTbie AID! 6yxraJITepcKOH o~eTHOCTH HJIH TeXHOJiorn:qecKOH .llOKYMeHTaUHH.

~eTbl pa.3pa6aTuIBa10TCR Ha OCHOBe HH$OpMaUHH, co.uepxarn;eif:cR E,U HJIH $opMHpyiorn;eif:cR B pe3yJihTaTe BbIIIOJIHeHIDI 3arr-

B rn6n11uax

pocoB. IlpH pa3pa60TKe

CYE,ll; ee 3JieMeHTu1MO:ryr6b1Th CBR3aHbI Me)l(.lly 4.5.

co6o:U B COOTBeTCTBHH co cxeMOH, rrpe,UCTaBJieHHOH Ha pHC.

4.4.

~H<l>opMa4MOHHble MO,qenM ,qaHHblX

IlpHCTyrraR K C03,llaHH10 HH$opMaUHOHHOH CHCTeMbl, pa3pa60Tq11K ,llOJl)l(eH rrpO,UYMaTb TaKYJO opraHH3aUH10 6a.3bl .uaHHbIX, KOTOpaR OTBeqaJia 6bI, KaK MHHHMYM, CJie,llYJOIIJ;HM YCJIOBIDIM: • IIOJIHOe COOTBeTCTBHe 'lpe6oBaHIDIM IIOJib30BaTeJieif:; • o6ecrreqeHHe MHHHMaJibHOro BpeMeHH rronyqeHIDI ,llOCTOBepHOH HH$opMaUHH IIOJib30BaTeJieM;

60


• IIOTIJe6HOCTb MHHHMaJibHO B03MO)l(HOH rraMHTH Ha )l;HCKOBOM npOCTIJaHCTBe KOMIIbIOTepa. EcTecrneHHO, qTo pernaTb JII06yio 3Maqy (s TOM q.HcJie H HmpopMau;HOHHYJO) MO)l(HO pa3JIJ1qHbIMH crroco6aMH .

.[(ml

ou;eHKH crroco6os opraHH3alI,HH

B.LJ:

pa3pa6aTbIBaIOT HH$op-

Mau;HoHHbie MO,n;eJIH )l;aHHbIX, KOTOpbie rrpe,n;ycMaTIJHBaIOT TPH yposHH 011.HCaHHH CHCTeMbI: KOHlI,errryarrbHbIH, JIOflfqeCKHH H $H3.HqeCKHH.

KonqenmyOJlbHWii ypoBeHb onucanua E/( (Kon14enmyOJ1bHOR MOOe.Ab) npe,n;CTaBJIHeT HH$OpMau;HOHHble o6'beKTbI H HX B3aHMOCB513H 6e3 yica3aH.HH crroco6os OIIHCaHHH H xpaHeHHH .n;aHHblX, T. e. B 3TOM CJIY1Iae 1rn$opMalI,HOHHbIMH o6'beK.TaMH Ha3bIBaIOT 3JieMeHTbl HH$OpMalI,H-

B.LJ:. KaK npasHJio, B.LJ: co,n;epxaTcH cse,n;eHHH 06 o6'heKTax o.n;Horo KJiacca.

OHHOH cHcTeMbI, cse,n;eHHH o KOTopblX xpaHHTcH s B rn6mru;ax

KJI a cc o M HaJhlBaIOT MHoxecrno o6'beK.ToB, xapaK.TepH3YJOID;HXcH omrnaKOBhIM Ha6opoM rrpH3HaKOB • .ll:attHble 06 HH$OpMalI,HOHHblX o6'heK.Tax O,ll;HOfO KJiacca MOryT HaxO,ll;HTbCH B O.n;HOH HJIH HeCKOJibKHX Ta6JIHD;ax. .ll:aHHble 06 HH$opMaD;HOHHblX o6'beKTax pa3Hb1X KJiaCCOB )l;OJDKHbl HaxO,ll;HTbCH B pa3HblX Ta6JIHlI,ax. KoHIJ;errryaJihHblH yposeHh OIIHCaHHH

B.LJ: orrpe,n;eJIHeTCH KOHKPeT-

HblMH 3a)J;aqaMH HH$OpMau;HOHHOH CHCTeMbl. TaK, HarrpHMep, HH$opMalI,HOHHaH CHCTeMa ,lJ)UI OT,ll;eJia KMPOB rrpe,n;npHHTHH B Kaqecrne o6'heK.TOB MO:>KeT co,n;epxaTb pa3JIJ1qHble CBe,n;eHHH 0 CO'fPY.n;HHKax rrpe,n;npHHTHH: • a)J;pec MeCTa :>KHTeJibCTBa; • ,ll;OJDKHOCTb H MeCTO pa60Tbl (HaHMeHOBam1e IIO)l;pa3)l;eJieHHH); • Ta6eJibHbIH HOMep H 3apa60THYJO IIJiaTY H )l;p. Kotteqtto:H 3Maqe:H paJpa6oTKH Kottu;errryarrhHo:H MO)l;eJIH HBJIHeTcH ycTaHOBJieHHe OIITHMaJibHOro COCTaBa Ta6JIHIJ;

B.LJ: H CBH3eH Me:x<;Uy HHMH.

KoHu;err'fYaJihHaH MO)l;eJib, KaK rrpasHJio, He JaBHCHT OT Bb16paHtto:H: rrporpaMMHOH cHcTeMbI ,lJ)UI pearrHJalI,HH

B.LJ:.

Jlozu11ecKuii ypoBenb onucanua /;/( (.11ozu11ecKaa MOOe.11b) JIOflfqeCKHe CBH3H Me:x<;Uy )l;aHHhIMH.

OTIJIDKaeT

B peJIHlI,HOHHhIX B.LJ:, rrpe)l;cTaBJIH-

IOIIJ;HX co6o:H: HeKOTOpoe MHOXeCTBO Ta6JIHlI,, cymeCTBYJOT CJie,n;yioW:He THIIbl CBH3eH Me)l()Jy )l;aHHbIMH: O,ll;HH K O)l;HOMY, O)l;HH KO MHOfHM, MHOrHe KO MHOfHM. CBH3b oauH K oaHoMy 03HaqaeT, qTo O)l;HH 3JieMeHT (HJIH O)l;Ha 3aIIHCb) O)l;HOH Ta6JIHlI,bl CBH3aHbl TOJibKO c O,ll;HHM 3JieMeHTOM (HJIH O)l;HOH 3aJIHCblO) )l;pyro:H: Ta6JIHlI,bl. CBH3b oauH KO MHOi!UM 03HaqaeT, qTo O,ll;HH 3JieMeHT (HJIH O)l;Ha

3aIIHCb) O)l;HOH Ta6JIHIJ,bl CBH3aHhl co MHOfHMH 3JieMeHTaMH (HJI:H MHOfHMH 3aJIHCHMH) )l;pyro:H: Ta6JIHIJ,bl. CB513b MHOi!Ue KO MHOi!UM 03HaqaeT, qTo MHOrHe 3JieMeHTbl (HJIH MHOrHe 3aJIHCH) O)l;HOH Ta6JIHlI,bl CBH3aHbl co MHOfHMH 3JieMeHTaMH (HJIH MHOfHMH 3aJIHCHMH) )l;pyro:H Ta6JIHIJ,bl.

</JU3u11ecKuii ypoBeHb (tjJU3u11ecKaa MoiJe.11b)

peJIHlI,HOHHOH 6a3hI

)l;aHHhlX xapaK.TepH3yeT crroco6b1 o6pa6oTKH, a cJie)l;osareJibHO, H orrH-

61


camrn CBOMCTB ;.:i:aHHhIX. <l>InMqecKaH Mo;.:i:enh Ta6nmi;hI E.II. npe;.:i:cmBJIHeT co6oM: onMcaHMe CBOMCTB Bcex noneM:. <1>1n~eCKaH MOJ.J:eJib <PopMbl ycTaHaBJIMBaeT xapaKTepMCTMKM Bcex ee 3JieMeHTOB (uBeT <PoHa, pa3Mep paMKM, nm IIIPH<l>Ta M ;.:i:p.). TaKMM o6pa30M, npoeKTHpoBaHMe HH<l>opMaUMOHHhIX cwcTeM Ha OCHOBe peJIHUMOHHbIX 6a3 ;.:i:aHHbIX CBOJ.J:HTCH K cne;.:i:yIOIUHM ;.:i:eM:CTBMHM: • nocTaHOBKa 3a;.:i:aqM Ha pa3pa60TKY CMCTeMbI; • pa3pa60TKa MH<l>opMaUMOHHbIX MOJ.J:eJieM M BbI6op HaH6onee 3<P<PeKTHBHOM Mo;.:i:enw opraHM3aUMH E.II.; • peaJIM3aUMH CMCTeMbl. PaccMOTPMM cneJ.J:YIOIUMM npMMep. IlycTb TPe6yeTCH co3;.:i:aTh MH<PopMaUMOHHYJO CMCTeMY J.J:JIH Be;.:i:eHMH yqem 3aKJI10qeHHbIX ;.:i:oroBOpoB co CTOpOHHHMH opraHM3aIJ;MHMM MeHe)J,)KepaMM no;.:i:pa3;.:i:eneHMM <l>MPMhl, KOTOpaH J.J:OJDKHa TaIOKe no3BOJIMTb PYKOBOJ.J:MTeJIIO opraHM3aUMM oueHMTb 3<P<PeKTHBHOCTb pa60Tbl KIDK,LI.Oro MeHe)J,)Kepa. YqeT ;.:i:eHTeJibHOCTM MeHe)J.)KepoB Be;.:i:eTcH no cneJ.J:YIOIUHM noKa3aTeJIHM: • ct>M.O MeHe)J,)Kepa; • Ha3BaHMe no;.:i:pa3;.:i:eneHMH, B KOTOpOM pa6oTaeT MeHe)J,)Kep; • Ha3BaHMe <l>MPMhI, c KOTopoM: JaKJI10qeH ;.:i:oroBop; • HOMep 3aKJI10qeHHOro c <l>MpMOM ;.:i:oroBopa; • CTOHMOCTb 3aKJI10qeHHOro ;.:i:oroBopa B py6JIHX. IloJIHaH MH<l>opMaUMH 0 pa6oTe MeHe)J,)KepoB <l>MpMbl MOXeT 6bITb npe;.:i:cTaBJieHa B BHJ.J:e Ta6JIMUhI, CTPYKTYPa KOTopoM: noKa3aHa Ha pHC. 4.6. IlycTb B opraHH3aUHH HMeeTCH TPH OT;.:i:ena: «OT;.:i:en C6bITa», «IlpoH3BOJ.J:CTBeHHblM OTJ.J:eJI» M «0T;.:i:en peKJiaMbl», B KOTOpblX COOTBeTCTBeHHO pa6om10T MeHe;.:i::>KepbI liBaHoB 11.11., Cw;.:i:opoB C. C. H IleTpOB II. II. Ha pwc. 4. 7 noKa3aHbI pe3yJihTaTbI pa60ThI MeHe)J.)KepoB Ja HeKoToPhIM nepMo;.:i: BpeMeHH. Ilpe;.:i:noJio)l(MM, qTo KIDK,LI.aH 5{qeMKa 3TOM m6JIHUhI HBJIHeTCH CHMBOJibHOM M co;.:i:ep)l(MT 50 CHMBOJIOB. Tpe6yeMbIM o6'beM naMHTH 6y;.:i:eM oueHHBaTh no qMcny CMMBOJIOB. 11cxoM M3 Ja;.:i:aHHhIX ycnoBHM MH opraHH3aUMH E.II. noTPe6yeTCH o6'beM naMHTH (OII), paBHbIM npOM3Be;.:i:eHHIO qMcJia 51qeeK Ta6JIHUbl (qJI) H qMcJia CHMBOJIOB B KIDK,ll.OM 51qeM:Ke (qC):

on= qJI · qc. <l>HO Mette.u)l(epa

PMc.

62

4.6.

I10.upa3.uenem1e

<l>HpMa

HoMep .uoroBopa

CTOHMOCTb .uorooopa

Crpyicrypa Ta6JIMU:hI AJUI ou;eHKM pa6oThI MeHe,lOKepoB qmpMhI


<1>110 HoMep CTpOIQI

Mette,10Kepa

1

Ilo.upa3.UeJieID1e

<l>MpMa

HoMep .uoroBOpa

CTOHMOCTI: .uoroBOpa, ThIC. p.

2

3

4

5

OpMOH 1

100

Ile'rpcrn TI. TI. Or.uen peKJiaMbI U:emaBp

U:emaBp 1

200

3

CJ.i.uopoB C.C. TipOM3BO.UCTBeH- TiapTIDI ffi>IH OT.UeJI

TiapTIDI 1

300

4

Tierpcrn TI. TI. Or.uen peKJiaMbI U:emaBp

U:emaBp 2

150

5

TierpoBTI.TI. Or.uen peKJiaMbI TpM IGITa

TpM IGITa 1

500

6

CJ.i.uopoB C. C. TipOM3BO.UCTBeH- <l>opMo3a IHbiii OT.UeJI

<l>opMo3a 1

1300

7

11BaHOB H.H. Or.uen c6brra

1

11BaHOB H. H. Or.uen c6brra

2

OpMOH

Eenbrn Berep Ee.JlblH BeTep 1

1100

Pwc. 4. 7. TipMMep Ta6JIMI.J;bl .!l.illl yqeTa pa6oTbl Mette.uxcepoB

B CBOIO oqepe,n;1> 1UI paBHO rrpoM3Be,n;eHHIO qHc11a CTIJOK (q3) H qHcJia CTOJI6UOB - IIOJie:H qrr Ta6JIHI..(hl:

3a1mce:H

q51 = 7 . 5 = 35. TaKMM o6pa3oM, B paccMOTIJeHHOM npHMepe TPe6yeM1>1:H 06'1>eM naMHTH

on= 35. 50 =1750 CHMBOJIOB. PaccMOTIJHM ,n;pyro:H cnoco6 opraHH3aUMH Ta61rnu B,ll 3arrm.neM HHcpOpMaumo, co,n;epxaIUYIOCH B HCXO,D;HOH Ta6n11ue, B ,n;Be Ta6JIHUhI, CBH3aHH1>1e Me)K)JJ' co6o:H: ,n;aHHhie o MeHe,lJ;)l(epax 11 ,n;aHHhie o pe3ynhTaTax HX ,n;eHTeJihHOCTH (p11c. 4.8). CBm11 Me)K)JJ' 3THMH rn6JJMUaMH ycTaHOBHM no nomo <l>l10 MeHe,lJ;)l(epa. XapaKTep CBH3eH - 0,lJ;HH KO MHOfHM, T.e. o,n;Ha 3anHCh 0,lJ;HOH Ta6JIHUhl MOXeT 6hITh CBH3aHa co MHOfHMH 3an11CHMH ,n;pyro:H Ta6JIHUhl. Tpe6yeMhIH o6'beM naMHTH B 3TOM cnyqae IIOCTIJOeHHH B.I( Ha:H,n;eM no cpopMYJJe

on= OIIl + OI12. 06beM rraMHTH Ta6JIHUhl Ha p11c.

4.8, a

OIIl = 3. 2. 50 = 300 CHMBOJIOB, a o6beM naMHTH rn6JJHUhI Ha pHc.

4.8, 6

OII2 = 4. 7. 50 = 1400 CHMBOJIOB. Tor,n;a 0

II = 300 + 1400 = 1700 CHMBOJIOB.

63


O'\

""" )1;amu.1e o pe3ym.niTBX ,11.e.RTe.JlhBOCTB Meee,11.lKepos Kon <1>110

)1;aHHwe o Meee,11.lKepax NQ

<1>110 MeHe,ll:lKepa

Ilonpa;meJieHHe

1

2

~ IA"

1

11BaHOB 11.11. 0r.[(eJI c6hITa

~

2

IIeTpoB II.II. 0r.[(eJI peKJiaMbI

~

3 CHJJ:opoB C.C. IIpmnBOJJ:CTBeHHbIH OT.[(eJI

a

,,

Ilonpa:meJieHHe

<l>HpMll

HoMep ,llOI'OBOpa

2

3

4

CTOHMOCTh TblC.

,llOI'OBOpa,

5

1

OrJJ:eJI c6bITa

0pHOH

0pHOH 1

100

2

OrJJ:eJI peKJiaMbl

l.(eJITaBP

l.(eHTaBP 1

200

[/3

IIpOH3BO.[(CTBeHHbIH OT.[(eJI IIapTIDI

IIapTIDI 1

300

t/2 -2

OrJJ:eJI peKJiaMbl

l.(eJITaBP

l.(eHTaBP 2

150

0r.[(eJI peKJiaMbl

TpH KHTa

TpH Klffil 1

500

IIpOH3BO.[(CTBeHHbIB OT.[(eJI <l>opMooa

<l>opMoJa 1

1300

~' r-.... 3

~ I\

~1

OrJJ:eJI c6brra

Be.JlblH serep BeJibrn serep 1

6

Pttc. 4.8. )1;aHHhie o Mette.[()Kepax qmpMhl (a) H peJyJihTaTax HX pa60Tbl (6)

1100

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139


• 10

H

B

A

4

Pac'teT cme!W 3atpu Ha BbmonHeHne ,11,oroeopa Hcxod!fwe daHHwe iJ"!' ~'!_ma: _ _ KoJUt\lecreo cnel¥'a.mtcroe, Y"f~~TB.Y.IOllll1X s BblnOJJHBHHH pa6or Komt1.1ecreo MecRqe~ 1:1a _C03A~H~~- .!1POAJKTa

5 6

rtnara cne~a.n11~ra s p:r6m1x _E~11Hb1'1 co411~bHblH H~~r ~C_tj}__ .1--

1

2 3

CpeAHRR

3

6 3 OOJ,OOp. 35,00%

wecA~~aR -~~pa6o~aR

o,oop.

KowaHA11poso4H~~_pac_xoA~- ' _ tl 3arpaTbA Ha Marep11aJ11>1 H KOMnne!<'YIOU(He

7 8

9

lOnmna ycn_)'r cropoHHl1X _opratooa4..HH

10

l npHo6_peTBHl1B -061J.P.:tAC>BaHHR 1 :Ha1U1a_AHble pacXOAbl s % oraarpar }jnJ1aH11pye~aR _np116bl~b 8 % OT CTOHMOCTH ~a6or

11 ~;

10 OOJ,OOp.

-+t +

T

O,OOp. 30 OOJ,OOp. 15,00% 25,00%

14>--~~~~~~~~~~~~~~.6-0-T+-~--+~~~~

15

~~t--~-=t~~~~~~~~~~-t-~~-t-~--1~-=;;C='~ IB

3000JOO

19>--~--±~~~~..,........,._,~~~~-+-~~+--~--<~,0=3~33=2~~0,,.__,.

~t-~~;:::=~'=:"::Sc::='~~inCT~~-r-~~-r-~--t~,:~~~:i'~,~:::;;"'t: ~r-~-;;t,,---~~~..,,....'7,;,,,....~~~~~......,,,~;;:;:;;--t7,!9~a~~~~1~~~~:

f4. •

>I

lleiicr-·

~ti

Aer-·" "00~.fljj

J•J <l>·~·.1.·""""

e••.

PHc. 11.5. IlpHMep sso.na <t>opM}'JibI B .siqeit.KY

• Henocpe)lcTBeHHbIH BBO.ll <l>YHKUHH B S111CHKY ( C'fPOKY pe)laKTHpoBaHIDI); • npHMeHeHHe MaCTepa <l>YHKIJ;HH; • npHMeHeHHe MaCTepa aBTOMaTH'leCKOro C}'MMHPOBaHIDI )laHHbIX. IlpH BBO.lle <l>YHKIJ;HH B S111CHKY npHMeIDIIOTCSI Te )KC rrpaBHJia, 1ITO H rrpH BBO.n;e <l>OPM}'JI. <l>opMaT BBO.n;a BblqHCIDICMOH <l>YHKIJ;HH BbirIDl)J;HT c11e.n:yIOlllHM o6pa3oM: = <11MJI <l>YHKU1111>(11MEHA 5J:qEEK). 11MeHa srqeeK - 3TO apryMeHTbI <l>YHKIJ;HH. IlpH JanHCH apryMeHTOB <l>YHKIJ;HH He06XO.llHMO co6JIIO)J;aTb CJie.nyIOlllHe rrpaeHJia. 1. EcJIH apryMeHTOM <l>YHKIJ;HH SIBIDIIOTCSI OT)J;eJibHble He CMe)l(Hble Me)l()J.y co6o:H srqeHKH, TO HX 3aIIHCbIBaIOT qepe3 TOqKY c JaIISITOH: = CYMM(H19;H23). 2. Ec11H apryMeHTOM <l>YHKU:HH SIBJISIIOTCSI cMe)l(Hbie no cT0116llY HJIH CTpOKe gqetl:KH, TO HX JaIIHCbIBaIOT qepe3 )lBOeToqHe: = CYMM(H19:H23). B rrepeoM CJIY1Iae rrpoHJBO.llHTCSI CYMMHpoeaHHe .n;aHHbIX HJ srqeeK H19 H H23, a eo BTopoM - BbIIIOJIIDieTcsr CYMMHpoeaHHe .n;aHHblX, HaxO)lSlll(HXCSI B srqetl:Kax c 19 no 23 CT0116u:a H, B COOTBeTCTBHH c <l>opM}'JIOH = H19 + H20 + H21 + H22 + H23. 3. EcJIH <l>)'HKIUISI BbIIIOJIHSleTCSI ,lJ)ISI 6JIOKa CMe)l(HbIX Sl'leeK no C'fPOKaM H CTOJI6U:aM (IIPSIMOyrOJibHOro 6JIOKa), TO B KaqecTBe ee apry-

140


M8CA~B Ha C03A8~11'! neoAyKTa

L __

_

e~A4HaA 3apa6o.TH~~ .i:u1ara 11cil!n•m"ii"•f!i"c"crli'a!"m"ilv6i!"ii!"xlll!l!liliiiiil•••••••••••lll~ Ha.JlOr (!:-~_tj)

_4'114JlbHb1H

1111

BCl:~_Hbl8 ea_~~O.qbl_

9 10

tareropi.m:

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;a:~;:~11 = ~~i:!~ ~!1'!!11!11111111!1!1!1!11••8 "'CP"'3HA=4,------------.

;Hte 060:eYAOBSH~~~- -~~

-

ECfl1

11 _paCXOAbl ~ % o~3_arpar

1;

_aA

np116bl1b

B

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PHc. 11.6. OKHo Macrepa <l>YHKUHit

i--

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-

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f

+

78666,Cl)if 118831,00p+

PHc. 11. 7. OKHo AJUl BBo.na 3Ha'!eHHH apryMeHTOB H pe3yJibTaToB o6pa6oTKH ,ll;aHHbIX

141


MeHTOB 6epyr )];Be 51qeil:KH

u KpaUHIOIO CYMM(Al;C2) 03HaqaeT, qTO rpe6yAl + B 1 + C 1 + A2 + B2 + C2. Kpau111010 6epXHIOIO Jle6yl0

HUJ1CH1010 npa6y10, T.e. 3arrttcb=

eTC51 Bb1qwcnmh CYMMY 51qeeK AHanorwqHbie 3a;::i:aqw MO)l(HO pernaTb c rrpttMeHemrnM MacTepa cPYHIGJ;HM. ,[(mI :noro Heo6xo;::i:HMO:

=> ycTaHOBHTb KYPCOp B

51qeil:KY, B KOTOpoil: rrpOH3BO)J;HTC51 Bblqlfc-

JieHHe;

=>

BhI6paTb B crpoKe Memo KOMaH.lJ:Y Bcma6Ka H B rro51BHBIIIeMc51

CIIHCKe BbI6paTb KOMaH)];y </>yHKU,Wl, B pe3yJibTaTe qero OTKpOeTC51 OKHO

11.6); => BbI6paTb H3 11051BHBIIIeroc51 CIIHCKa HHTepecyio:uzyIO cPYHKIIHIO H HIDKaTb KHOIIKY [OK], B pe3yJibTaTe OTKpoeTC51 OKHO AJI5I BBO)J;a 3HaqeHHM 51qeeK, BXOMmHX B aprYMeHT cPYHKIIHH (pHC. 11. 7); => BBeCTH B COOTBeTCTBYJOmHe IIOJ151 HMeHa 5{qeeK, IIOCJie qero II0MaCTepa <l>YHKIIHM (pHC.

51BHTC51 pe3yJibTaT BbIIIOJIHeHHbIX BbNHCJieHHM (3HaqeHHe cPYHKIIHH);

=>

HIDKaTb KHOIIKY

[OK] AJI5I

BBe;::i:eHAA pe3yJibTaTa B COOTBeTCTBY-

IO:uzyIO 5{qeMKY. KOHTpOnbHble eonpOCbl

1. ,[(JI5I qero rrpHMeIDIIOTC51 Ta6JittqHbie rrpou;eccopbl H KaKOBhl rrpHHU:HIIhl BhlqHcJieHHM B 3THX rrporpaMMHhIX CHCTeMax? 2. ,ll.ai1Te orrpe)l;eJieHH51 OCHOBHhIX 3JieMeHTOB CHCTeMhI Excel: KHHra, JIHCT, Hqei1Ka. 3. qTo 03Haqa10T B cwcTeMe Excel BhipffiKeHH51 A5=Al + B3+ B4= B3 B4/A7 (TeKcT, cpopM)'ny, qwcno)? 4. KaKHe rpyrrrrhI BCTpoeHHhIX ct>YHKUHM co,JJ;ep:lKJfT rn6JittqHhIM rrpoueccop Excel? 5. KaKHe cymecTByIOT crroco6b1 Bh1qwcneHHH w o6pa6oTKH ,JJ;aHHhIX c rrpwMeHettweM BCTpOeHHhIX ct>YHKUHM? 6. KaK orrpe,JJ;eJIHIOTCH w 3arrwchrna10TcH apryMeHThI ct>YHKIIHM? 7. KaKoBo Ha3Haqettwe cJie)];yIOIIIHX cpopMaToB ,JJ;aHHhIX: 06w,uu, l/uc!lo6ou,

*

)1,eneJ1CHbllt, )1,ama, BpeMR?

8. KaKOBa IIOCJie,JJ;OBaTeJihHOCTh ,JJ;eMCTBHM rrpw BBO,JJ;e TeKCTa B Hqei1KH Ta6JIHilhI H rrpw pe,JJ;aKTHpOBaHHH ero? 9. KaKOBa IIOCJie,JJ;OBaTeJihHOCTh ,JJ;eMCTBHM rrpw BBO,JJ;e cpopMyJI B HqeMKH Ta6JIHilhI?


rnasa 12 TEXHOnon1s:1

<l>~HAHCOBblX

PAC4ETOB B CPE.QE EXCEL

12.1. MoAeint 111 MeTOAbl <1>111HaHcoeo-aK0HoM111"1ecK111x pac"leToe PacCMOTPHM HeKOTOphie IIOIDITIDI, orrpe;::i;eJieHIDI H MeTO,ll;hl, rrpHMeIDieMbie B KJiaCCWieCKHX qmHaHCOB0-3KOHOMHqecKHX pacqeTax, KOTOphie IIOJIHOCThIO COOTBeTCTBYIOT HMeIOIIIHMCH <j:>HHaHCOBhIM

<l>YHK-

U:IDIM Excel. KoJIWiecTBeHHhIH <j:>HHaHCOBhIH aHaJIH3 rrpe;::i;rroJiaraeT rrpHMeHeHHe yHH<j:>HI.J;HpOBaHHhIX MO,ll;eJie:H H MeTO,ll;OB pacqeTa <j:>HHaHCOBhIX rroKaJareJie:H. YcJIOBHO MeTOAhI <j:>HHaHcoBoro pacqeTa rro;::i;paJ;::i;eJIHIOT Ha )];Be KaTeropHH: 6a30Bble H rrpHKJia,ll;Hble. K

6a306blM MemoiJaM

<j:>HHaHCOBhIX pacqeTOB OTHOCHTCH:

• orrpe;::i;eJieHHe rrpOCThlX H CJIO)l(HhlX rrpou:eHTOB, HBJIHIOII.J;HeCH ocHOBOH orrepaQHH, CBH3aHHhIX c HapaII.J;eHHeM HJIH ,ll;HCKOHTHpOBaHHeM IIJiarexe:H; • pacqeT IIOCJie,ll;OBaTeJihHOCTe:H (IIOTOKOB) IIJiaTexe:H IIPHMeHHTeJibHO K pa3JIWIHhIM BH,ll;aM <j:>HHaHCOBhIX peHT.

IIpu1<:JlaOHblMU MemoiJaMu

<j:>HHaHCOBhIX pacqeTOB HBJIHIOTCH:

• IIJiaHHpoBam1e H OQeHKa 3<j:><j:>eKTHBHOCTH <j:>HHaHCOBO-Kpe,ll;HTHhlX orrepau;H:H; • pacqeT CTJ)aXOBhIX aHH)'HTeToB; • IIJiaHHPOBaHHe rrorarneHIDI ,ll;OJirocpoqHOH 3a,ll;OJI)l{eHHOCTH; • IIJiaHHpOBami:e rrorarneHIDI HIIOTeqHhIX ccy;::i; H IIOTJ)e6HTeJibCKHX Kpe,ll;HTOB; • <j:>HHaHCOBbie pacqeTbl 110 u:eHHhIM 6YMaraM; • JIH3HHroBhie, <j:>aKTOPHHroBbie H <j:>op<j:>e:HTHHrDBbie 6aHKOBCKHe orrepaQHH; • IIJiaHHPOBam1e H aHaJIH3 HHBeCTHQHOHHhIX rrpoeKTOB H ;::i;p. Oco6eHHOCThIO Bcex <j:>HHaHCOBhIX pacqeToB HBJIHeTcH BpeMeHHaH u:eHHOCTh ;::i;etter, T. e. IIPHHU:HII HepaBHOQeHHOCTH ;::i;eHer B pa3Hble MOMeHThI BpeMeHH. Ilpe;::i;rroJiaraeTcH, qTo rronyqeHHaH cero;::i;IDI CYMMa o6Jia;::i;aeT 60Jibllle:H u:eHHOCThIO, qeM ee 3KBHBaJieHT, KOTOpbIH 6y;::i;eT rronyqeH B 6y)l;yII.J;eM, T.e. qTo IIJiaHHpyeMbie IIOCTYIIJieHHH 6y;::i;yT Mettee 1.1;eHHhIMH, qeM TeKYII.J;He. HepaBHOI.J;eHHOCTh o;::i;HHaKOBhIX no a6coJIIOTHOMY 3HaqeHHIO CYMM CBH3aHa eII.J;e H c TeM, qTo O,ll;HHaKOBbie CYMMhl HHBeCTHPOBaHHhIX B pa3Hhie rrepHO,ll;hl ;::i;eHer 6y;::i;yT rrpHHOCHTh pa3Hhii1 ;::i;oxo;::i; B 6y;::i;yII.J;eM. OcHOBHhIMH IIOIDITIDIMH <j:>HHaHCOBhIX pacqeToB HBJIHIOTCH:

• npou,eHm -

a6coJIIOTHhii1 ;::i;oxo;::i; OT ;::i;etter, rrpe;::i;ocTaBJIHeMhIX

B ;::i;oJir B JII06o:i1 ero <j:>opMe;

143


• npou,eHmHaJl cma61Ca -

OTHOCHTeJibHbIM )J,OXO)J, 3a <l>HKCHpOBaH-

HbIM HHTepBaJI BpeMeHH, H3Mepsi:eMbIM B rrpoueHTaX, HJIH 3aIIHCbIBaeMblM B BH,LJ,e ,L1,p06H;

• nepuoa HQ"IUC/leHWl -

HHTepBaJI BpeMeHH, K KOTOpoMY IIPHYPO-

qeHa rrpoueHTHaH crnaKa;

• 1;Canuma.t1U30U,Wl npou,enmoB -

rrpHcoe,LJ,HHeHHe HaqHcJieHHbIX rrpo-

ueHTOB K OCHOBHOM C}'MMe;

• napaw,enue -

yaeJiffqeHHe rrepBoHaqaJibHOM C}'MMbI B pe3yJibTaTe

KaIIHTaJIH3aUHH;

• auc1COHmUp06QHUe -

rrepecqeT CTOHMOCTHOM BeJiffqHHbl, OTHOCH-

I.UeMCH K 6y,LJ,yI.UeMY, Ha HeKOTOpblii:, 06bNHO 6oJiee pattHHM, MOMeHT BpeMeHH (T.e. orrepauHH, o6pamasi: HapameHHIO).

B

$HHaHCOBblX pacqeTax paJJiffqaJOT cJie,LJ,yIOmHe BH,LJ,bl rrpoueHT-

HblX CTaBOK: • B 3aBHCHMOCTH OT 6a3bl )J,JIH HaqHcJieHHH rrpoueHTOB H

npocmble

CllOJICHble; • no npHHUHIIY pacqeTa -

HapameHHH, T.e.

ae1CypcUBHy10,

H yqeT-

ttyIO, T. e. anmucunamu6Hy10; • no noCTOHHCTBY 3HaqeHHH B reqeHHe ,LJ,eMCTBHH KOHTpaKTa -

cupo6aHHble

H

Tl/IQ6010W,Ue,

rjJUIC-

T. e. 3aBHCHI.UHe OT roro, <l>HKCHPYeTCH JIH

H3MeHHIOI.UaHCH BO BpeMeHH 6aJa H pa3Mep Ha,u6aBKH K Heit

6330Bble MO.Z.e.JIH cl>HHaeCOBhlX onepaD;Hii Pa3JIHqHe crroco6oB HaqHcJieHHH rrpoueHTOB OT C}'MMbI ,LJ,eHer, rrpe,LJ,ocTaBJIHeMoii: B ,LJ,OJir B JII06o:H <l>opMe, orrpe,LJ,eJIHeT H paJJiffqHe BH,Ll,OB rrpoueHTHblX CTaBOK. IlpoueHTbl pa3JlffqalOTCH no 6a3e HX HaqHcJieHHH. IlpH HCIIOJib30BaHHH IIOCJie,LJ,OBaTeJibHO H3MeHHIOI.UeMCH 6a3bl )J,JIH pacqeTa rrpoueHTOB Ja 6a30BYIO rrpHHHMaIOT CYMMY, rronyqeHHYIO B pe3yJibTaTe HapameHHH HJIH ,LJ,HCKOHTHPOBaHHH. IlpH noCTOHHHOM 6a3e HaqHcJieHHH HCIIOJib3YIQT rrpOCTbie rrpoueHTHbie CTaBKH, a rrpH rrepeMeHHOM -

IlpocTble npoQellTllble CTaeKH.

CJIO)l(Hbie.

PacCMOTPHM OCHOBHbie THIIbl MO,LJ,e-

Jieii: <l>HHaHCOBblX pacqeTOB Ha OCHOBe rrpOCTblX rrpoueHTHblX CTaBOK.

Hapaw,enue no npocmou npou,enmHou cmaBKe.

IlpH BhmoJIHeHHH ,LJ,aH-

Hoii: orrepauHH HCIIOJib3YIQTCH CJie,LJ,yIOmHe o603HaqeHHH H <l>OPMYJibI:

I p-

npoueHTbI Ja Beeb cpoK ccy,LJ,hI; nepBOHaqaJibHaH C}'MMa )J,OJira;

S-

HapameHHaH C}'MMa .aoJira B KOHUe cpoKa ccy,LJ,hI;

i -

CTaBKa HapameHHH (B BH,LJ,e ,LJ,eCSJ:TffqHOM ,L1,p06H);

n -

cpoK ccy,LJ,hI (o6biqHo ro.ahl);

t -

qffCJIO ,LJ,Heii: ccy,LJ,bI;

K-

qHcJio .aHeii: B ro.ay;

I =Pni; S= P+ I= P+ Pni= P(l + ni); 144

(12.1) (12.2)


t

n=-

(12.3)

06bl'IHO K Hapa:w;emno no rrpOCThIM rrpo:u;eHTHbIM CTaBKaM rrp116era10T rrpH Bbl,ll;aqe KpaTKOCpoqHbIX ccy.n; (.n;o O,ll;HOro ro.n;a) IDIH B c.rryqaID{, Kor.n;a rrpo:u;eHThl He rrp11coe,n;11ID110TcR K CYMMe ,n;oJira, a rrepHo.n;~ecKH BbIIIJ1aq11aa10TCR Kpe.n;HTOPY. BM6op aap11aHTa pacqeTa orrpe.n;eAAeTcR: • 6a30BOH ,ll;JIHTeJibHOCTb10 ro.n;a (K = 360 .n;He:U - o6blKH06eHHble IDIH KO.M.Mep11ecKue rrpo:u;eHTbl, H K = 365, 366 .n;He:U - mo11nble rrpo:u;eHThl); • 6a30BblM ~CJIOM .n;He:U B MeCR:u;e (30 .n;He:H HJIH TOqHoe ~CJIO KaJieH,n;apHbIX .n;He:U); • pacrrpe.n;eneHHeM Haq11cneHHR rrpo:u;eHTOB B CMeXHhIX KaJieH,n;apHbIX rrep110.n;ax ( o6:w;aR CYMMa rrpo:u;eHTOB .n;eJIHTCH Me)l(Jly CMe)J(HblMH rrep110.n;aMH cornacHo <t>aKTifl!eCKHM ,n;aTaM); • HaJIHqHeM rrepeMeHHhIX CTaBOK (B CYMMe Hapa:w;eHHR yqlITbIBaeTcH ,ll;JIHTeJibHOCTb .n;e:UCTBHH KIDK)lOH nepeMeHHOH CTaBKH); • ycnoBHRMH peHHBecTHpOBaHHR cpe.n;cTB. PeHHaecTHpoaaHHe cpe.n;cTB npe.n;cnmm1eT co6o:U Heo,n;HOKPaTHoe IIOCJie,n;oBaTeJibHOe Hapa:w;eHHe no npOCTbIM npo:u;eHTHblM CTaBKaM B rrpe.n;enax 3a,n;aHHoro cpoKa. Hapa:w;eHHaR CYMMa 3a aecb cpoK ccy.n;hl

(12.4) r.n;e n1 - rrpo,n;o.JDKHTeJibHOCTb rrep110.n;a .n;eifcTBHR ccy.n;b1; i1 - CTaBKa peHHBeCTHPOBaHHR. EcJIH rrep110,n;b1 Haq11cJiemrn H CTaBKH He H3MeIDIIOTCR, Hapa:w;eHHaR CYMMa

(12.5) r.n;e m - qHCJIO peHHBeCTHI.J;HH. Hapaw,enue u BblnAama npou,enmo« « nompe6umeAbCKOM Kpeoume. B 3TOM cnyqae HCIIOJib3yeTCR MeTo.n; pa3oaoro Haq11cJieHHR rrpo:u;eHTOB Ha BCIO cyMMY Kpe,n;HTa c rrp11coe.n;11HeHHeM HX K OCHOBHOMY ,ll;OJiry a MOMeHT OTKPbITHR Kpe.n;11Ta. Bb1IIJ1aTa Kpe.n;HTa rrpo113ao,n;HTCR c rrep110,n;11qHOCTb10 m pa3 B ro.n; B TeqeHHe n neT, T. e. rrorarneHHe ,n;oJira c rrpo:u;eHTaMH rrpOH3BO,ll;HTCR qacTRMH Ha rrpornxeHHH Bcero cpoKa Kpe.n;HTa. B 3TOM cnyqae Hapa:w;eHHaR CYMMa ,n;oJira

S= P(l + ni),

(12.6)

a CYMMa paJoaoro rrorac11TeJibHoro IIJ1arexa

s

R=-

(12.7)

mn' r.n;e S - Hapa:w;eHHaR CYMMa .n;onra; P - rrepaoHaqaJibHaR CYMMa ccy,ll;hI; n - cpoK Kpe.n;HTa; m - q11cJio IIJ1arexe:U B ro.n;y.

145


jjuc1w1tmupo6a1tue u yttem no npocmblM npou,eHmHblM cma6KOM.

,[l,11c-

KOHT11poBaH11e 03HaqaeT 11epecqeT CT011MOCTHOro 110Ka3aTellil, OTHOCHrn;eroCH K 6y;:t,yJJ.J:eM)', Ha HeKOTOpbIM, 6oJiee paHH11M, MOMeHT BpeMeH11. ,[l,aHHaH 3a,n:aqa HBIDleTCH o6paTHOM Haparn;eH11IO 11pou;eHTOB, T. e. 110

S 011pe,ll;eJU1eTCH P. B

KOHmupyemcR

3TOM cnyqae roBOPHT, qTo CYMMa

S iJuc-

(HJI11 yq11TbIBaeTcH), caM 11pou;ecc Haq11cJieHMH 11pou;eH-

TOB 11 HX y,ll;ep)l(aHMH Ha3bIBaIOT

yttemoM,

a y,ll;ep)l(aHHbie 11pou;eHTbl -

iJucKoHmOM. CYMMa

P,

Haii:)l;eHHaH c 110Morn;bIO )];11CKOHT11poBaHMH, Ha3bIBaeT-

CH C06peMeHHOU Kanuma/lU3Up060HHOU cmoUMocmblO.

B 3aB11c11MocT11 OT BH)l;a 11pou;eHTHo:H cTaBKH 11p11MeHHIOT )];Ba BH)l;a )];11CKOHTIIPOBaHMH: MaTeMaTwqecKoe )];11CKOHT11POBaH11e 11 6aHKOBCKHM (KOMMepqecKH:H) yqeT. Ilp11 MaTeMaT11qecKOM )];11CKOHT11pOBaH1111 paccqHTblBaIOTCH )];11CKOHTHbIM MHO)l(HTeJib 11 )l;HCKOHT

(D)

co BCe:H CYMMbl )l;OJira

s

(S):

P=--路 1 +ni'

(12.8)

D=S-P路

(12.9)

TaKHM o6pa3oM pernaeTCH 3a,n:aqa, o6parnaH 3a,n:aqe HapameHMH 11epBOHaqaJibHOM CYMMbl CCY)l;bl, T. e. 011pe,ll;eJU1eTCH, KaKYIO 11epBOHaqaJibttyIO CYMMY Ha,n:o )l;aTh B )l;OJir, qT06b1 110Jiyq11Tb B KoHu;e cpoKa CYMMY Ke

i.

S 11p11 ycJioB1111,

qTo Ha ;::i:oJir Haq11cJU1IOTCH 11poueHTbI 110 cTaB-

Ilp11 3TOM )];11CKOHTHblM MHO)l(HTeJib, paBHblM

1/(1 + ni),

110Ka3bl-

BaeT, KaKYIO .ll:OJIIO COCTaBJIHeT 11epBOHaqaJibHaH CYMMa )l;OJira B OKOHqaTeJibHOM CYMMe. Ilp11 6aHKOBCKOM (KOMMepqecKOM) yqeTe 11pou;eHTbl Haq11cJU1IOT-

CH

Ha CYMMY, 110.ll:Jle)l(amyIO yrrJiaTe B KOHUe cpoKa, cornacHo yqeT-

Ho:H CTaBKe

d: P= S- Snd= S(l - nd);

(12.10)

D=Snd,

(12.11)

T. e . .n:11cKOHTHb1:H MHO)l(HTeJih

P= (1 - nd).

IlpOCTaH yqeTHaH CTaBKa 11p11MeHHeTCH 11Hor.n:a 11p11 pacqeTe HapameHHOM CYMMbI. EcJI11 113BeCTHa TeKYrn:aH CYMMa ;::i:oJira 11 Tpe6yeTcH 011pe;::i:eJI11Tb ero 6y.n:ymyIO CT011MOCTb, TO 11p11 11Cl10Jib30BaH1111 yqeTHOM cTaBKH

p S=-1-nd'

1 1 _ nd -

r.n:e

(12.12)

MHO)l(HTeJib Haparn;eHMH.

CJIOlKHLie npou,eemwe cTaBKH.

Ilp11cpe;::i:HecpoqHbIX11 ;::i:oJirocpoq-

HbIX <t>11HaHCOBO-Kpe,ll;11THbIX 011epauMHx, eCJI11 11poueHTbl He BbII1Jia-

146


'll1BaIOTCH Cpa3y xe IIOCJie MX Haq11cJieHMH, a IIpMCOe)J,MHHIOTCH K CYMMe .u.o.rrra, )1)UI HapameHMH npMMeHHIOTcH cJIO)Kllbie npou:eHTHhie cTaBKM. oa3a .ll;JIH HaqMcJieHMH CJIO)K:HblX IIPOU:eHTHbIX CTaBOK yseJIMqMBaeTCH c

K~blM

nepMO)J,OM BbIIIJiaT. IIp11coe.u.11HeH11e Haq11cneHHhIX npou:eHTOB K CYMMe .u.onra, KOTO-

paH CJIY)K:MT 6a3o:H

AJIH MX Haq11cneHMH, Ha3b1Ba10T Kanuma.tlU3at1iueu

npot1ieHmo6. <l>opMyna AJIH pacqern HapameHHOH CYMMhI B KOHU:e n- ro ro.u.a np11 ycnoBMM, qTo npou:eHThI Haq11cJ1H10TcH O.U.MH pa3 B ro.u.y, MMeeT BM,!l;

(12.13) r.u.e P - nepBoHaqaJihHhlH pa3Mep .u.onra; i - cTaBKa HapameHIDI no CJIO)K:HhlM npou:emaM; n - q11cno neT HapameHMH. IIpou:eHThl 3a 3TOT xe nep110.u.

(n

neT) HaxO.u.HT no cPOPMYJie

l = S - P= P(l + i)n - P= P[(l + l)n - 1]. Benwq11Ha

q = ( 1 + i)n

(12.14)

Ha3brnaeTcH MHOXMTeJieM HapameHIDI no

CJIO)K:HblM npou:eHTaM, a cPOPMYJia MYJIOH AJIH MX pacqern.

(12.13)

HBJIHeTCH OCHOBHOH cl>op-

IIpou:eHThI 3a K~hIH nocne.u.yiom11:H ro.u. ysen11q11BaIOTCH. M AJIH HeKOTOporo npoMexyTOqHoro ro.u.a t paccq11Tb1Ba10TCH IIO cPOPMYJie

(12.15) r.u.e t=

1, 2, ... , n.

IIp11 MCIIOJib30BaHMM CJIO)K:HbIX npou:eHTHhIX CTaBoK B03HMKaIOT Te xe npo6JieMbI, qTo M IIPM MCIIOJlb30BaHMM IIPOCTblX npou:eHTHblX CTaBOK. IIp11 Haq11cneHMM npou:eHTOB B cMe)K:HhIX KaJieH)J.apHbIX nep110.u.ax 06m11:H cpoK ccy.u.h1 .u.enMTCH Ha .U.Ba nep110.u.a cpoK n

n 1 11

n 2. Tor.u.a 3a Beeb

(12.16) a 3a nepMO)J,bl

n,

M

n2

COOTBeTCTBeHHO

11 = p [ (1 +

12

= p [ (1

it -1];

+ ir - (1 +if'

(12.17)

J.

(12.18)

Heo6XO)J,MMO OTMeTMTb, qTo OCHOBHaH cPOPMYJia )1)UI pacqeTa CJIOXHbIX npou:eHTOB

(12.13) npe.u.nonaraeT IIOCTOHHttyIO npou:eHTttyIO CTaB-

KY

Ha npoTHXeHMM Bcero cpoKa .u.e:HcTBMH ccy.u.h1. 0.u.HaKo qacTo 11cIIOJih3yIOT IIJiaBa10m11e MJIM nepeMeHHbie npou:eHTHbie cTaBKM. Tor.u.a HapameHHaH CYMMa

147


(12.19) r.ue ii>, i2, ... , ik, - nocJie.llOBaTeJibHbie BO BpeMeHH 3HaqeHIDI npou;eHTHbIX CTaBoK; n" n2, ... , nk> - MHTeJibHOCTH nepHO.llOB, B TeqeHHe KOTOpblX HCnOJib3YJOTCH COOTBeTCTBYJOW:He CTaBKH . .l(JISI HaqHcJieHIDI npou;eHToB npH .upo6HoM cpoKe ccy.llhl n Hcnonb3YJOTCH )lBa MeTO.lla pacqeTa: o6w,uu, 3aKJIIOqa10rn;HHCH B npHMOM pacqeTe no <l>OPMYJie ( 12.13), H CMeUlaHHblu, npe)lnonaraIOrn;HU: HaqHcneHHe npou;eHToB Ja u;enoe qHcno neT a no <l>OPMYJie CJIO)l(HbIX npou;eHTOB H Ja .upo6Hyio qacTb nepHO.lla b no <t>oPMYJie npocTbIX npou;eHToB:

a+b=n;

S= P(l + i) 0 (1 +bi).

(12.20)

3aMeTHM, ~ npH pacqere no CMeIIIaHHOMY MeTOJlY CYMMa HaqHcJieHHH OKa3b1BaeTCH 6onhrne, a npH b 1/2 otta MaKCHMaJibHa.

=

Hapaw,eHue u oucKoHmupoBaHue no CJIOJICHblM npou.eHmHblM cmaBKOM. ConOCTilBHB pe3yJibTilT Haparn;eHIDI CYMMbI npH pacqere no CJIOIHhIM npou;eHTHhlM CTilBKaM c pe3yJibTaTOM npH pacqere no rrpocThIM npou;eHTHhlM CTaBKaM, YBHJlHM, ~ MH cpoKa ccy.llhl MeHbrne ro)la CYMMa npocThlX npou;eHTOB, KaK npaBHJIO, 6onbrne CYMMhl CJIO:xcHblX npou;eHTOB, a MH cpoKa ccy.llhl 6oJibIIIe ro)la nonyqHM o6paTHhlH pe3YJibTaT. Ilpou;eHThl KanHTaJIH3HPYJOTCH o6wqHo HeCKOJibKO pa3 B ro)l. EcnH fO.llOBaH HOMHHaJibHaH CTaBKa j, qHCJIO nepHO.llOB KanHTaJIH3all;HH B fOJlY m, a o6rn;ee qttcno nepHOJlOB HaqttcneHIDI N = nm, TO KlUKJlbIH pa3 npou;eHTbI HaqHcAAIOTCH no cTaBKej/m. Tor)la Haparn;eHHaH CYMMa .llOJira

S= P(l + j/m)N.

(12.21)

3<P<PeKmU6HaJl cma6Ka - 3TO fO.llOBaH CTaBKa CJIO)l{HbIX npou;eHTOB, o6ycJiaBJIHBaIOrn;aH TOT xe pe3yJibTaT, qTo H npH m-pa30BOM HaqffCJiemrn npou;eHTOB no CTilBKe j/m. 0603HaqHB 3<l><l>eKTHBHYJO CTaBKY qepe3 i, 3anHIIIeM

i = (1 + j/m)m - 1.

(12.22)

.ll:HCKOHTHpoBaHHe no CTaBKe CJIO)l(HblX npou;eHTOB, eCJIH npou;eHTbl HaqHCAAIOTCH m pa3 B fOJlY, ocyrn;eCTBAAeTCH no <l>OPMYJiaM

s (1 +if' D=S- P.

(12.23)

(12.24)

BenHqHHa P B 3TOM cnyqae Ha3bIBaeTCH co6peMeHHou cmoUMo-

cmbJO S.

148


Ilp11 pacqeTe no

C/lOJICHoii y11emHoii cmaBKe d

npou,ecc AHCKOHTH-

posaHIDI npOHCXOAHT c 3aMe.arreHHeM, TaK KaK yqeTHa.sl CTaBKa npHMeIDieTCH K CYMMe, yxe AHCKOHTHpOBaHHOH Ha npe.nhl,Dyll.l,eM :nane:

(12.25) Ec;rn AHCKOHTHposaHHe no yqeTHOH CTaBKe npoH3BOAHTCH

m pa3

HOMUHOJlbHOUfH 3<jJ<jJeKmU6HOU gyqeT-

B ro;:zy, HCnOJib3YJOTCH noIDITHH HbIX CTaBOK:

(12.26) 3ct>ct>eKTHBHa.sl yqeTHa.sI CTaBKa xapaKTepH3yeT pe3yJibTaT AHCKOHTHPOBaHIDI 3a ro.n. Hapall.l,eHHe CYMMhl npH pacqeTe no CJIO)KHOH yqeTHo:H CTaBKe:

S=

p

(12.27)

(1-dr S=

n

p

(1- ~ )mn

.

(12.28)

OnpeoeAeHue cpoKa MameJtCa u npou,eHmHblX cmaBoK. CpoK IIJiaTexa j H 3cl>cl>eKTHBHOH i npou,eHT-

paccqHThIBaeTCH AJIH HOMHHaJibHOH

HOH CTaBOK COOTBeTCTBeHHO no cPOPMYJiaM

log(S/ P) .

n=

mlog(l +

~ )'

log(S/P) - log(l + i) 路

n - --'-----'-

(12.29)

(12.30)

IlpH AHCKOHTHPOBaHHH no CJIO)KHOH fOAOBOH yqeTHOH CTaBKe HOMHHaJibHOH yqeTHOH CTaBKe

f

dH

cpoK IIJiaTeJKa onpe.neJIHeTCH COOT-

BeTCTBeHHO no cPOPMYJiaM

n- log(S/ P) . - log(l-d)' log(S/ P) n=

(

f ).

(12.31)

(12.32)

mlog 1- m

149


3$cpeKTHBHaH npou;eHTHaH CTaBKa

i

H HOMHHa.JlbHaH npou;eHTHaH

cTaBKa j npH HapameHHH CYMMbI no CJIO)l{HOH ro.uoBoH: CTaBKe

m pa3

B ro.uy COOTBeTCTBeHHO onpe.ueJIHIOTCH no <l>OPMYJiaM

i = ~S/P-1; j

= m~S/P-1.

.[(HCKOHTHPOBaHHe no CJIO)l(HOH yqeTHOH CTaBKe HOH yqeTHOH CTaBKe

f

(12.33) (12.34) d

H HOMHHa.Jlb-

cooTBeTCTBeHHO onpe.ueJIHeTCH no cpopMYJiaM

(12.35) (12.36)

MO,Zl,eJIB DOTOKOB DJiaTelK:ei B tBBaeCOBYX peHT llomoK -

3TO nocne.uoBaTeJihHOCTh TIJiaTexeH: onpe.ueneHHoro Ha-

rrpaBJieHHH. IloJio)J(HTeJibHbie TIJiare)J(H 03HaqaJOT rrocTYTIJieHHe .ueHer, OTPHU:aTeJibHbie -

BbITIJiazy .ueHer. IlOTOK COCTOHT H3 OT,UeJibHbIX 't/le-

H06 nomoKa.

noTOKH TIJiaTe)l{eH KJiaccHcpHu;HpYJOTCH no pa3JIHqHhIM rrpH3HaKaM. no nepHO,UlfqHOCTH IlpOTeKaHHH IIOTOKH ,UeJIHTCH Ha pe2yARpHble H Hepe2yJ1Rp1tble.

noTOK, BCe qneHbl KOToporo nOJIO)J(HTeJibHbl H nOCTYfialOT qepe3 O.UHHaKOBbie HHTepBa.Jibl BpeMeHH, Ha3bIBaeTCH </JUHOHC060U peHmou, HJIH aHHyumemoM. PettTa xapaKTepH3yeTcH: qneHOM peHThI (pa3MepoM OT,UeJibHOfO TIJiaTe)l{a); nepHO.UOM (HHTepBa.JIOM BpeMeHH Me)l()zy .UBYMH CMe)l{HblMH TIJiaTe)l{aMH); cpoKOM H npou;eHTHOH CTaBKOH. no qlfCJIY BbITIJiaT qneHa peHTbl B TeqeHHe ro,na pa3JIHqaJOT peHTbl rooo6ble H p-cpoqHbie

(p

pa3 B ro.u).

no muny KOnUmlJ./lU30U,UU npOUeHTOB pa3JIHqaJOT peHTbl C e)l{efO,UHblM HaqHcJieHHeM; HaqHCJieHHeM

m

pa3 B ro.u H HenpepblBHbIM Ha-

qJfCJieHHeM. npH 3TOM MOMeHT HaqHcJieHHH npou;eHTOB MO)l{eT He coBIIa,UaTb c MOMeHTOM BbITIJiaTbl no peHTe. no BeJIJfqHHe qneHOB peHTbl pa3JIHqalOT nocmORHHbte H nepeMeHHbte peHTbl. no Ha,Ue)l{HOCTH BbITIJiaT peHTbl .ueJIHTCH Ha 6epHble H YC!l06Hble. no KOJIHqecTBY qneHOB pa3JIHqaJOT peHTbl C KOHe'tHblM 'IUCJlOM 't/leH06, orpaHHqeHHbie no cpoKaM, H BeqHbie peHTbl, c 6eCKOHe'tHblM 'IUCJlOM 't/leH06.

no CpOKaM Haqa.rra ,UeHCTBHH peHTbI H HaCTYIIJieHHH KaKOfO-JIH60 co6bITHH pa3JIHqaIOT HeMeOJleHHble H OmflOJICeHHble peHTbl.

150


BbITIJiaTa ITO peHTe MO)l{eT ocymeCTBJUIThCH B KOHI.l,e TIJiaTe)l{HOfO

(nocmHyMepaHoo), ( npeHyMepaHOO). nep1m.n;a

a TaK)l{e B HaqaJie HJUf cepe.n;irne ITepirn.n;a

AHaJIH3 ITOTOKa rniaTe)l{eH ITpe.n;IToJiaraeT pacqeT Hapall.l,eHHOH cyMMhl Bcex qneHOB ITOTOKa c HaqHcJieHHhIMH Ha HHX K KOHI.1,Y cpoKa ITpOI.1,eHTaMH H Ol.l,eHKY COBpeMeHHOH CTOHMOCTH ITOTOKa ITJiaTe)f(eH Bcex qJieHOB ITOTOKa, )l;HCKOHTHPOBaHHhlX Ha HaqaJio cpoKa peHThl. KoHKpeTHhIH CMhICJI 3THX xapaKTepHCTHK oITpe.n;eAAeTCH co.n;ep)l(aHHeM qneHOB peHThl HJIH HX ITPOHCXO)l{)l;eHHeM. Hapall.l,eHHaH CYMMa MO)l{eT ITpe.n;cTaBJUITh co6oH: o6IIzyIO CYMMY HaKOTIJieHHOH 3a)l;OJI)KeHHOCTH K KOHl.l,y cpoKa, HTOfOBhIH o6'beM HHBeCTHI.l,HH, HaKOTIJieHHhIH .n;eHe)l(HbIH pe3epB HT.)];. CoepeMeHHaH CTOHMOCTh ITpoeKTa BKJIIOqaeT B ce6H: ITPHBe.n;eHHhie K Haqany ocymeCTBJieHHH ITpOeKTa 3aTPaThl, KaITHTaJIH3HpOBaHHhIH .n;oxo.n;, HJIH qHCTYIO ITPHBe.n;eHHYIO rrpH6hIJib OT pea.TIH3al.l,HH ITpoeKTa, H T • .n;.

B

o6w;eM ~ae, Kor.n;a p51)]; IIJiare)l(eit

BpeMH

n, IIOCJie

R, BhlIIJia'IHBaeTCH

crrycTH

HeKOTOporo HaqaJihHOro MOMeHTa epeMeHH rrpH 06-

Il.l,eM cpoKe BhlTIJiaT

n

JieT' Hapall.l,eHHaH CYMMa IIOTOKa IIJiaTe)l{eit Ha

KOHel.I, 3TOro cpoKa

s = I. Rt (1 + ;r-ni. t

(12.37)

,[(aHHaH <Pop Myna ITpe.n;IToJiaraeT, qTo ITpoueHThI HaqHcAAIOTCH pa3 B fO)l. ITO CJIO)l{HOH CTaBKe

i.

CoepeMeHHaH CTOHMOCTh TaKoro ITOTOKa TIJiaTe)l{eH

A-~

f

Rt

(12.38)

(l+i)"'

PaccMOTPHM MeTO.ll.hI pacqeTa peHTHhIX TIJiaTe)l{eH. Hapall.l,eHHaH CYMMa ITOCTOHHHOH peHThI ITOCTHyMepaH)l.o

S=R

(1 +

ir i

-1

.

(12.39)

CoepeMeHHaH CTOHMOCTh TIOCTOHHHOH peHThl TIOCTffYMepaH)l.O

(12.40) <l>OPMYJia )l.JIH pacqeTa Hapall.l,eHHOH CYMMbl TIOCTOHHHOH peHThl ITpeffYMepaH)l.o HMeeT BH.ll.

151


S = R (l +it - l (1 + i).

(12.41)

I

CospeMeHH<UI (TeK)'ll.J.<UI) CTOHMOCTb noTOKa IDiaTexe:H npeHYMepaH,ll;O

A= R l - (1 ~ i)-n (1 + i).

(12.42)

l

HTaK, Mbl paCCMOTpeJIH OCHOBHbie IIOIDITIDI, orrpe,lleJieHIDI H MeTOJlbl BbIIIOJIHeHIDI <l>HHaHCOBbIX pacqeTOB.

12.2. BbmOnH&HMe

pac~eToa M aHanM3 AaHHblX

c npMM8H8HM8M ct>MHaHCOBblX <l>YHKi...,MM

,llnH

aHaJIH3a JlaHHhIX H BhIIIOJIHeHHSI pacqeroB, IIPHMeHSieMhIX B

<l>HHaHCOBOH ,lleffTeJibHOCTH rrpe,lllipIDITH:H H <l>HpM, Ta6JIH'IH&llt rrpoueccop Excel HMeeT JlOCTaTO'IHoe 11Hc110 BCTpoeHHbIX <l>ymamA. BbIrrOJIHeHHe paC'ICTOB peKOMCHJlYCTCff rrpoBO.zorn, B CJieJlYIOIUeM nopH,llKe: => IlO,ZU'OTOBHTb Ha pa6o'leM JIHCTe B OTJlCJlbHhIX ff'leibcax 3Ha'leHIDI OCHOBHhIX apryMCHTOB <l>YHKUHH; => yCTaHOBHTh KYPCOP B HOByio ff'leihcy JlJIB BBO,lla <l>OPMYJibl c HCIIOJlb30BaHHeM BCTpOeHHOH <l>HHaHCOBOH <l>YHKUHH;

=> BbI3BaTb Macmep </>yHKu,uu c

IIOMOIUblO KOMaHJl Bcma6Ka H </>yHH3 MeHIO HJIH Hrut<aTHeM Ha naHeJIH HHCTpYMeHTOB CmaHoapmHaJI OJlHOHMeHHOH KHOnKH;

KU,UR

=> (pHC.

B JlHaJIOfOBOM OKHe BbI6paTb KaTeropHIO <l>YHKUHH <PuHQHC06ble 12.1). TimrnHBllIHHCff B pe3yJibTaTe CIIHCOK COJlep)l(HT IIOJIHbIH

DEi

MacTep <1>91tKUMM · war 1 M3 2

A•T•"-

MaTetotanNeCK>te

CTanteTJ14eOC:tte (CblJ'lKH H l"laCCHBbl Pa6oTO 6o30ii AOHHblX TeKCTOBble

c

Bo3epaw.aer eHyrpeHHICtO CKOPOCTb o6opora AllR ps;,a.a noc.neAOBaTellbHblX onepau~11~ c HB11t14HbM1H npH pa3flH'.!HblX CKopocT~X nJ)l1XOAa H paCXOAa.

On1etta

PHc. 12. l. 3JCpaH BhlJOBa MacTepa cPYHKUHit

152


"f'IBCA

lJ :5J = 0,1 lJ = 0,12

3Ha..eHHA jAL:Fl = {-1000;400;200;200 :...-~---.:=====~===~~.::::; $HHaHC08aA_Hop"a 110%

PeHHaecT_HopMa 112%

= 0,089524854 6o3epaw.aer eHyrpeHHtatO cKopocrb o6opora AJlR p51Aa nocne.a.osaTeJlbHblX onepau.11f1 c Ham1L1Hb1M11 np11 pa3Jll1YHblX CKopOCTs:IX npHXOAB 11 pacxo.a.a'

PeKHeecT _HopNa HQPMa np116b1m1) nony4EleMoH :sa Aettbr11, ttaxo.a.AtU1-1ern e o6opore np11

peHHeecr11poeaH1111.

3Ha4eHHe: O, 089524854

OK

I !f

OTMett- ;;-

I

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BynymM CTOHMOCTh QnfKCMpOBaHHblX ITepHO,ll;WieCKHX BblIIJlaT HJIH e,ll;HHOH CYMMH; 6aJiaHC HaJIH'IHOCTH, KOTOpblH ,ll;OCTHraeTCSI ITOCJie ITOCJie,ll;HeH Bbl-

6c

IIJiaThI, ITO YMOJiqaHHIO paBHbIH

0

(HaITpHMep,

6y,1J;ymM CTOHMOCTh) BhIIIJiara

<l>HKCHpOBaHHM ITepHO,ll;H'IeCKM BbIIIJiara

naraO; naral; ... ; naraN )l;aTu1 oITepauuil: c HaJIH'IHhIMH KITep

06mee quc110 ITepuonoB BbIIIJiaT

qucJIO_ ITepHO,ll;OB KOJI_ITep H3 TC

CTilBKa HOpMa CYMMaO; CYMMal; •.. ;

HaqaJihHoe 3HaqeHue (reKymM CTOHMOCTh) BKJia,ll;a HJIM 3aHMa IlpoueHTHaH CTaBKa 3a ITepMon; HOpMa ,ll;MCKOHTHpOBaHIDI 3HaqeHIDI BhlIIJiaT M ITOCTYIIJieHMH

CYMMaN 3HaqeHIDI THIT

qMCJIO

0

HJIM

1,

o603HaqaJOIUee ITepMO,ll; ITpOM3-

BO,!J;CTBa BbIIIJiaThI Te)l(eH, ITpenIToJio)l(eHHe ITpenIT

0 -

(1 -

B HaqaJie ITepMona IIJia-

B KOHUe), ITO YMOJiqaHHIO paBHOe

0

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0, 1

nporHo3

159


0KOH'lQHUe ma611.

ApryMeHT

12.2

OrmcaHHe apryMema

nepHO.D:

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Haq_rrepHO.D:

HoMep rrepooro rrepHo,n:a IUiarexeii:, yqaCTByiomero B Bhl'IHCJieHHHX

KOH_rrepHO.D:

HoMep rrocJie,n:Hero nepHo,n:a IUiarexeii:, yqacmyiomero a Bhl'IHCJieHHHx

HOMHHaJihHaH_CTaBKa HoMHHaJihHaH ro.n:oaaH rrpou;eHTHaH craBKa peHHBeCT_HOpMa

HopMa rrpH6hUIH, rronyqaeMoii: 3a ,n:eHhm, Haxo.D:Hru;HeCH B HaJiffqHOM o6opore rrpH peHHBeCTHpOBaHHH

<l>HHaHCOBaH_HOpMa

HopMa rrpH6hUIH, BhIIUiaqHaaeMoii: 3a ,n:eHhm, HaXO.D:HIUHeCH B o6opore

3<l><t>eKT_CTaBKa

3<l><t>eKTHBHaH ro,n:oBaH rrpou;eHTHaH craBKa

MHorHe qnrnaHCOBbie <l>YHKUHH HMeIOT O.UHHaKOBbie apryMeHTbI (Ta6JI. 12.2). ~

Excel

,ll,Jill

pac'leTa onepanaii no K.pe,zurraM a laiiMaM

B cHcTeMe Excel cy:rn;ecTByeT rpynrra <l>YHKUHH, rrpe.n:tta:maqeHHbIX pacqeTa <l>HHaHCOBbIX orrepau;HH: ITO Kpe,UHTaM, ccy.uaM H Jai1MaM. 3TH pacqeTbl OCHOBaHbl Ha KOHu;erru;HH BpeMeHHOH CTOHMOCTH .ueHer, T. e. OHH rrpe.urronaraIOT HepaBHOI..J;eHHOCTb .ueHer, OTHOCHiu;HXCH K pa3HbIM MOMeHTaM BpeMeHH. 3Ta rpynrra <l>YHKUHH rrpe,n:HaJHaqeHa ,UJUI cne.uyIOrn;HX pacqeToB: • orrpe.ueJieHIDI 6y.uy:rn;ei1 CTOHMOCTH (HapameHHOH CYMMbI); • orrpe.ueneHIDI TeKYiu;eH CTOHMOCTH (HaqaJibHOro JHaqeHIDI); • orrpe.ueneHIDI cpoKa IIJiaTe)K.a H rrpou;eHmoH: cTaBKH; • pacqeTa rrep110.u~ecKHX IIJiaTexeH:, CBHJaHHbIX c rrorarneHHeM JaHMOB. 06maH <l>OPMYJia pacqeTa, KOTOpaH B Excel HCIIOJibJyeTCH rrpH BblqHCJieHHH <l>HHaHCOBbIX apryMeHTOB, CBHJaHHbIX c .ueHeXHbIMH IIOTOKaMH, HMeeT BH,U ,UJUI

pmt

(1 + rf -1 r

n

(1 + r · type)+ pv (1 + r) +fa = 0,

(12.43)

r.ue pmt - <l>HKCHpoBaHHaH (HeHJMeHHaH) rrep110,n:11qecKaH CYMMa IIJiaTe)K_a; n - o6mee qncno rrep110.uoB BhlIIJiaT; r - rrpou;eHTHaH cTaBKa Ja O.UHH rrep110.u; type - qlfcJio 0 HJIH 1, 060JHaqa10mee rrep110.u rrpoHJBO.UCTBa BbIIIJiaTbl (1 - B Haqane rrep110.ua IIJiaTexeH:, 0 - B KOHu;e); pv - TeKYiu;aH CTOHMOCTb BKJia,Ua (3ai1Ma), no KOTOPOMY HaqHC-

160


JHIIOTCH npoueHTbl no CTaBKe

r% HJIH TeKYIUaH CTOHMOCTh cepHH qmK-

CHpOBaHHbIX nepHO)l,JiqeCKHX IIJiaTexe:H;

fv -

6yJzyI.UaH CTOHMOCTb

BKJia.n;a (3aii:Ma) HJIH 6yJzyI.UaH CTOHMOCTb cepHH <l>HKCHpOBaHHbIX nePHO)l,JiqeCKHX IIJiaTexe:H. Ec11H npoueHTHaH cTaBKa 3a nepHo.n: HaqHcJieHHH

r= 0,

.n;JIH BhI-

'-1.HcJieHHH HCnOJib3yIOT CJie,ll,yIOIUyIO <t>opMyny:

pmt路 n + pv+ fv =0. <l>OPMYJihl

(12.44)

(12.43) H (12.44) HCnOJib3yIOTCH B <i>YHKUHHX .63,

KilEP,

HOPMA, II3, IIIIJIAT.

Onpe)J,eJieHHe 6y)J.ylll.eii

CTOHMOCTH

IlOHHTHe 6y.n:YIUei1 CTOHMOCTH OCHOBaHO Ha npHHUHne HepaBHOueHHOCTH .n:eHer B pa3Hbie MOMeHTbl BpeMeHH, TaK KaK BJIOXeHHH, C,ll,eJiaHHbie cero.n:HH, B 6yJzyI.UeM, KaK npaBHJIO, COCTaBHT 60JibIIIyIO BeJIJiqlfHY. <l>YHKUHH .63 n03BOJIHeT paccqHTaTb 6y.n:YIUYlO HJIH HapaIUeHHyIO CTOHMOCTb cepHH <l>HKCHpOBaHHbIX rrepHO)l,JiqeCKHX IIJiaTexe:H, a TaK)Ke 6y.n:YIUYlO CTOHMOCTb TeKYIUero 3HaqeHHH BKJia.n;a HJIH 3aii:Ma npH IIOCTOHHHOH rrpoueHTHOH CTaBKe. <l>YHKUHH B3PACIIl1C no3BOJIHeT paccqHTaTh 6yJzyI.Uee 3HaqeHHe HHBeCTHUHH IIOCJie HaqHcJieHHH CJIO)l(HblX npoueHTOB rrpH rrepeMeHHOH npoueHTHo:H crnaKe.

~

63.

PacqeT c noMOIUbIO <l>YHKUHH .63 6yJzyI.Ue:H CTOHMOC-

TH rrepHO,ll,JiqeCKHX IIOCTOHHHbIX IIJiaTexe:H H 6yJzyI.Uero 3HaqeHHH e.n:HHOH CYMMbl BKJia.n;a HJIH 3ai1Ma OCHOBaH Ha noCTOHHCTBe rrpoueHTHOH CTaBKH. CHHTaKcHc B3(HopMa;qHc110_ nepHo.n:oa;BhIIIJiaTa;HJ;THrr). 3HaqeHHe, KOTOpoe B03BpaIUaeT <l>YHKUHH .63, H3 <i>OPMYJibl

3TO apryMeHT

fv

(12.43).

PaccMOTpHM paJJIJiqHbie aapHaHTbI HCIIOJib30BaHHH 3TOH <l>YHKUHH rrpH perneHHH KOHKpeTHbIX 3a.n;aq.

1.

JJ:orrycTHM, Heo6XO,ll,HMO paccqHTaTb 6y.n:YIUYlO CTOHMOCTb e.n:H-

HOH CYMMbI BKJia.n;a HJIH 3aii:Ma, no KOTopo:H HaqHcJIHIOTCH CJIO)l(Hhie rrpoueHThI onpe.n:e11eHHoe qHc110 rrepHo.n:oa:

(12.45) r.n:e

pv -

TeKYIUaH CTOHMOCTb BKJia.n;a (3aii:Ma);

rrepHO,ll,OB HaqHcJieHHH npoueHTOB;

r-

n -

06IUee qlfCJIO

rrpoueHTHaH CTaBKa no BKJia-

;:i:y ( 3aii:MY). 3rn <l>OPMYJia COOTBeTCTByeT KJiaCCJiqeCKOH <l>OPMYJie pac'-leTa HapaIUeHHOH CYMMbl BKJia.n;a no MeTO,ll,y CJIO)l(HblX rrpoueHTOB.

,n:.mi BbNHCJieHHH 6y.n:YIUero 3HaqeHHH e,ll,HHOH CYMMbl c

noMOIUbIO

<t>YHKUHH .63 HCnOJib3yIOTCH apryMeHTbI: H3, HOpMa, '-1.HCJIO_nepHO-

161


)];OB. IlpM 3TOM q>OpMYJia 6y)];eT MMeTb BM =B3(HOpMa;qMcJio_rrepMO)];OB;H3). IlpM perneHMM KOHKpeTHOH 3a,z:i;aqM BMeCTO Ha3BaHMH apryMeHTOB YKa3bIBaIOT cooTBeTCTByro11me qMcna.

2.

PaccMOTpMM CMTYaII:MM, KOrJ:J:a IIJiaTe:xrn: rrpoM3BOMTCH cMcTeMa-

TMqecKM, a He O)];MH pa3, KaK B rrpe)];bUJ.YmeM IIPMMepe. 3TM IIJiaTe:xrn: MOryT ocyrnecTBJIHThCH B Haqane K<OK,ll;oro pacqeTHoro rrepMOJ:J:a (rrpettyMepaHJ:J:O) MJIM B KOHII;e (IIOCTttyMepaH)];O) B TeqeHMe

n

rrepMOJ];OB •

.[(orryCTMM, qTo B K<OK,ll;OM rrepMO)];e BHOCMTCH OJ];MHaKOBaH CYMMa. Tpe6yeTCH HaHTM COBOKYIIHyIO BeJittqMtty TaKMX BJIO)l(eHMH (MX 6yJ1:YIIIyIO CTOMMOCTb) B KOHII;e

n-ro rrepMOJ];a J1:JIH

o6oMX cnyqaeB. 0TJittqMe B pac-

qeTe rrpM 3TOM 3aKJIIOqaeTCH B TOM, qTo BO BTOpOM cnyqae He rrpOMCXOJ];MT HaqMcJieHMH rrpoII;eHTOB Ha IIOCJieJ];HMH BKJla,z:J;, T. e. Bee BKJla,rl;bl rrpettyMepaHJ:J:o YBeJittqMBaIOTCH Ha CJIO)l(Hhie rrpoII;eHThI Ha OJ:J:MH pacqeTHhIH rrepMOJ:J: 60JibIIIe, qeM BKJla,rl;bl IIOCTttyMepaH)];O.

2.1 . .[(JIH pacqern 6yJ:J:YIIIeH CTOMMOCTM cepMM <l>MKCMpOBaHHhIX rrepMO)];ttqeCKMX IIJiaTexeU:, ecJIM OHM BHOCHTCH B Haqane K<OK,ll;Oro rrepMOJ];a (TaK Ha3bIBaeMbIX o6H3aTeJibHhIX IIJiaTexeU: M rrpettyMepaHJ:J:O), MCIIOJlh3yeTCH qJOPMYJia

fv = pmt(l + r)+ pmt (1 + r) 2 + ... + pmt(l + rr = = pmt

(1 + rr -1 (1 + r). r

(12.46)

3Ta <l>OPMYJia COOTBeTCTByeT <l>OPMYJie pacqern HapameHHOH CYMMbl IIOCTOHHHOH peHTbl rrpettyMepaH)];O (12.41). IlpM pacqeTe c IIOMOIII;bIO <l>YHKII:MM B3 MCIIOJib3yIOTCH apryMeHTbI: HOpMa, qMcno_rrepMOJ:J:OB, BhIIIJiaTa, TMII = <l>OPMYJia

(12.46)

1.

Ha pa6oqeM JIMCTe Excel

6y)];eT MMeTb BM =B3(HOpMa;qMCJIO_rrepMO)];OB;BhIII-

JiaTa;l). Pe3yJihTaT pacqern c rroMOIII;hIO <l>YHKII:MM B3 J:J:OJl)l(eH coBrra,ri;aTh c pe3yJihTaTOM, rronyqeHHhIM no <l>OPMYJie

2.2 . .[(JIH pacqern 6yJ:J:YIIIeH

(12.46).

CTOMMOCTM cepMM <l>MKCMpOBaHHhIX rre-

PMOJ];ttqeCKMX IIJiaTexeU:, eCJIM BhIIIJiaThl IIPOMCXOMT B KOHII;e rrepMO)];a (TaK Ha3bIBaeMbIX o6bJqHbIX IIJiaTexeU: MJIM IIOCTttyMepaHJ:J:O), <l>opMYJIY

(12.45)

CJie)];yeT MOJ:J:M$MII;MpOBaTh:

fv = pmt+ pmt(l+r)+ pmt(l+r)2 + ... + pmt(l+rr- 1 =

= pmt (l + rr -

1.

(12.47)

r <l>OPMYJia

(12.47)

COOTBeTCTByeT <l>OPMYJie

(12.39)

KJiaCCttqeCKOH

MOJ];eJIM. 3arrMCh Ha pa6oqeM JIMCTe Excel, coorneTCTByromaH <PopMyne

(12.47), 162

6y)];eT MMeTb BM =B3(HopMa;qMcJio_rrepMOJ];OB;BhIIIJiaTa;0).


Ta61rnua

MeTO~

12.3

ea11aCJieeHJ1 nponeHToe e ro.zzy

06mee qf!CJIO rrepHO.UOB BhIIIJiaT

IIpo11eHTIIasi CTaBKll Ja rrepHO.U ttaqHcJiemrn, %

KsapTIUI1>m1H:

n 2n 4n

k k/2 k/4

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k/12

365n

k/365

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E)((e)J;Heam.m

Onycnrn apryMeHT nm=

0,

MO)l(HO 3TY 3anwc1> rrpe,1l;CTaBMTb B BM,D;e:

=o3(HOpMa;qwcno_rrepMO,ll;OB;BblnJiaTa) M IIO,ll;CTaBMTb BMeCTO apryMeHTOB COOTBeTCTBYJOIIJ;Me qwcna.

3aiJa1ta.

Paccqi.naTh, KaKrui: C)'MMa OKaJKeTCSI Ha cqeTe, ecmr

noJimKeHbI Ha

33 ro)J;a IIOLI 13,5 % ro)J;OBhIX.

27

ThIC. p.

IIpoueHTbI HaqHcJISIIOTCSI KaJK)l;hie

IIOJirO)J;a.

p e III e H He. ,LVuI pacqeTa HCIIOJib3yeM <l>OPMYJIY (12.45),

TaK KaK Tpe6yeT-

C51 HaifTH 6y.ll:YIIlee 3Haqemi:e e)J;HHOH C)'MMhI BKJia)l;a. YqTeM, qTo a ycnoBHH Ja)J;aqH 3MaH1>1 ro)J;oaoH: rrpoueHT H qHcJio JieT BKJia)l;a. EcJIH rrpouem1>1 HaqHcJIS1IOTCS1 HeCKOJibKO pa3 B ro)J;, Heo6X0,1J;HMO paccqHTaTb 06111ee qffCJIO rrepHO)J;OB HaqHcJieHHSI rrpoueHTOB H CTaBKY rrpoueHTa 3a rrepHO)J; HaqHCJieHHSI. HaH6onee pacrrpocTpaHeHHhie MeTOLlhI HaqHcJieHHSI rrpoueHTOB a ro)J;y rrpHae)J;eHhI a Ta6n.

12.3.

IlpH IIOJiyro)J;OBOM yqeTe rrpoueHTa 06111ee qHCJIO rrepHO)J;OB HaqHCJie-

33. 2 (apr)'MeHT 13,5 %/2 (apr)'MeHT -

HHSI 6y)J;eT paBHO HaqucJieHHSI H3

qffcJio_rrepHO)J;OB), a CTaBKa 3a rrepHO)J; HOpMa). Ilo yCJIOBHIO 3a)l;aqu apr)'MeHT

=-27. 3To 0Tpm1aTeJI1>Hoe qucno, 03Haqa10111ee BJIO:lKeHHe )J;eHer.

l1crron1>-

E3, JaIIHIIIeM: E3(13,5%/2;33 * 2;-27) = 2012,07 Thie. p.

3YS1 <l>YHKUHIO

3aiJa1ta.

IIpe,1l;rrono:lKHM, ecTb )J;Ba aapuaHTa HHBeCTHpoaaHHSI cpe,1l;CTB

B TeqeHHe qeTbipex JieT: B Haqane KaJK)l;Oro ro)J;a IIO)J;

KOHUe KaJK)l;Oro ro)J;a IIO)J;

38 % ffi)J;OBbIX.

26 % ro)J;OBhIX MJIH B 300 ThIC. p.

IIycTh exero)J;HO BHOCHTCSI

Orrpe,1l;eJIHTb, CKOJibKO )J;etter OKaJKeTCSI Ha cqeTe B KOHUe qeTBepToro ro)J;a rrpH KaJK)l;OM aapHaHTe HHBeCTHpOBaHHSI. Pe III e H He. TaK KaK B ,1J;aHHOM cnyqae rrpoH3BOLISITCSI rrepHOLIH'leCKHe IIJiaTeXH )J;JISI pacqeTa HCIIOJib3yeM <l>OPMYJibl (06S13aTeJibHbie IIJiaTeXH) H

(12.47) -

(12.46) -

rrepBbIH aapttaHT

BTOpoH: aapMaHT (061>1qH1>Ie IIJia-

TeXH).

B rrepBOM aapHaHTe Hapa111eHHIDI CTOHMOCTb rrepaoro BKJia)l;a pa3MepoM 300 ThIC. p. K KOHuY qeTBepToro ro)J;a c yqeTOM Ha'IHCJieHHSI CJIOXHbIX rrpoueHTOB COCTaBHT:

300(1 +0,26) 4 =756,14 TblC.

p.

DY.ll:YIIIIDI CTOHMOCTb K KOHuY qeTBePTQro ro,1J;a COCTaBHT:

163


BTOporo BKm1,n;a 300 (1 +0,26) 3 =600,11 TbIC. p.; TPCTbero BKJia,D;a - 300 (1+0,26) 2 = 476,28 TbIC. p.; UOCJie,!Ulero BKJia,n;a 300 ( 1 + 0,26) = 378 TbIC. p. COBOKYJIH<UI CTOHMOCTb BJIOXCHHH K KOHI.Jy 'ICTBCPTOro ro,n;a ,ll;OCTHrHeT: 756,14+ 600,11+476,28+378= 2210,53 TblC. p. Bo BTOpOM BapHaHTe upo:u;eHTbl Ha UOCJIC,ll;HHH BKJia,n;, c,n;eJiaHHbIH B KOH :u;e 'ICTBepToro uepHo,n;a, He Ha'IHCIDIIOTCH. Haparn;eHH<UI CTOHMOCTb COCTaBHT: TPCThero BKJia,D;a 300 (1+0,38) = 414 TbIC. p.; BTOporo BKJia,D;a 300 (1+0,38) 2 = 571,32 TbIC. p.; uepBoro BKJia,n;a 300 (1+0,38) 3 = 788,42 TbIC. p. COBOKYJIH<UI CTOHMOCTb BJIO)KCHHH K KOHI.Jy 'ICTBepToro ro,n;a COCTaBHT: 788,42 + 571,32 + 414 + 300 = 2073,74 TbIC. p. IlpH HCUOJib30BaHHH <l>YHKUHH .63 yKa.JbIBaIOT apryMeHTbl ,ll;IDI uepBoro BapHaHTa: HOpMa = 26 %, 'IHCJIO_uepHO,ll;OB = 4, BbIUJiaTa =-300, THU= 1; ,n;IDI BI'Oporo Bapmurra HOpMa = 38 %, 'IHCJio_uepHo,n;oB = 4, BbIUJlaTa = -300. ApryMeHT THU = 0 MO)KHO onycTHTb. CoOTBeTCTBCHHO COBOKYJIH<UI CTOHMOCTb BJIO)KCHHH COCTaBHT: .63(26%;4;-300;1) = 2210,53 TbIC. p . .63(38%;4;-300) = 2073,74 TbIC. p. Pac'IeTbl UOKa.JaJIH, 'ITO upe,n;UO'ITHTCJlbHee uepBbIH BapHaHT HHBCCTHpoBaHHH. ~ 63PACilHC. Ec;rn rrpo:u;eHTHaH CTaBKa MeHHeTCH c TeqeHHeM BpeMeHH, TO AJlll pacqeTa 6y;zymero 3HaqeHHH HHBeCTHI.J;HH (e.n;HHOH CYMMhl) IIOCJie HaqHcJieHHH CJIO)l(}fblX rrpo:u;eHTOB MO)l(HO HCIIOJib30BaTh <l>ymanno B3PACIIMC. CHHTaKcHc B3PACIIM C(HHBeCTHI.J;HH, { CTaBKal ;cTaBKa2; ... ;cTaBKaN}). IlpH HCIIOJib30BaHHH MaCCHBa rrpo:u;eHTHbIX CTaBOK {CTaBKal;cTaBKa2; ... ;cTaBKaN} CTaBKH Heo6xo.n;HMO BBO;:J;HTb He B BH.n;e rrpo:u;eHTOB, a KaK qffcJia, HarrpHMep {O, 1;O,15;0,05}. 0.n;HaKO rrpoII.J;e 3aIIHCaTh BMeCTO MaCCHBa CTaBOK COOTBeTCTB}'IOII.J;HH HHTepBaJI gqeeK, co.n;epxaII.J;HX 3HaqeHHH rrepeMeHHbIX rrpo:u;eHTHbIX CTaBOK. <l>YHKI.J;HH B3PACITMC (attrJIHHCKHH BapHaHT FvSchedule) HMeeT BH.n;

FvSchedule

= HHBeCTHI.J;HH. (1 + CTaBKal). (1 + CTaBKa2) .... X

(1 + CTaBKaN).

x

(12.48)

<l>OPMYJia (12.48) COOTBeTCTByeT KJiaCCffqeCKOH <l>OPMYJie ( 12.19) AJlll pacqern HapaI:u;eHHOH CYMMbl BKJia.n;a no MeTO;:J;y CJIO)l(}fbIX rrpo-

:u;eHTOB rrpH HCIIOJib30BaHHH rrepeMeHHbIX CTaBOK.

3aiJa11a. Ilo 06JIHra:QHH HOMHHaJIOM 100 TbIC. p., BblnymCHHOil: Ha IIICCTb JICT, upe,n;yCMOTPCH CJIC,n;yIOID;HH uopH,n;OK Ha'IHCJICHHH npo:u;eHTOB: uepBblH ro,n; 10 %, ,n;Ba uocne,n;y10rn;HX ro,n;a 20 %, ocTaBIIIHecH TPH ro,n;a 25 %. Pacc'IH164


P11c. 12.9. BH,!1; 3lUIOJIHeHHoro OKHa lloa6op napOMempa

YCT aHOBHTb

e a4eHKe: j$A$1: $8$61 3Ha!:!.<'H""' 1546.88

i1.3MeHS!A 3Ha4eHl1e "4Si1KH:

r-$-8$-2---:::=J

TaTb 6y.zzynzyio (uapam.emzyIO) CTOHMOCTb o6JIHran;HH no CJio:lKHOJ;\: npon;eHTHOH CTaBKe. p e w e H H e. IlycTb B jlqeAKH Al :A6 BBe,neHbl COOTBeTCTBeHHO 3uaqeuHJ1 10 %, 20 %, 20 %, 25 %, 25 %, 25 %. Tor.na uapameuHIUI CTOHMOCTb o6nuramu1 COCTaBHT: E3PACHHC(100,Al:A6) = 309,38 TbIC. p. Ilpu pacqere no cf>oPMYJie (12.48) uapam.eHHIUI CTOHMOCTb COCTaBHT: 100(1+0,1)(1+0,2)(1+0,2)(1 + 0,25)(1+0,25)(1+0,25) = 309,38 ThIC. p .

3aiJa11a. HcxoM H3 IlJiaHa uaqHcneHHJI npon;eHTOB, npHue.neuuoro B npe.llhI,nYUJ.eA 3a,u.aqe, paccquTaTh HOMHHaJI o6JIHran;HH, ecJIH H3BeCTHO, qTQ ee 6y.nym.IUI CTOHMOCTb COCTaBHT 1546,88 TbIC. p. Pew e u He. AiuI peweuHJI 3a,u.aqH Hcnonb3yeM annapaT no.n6opa napaMeTPa naKeTa Excel, Bhl3hIBaeMhIA KOMau,noJ;I: MeHIO CepBUC, noa6op napa-

Mempa. IlyCTb B WieJ;\:KH Al: A6 uue.neu IlJiau uaqffCJieHHJI npon;eurou. B WieAKy Bl JanHweM lf>oPMYJIY=E3PACilHC(B2,Al :A6). TaK KaK Wieil:Ka B2 nyCTIUI, ro B srqeH:Ke Bl 6y,neT uyneuoe 3HaqeuHe. YcTaHOBHB KYPCOP B Sl'leHKY Bl, Bbl6HpaeM B MeHIO Excel KOMau.ny CepBuc, lloiJ6op napOMempa H 3anoJIIDieM OTKphmweecH ,nHanorouoe OKHO lloiJ6op napOMempa, KaK noKaJauo ua puc. 12.9. B pe3yJihTaTe B SllleH:Ke B2 nOHBHTCH Juaqeuue HOMHHana o6nuran;uu 500TbIC. p.

Onpe.QeJieHBe TeK)'lll;eii CTOBMOCTH Bo MHOrnx pacqeTax u:cnoJib3yeTc.s1 noH.sirne TeKYI.Ue:H (cospeMeHuo:H) CTOHMOCTH 6y,zzy:w,HX ,llOXO,llOB H paCXO,llOB. 3-ro IlOH.sITHe 633HpyeTC.sI Ha KOHl{em~HH BpeMeHHOH CTOHMOCTH .aeHer, cornacHO KOTOpo:H paCXO,llhl H .llOXO,llhl, He OTHOC.silIUfeC.sI K O,llHOMY MOMeHTY speMeHH, MOXHO COilOCTaBHTb nocpe,llCTBOM npHBe,lleHH.sI HX K O,llHOMY cpoIcy, T.e. nocpe.acTBOM .au:cKOHTHpOBaHH.sI. TeicynzyIO CTOHMOCTh nonyqaIOT B pe3yJibTaTe npu:Be,lleHH.sI 6y,zzy:w,HX ,llOXO,llOB H paCXO,llOB K HaqaJibHOMY nepu:o.ay BpeMeHH. Excel co.aep:>KHT P.sl.ll <l>YHKllHH, KOTOphle noJBOJI.sIIOT paccqHTaTb: • TeicynzyIO CTOHMOCTb e,llHHOH CyMMhl BKJia,lla (3aHMa) H <l>HKCHPOBaHHhIX nepu:o.au:qecKHX IlJlaTexe:H - <l>YHKllH.sI II3; • qffCTYJO TeKYLUYIO CTOHMOCTb 6y,zzy:w,u:x nepu:o.au:qecKHX pacXO,llOB H nocTYilJleHu::H nepeMeHHo:H BeJiu:qHHhl - <l>YHKllH.sI HII3; • qu:cTYJO TeKYLUYIO CTOHMOCTb HeperyJI.sipHhIX paCXO,llOB H IlOC'rynJieHHH nepeMeHHOH BeJIH:qHHhl - <l>YHKl.lH.sI qJiCTH3.

165


3aMernM, 'ITO pac'leTbI c 11c11011b3oeamt:eM <l>YHKUHH HI13 H II3 HBJUIIOTCH 'laCTHbIMH CJIY'laHMH llPH Bbl'IHCJieHHH Teicyll.{eH CTOHMOCTH O)l(H,IJ,aeMbIX llOXOllOB H pacXOllOB, KOTOpbie B o6rn;eM CJIY'lae MOryT 6h1Th 11epeMeHHhIMH H rrpoHCXO)l;HTb e pa3Hb1e 11epHO)l;bI epeMeHH. Pac'leT c llOMOill;bIO <l>YHKUHH II3 llpHMeHHIOT llPH )l;eHe)J(J{bIX llOTOKax paBHOH eeJIH'IHHbI H paBHhIX HHTepea11ax Me)l{)ly 011epau;HHMH. <l>YHKUHH HII3 MOXeT HCllOJib30BaTbCH llPH pac'leTe )l;eHe)J(J{blX llOTOKOB 11epeMeHHOH BeJIH'IHHbl, llPOHCXO)l;Hill;HX qepe3paBHbie11p0Mexyn<H epeMeHH. <l>YHKUHH q11cTH3 1103BOJIHeT Bbl'IHCJIHTb 'IHC'I)'IO TeKyllzyJO CTOHMOCTb 11epeMeHHbIX )l;eHe)J(J{bIX llOTOKOB, HBJUllOill;HXCH HeperyJIHpHbIMH.

<l>ymmHB 03.

3Ta <l>YHKUHH 11pe)l;HaJHa'leHa llJIH pac'leTa Teicyll.{eH

CTOHMOCTH e)l;HHOH C)'MMbl BKJia)l;a (3aHMa) H 6y.z:cyIUHX <l>HKCHpoeaHHbIX IIJiaTexeH. 3TOT pac'leT HBJUleTCH o6paTHbIM pacqeTY 6y.z:cyIUeH CTOHMOCTH llpH OOMOill;H <l>YHKUHH o3. CHHTaKcHc II3(ttopMa;KIIep;eh1IIJiarn;6c;TH11). 3tta'lettHe, Kornpoe B03BpamaeT <l>YHKUHH II3, -

pv

HJ <t>opMyJihI

3TO apryMeHT

(12.43).

PaccMOTpHM HcnoJib3oerume 3TOH <l>YHKUHH B KOHKpeTHbIX pacqerax.

1.

,[(011ycTHM H3BeCTHO 6y)l;ymee (Haparn;eHHOe) 3Ha'leHHe BKJia)l;a

(3aHMa). Tpe6yeTCH 011pe)l;eJIHTb Teicyll.{ee JHa'leHHe 3Toro BKJIMa, T. e. C)'MMY, KOTOPYJO HeOOXOllHMO llOJIO)l(HTb Ha C'leT cero)l;HH, 'IT06bl B KOHUe n-ro 11epHO)l;a OHa)l;OCTHrna 3a)l;aHHOfO 3Ha'leHHH. 3To 3Ha'leHHe MO)l(HO 110.JIY'IHTb H3 <l>OPMYJibl

(12.45): pv

<l>opMyJia MO)l;eJIH.

(12.49)

=

fv

(12.49)

(1+ rf

COOTBeTCTByeT <t>opMyJie

(12.23)

KJiaCCH'leCKOH

IlpH HCllOJibJoeattuu <l>YHKUHH TI3 ll1IH pac'leTa e o6rn;eM BHlle TeIcyll.{ero JHa'leHHH BKJIMa MO)J(J{O 3a11ucaTh: =Il3(ttopMa;KIIep;;6c).

2.

IlpellIIOJIO)l(HM Te11epb, 'ITO Tpe6yeTCH HaHTH TeKyIIzyJO CTOHMOCTb

6y.z:cyIUHX 11epHO)l;H'leCKHX llOCTOHHHbIX IIJiarexeH, KOTOpbie llpOH380MTCH B tta'laJie HJIH Kottu;e Ka)l(lloro pac'leTHoro 11epHo)l;a. Cornactto KOHI..J;ellUHH epeMeHHOH CTOHMOCTH, 'leM llaJibIIIe OTCTOHT OT HaCTOHmero MOMeHTa llOCTYIIJieHHe HJIH paCXOllOBaHHe cpe)l;CTB, TeM MeHh-

IIIYIO

TeKymYJO uettHOCTb otto 11pe.D:CTaBJU1eT. TaKHM o6pa3oM, 11pH

llpO'IHX paBHbIX YCJIOBHHX TeKymaH CTOHMOCTb BKJIMOB 11peH)'MepaHllO 60JibIIIe, 'leM Teicyll.{aH CTOHMOCTb BKJia)l;OB llOCTH)'MepaH)l;O.

2.1.

Pac'leT TeKyrn;eH CTOHMOCTH cepHH 6y.z:cyIUHX llOCTOHHHbIX 11e-

pHO)l;H'leCKHX ( o6H3aTeJibHbIX) IIJiarexeH, llpOH3BOllHMbIX B Ha'laJie Ka)l(llOro 11epHO)l;a H llHCKOHTHPOBaHHbIX HOpMOH llOXO)l;a

r,

llpOH380-

llHTCH 110 <l>OPMYJie

1pv = pmt

166

1

(l+rf (l+r). r

(12.50)


<l>opM)'Jia (12.42), COOTBeTCTByIDW:ruI KJiaCCH11eCKOM MO,n;emi:, no3BOmleT paccq1uaTb COBpeMeHIIyID CTOHMOCTb IlOCTO.HHHOM peHTbl npeH)'MepaH,n;O. pacqern 3TOM BeJIHqHHbl npH IlOMOW:H <l>YHKIJ;HH n3 HCilOJib3yIDT apryMeHTbl: HOpMa, Knep, BblITJiaTa, a TaIOKe THil 1. 06:w;rur <t>opMyJia ,n;JI.H perneHH.H 3TOM Ja,n;aqH 6y.n;eT HMeTb BH.n; =03(HOpMa;KITep;BhIITJiaTa;;l). 2.2. pacqern TeKYrn;e:H CTOHMOCTH IlOCTO.HHHbIX nepHO,ll;H11eCKHX nJiaTexe:H, npOH3BO,ll;HMblX B KOHIIe nepHo.n;a (o6bJqHbIX ITJiaTexe:H), cpopM)'JIY (12.50) CJie,n;yeT MO.llH<l>HIIHPOBaTh:

,nm.

=

,nm.

1pv

= pmt

1

(1 + r

rr

(12.51)

AHanorH11HruI <t>opM)'Jia KJiaccH11ecKo:H Mo,n;eJIH - (12.40). CoOTBeTCTByrorn;rur .n;aHHOMY pacqeTY <t>opM)'Jia B Excel 6y.n;eT HMeTb BH.n; =03 (HOpMa, Knep, BbIITJiaTa). TaK KaK no YMOJil!aHHIO apl)'MeHT THIT paBeH 0, em MO)l{HO He ~bmaTh.

3aiJa'la. <l>HpMe n01pe6yeTCR 5000 ThIC. p. qepe3 12 neT. Onpe,11;eJIHTh CYMMY e.llHHOro Te:icymero BKJia,na, KOTOPYJO He06XO.llHMO noJio:>KHTh Ha ,11;eno3HT, eCJIH npou:eHTHaR CTaBKa no HeMY COCTaBJlj{eT 12 % B ro,ll. p e III e H He. ,LI.mi: pacqeTa HCnOJib3yeM <l>OPMYJIY ( 12.49) HJIH COOTBeTCTBYIOIIIYJO eii 3anHCb <l>YHKUHH Il3. TaK KaK HOpMa = 12 %, Knep = 12, 6c = 5000, 3anHIIIeM: Il3( 12%;12;;5000) =-1283,38 TbIC. p. Pe3yJibTaT pacqern nonyqHJicR OTpHU:aTeJibHblH, nocKOJibKY TIO CYMMa, KOTOPYJO Heo6XO,llHMO BJIO)!(HTb.

3aiJa'la. EcTb ,11;sa sapHaHTa nOKYUKH .llOMa: 3aDJiaTHTb cpa3y 99 000 TblC. p. HJIH B paccpoqKY - no 940 TbIC. p. e:lKeMecsi:qHo B TeqeHHe 15 neT. Onpe,n;eJIHTb, KaKOH BapHaHT npe,n;noqTHTeJibHee, eCJIH npou:eHTHaR CTaBKa COCTaBJIReT 8 % ro,llOBbIX. p e III e H H e. ,LI.mi: cpaBHeHHR npHBe,11;eM 3TH ,lleHe:lKHbie noTOKH K 0,llHOMY nepHO.llY BpeMeHH, T. e. paccqHTaeM TeKYIIIYJO CTOHMOCTb 6y.llYIUHX <l>HKCHpoBaHHblX nepHO.ll}fqeCKHX BblilJlaT. .[{onyCTHM, ~ BblilJlaTbl npoHCXO,llHT B KOHU:e KIDK.UOro pacqeTttoro nepHo,n;a. Ilo ycnoBHIO 3a,naqH nepHO.ll HaqHcneHHR npou:eHTOB paneH Mecsi:u:y. Ilo Ta6JI. 12.3 onpe,n;eJIHM o6mee q}ICJIO nepHO.llOB BblilJlaT Knep = 15 路 12 H npou:eHTH}'IO CTaBKY 3a nepHO,ll HaqHCJieHHR HOpMa= 8 %/12. PacqeT MO:lKHO BbIDOJIHHTb no <l>OPMYJie (12.51) HJIH c Hcnonb3oBaHHeM <l>YHKUHH Il3: Il3(8%/12;15* 12;-940) = 98 362,16 TblC. p. 3anpaIIIHBaeMaR u:eHa (99 000 TblC. p.) 60JibIIIe paccqHTaHHOH Te:icymeH CTOHMOCTH nepH0,1J;ffqeCKHX BblDJiaT, CJie,llOBaTeJibHO, HeBbirO.llHO noKYUaTb ,llOM cpa3y, nyqIIIe paCTRffYTb DJiaTe)!(H Ha 15 JieT. ~ Hil3. 3Ta <l>YHKIJ;H.H npe.n;HaJHaqeHa .llJl.H BbJqHCJieHH.H qffCTOM TeKYrn;e:H CTOHMOCTH (NPV) nepHO,ll;Jf'leCKHX ITJiaTexe:H nepeMeHHOM BeJIH11HHbl KaK CYMMbl O)l{H,ll;aeMbIX ,n;oxo,n;oB H pacxo,n;oB:

167


NPV

= f, value;;• (1 + r)

i=I

r -

r.ue

(12.52)

HOpMa .UHCKOHTHpOBaHIDI (cpe,UIDUI ueHa KaIIHTaJia);

q11c110 BblIIJiaT H IIOCTYIIJieHHH;

value; -

n -

3HaqeHIDI BbIIIJiaT H IlOC'fYII-

JieHHH. <l>opM}'Jia (12.52) COOTBeTCTByeT <t>opM}'Jie (12.38) KJiaCCJ.lqeCKOH MO,UeJIH. MeTO.U onpe.ueJieHIDI qffCTOH TeKYUieH CTOHMOCTH qacTO rrpHMeIDIeTCH npH oueHKe 3<l><l>eKTHBHOCTH HHBeCTHUHH. OH noJBOJIHeT onpe.uenHTh HIDICHIOIO rpaHHuy npH6bIJibHOCTH H HCITOJib30BaTb ee B KaqeCTBe Kp:UTepIDI npH BbI6ope HaH60Jiee 3<l><l>eKTHBHOfO npoeKTa. ,llHCKOHTHpOBaHHe O)l(lf,UaeMhIX .UOXO.UOB H paCXO.UOB Il03BOJIHeT yqeCTb HJ,aep)IQ(lf npHBJieqeHIDI KaITHTa.n:a. I1011o:xrnreJihHOe JHaqeH:ue

NPV

HBJIHeTCH IlOKaJareJieM roro, ~ npoeKT npHHOCHT qffCTYJO npH6bIJib CBOHM HHBecropaM IIOCJie IlOKpbITIDI Bcex CBHJaHHbIX c HHM paCXO.UOB. CHHTaKCHC HI13(HopMa;cYMMal;cYMMa2; ... ;cYMMaN). CqHTaeTCH, qTo HHBeCTHUIDI, qffCTaH TeKYUiaH CTOHMOCTb KOTOpoli BhNHCJIHeTcH c noMOIUhIO <l>YHKUHH HI13, Haq11HaeTcH Ja O.UHH rrep110.u .uo .uaTbI apfYMeHTa CYMMal H JaKaffqHBaeTCH c nocne.uHHM JHaqeHHeM B cnHcKe. Ecn:u nepBhIH .ueHe:>KHhIH BJHoc npHXO.UHTCH Ha Haqa.n:o nepBoro nep110.ua BhIIIJiaT, TO nepBoe JHaqeH:ue cne.uyeT .uo6aBHTh (HJIH BbNeCTb, eCJIH 3TO JaTpaTbl) K pe3yJihTaTY <l>YHKUHH HI13, HO He BKJIIOqaTb ero B CITHCOK apfYMeHTOB.

3aoa'la. Httaecnn.1.HH B npoeKT K KOHIJ.Y nepaoro ro.n.a ero peanHJaIJ.HH 10 000 p. B nocne,1.1;y101I.1,He TpH ro.n.a m1rn.n.a10TcH ro.n.oable .n.oxo.n.b1 no npoeKTY 3000, 4200 H 6800 p. J13.n.ep:>KKH npHBJietieHHH KanHTana 10 %. Paccocrnm1T

C'IHTaTb 'IHCTYIO TeKYllJ.YIO CTOHMOCTb npoeKTa. p e ill e H He. TaK KaK HHBeCTHUHH

10 000

p. OTHOCHTCH He K Ha'laJibHOMY

MOMeffTY, Ha KOTOpbIJ:\: npOH3BO,ll.HTCH pactieT, TO 3TO 3Ha'leHHe CJie.n.yeT BKJIIOqffTb B cnHCOK apryMeHTOB. IlOCKOJibKY 3TOT .n.ette:lKHbIH noTOK OTHOCHTCH K JaTpaTilM, TO CYMMa

10 000

JanHCblBaeTCH co 3HaKoM MHffYC. OcTanbHble

.n.eHe:lKHble nOTOKH npe,ll.CTilBJIHIOT co6oH ,ll.OXO,ll.bl, n03TOMY OHH ~bmaIOTCH co 3HaKOM IIJIIOC. qHCTYIO TeKYllJ.YIO CTOHMOCTb npoeKTil MO:lKHO 3aIIHCaTb B CJie,l.l;ylOII.l,eM BH.D.e: Hil3( 10%;- l 0 000;3000;4200;6800)

= 1188,44 p.

IlonyqeHttoe 3HatieHHe npe.n.cTaBJIHeT co6oH: a6coJIIOTffYIO npH6blJib OT BJIO:lKeHHH

10 000

p. qepe3 ro.n. c yqeTOM H3,ll.ep:iKeK npHBJie'leHHH KanHTana.

3aoa'la. 3aTpaTbI no npoeKry B HatianbHbIH MOMeHT ero peanH3aUHH co37000 p., a O:lKH,ll.aeMble .IJ;OXO,ll.bl 3a nepBble nHTb JieT: 8000, 9200, 10 000, 13 900 H 14 500 p. Ha illeCTOH ro.n. O)l(H,ll.aeTCH y6blTOK B 5000 p. Qetta KanHTana 8 % ro,ll.OBbIX. PaCC'IHTilTb 'IHCTYIO TeKYllJ.YIO CTOHMOCTb npoeKTa.

CTaBJIHIOT

P e ill e H H e.

B 3TOM cnyqae

HeT tteo6xo.n.HMOCTH .D.HCKOHTHpoaaTb Hatianb-

Hble 3aTpaTbl no npoeKry, TaK KaK OHH OTHOCHTCH K HaCTOHII.l,eMY MOMeHTY H HX TeKYllJ.aH CTOHMOCTb paBHa

168

37 000

p.

.llmI

cpaBHeHHH 3aTpaT c 6y.n.ymHMH


JlOXO,llaMH H y6hITKaMH UOCJie,llHHe He06XO.llHMO npHBeCTH K HaCTmnueMY MOMeHry. IlycTb .llOXO.llhl BBe.lleHhl cooTBeTcTBeHHO B H'Ieil:KH Bl: B5. Tor.Ila 'IHCTYJO TeKYIUYJO CTOHMOCTb npoeKTa MO:)f(HO 3aUHCaTb B CJie.llYIOIUeM BH,lle: HII3(8 %;Bl:B5;-5000)-37 000 = 3167,77 p.

<l>ymauur 'IHCm3. 3Ta cp)'HKIJ;IDI II03BOJUleT paccqu:TbIBaTb qu:cTeicyllzyIO CTOHMOCTb Heperym1pHbIX rrepeMeHHbIX BbIIUiaT H IIOC1)'1IJieHU:H:

T)'IO

XNPV

=~ "'-' i=l

value; do-d· (1 + r) 365

'

(12.53)

I

r.n;e r - rrpoueHTHasI CTaBKa (HOpMa .n;HCKOHTHpOBaHIDI); d; - .u;aTa i-H orrepauu:u:; do - .u;aTa ffYJieBoii orrepauu:u: (HaqaJibHasI .u;arn); value; CYMMa i-H: orrepauu:u:. Cu:maKcu:c 1fHCTH3(cTaBKa,{cYMMa0;cYMMal; ... ;cYMMaN},{.u;arn0; JJ.arnl; ... ;.u,arnN}). LJ:aTbl orrepauu:H: )J,OJDKHbl COOTBeTCTBOBaTb C}'MMaM BbIIUiaT H IIOC1)'1IJieHHH. PacqeT rrpou:3BO.U.HTC.R Ha .u.aTY OCYIUeCTBJieHIDI rrepBoii orrepauu:u:, T. e. Ha TeKYmYJO .u;a'fY. TaKHM o6pa30M rrepBasI C}'MMa (CYMMaO) He .u,u:cKOHTu:pyeTCH. Ecnu: Tpe6yeTcH c.u,enaTh pacqeT Ha .u.aTY, rrpe.u,IIIecTByiomyio .u,aTe rrepBoil orrepauu:u:, cne.u,yeT 3a,u;aTh apryMeHT CYMMaO, paBHhlM ffYJIIO. Ecnu: rrpe.u;rronaraeTcH HeCKOJibKO orrepauu:it ( mKH,LJ,aeMbIX IIOC1)'1IJieHHH H BbIIUiaT), MO)l{}{O YKa3aTb CCblJIKH Ha ,RqeHKH, co.u,epxamu:e .u,aTbl u: CYMMhl orrepauu:H: B o6~HOM cpopMaTe. 3ailarul. MHBeCTHUIDI pa3MepoM 10 MJIH p. OT 1HIOJUI1998 r., npHHeceT .llOXO.llhl: 2750 ThIC. p. 15 ceHn16pH 1998 r., 4250 TbIC. p. 1HOH6pH1998 r., 5250 ThIC. p.

1 HHBapH 1999 r. HopMa .llHCKOHTHpOBaHHH 9 %. Onpe.rr;eJIHTb 'IHCTYJO TeicyCTOHMOCTb HHBeCTHUHH Ha 1 HIOJIH 1998 r. H Ha 1 HIOJIH 1999 r. IloMeCTHM B H'Ieil:KH Bl: El ,llaThl BhIUJiaT H nocryUJieHHif, a B H'Ieil:KH B2: E2 - CyMMhl onepauHil:. Ha'laJibHhlif UJiaTe)I{ .rr;oJl)l(eH 6h1Th BKJIIO'leH B 'IHCJIO apryMeHTOB co 3HaKOM MffHYC (H'Ieil:Ka B2 = -10000). B H'Ieil:icy Al noMeCTHM .nary 1.07.1997, a B H'Ieificy A2 - ttyJieaoe 3Ha'leHHe. qHCTYJO TeKYIUYJO CTOHMOCTb HHBeCTHUHH Ha 1 HIOJIH 1998 r. H Ha 1 HIOJIH 1999 r. 3aUHllleM B CJie.llYIOIUeM BH,lle: qMCTH3(9%,B2: E2,Bl: El)= 1856,25 Thie. p.; qMCTH3(9 %,A2: E2,Al: El)= 1702,99 Thie. p. IlpH ttyJieBhIX Ha'laJibHblX 3aTPaTax (H'Ieil:Ka B2 = 0) TeKYIUaH CTOHMOCTb 6y.llYIUHX.llOXO.llOB Ha 1.07.1998 r. COCTaBHT 11856,25 ThIC. p. lll)'IO

Onpe,zi;eneHHe cpou WiaTelKa a npoQeHTHoii CTa.BKH <l>}'HKIJ;HH 3TOH rpyrrrrhl II03BOJUllOT HaxO,!l;HTb BeJiu:qu:Hbl, pacqeT KOTOpbIX BeChMa 3aTpy.u,HeH, eCJIH BbIIIOJIHHeTCH BpyqHyio: • o6mee qu:cJIO rrepU:O.U,OB IIOCTO.RHHbIX BblIUiaT, He06XO)J,HMbIX )J,JUI .U,OCTHXeHIDI 3a,!l;aHHOrO 6yJJ.YIUero 3HaqeHIDI, H qu:cJIO rrepu:o.U,OB, qe-

169


pe3 KOTOpoe HaqaJibHllil CYMMa 3aHMa (BKJia,ua) ,[(OCTl1rHeT 3a,uaHHOro 3HaqeHIDI -

<l>YHKUIDI KIIEP;

• 3HaqeH11e ITOCTOHHHOH ITpou;eHTHOH CTaBKH 3a 0,[(11H ITep110.z:t. ,[(JUI cep1111 <t>11Kc11poBaHHhIX ITep110.z:t.J1qeCKHX IIJiaTexeii 11 3HaqeH11e ITpou;eHTHOH crnBKH ITO BKJia,uy IDI11 3aHMY -

<l>yu~

KilEP.

<l>YHKUIDI HOPMA.

3Ta <l>YHKUIDI ITpe.z:t.Ha3HaqeHa ,[(JUI Bh1q11cJieHID1

o6mero q11cJia ITepl10,[(0B BhIIIJiaT KaK .z:t.JIH e.z:t.11HOH CYMMhl BKJia,ua (3aHMa), TaK 11 ,[(JIH ITep110.z:t.11qecK11X ITOCTOHHHhIX IIJiaTe)KeH Ha OCHOBe ITOCTOHHHOH ITpou;eHTHOH CTaBKH. ECJil1 IIJiaTe)Kl1 ITPOl13BOMTCH HeCKOJihKO pa3 B ro.z:t., Haii.z:t.eHHOe 3HaqeH11e Heo6X0,[(11MO pa3.z:t.eJil1Th Ha q11cJIO pacqeTHhIX ITep110.z:t.OB B ro;zy, qTo6bI HaHTl1 q11cJIO JieT BhIIIJiaT. C11HTaKc11c KIIEP(HopMa;BhIIIJiarn;H3;6c;T11IT). 3HaqeH11e <l>YHKU1111 KIIEP <l>opM)'Jia

3TO apfYMeHT

n 113 <l>OPMYJihI (12.43).

.z:t.JIH pacqern B Excel o6mero q11cJia ITep110.z:t.oB Haq11cJie-

HID1 ITpou;eHTOB, Heo6xo;::i:11MhIX ,[(JUI Toro, qTo6bI HaqaJihHllil CYMMa pa3MepoM H3 .z:t.OCTl1fJia yi<:a3aHHOfO 6y,1zymero 3HaqeHIDI 6c, 11MeeT BH.z:t. =KIIEP(HOpMa;;H3;6c).

B 3TOM cnyqae n Bhl'll1CJIHeTCH ITO <l>OPMY-

Jie ( 12.45).

,[(ml

pacqeTa o6mero q11cJia ITep11o;::i:oB, qepe3 KOTopoe COBOKYII-

Hhie <t>11Kc11poBaHHhie ITep110,[(J1qeCKHe BhIIIJiaThl COCTaBHT yi<:a3aHHOe 3HaqeH11e 6c, apfYMeHT

n

Bhl'll1CJIHeTCH ITO <l>OPMYJie

(12.46),

eCJil1

3Tl1 IIJiaTe)Kl1 ITPOl13BOMTCH B Haqane Ka:>K:;::i:Oro pacqeTHOfO ITep11o;::i:a, 11Jil1 ITO <t>opM)'Jie

(12.47),

eCJil1 IIJiaTe)Kl1 ITp0113BO;::vITCH B KOHU:e Ka:>K:;::i:O-

ro pacqeTHoro ITep11o;::i:a. CooTBeTCTBeHHo <l>OPMYJihI .z:t.JIH pacqern B Excel 6y.r:i:yT 11MeTh BH.z:t.: KIIEP(HopMa;BhIIIJiarn;;6c; 1)

- .z:t.JIH

BhIIIJiaT B Ha-

qane pacqeTHoro ITep110.r:i:a 11 KIIEP(HopMa;BhIIIJiarn;;6c) -

MH BhIII-

JiaT B KOHU:e pacqeTHoro ITep11o;::i:a. Ilp11 ITOrarneHl111 3aHMa pa3MepoM H3 paBHOMepHhIMl1 ITOCTOHHHhIMl1 IIJiaTe:>K:aMl1 B KOHU:e Ka:>K:;::i:OfO pacqeTHOfO ITep11o;::i:a .z:t.JIH pacqeTa q11cJia ITep11o;::i:oB, qepe3 KOTopoe ITpo1130M:;::i:eT ITOJIHOe ITorarneH11e, 11CITOJih3yeTCH <t>opM)'Jia KIIEP( HOpMa;BhIIIJiarn;H3). IlonyqeHHoe B pe3yJihTaTe TaKoro pacqeTa 3HaqeH11e MO)KHO TaK)Ke 11CITOJih30BaTh KaK ITOKa3aTeJih

cp01ca 01cynaeMOCmu ITPl1 aHaJil13e

11HBe-

CT11U110HHOf0 ITpOeKTa. Ilp11 3TOM ITpe.z:t.ITOJiaraeTCH, qTO ITOCTYIIJieH11e .z:t.OXO.z:t.OB ITp011CXO.z:t.11T ITep11o;::i:J1qeCK11 paBHhIMl1 CYMMaMl1 B KOHU:e IDil1 Haqane Ka:>K:;::i:oro pacqeTHoro ITep11o;::i:a. 3rn 3HaqeH11e 6y;::i:eT ITpe;::i:crnBJIHTh co6oii q11cJio pacqeTHhIX ITep11o;::i:oB, qepe3 KOTopoe CYMMa ;::i:oxo.z:t.OB, .z:t.11CKOHTl1pOBaHHhIX Ha MOMeHT 3aBeprneHIDI 11HBeCT11U11H, 6y;::i:eT paBHa BeJIJ1ql1He 11HBeCT11U11H.

Ja;Ja11a.

Pacc 1unaTb, qepe3 CKOJibKO 11eT BKJia,n. pa3MepoM

THrHeT BeJiffqHHbI

16,79 % H

1 MJip,!1;

12.3

(12.45)

Ha~eM apryMeHT

n. B COOTBeTCTBHH

c

IIPH KBapTaJibHOM HaqncJieHHH npoueHTOB npoueHTHfil! CTaBKa 3a

pacqeTHbIH nepHO,!I; paBHa

170

p. ,!J;OC-

HaqncJieHHe npoueHTOB IIPOH3BO,!l;HTCH e)KeKBapTaJibHO.

p e llI e H He. Ilo <l>OPMYJie Ta611.

1 MJIH

p., eCJIH fO,!l;OBfil! npoueHTHa.H CTaBKa TIO BKJill,Ll.Y

16,79 %/4.


Hcnonb3YH apryMeHTbI <l>YHKUHH KilEP HOpMa= 16,79 %/4, H3=-1, 6c =

I 000, ttaH,n:eM qHcno KBaprnnoB HaKonneHHit KilEP(16,79%/4;;-1;1000)=168, T. e. qHCJIO neT COCTaBHT 168/4 = 42.

3ai>a'la • .ri;m1 o6ecneqeHHj{ 6y;:i:yrn:Hx pacxo;:i:oB co3;:i:aH <l>ott;:i:, cpe;:i:crna ll KOTOpblH nOCTYUaIOT B BH)J;e nOCTOHHHOH ro;:i:oBOH peHTbl noCTttyMepaH)J;O. Pa3Mep pa3oBoro nnaTe:>Ka 16 MnH p. Ha noCTYUHBIIIHe B3HOCbI ttaqHCJij{eTcH 11, 18 % ro;:i:OBbIX. Heo6xo;:i:HMO onpe;:i:enHTb, Kor;:i:a HaKonneHHH <t>oH)J;a cocTaBHT 100 MnH p. Pe III e H He. HaH,n:eM n H3 <l>OPMYJibI (12.47). B Excel <t>opMYna )J;nj{ pacqern HMeeT BH)J; KilEP(l 1,18%;-16;;100) = 5, T.e. qepe3 Ilj{Tb neT COBOKYUHaH CYMMa BbinnaT COCTaBHT 100 MnH p.

3ai>a'la. 0)!(H)J;aeTcj{, qTo e:>Kero;:i:Hbie ;:i:oxo;:i:bI OT peanH3aI.J,HH npoeKTa cocTaBj{T 33 MnH p. Heo6xo;:i:HMO paccqHTaTb cpoK OKYUaeMOCTH npoeKTa, ecnH HHBeCTHI.J,HH K Haqany nOCTYDneHHH ,lJ;OXO,lJ;OB COCTaBj{T 100 MnH p., a HOpMa )J;HCKOHTHpOBaHHH 12,11 %. p e III e H He. qT06bI onpe;:i:enHTb, qepe3 CKOJibKO neT TeKYIIIaH CTOHMOCTb O:>KH,lJ;aeMbIX )J;OXO)J;OB 6y;:i:eT paBHa pa3Mepy HHBeCTHI.J,HH, HCnOJib3yeM cneJl:ylOIIIHe apryMeHTbI <l>YHKUHH KilEP: H3 = -100 (3HaqeHHe 3aTpaT), BblIInaTa = 33 (e:>KefO,lJ;Hbie nocrynneHHH), HOpMa = 12, 11 % (HOpMa )J;HCKOHTHpoBaHHj{). Tor;:i:a KilEP(12,11%;33;-100)=4, T. e. cpoK OKYUaeMOCTH npoeKTa COCTaBHT qeTbipe ro;:i:a.

3ai>a'la. Ccy;:i:a pa3MepoM 66 000 TbIC. p., Bbl.ll:aHHaH no;:i: 36 % ro;:i:oBbIX, noraIIIaeTcH o6bNHbIMH e:>KeMecHqHbIMH nnaTe:>KaMH no 6630 TbIC. p. PaccqHTaTb cpoK noraIIIeHHH ccy;:i:b1. Pe III e H He. Onpe;:i:enHM no rn6n. 12.3 npou,eHTHyIO CTaBKY 3a MeCj{I.J,: 36 %/12 (apryMeHT HOpMa). IlpH HcnOJib30BaHHH <l>YHKUHH KilEP e:>KeMecj{qHbie BbinnaTbl 3anHCb1BaIOT KaK OTpHI.J,aTeJibHble qffcJia (apryMeHT BblnnaTa = -6630), a CYMMY nonyqettttoro 3aHMa - KaK noJIO)!(HTeJibHOe qffcno (H3 = 66 000). TaK KaK 3aeM noJIHOCTbIO noraIIIaeTCH, ero 6y;:i:yrn:aH CTOHMOCTb paBHa 0, T. e. apryMeHT 6c MO)!(HO orryCTHTb. Tor;:i:a cpoK, 3a KOTOpbIH npoH3oH.n:eT nonttoe noraIIIeHHe 3aHMa, MO)!(HO 3anHCaTb B cne;:i:yIOrn:eM BH,lJ;e: KilEP(36%/12;-6630;66 000) = 12 Mee. = l r.

Cl>yu~ HOPMA. 3Ta <l>YHKIJ;IDI orrpe.D,eJUieT JHaqemre rrpoueHTHo:H CTaBKH 3a O,LJ,HH pacqeTHbIH rrepHO,LJ,. ~ HaxmK,LJ,eHID.! ro,LJ,OBOH rrpoueHTHOH CTaBKH rro.rryqeHHOe 3HaqeHHe CJie;zyeT )'MHO)l(HTb Ha qJiCJIO pacqeTHbIX rrepHO,LJ,OB 3a ro,LJ,. CHHTaKCHC HOPMA(KIIep;BhIIIJiaTa;HJ;6c;THrr;rrpe.D,rroJioxeHHe). 3HaqeHHe <l>YHKUHH HOPMA - 3TO apfYMeHT r H3 <t>opMyJihI

(12.43). <l>yttKIJ;IDI HOPMA HaxO,LJ,HTCH MeTO.D.OM rrocJie,LJ,oBaTeJihHoro rrpH6JIH)KeHID.! H MOXeT He HMeTb perneHID.! HJIH HMeTb HeCKOJibKO perneHHH. EcJIH rrocne 20 HTepauH:H rrorpernHOCTb orrpe.D,eJieHID.! CTaBKH

171


npeBhilllaeT 0,0000001, TO ct>YHKUIDI HOPMA B03BpamaeT 3HaqeHHe OllIH6KH #ql.fCJIO!. B 3TOM c.rryqae MO)l{HO nonhITaThCH 3a,!l;aTh ,n;pyroU: apryMeHT-npe,n;nonoxeHHe, no YMOJiqaHHIO paBHhIH 10 % (B 6oJihllIHHCTBe c.rryqaeB ero He Tpe6yeTCH 3a,n;aBaTh). PaccMOTpHM BapHaHThI npaKTffqeCKoro npHMeHeHIDI 3TOH <l>YHKUHH. ,LJ;orrycTHM, Heo6xo.n;HMO pacc•rnTaTh npoueHTH)'IO CTaBKY no cpopMYJie (12.45) npH H3BeCTHOH TeKYIUeH CTOHMOCTH H3, 6y,n;ymeU: CTOHMOCTH 6c, qffcJie nepHO,D;OB KI1ep. 3Ta cpOPMYJia B Excel 6y,n;eT HMeTb BH,D, HOPMA(Krrep;;HJ;6c;;npe,n;nonoxeHHe). IlpH pacqernx cpHKCHpOBaHHhIX 06H3aTeJihHhIX H o6bl'IHhIX nepHO,ll;ffqeCKHX IIJiaTexeU: no cpopMYJiaM (12.46) H (12.47) npou;eHTHYIO CTaBKY Ja pacqeTHhIH nepHo,n; B Excel MO)l{HO JanHCaTh B BH,D,e HOPMA(Krrep, BhIIIJiaTa,, 6c, THn, npe,n;nonoxeHHe). <l>OPMYJia ,D;JIH pacqeTa npou;eHTHOH CTaBKH no 3aHMY pa3MepoM H3 npH paBHOMepHOM norallleHHH 06hl'IHhIMH nepHO,D;ffqeCKHMH IIJiaTe)l{aMH H ycJIOBHH, qTo 3aeM nOJIHOCThlO noralllaeTCH, 6y,n;eT HMeTb BH,ll, HOPMA(Krrep;BhIIIJiaTa;HJ;;;npe,n;nonoxeHHe).

x

3aiJarca. Ilpe.nnOJIO:lKHM, qTQ KOMnaHHH noTpe6yeTCH 100 000 TbIC. p. qepe3 ,n;Ba ro.na. KoMnaHHH roToBa BJIO:lKHTh 5000 TbIC. p. cpa3y, a 3aTeM BKJia.!l;blBaTb no 2500 TbIC. p. KIDK.!l;blH MecHu;. KaKHM .noJDKeH 6hITb npou;eHT Ha HHBeCTHPOBaHHbie cpe.ncTBa, qTo6bI nonyqHTb Heo6XO.!l;HM)'IO CYMMY B KOHU:e BToporo ro.na? Pe III e H He. TaK KaK CYMMa 100 000 TbIC. p. (aprYMeHT 6c IPYHKUHH HOP-

MA) ¢iopMHpyeTcH 3a cqeT npHBe,n;eHIDI K 6y.nymeMY MOMeHTY HaqaJibHOro BKJia,!l;a B 5000 TbIC. p. H ¢IHKCHpOBaHHbIX e)l{eMeCj{qHbIX BbIIlJiaT, Heo6XO.!l;HMO YKa3aTb o6a aprYMeHTa ¢iYHKUHH HOPMA: BbIIlJiaTa = -2500, H3 = -5000. 06rn;ee qHCJIO nepHO.!l;OB HaqHcJieHHH npou:eHTOB onpe.neJIHM no Ta6JI. 12.3: KIIEP = 2 · 12, no.ncTaBHB KOTopoe B pacqeTHYJO ¢IOPMYJIY nonyqHM: HOPMA(24;-2500;-5000; 100 000) = 3,28 %. Tor.na ro.noBaH npou;eHTHaH cTaBKa cocTaBHT 3,28 · 12 = 39,36 %, T. e. npou;eHT Ha BJIO)l(eHHble cpe,n;cTBa .!l;OJDKeH 6bITb He MeHbIIIe 3TOfO 3HaqeHIUI.

x

3aiJarca. Ilpe.nnoJIO:lKHM, qTo KOMnaHIDI OTKa3aJiaCb OT e)l{eMeCj{qHhJX BblilJiaT (CM. npe.nbl.!l;}'IUYIO 3a,!l;aqy) H roTOBa cero.nHH noJIO)l(HTb Ha .nen03HT 40 000 TblC. p. Onpe,n;eJIHTb, KaK B 3TOM CJiyqae H3MeHHTCH MHHHMaJibHaH ro.!l;OBaH npou;eHTHaH CTaBKa. Pe III e H He. CrnBKa (aprYMeHT r) onpe.neJIHeTCH H3 ¢iopMYJibI (12.43). CYMMa 100 000 TbIC. p. ¢iopMHpyeTCH TOJibKO 3a cqeT npHBe,n;eHIDI K 6y.nymeMY MOMeHTY HaqaJibHOfO BKJia,!l;a: 12 * HOPMA(24;;-40000;100 000) = 46, 7 %, T. e. B 3TOM cnyqae MHHHMaJibHaH ro.!l;OBaH npou;eHTHaH CTaBKa, npH KOTOpo:H .!l;OCTHraeTCH 3a,!l;aHHOe 6y.nymee 3HaqeHHe, B03pacTaeT .no 46,7 %.

3aiJarca. PaccqHTaTb npou;eHTHYIO cTaBKY MH qeTblpexneTHero 3ai1Ma B 7000 TbIC. p. c e)l{eMeCj{qHblM noraIIIeHHeM no 250 ThlC. p. npH yCJIOBHH, ~o 3aeM noJIHOCTbIO noraIIIaeTCH.

172


Pe III e H He. 6y,eymee 3HaqettHe exeMeCSl'!HhIX BblIIJiaT no 250 ThIC. p. ,n;oJIlKHO cocTaBHTb qepe3 qeTblpe ro.n;a CYMMY 3aH:Ma c npou,eHTaMH, T. e. 3aeM JlOJI)l{eH 6b1Tb nOJIHOCTblO noraIIIeH. TeicyI.I.J,ruI CTOHMOCTb 3aH:Ma no ycJI081110 paBHa 7000 ThIC. p. (apryMeHT H3 = 7000). IIo 3aHMy HaqffCJUleTCH npou,em B TeqeHHe 4. 12 nepHO,ZJ;OB. IlpH 3THX ycJIOBIDIX exeMeCj{qffaH npou,eHTHaH CTaBKa onpe,n;eJIHeTCH no cJie.n;yJOmeH: <t>oPMYJie: HOPMA(48;-250;7000) = 2,46. Tor.n;a ro.n;oBaH npou,eHTHruI CTaBKa cocTaBHT 2,46 路 12 = 29,5 %. ~ 3<1><1>EKT H HOMl1HAJI rrpe,llHa:JHaqeHbI cooTBeTCTBeHHO )l.1IH pacqeTa 3<l><l>eKTHBHOH H HOMHHaJibHOH npou;eHTHbIX CTaBOK. OpH BhirrycKe u;eHHhIX 6)'Mar, 3a1uuoqeHHH <l>HHaHCOBhIX KOffTPaKTOB, 3aHMax Ha )lOJirOBOM comarneHHH yxa3bIBaIOTCH ro)lOBaH HOMHHaJibHaH npou;eHTHaH CTaBKa H nepHO)l Haql{CJieHHH (ro,ll, no.rryro,LJ,He, KBapTaJI). HaqHcJieHHe no HOMHHaJihHOH CTaBKe npOH3BOJlHTCH no <t>opM}'Jie CJIOlKHbIX npou;eHTOB. fO)lOBaH CTaBKa, o6ecneqHBaIOIU:aH TOT xe )lOXO)l, qTO H HOMHHaJibHaH CTaBKa nocne HaqHcJieHHH CJIO)l(HbIX npoI.J,eHTOB, HBJIHeTCH 3<l><l>eKTHBHOH npou;eHTHOH CTaBKOH. HoMHHaJihHaH H 3<l><l>eKTHBHaH npou;eHTHbie CTaBKH 3KBHBaJieHTHbI no <l>HHaHCOBOMY pe3yJibTaTY H pacqHTbIBaIOTCH no <t>opM}'Jie

~

3<1><1>EKT.

(12.22).

3Ta <l>YHKUHH npe,llHa:JHaqeHa )lJIH BbNHCJie-

HHH ,LJ,eHCTByIOIUHX (3<l><l>eKTHBHbIX) exero)lHbIX npou;eHTHbIX CTaBOK, eCJIH 33,ll;aHbI HOMHHaJibHaH ro)lOBaH npou;eHTHaH CTaBKa H q}ICJIO pacqeTHbIX nepHOJlOB 3a ro)l. CHHTaKcHc 3<1><1>EKT(HOMHHaJihHaH_CTaBKa,Kon_nep).

3aiJa'la. 3aeM B 1000 TblC. p. B3HT no.n; HOMHHaJibttyIO npou,eHTttyIO CTaBKY 12 % Ha TpH ro.na. Beeb 3aeM H ttaqHcJieHHble Ha Hero npou,eHTbI .ll;OJl)l{Hbl 6b1Tb BblIIJiaqeHbl e.n;HHOH CYMMOH B KOHI.J,e cpoKa 3a:H:Ma. K.aKaH CYMMa 6y,neT BbIIIJiaqeHa npH HaqHcJieHHH npou,emoB: a) nonyro.n;oBoM; 6) exeKBapTaJibHoM; B) MeCSl'lHOM; r) exe,nHeBHOM.

Pe III e H He. 3a,n;aqy MO)l{HO peIIIHTb HeCKOJibKHMH cnoco6aMH. B Excel CyI.I.J,eCTByeT <l>YHKI.J.HH 63, no3BOJIHIOI.I.J,aH BblnOJIHHTb pacqeT B COOTBeTCTBHH C ,naHHbIMH Ta6JI. 12.3 H <l>OPMYJIOH (12.45): a) 63(12%/2;2*3;;-1000)= 1418,52 ThIC. p.; 6) 63(12%/4;4*3;;-1000)=1425,76 TblC. p.; B) 63(12 %/12;12 * 3;;-1000) = 1430,77 TbIC. p.; r) 63(12 %/365;365 * 3;;- 1000) = 1433,24 TblC. p. TaKXe MO)l{HO paccqHTaTb 6y.nyI.I.J,yIO CTOHMOCTb 3aH:Ma, HCnOJib3yH 3<l><t>eKTHBHYIO npoueuTttyIO cTaBicy. BbJqHCJIHM 3<l><l>eKTHBHble cTaBKH B Sl'leH:KaX Al :A4. a) Al= 3<I><I>EKT(l2 %,2) = 0,1236 TbIC. p.; 6) A2 = 3<I><I>EKT(l2 %,4) = 0,1255 Thie. p.; B) A3 = 3<I><I>EKT(l2 %,12) = 0,1268 TbIC. p.; r) A4 = 3<I><I>EKT(l2 %,365) = 0,1275 TblC. p.

173


B wieifKY Bl BBe.n;eM <l>OPMYJIY .nmi: Bhrqwcnemrn 6yJJYI.UeH CTOHMOCTH 3aifMa: Bl = E3(Al;3;;-1000) H cKorrnpyeM ee B wieifKH B2: B4. Pe3yJihTaThI pacqeTa qeThrpex BapwaHTOB 6y.n;yT naxo.n;HThCSI B wieifKax B 1 : B4: 3TO cooTBeTCTBettno 1418,52, 1425,76, 1430,77, 1433,24 ThIC. p. <I>~ HOMHHAJI. 3Ta <l>YHKll;JUI ITpe,ri;Ha3HaqeHa MH Bhl'UfCJieHIDI HOMHHaJihHOH fO.IJ;OBOH ITPOUeHTHOH CTaBKH ITPH H3BeCTHhIX 3$$eKTHBHOH CTaBKe H qffcJie pacqeTHhIX ITepHO.IJ;OB 3a ro,ri;. CHHTaKcHc HOMHHAJI(3$$eKT_CTaBKa,KOJI_ITep). 3HaqeHHe <l>YHKUHH HOMHHAJI 3TO apryMeHT <t>opMyJihI

(12.22).

3aiJa'la. 3<t><l>eKTHBHa.SI CTaBKa COCTaBJisreT 28 %; naqwcJieHHe rrpoI.J,eHTOB rrpoH3BO)];HTCSI e)l(eMecwino. PaccqHTaTh HOMHHaJihH)'lO CTaBK)'. p e III e H H e. HOMHHaJihH)'lO ro.n;oByio rrpoI.J,eHTHYIO CTaBK)' orrpe.n;eJIHM ITO cne.n;yioII.J,eif <l>opM}'Jie: HOMI1.HAJ1(28 %,12) = 0,2494 HJIH 24.94 %.

Pac'leT

nepao~ecKHX

DJiaTeJKeii

Cl>yttKUHH Excel IT03BOJIHIOT BhJqHcJIHTh cJie.IJ;yIO:rn;He ITapaMeTphI, CBH3aHHbie c ITepHO,IJ;HqecKHMH BhIIIJiaTaMH: • ITepHo,ri;wqecKHe IIJiaTe)KM, ocy:rn;ecTBJIHeMhre Ha ocHoee ITOCTOHHHOH ITpoueHTHOH CTaBKH H He MeHHIO:rn;HeCH 3a BCe epeMH pacqeTa <l>YHKUIDI IIIIJIAT; • IIJiaTe)KM ITO ITpoueHTaM 3a KOHKpeTHhIH ITepHO.IJ; - <l>YHKUIDI IlJIIlPOIJ,; • CYMMY IIJiaTexeif ITO ITpoueHTaM 3a HeCKOJihKO ITepuo,ri;oe ITO.IJ;psr,ri; - <l>YHKUIDI OE.W:IlJIAT; • OCHOBHbie IIJiaTe)KM ITO 3aHMY (3a BbNeTOM ITpoueHTOB) 3a KOHKpeTHhIH ITepuo,ri; - <l>YHKUIDI OCHIIJIAT; • CYMMY OCHOBHhIX IIJiaTexeif 3a HeCKOJihKO nepuo,ri;oe no,ri;pH.IJ; <l>YHKUIDI 0 EI.11)1,0XO,U. Bee 3TU IIJiaTe)KM BhNHCJIHIDTCH, HanpHMep npu pacqeTe cxeMhI paBHOMepHoro norarneHIDI 3aifMa. ,UonycTHM, qTo 3aeM norarnaeTCH O.IJ;HHaKOBhlMH IIJiaTexaMH B KOHUe Ka)l(.IJ;OfO pacqeTHOfO nepuo,ri;a. Ey,ri;y:rn;asr CTOUMOCTh 3THX IIJiaTexeif 6y,ri;eT paeHa CYMMe 3aHMa c HaqucJieHHhlMH npoueHTaMH K KOHuY nocJie,IJ;Hero pacqeTHOfO nepHO,ri;a, ecJiu npe,ri;noJiaraeTCH ITOJIHoe ero norarneHue. ,ri;pyroH CTOpOHhl, TeKy:rn;aH CTOUMOCTh BhIIIJiaT no 3aHMY ,IJ;OJI)l(Ha paBHHThCH HacTosr:rn;eif ero CYMMe. EcJiu U3BeCTHhI CYMMa 3aifMa, npoueHTHaH CTaBKa H cpoK, Ha KOTOphIH BhI,IJ;aH 3aeM, MO)l(HO paccquTaTb CYMMY ITOCTOHHHhIX nepuo,ri;wqecKHX IIJiaTexeif, He06XO.IJ;UMhIX .IJ;JIH paBHOMepHoro norarneHIDI 3aifMa, c noMo:rn;hID <l>YHKUHH IIIIJIAT. BhlqucJieHHhre IIJiaTe)KM BKJ110qa10T B ce6sr CYMMY npoueHTOB no HenorarneHHOH qacTU 3aHMa H OCHOBHYJO BhIIIJiaTY no 3aHMY. 3TU Be-

c

174


Ta6nuua 12.4 CxeMa norameHHJ1 3aiiMa fo.11 i. Cymta Jatl:Ma Ha HaqaJio n orarneIUrn Jatl:Ma ro.11a, p.

06masi: CyMMa IIJiaTe)l(ll,

IlJiaTe)[(H ITO ITpoueHraM,

p.

p.

Cymta OCHOBHOfO IIJiaTe)l(ll ITO JaHMy, p.

CymiaJatl:Ma Ha KOHeu ro.11a, p.

1

70000,00

31680,16

11 900,00

19 780,16

50219,84

2

50219,84

31680,16

8537,57

23 142,78

27077,06

3

27077,06

31680,16

4603,10

27077,06

0

Hroro

95 040,47

25 040,47

70000,00

0

JIWHfHbl 3aBHCHT OT HOMepa pacqeTHOro nepHO.D;a H paccqJ.fTbIBaIOTCH c noMom;blo <l>YIIKUHH TIJITIPOU H OCHTIJIAT. HaKoIUieHHhie 3a HeCKOJibKO nepHO.D;OB IUiaTexrn: BbNHCJIHIOT c IlOMOIIJ;blO <l>YIIKUHH OBll.J,TIJIAT H OBII.J,UOXO)l ,Il;JIH npHMepa B Ta6JI. 12.4 npwBe.D;eHa cxeMa norarneHHH 3aH:Ma B 70 000 p., BbI.D;aHHOro cpOKOM Ha TpH ro.D;a TIO.D; 17 % ro,D;OBbIX, paccqJ.fTaHHaH c noMOIIJ;hIO <l>HHaHCOBhIX <l>YIIKUHH Excel (pacqeTbI no.S1cH.S1IOTCH .D;aJiee npH onwcaHHH <l>YIIKUHH). ~ 11IIJIAT. 3Ta <l>YIIKUH.SI npe,D;Ha3HaqeHa .D;JIH BbNHCJieHH.SI pa3Mepa BbIIIJiaTbl 3a O.D;HH pacqeTHblH nepHO.D; Ha OCHOBe <l>HKCHpoBaHHbIX nepHO.IJ;J.iqeCKHX IIJiaTe)l(eH H nocTOHHHOH npou;eHTHOH CTaBKll. BhlIIJiaTbI, paccqHTaHHbie c noMOIIJ;hIO <l>YIIKUHH IIIIJIAT, BKJIIOqa10T B ce6.S1 ocHOBHbie IUiaTexrn: H IUiaTe)l(J.f no npou;eHTaM. 3ttaqeHHe <l>YIIKUHH TIIIJIAT - 3TO apryMeHT pmt H3 <t>opM)'JihI (12.43). CHHTaKcwc IITIJIAT(ttopMa;KTiep;tt3;6c;THn). <l>yHKUH.SI 11IIJIAT npHMeH.SleTCH, eCJIH H3BeCTHa 6y,IzyIIJ,aH CTOHMOCTb <l>HKCHPOBaHHbIX nepHO.D;J.fqecKHX BbITIJiaT, npOH3BO.D;HMbIX B Haqane HJIH KOHUe Ka)l(,D;OfO pacqeTHOro nepHO.D;a H Tpe6yeTCH paccqHTaTb pa3Mep 3THX BbIIIJiaT. I-fa <t>opM)'JI (12.46) H (12.47) HaxO.D;HM apryMeHT pmt. CoorneTCTBeHHO 3anHch B Excel 6y.D;eT HMeTb cne.D;yIOm;HH: BH,D;: =IlIIJIAT(HOpMa;KTiep;;6c;THn). <l>yHKUH.SI 11IIJIAT npHMeH.SleTCH TaK)l(e npH pacqeTe paBHbIX nePHO.IJ;J.iqeCKHX IIJiaTe)l(eH no 3aHM)' pa3MepoM H3, He06XO.D;HMblX .D;JIH nonttoro norarneHH.SI 3Toro 3aH:Ma qepe3 Knep qJ.icJio nepHO.D;OB. TaK KaK TeKYIIJ;aH CTOHMOCTb 3THX BbIIUiaT .ll;OJl)l(Ha paBH.SITbC.SI TeKYIIJ;eH CYMMe 3aH:Ma, apryMeHT pmtonpe.D;eJIHIOT H3 <t>opM)'JI (12.50) H (12.51), T.e. qepe3 TeKYm:YIO CYMMY 3aH:Ma, cTaBKY npou;eHTa H qwcno nepHo.D;OB. CooTBeTCTByIOm;HH: pacqeT B Excel BbIIIOJIH.S1eTc.S1 no <t>opM)'ne: =TITIJIAT(HOpMa;KIIep;H3;;THn). 06bNHO norarneHHe 3aH:Ma npOHCXO.D;HT B KOHI.J;e Ka)l(.IJ;Oro pacqeTHOro nepHo.D;a. B 3TOM cnyqae pacqeTHaH <t>opM)'Jia 6y.D;eT HMeTb BM =TITIJIAT(HOpMa, KTiep, H3), TaK KaK apryMeHT THn = 0.

175


Ecirn JaeM norarnaeTcH He noJIHOCTbIO, T. e. ero 6yJlYlllee 3Ha11eHHe He paBHO ttyJIIO, Heo6X0)1,HMO yx:aJaTh apryMeHT 6c, KOTOpblH paBeH HenorarneHHOMY ocTaTKY Jaii:Ma nocne acex BblITJiaT.

3aiJa11a. Tpe6yeTCH HaKonHTh 4000 Thie. p. Ja TpH ro.na, OTKJIMbIBM noCTOHHHYJO CYMMY B KOHUe K!UK,D;Oro MeCHUa. KaKOH JJ:OJDKHa 6b1Tb 3Ta CYMMa, eCJIH npoueHTHM CTaBKa no BKJia)J;y COCTaBJIHeT 12 % ro.noBblX. Pe III e H He. Onpe.neJIHM o6mee qHcJio nepHo.noB ttaqHcJieHHH npouettTOB H npoueHTH)'IO CTaBKY Ja pacqeTHhIH nepHOJJ: no Ta6JI. 12.3. 3TH BeJIHqlfHhl cocTaBHT cooTBeTcTBeHHO 3 路 12 (apryMeHT <l>YHKUHH KTIEP) H 12 %/12 (apryMeHT <l>YHKUHH HOPMA). ApryMeHT rnn = 0, TaK KaK no ycnoBHIO 3TO BKJiaJJ:hl nocTffYMepaHJJ:o. Tor.na BeJIIfqHHa e.JKeMecHqHbIX BhIITJiaT B Excel 6y.neT HMeTb CJie.a:yIOIUHA BHJJ:: IIIIJIAT(12 %/12;12 * 3;;4000) =-92,86 ThIC. p.

3aiJa11a. EaHK Bhl.D:aJI ccy.a:y 200 MJIH p. Ha qeTh1pe ro.na no.n 18 % ro.noBhIX. Ccy.na BbI.D:aHa B Haqane ro.na, a noraIIIeHHe HaqHHaeTCH B KOHUe ro.na o.nHHaKOBbIMH ITJiaTe.JKaMH. Onpe.neJIHTh paJMep ccy.nhl, noraIIIaeMoH: e.JKero.ntto. Pe III e H H e. E.JKero.nHhie ITJiaTe.JKH onpe.neJIHM no cJie.a:yIOmeA <l>OPMYJie: IIIIJIAT(l8%;4;-200) = 74,35 MJIH p. 06paTHTe BHHMaHHe, qTo .D:JIH 6aHKa BbI.naHHM ccy.na - 3TO OTpHUaTeJibHM BeJIHqHHa, a BhlqlfcJieHHble e.JKero.nHhle nOCTYITJieHHH - noJIO.lKHTeJibHM.

3aiJa11a. PaccqHTaTb o6myIO CYMMY ITJiaTe.JKeH: B Ta6JI. 12.4. Pe III e H He. 06myIO CYMMY ITJiaTe.JKa ttaA.neM no cJie.a:yIOmeH: <t>oPMYJie: IIIIJIAT(l7%;3;- 70 000) = 31680,16 ThIC. p. Cl>ye~ UJIIIPOIJ:. C nOMOW:blO 3TOH cpyttKUHH Bhl'IHCJIHIOT ITJiaTe)KH no npoueHTaM Ja 3a.z:i;aHHhlH pac11eTHhlH nepHo.n Ha ocHoae nepHO)],H'leCKHX noCTOHHHblX BbIITJiaT H noCTOHHHOH npoueHTHOH CTaBKH. CHHTaKCHC TIJITIPOU:(HopMa;nepHo.n;KITep;Tc;6c;THn). IlpH paBHOMepHOM norarneHHH 3aHMa noCTOHHHaH nepHO)],H'leCKaH BbIITJiaTa BKJI1011aeT a ce6H ITJiaTe)KH no npoueHTaM no HenorarneHHOH 11acTH JaHMa H BblITJiazy 3a.z:i;oJDKeHHOCTH. TaK KaK HenorarneHHaH 11acTb Ja:HMa YMeHbrnaeTcH no Mepe ero norarneHHH, YMeHbrnaeTCH H )1.0JIH ITJiaTexe:H no npoueHTaM a o6me:H CYMMe BblilJiaT, a )1.0JIH BblilJiaThl Ja.z:i;oJDKeHHocTH yaeJIH'IHBaeTCH . .[l.mI onpe.neneHHH pa3Mepa ITJiarexa no npoueHTaM Ha KOHKpeTHhlH nepHo.n, ecJIH norarneHHe 3a:HMa npOH3B0)1,HTCH paBHblMH ITJiaTe:>KaMH B KOHUe Ka:>K)l;OfO pac11eTHoro nepHO)].a, HCnOJib3yIOT cl>OPMYJIY =IIJITIPOU:(HOpMa;nePHO)].;KITep ;Tc). Bhl'IHCJieHHe .noxo.na, KOTOphlH npHHOCHT nocTOHHHhle nepH0)1.H11ecKHe BblITJiaTbI 3a KOHKPeTHbIH nepHO)], H KOTOpbIH npe)].CTaBJIHeT co6o:H CYMMY npoueHTOB, Ha'IHCJieHHblX Ha HaKoITJieHHhle ( c npoueHTaMH) K )1,aHHOMY MOMeHzy COBOKYfiHble BJIO:>KeHHH npOH3B0)1.HTCH no cl>OPMYJie IlJIIIPOU:(HOpMa, nepHO)]., KITep,, 6c, THn).

176


3aiJa11~. Bhl'IHCJIHTb JIJiaTe)IGI no npou;eHTaM 3a nepBhlii MCCHU: OT 'l'pexro.LUfllHOro 3\lHMa B 800 ThIC. p. H3 paC'ICTa 10 % ro.n;OBhIX. Pe w e '~ H e. Onpe,neJIHM 'IHCJIO nepHo,noB H CTaBicy 3a nepHo,n no cne.ny10meu <t>o~ne: HOpMa = 10 %/12, KIIep = 12 路 3. 3aTeM HaH.neM JIJiaTex 3a nepBhIH nelJHO.IJ;: IlJIIlPqIJ;(10%/12;1;12 * 3;800) =-6,667 ThIC. p.

3aiJa11a. 3a C'ICT exerO.D;HblX OT'IHCJICHHii B TC'ICHHC UICCTH JICT 6hIJI c<t>opMHPOBaH <t>ou.n B 5000 ThIC. p. Onpe,neJIHTb, KaKoii: .noxo.n npHHeCJIH BJioxeHHH BJia.IJ;CJihJJY 3a nOCJIC.IJ;HHii ro.n, CCJIH ro.n;OBaH npou;eHTHaH CTaBKa COCTaBJIHJia 17 ,5 %. Pew e H He. )l;oxo.n 3a nocne.n;HHii ro.n (wecToii: nepuo.n) cocTaBHT: IlJIIlPOQ(l 7,5%;6;6; ;5000) = 664,81 ThIC. p. Exero.n;Ho OT'IHCJIHJIOcb: IlilJIAT(l 7,5%;6;;5000) =-536,27 Thie. p.

3aiJa11a. Pacc'IHTaTb JIJiaTe)IGI no npou:eHTaM B Ta6JI. 12.4. Pew e H He. IlJiare)IGI no npou;eHTaM 3a nepBhIB ro.n: 70 000路0,17 = 11 900 p. I-fa cyMMhl 3aHMa Ha Ha'laJIO ro.na Bhl'ITCM 06my10 CYMMY JIJiaTexa H noJiyqHM cyMMY 3aHMa Ha KOHCU: nepaoro H Ha'laJIO BTOporo ro.noB: 70 000 - 31680,16 = 50 219,84 p. Ha nonyqeHHYIO CYMMY Ha'IHCJIHeM 17 % 3a BTopoii: ro.n: 50 219,84 路 0,17 = = 8537,57p. AHanorH'IHO HaH.n;eM cyMMY npou;eHTOB 3a 'fPCTHii ro.n: 27 077 ,06路0,17 = = 4603,1 p. B Excel .naHHhIH pactieT 6y.neT HMeTb cne.ny10mHii: BH.IJ;: IIJIIlPOU:(17%; 1;3;-70 000) = 11 900 p.; IIJIIlPOU:(l 7%;2;3;-70 000) = 8537 ,37 p.; IIJIIlPOU:(17%;3;3;-70 000) = 4603,10 p.

<D)'llKQllR 06IlJ;JIJIAT. C noMOIUbIO 3TOli: <l>YHKUHH Bbl'IHCJUIIOT HaKoIUieHHblH .uoxo.u (CYMMY IUiaTexeH: no npouemaM) no 3aHMY, KOTOpbIH noramaeTCH paBHblMH qacTHMH B KOHUe HJIH Haqa.rre Kax,llOro pacqeTttoro nepHo.n;a, Me)l{)ly ABYMH nep1m,n;aMH BhlIUiaT. CHHTaKcHc OBIIIJIJIAT(cTaBKa;KoJI_nep;tt3;ttaq_nepHo.n;;KoH_nepHo.u;THn). 3aiJa11a. 3aeM no.n HC.IJ;BH)l(HMOCTb c,neJiaH Ha CJIC.nyIOIUHX YCJIOBHHX: npoU:CHTHaH CTaBKa 9 % ro.noahlX; cpoK 30 neT, paJMep ccy,nhI 125 000 p., npou:eHThl Ha'IHCJIHIOTCH exeMeCB:'IHO. HauTH CYMMY BhIJIJiaT no npou;eHTaM 3a BTOPOH ro.n H nepBhlii MCCHU: 3aHMa. Pew e H He. Onpe,neJIHM no Ta6JI. 12.3 06111ee 'IHCJIO BhIJIJiaT H npou;eHTHYIO CTaBKY 3a nepHO.IJ; COOTBCTCTBCHHO 30. 12 H 9 %/12. BTOpoii: ro.n JIJiaTe)l(Cii: - 3TO paC'ICTHhlii nepHO.IJ; c 13 no 24 MCCHU:hl. 06my10 BhIJIJiaTY no npou:eHTaM 3a BTopou ro.n onpe.neJIHM no cne.nyIOmeii: <l>OPMYJIC: OBIIJ;IlJIAT(9%/12;30*12;125 000;13;24;0) =-11135,23 p. BhIJIJiaTY no npou;eHTaM 3a nepBhlii MCCHU: COCTaBHT: OBIIJ;IlJIAT(9%/12;30*12;125 000;1;1;0) =-937,5 p. IIJIIlPOU:(9%/12;1;30*12;125 000) =-937,5 p.

177


<l»ymanm OCHIIJIAT.

c ITOMOll.l,bIO 3TOH <l>YHKUHH Bbl'IHQJullOT oc-

HOBHOH IIJiaTex (BbIIIJiaTY 3MOJDKeHHOCTH) ITO 3aHM}', KOTppbIH ITOrarnaeTCH paBHblMH qaCTHMH B KOHI.J,e HJIH HaqaJie KIDK,ll.Oro pacqeTHOro ITep110.ua B TeqeHHe Ja,n;aHHoro cpoKa. Ci.rnTaKCHC OCHIIJIAT(ttopMa;ITep110.u;KIIep;Tc;6c;THrr!). I

3aiJa11a. Pacc•nnaTb rrpH rroMOIUH <l>YHKIIHH OCHilJIAT CYMMY octtoBttoro rmaTe)l{a rro Jaii:M)' H3 Ta6JI. 12.4. p e III e H He. C}'MMa OCHOBHOro rmaTe)l{a IIO 3aHM)' (BbIIIJiaTil 3a,!l.OJI)l{eHHOCTH) paCC'IHTbIBaeTCH KaK pa3HOCTb Me)l{)zy <t>HKCHpOBaHHOH rrepHOAH'leCKOH BbrrmaToii: H rrpol.(eHTaMH rro tterrorawettttoii: 'laCTH Jaii:Ma. HarrpHMep, AJIH rrepaoro ro.u,a 3aii:Ma OCHOBHOit rmaTe)I{ COCTaBHT: 31680,16 - 11900 = 19 780,16 p. Pa3Mep octtOBHbIX BbIIIJiaT rro Jaii:My rrpH rroMOIUH <l>YHKIIHH OCHilJIAT B Excel orrpe.u,eJIHeTcH rro CJie.u,yiomHM <t>opM)'JiaM: OCHilJIAT(17%;1;3;-70 000) = -19 780,16 p. OCHnJIAT(17%;2;3;-70 000) = -23 142,78 p. OCHilJIAT(17%;3;3;-70 000) = -27 077,06 p.

<l>yHl{JUHI 0:6IIJ,I1;0X0,IJ;.

3Ta $yttKI.J,HH MCITOJih3yeTCH MH BbJqMC-

JieHHH CyMMbl OCHOBHbIX BbIIIJiaT ITO 3aHMy, KOTOPblH ITOrarnaeTCH paBHhIMH IIJiaTexaMM B KOHI.J,e IDIM Haqane KIDK,ll.oro pacqeTHoro ITepMo.ua, HJIM Me)K,ll,)' .UBYMH ITep110.uaMM. CMHTaKcMc OBI.II,llOXO,IJ.(cTaBKa;KoJI_ITep;3;ttaq_ITepMo.U;KoH_ITepMO.U, THIT).

3aiJa11a. Bhmatta ccy.u,a pa3MepoM 1000 TbIC. p. cpoKOM Ha IIIeCTb neT rro.u, 15 % ro.u,oahlx; rrpol.(eHThl tta'IHCJIHIOTCH e)l{eKBapTaJibHO. Orrpe.u,eJIHTb pa3Mep OCHOBHbIX BbIIIJiaT 3a IIHTbIH ro.u,. Pew e H He. Orrpe.u,eJIHM rro rn6n. 12.3 cTaBKY rrpouettrn Ja pac'leTHbIH rrepHOA (15 %/4) H o6mee 'IHCJIO pac'leTHbIX rrepHOAOB (6·4). IlepHOAbl c 17 IIO 20 MeCHUbl COCTaBJIHIOT IIHTbIH ro.u, rmaTe)l{eH. EcJIH ccy.u,a rroraIIIaeTCH paBHblMH rmaTe)l{aMH B KOHI.(e Ka)l{)J,Oro pac'leTHOro rrepHOAa, pa3Mep BblIIJiaTbl 3a,!J.OJI)l{eHHOCTH 3a IIHTbIH ro.u, orrpe.u,eJIHM CJie.u,yiomHM o6pa30M: OEI.I.I,lJ;OXO.IJ;( 15%/4;6*4;1000; 17 ;20;0) = -20 l ,43 p.

Onpe,ll,e.Jieuae cKopocTH o6opOTa

HHBecT~

B Excel MMelOTCH <l>YHKI.J,MH, II03BOJIHIOll.l,Me paccqMTaTh: • BttyTpeHHIOIO CKOpOCTb o6opoTa MH pH,ua ITOCJie.UOBaTeJibHbIX ITepMO,uHqeCKMX ITOCTYIIJieHHH H BbIIIJiaT ITepeMeHHOH BeJIJiq}lffbl -

<l>YHK-

l.l,HH BH,IJ.OX; • BttyTpeHHIOIO CKOPOCTb o6opoTa MH pH,ua HeperyJIHpHbIX IIOC'fYilJieHMH M BbIIIJiaT ITepeMeHHOH BeJIJiqHHbl -

<l>YHKUHH qwcTBH,IJ.OX;

• BttyTpeHHIOlO CKOpOCTb o6opoTa MH pH,ua rrepMO,l(JiqeCKMX rroCTYIIJieHMH M BbIIIJiaT ITepeMeHHOH BeJIJiqMHbl c yqeTOM .uoxo.ua OT peMHBeCTMpoBaHHH -

178

<t>YHKUHH MBC,IJ..


c rroMorn;bio <l>YHKI.J;H:H BHLl,OX H q11cTBHJJ:OX BbNHcID110T HTepaTHBHbIM MeTo.LJ;oM HOPMY .LJ;HCKOHTHpoBaHIDI Ta51 TeKYlllM CTOHMOCTb

k,

l-ta51 HOpMa ,LJ;OXO,LJ;a

(NPV)

R,

rrpH KOTopo:H qHc-

paBHa H)'JllO. ECJIH H3BeCTHa pbIHoq-

TO Bbl'IHCJieHHOe 3HaqeHHe

R MO)KHO HCIIOJib30-

BaTb .llllil oueHKH ueJiecoo6pa3HOCTH rrpHH51TIDI Toro HJIH HHOfO rrpoeKTa BJioxeHIDI cpe.LJ;CTB. IlpoeKT rrpnHHMaeTc51, ecJIH raeTc51, ecJin

R < k.

R > k,

n OTBep-

OcHoBaHHeM .llllil rrpHH51TIDI perneHIDI 5IBID1eTCH TO, qTo rrpH

R

<k

O)KH,ll;aeMbIX ,LJ;OXO,LJ;OB OT rrpoeKTa OKa3bIBaeTC51 He,LJ;OCTaToqHo ,LJ;.JUI IIOKpbITH51 Bcex <t>nHaHCOBbIX IIJiaTexe:H, T.e. rrpoeKT 3KOHOMHqecKH HeueJiecoo6pa3eH. CooTBeTCTBeHHO rrpH

R > k HHBecTop 3a cqeT .LJ;OXO.LJ;OB

OT rrpoeKTa CMOXeT He TOJlbKO BbIIIOJIHHTb Bee <l>HHaHCOBbie 06513aTeJibCTBa, HO " IIOJIY'iHTb ,LJ;OIIOJIHHTeJibH)'10 rrpH6bIJib. QqeBH,LJ;HO, qTo TaKOH rrpoeKT 3KOHOMffqeCKH ueJiecoo6pa3eH, n ero cJie.LJ;yeT rrpHH51Th.

<l>ymmeJr BH.IJ:OX.

C IIOMOIUblO 3TOH <i>YHKI.J;HH BblqHCIDllOT BttyT-

peHHIOIO cKopocTh o6oporn HHBeCTHUHH (BJIYTPeHHIOIO HOPMY .LJ;OXO.LJ;HOCTH) .llllil p51,ll;a rrepeMeHHbIX rrepHO,LJ;ffqeCKHX BbIIIJiaT "

IIOCTYIIJle-

HHH. 3HaqeHne o6opoTa HHBeCTHUHH HaxOMT H3 <t>opMyJibl JJJI51

0 =

f, i=I

r.LJ;e

(12.10)

NPV = 0:

n-

value;;'

qHCJIO BbIIIJiaT H IIOCTYIIJleHn:H;

rrocTYIIJleHH:H;

R-

(12.54)

(1 + R) value; -

3HaqeHH51 BbIIIJiaT H

BJIYTPeHHH51 cKopocTb o6oporn.

CHHTaKCHC BHLl,OX(3HaqeHIDI, rrpe,LJ;rroJioxeHne). HaqHHM co 3HaqeHIDI rrpe.LJ;rroJioxeHHe, <l>YHKI.J;IDI BHLl,OX BhIrroJIH51eT UHKJIH'IeCKHe BblqHCJieHIDI ,LJ;O IIOJIY'ieHIDI pe3yJibTaTa c ToqHOCTblO

0,00001 %.

ECJIH TaKOH pe3yJihTaT He IIOJIY'ieH IIOCJie

20

IIO-

IlbITOK, B03BpamaeTC51 3HaqeHHe oum6KH #qMCJIO!. B 6oJibIIIHHCTBe CJIY'iaeB HeT Heo6xo.LJ;HMOCTH 3a.LJ;aBaTb apryMeHT rrpe.LJ;IIOJIO)KeHHe .llllil BbJqHCJieHHH c IIOMOIUblO <l>YHKI.J;HH BH,lI;OX. Ilo yMoJiqaHHIO apryMeHT rrpe.LJ;rroJioxeHHe rrpHHHMaeTC51 paBHhIM

(10 %).

0.1

EcJIH BHLl,OX BhmaeT 3HaqeHne ornH6KH #qMCJIO! HJIH ecJIH

IlOJiyqeHHbIH pe3yJibTaT ,LJ;aJieK OT O)KH,ll;aeMoro, MO)l(HO IIOIIbITaTbC51 BhIIIOJIHHTh BhNHCJieHIDI eme pa3 c .LJ;PYfHM 3HaqeHHeM apryMema rrpe.LJ;rroJioxeHHe. <l>yttKI.J;HH Hil3 H BHLl,OX B3aHMOCB513aHbI: .llllil O.LJ;HHaKOBbIX 3HaqeHHH BhIIIJiaT n

IIOCTYIIJleHHH, HaXOMIUHXCH B 51qe:HKax B

Hil3(BHLl,OX(Bl: B6);Bl: B6)

1: B6,

= 0.

3aiJa11a. 3aTpaTbI no npoeKTY 500 MJIH p. O:>KHJJ:aeMbie .uoxo.UhI B Te'lettne nocne.uyrorn:nx qeTbipex JieT COOTBeTCTBeHHO 50, 100, 300 H 200 MJIH p. OueHHTb 3KOHOMH'leCKYJO uenecoo6pa3HOCTb npoeKTa no CKOpOCTH o6opoTa HHBeCTHUHH, eCJIH pbJHOqHrui: HOpMa .uoxo.ua 12 %.

179


400

300 200

200

ci.

~

0

i:i:i

:a -200 ts

J路tt;;it

100

<:,)

. .l

2

3

4

5

fOJJ;hl

~

0

i::t:

-400 -600

-500 Puc. 12.10. CxeMa o6opOTa HHBecnn.i;uu

Pe III e H He. IIycTL H'Ieihrn Al : AS co.nepxaT 3HaqeHIDI -500, 50, 100, 300, 200. BttyTpeHIUUI cKopoCTb o6opOTa HHBeCTHU:HH orrpe.neIDieTcH cne.nyIOI.UHM o6pa3oM: BH,IJ;OX(Al :AS)= 9,25 %, qTO MeHbIIIe, qeM pbIHoqHaH HOpMa, T. e. rrpoeKT .D;OJl)l{eH 6bITh orneprnyr. fpa<t>uqecKaH HHTeprrpeTaU:IDI .n;aHHOH 3a,naqu rrpe,ncTaBJieHa Ha puc. 12.10.

3aiJa'la. 0)1{H.!l;aeMLie .noxo.n;hI no rrpoeKTY B TeqeHHe rrocJie.nyIOmHX qeTbIpex JieT COOTBeTCTBeHHO 50 000, 100 000, 300 000 H 200 000 p. Orrpe,neJIHTh, KaKHM .!l;OJl)l{Hbl 6bITb rrepBOHaqaJibHhie 3aTpaThl, qTo6hI o6ecrreqHTh CKOpOCTb o6opOTa 10 %. Pe III e Hue. TaK KaK B Excel OTCYTCTByeT cooTBeTCTBYJOI.UaH <t>uHaHCOBaH <l>YHKUIDI, .D;IDI peIIIeHIDI 3a,naqu ucrroJih3yeM arrrrapaT rro.n6opa rrapaMeTpa, Bhl3hIBaeMbIH KOMaH.D;OH MeHIO Cep6UC, IloiJ6op napaMempa. IlycTL H'IeHKH A2: A5 co.nepxaT 3HaqeHIDI 50 000, 100 000, 300 000, 200 000. IloMecTHM B H'IeHKY Al rrpe.nrronaraeMoe 3HaqeHHe JaTpaT -300 000. B .!l'IeHKY Bl sse.n;eM <t>YHKUHIO =BH,IJ;OX(Al:A5). YcTaHOBHB Kypcop B .!l'IeHKY Bl, BhI6epeM B MeHIO Excel KOMatt.ny Cep6uc, IloiJ6op napaMempa u 3aIIOJIHHM rroHBHBIIIeecH .nuanoroBoe oKHo. B pe3yJibTaTe s gqeifKe Al rronyquM 3HaqeHHe 3aTpaT no rrpoeKTY: Al = 489 339 p. ~ qffCTBH,LJ:OX. 3Ta cPYHKUIDI o6ecrreqHBaeT Bbl'IHCJieHHe BHYfPeHHe:U CKOPOCTH o6opoTa ,llJUI pH,!1;a Heperymi:pHbIX IIOCT}'IIJieHHH H BhIIIJiaT rrepeMeHHo:U BeJiffqHHhI. Bhl'IHCJieHIDI rrpoH3BO,UHTCH no cJ;>opM)'Jie

0

=~ 拢... i=I

value; do-d1 '

(12.55)

(1 + R)365

r.n;e n - qffCJIO BbIIIJiaT H IIOCTYIIJieHH:U; d; - .n;aTa i-ii onepan;HH; do .n;arn lfYJieBo:U orrepau;HH (HaqanhHaH ,n;aTa); value; - CYMMa i-:U orrepaU:HH; R - BHYfPeHHHH cKopocTh o6opOTa. CHHTaKcHc q11cTBH,ll:OX({cYMMaO;cYMMal; ... ;cYMMaN},{.n;arnl;.n;aTa2; ... ;.n;aTaN} ,npe.n;rr). MeTo,n; BhNHCJieHIDI no 3TOH cPYHKUHH TOT xe, qro H no cPYHKUHH

BH,UOX.

180


<l>yHKI.J;HH q11cTBH,llOX H q11cTH3 B3aHMOCBR3aHbl: T.e. ,ll)IR O.UHHaKOBbIX 3Ha'leHHH IIOCTYIIJieHHH (BbIIIJiaT) H .uaT q11cTH3 (qlfCTBH,n:OX( ... ), ... ) 0.

=

3aiJtl'la. PaccMOTPHM rrpHMep HCIIOJib30BaHHR <t>y1uai;HH ql1CTH3. IlycTb Heo6XO,ll;HMO orrpe.neJIHTb, rrpH KaKHX pbIHOqHbIX ycJIOBHRX rrpoeKT 6y.neT 3KOHOMH'leCKH u;e11ecoo6paJeH. Pe III e H He. PaccqHTaeM BffYTPeHHIOIO cKopocTb o6opOTa. CTaBira .noxo.na, COOTBeTCTBYIOIUruJ. ttyJieBOH NPV, COCTaBHT ql1CTBH.[(OX(A2:E2,Al:El) = = 37 ,49 %, T. e. rrpoeKT HMeeT CMbICJI, eCJIH pbrnoqHrui. HOpMa .noxo.na MeHbllle 37.49 %.

Cl>yuKmm MBC)J;. 3Ta <l>YHKI.J;HR B03BpamaeT Mo,umpHI]Hpoaamzyro BHYfPeHHIOIO CKOpOCTb o6opoTa cpe.ucm Jl:JIR pR,ua nepeMeHHbIX nepH0,UH'leCKHX IIOCTYIIJleHHH H BbIIIJiaT. IlpH 3TOM yqHTbIBaIOT CTOHMOCTb HHBeCTHl]HH H .uoxo.u, IIOJiyqaeMblH OT peHHBeCTHpOBaHHR. <l>OPMYJia JJ:JIR Bbl'IHCJieHHR <l>YHKI.J;HH MBC,ll HMeeT BHJJ:

value!' -I ( i=L 1 + r value["; i=t (1 + J) n

l

)i (1 + r )n-1 (1 + f)

l -l

-1,

(12.56)

r.ue n - o6mee 'IHCJIO BblIIJiaT H IIOCTYIIJleHHH; valuef - IIOJIO:xrn:TeJibHbie 3Ha'leHHR (IIOCTYIIJleHHR); value'{'- OTpHl]aTeJibHbie 3Ha'leHHR (BbIIIJiaTbl); r - HOpMa npH6bIJIH, BbIIIJia'IHBaeMOH 3a .ueHbrH, HaxoMIIJ;HeCR B o6opoTe; f - HopMa npH6bIJIH, noJiyqaeMoH: 3a ,ueHbrH B o6opore npH peHHBeCTHpoaaHHH. CHHTaKcHc MBC,ll ( 3Ha11eHHR;qmHaHCOBaR_ HopMa;peHHBecT_HopMa). ApryMeHT <l>YHKI.J;HH .UOJDKeH co.uepxaTb 110 KpaH:HeH Mepe O.UHO IIOJIO:xrn:TeJibHOe H O,UHO OTpHl]aTeJibHOe 3Ha'leHHe Jl:JIR Toro, 11T06bI MO)l(HO 6bIJIO Bbl'IHCJIHTb MO.UH<l>HllHPOBaHHYJO BHYfPeHHIOIO CKOpOCTb o6opoTa. B npoTHBHOM cJiyqae <l>YHKllHR MBC,ll B03BpamaeT 3Ha11eHHe oum6KH #,llEJI/O!.

3aiJa'ta. Ccy.na B paJMepe 1 MJIP.ll: p., B3HTruJ. rro.n 10 % ro.noBbIX ,ll;JIH <l>HHaHcHpoBaHHR rrpoeKTa Ha IIHTb JieT, rrpHHeCJia rrpH6bmb COOTBeTCTBeHHO 100, 270, 450, 340 H 300 MJIH p. 3TH .neHbrH 6bmH peHHBeCTHPOBaHbl rro.n 12 % ro.noBbIX. HaH:TH MO.ll:H<l>Hu;HpoBaHHYIO BttyTpeHHIOIO cKopocTb o6oporn HHBeCTHIJ;HH. Pewenue. IIycTb Ha pafioqeM JIHCTe 3aeM BBe.neH KaK -1000 B HqeH:KY B 1, a B H'leHKH B2: B6 BBe.neHbI 3HaqeHHR npH6blJIH 3a KIDK,Ll;bIH ro.n. Tor.na MO,ll;H<l>Hu;HpoBaHHYIO BttyTpeHHIOIO CKOpOCTb o6opoTa 3a IIHTb JieT MOXHO HaHTH no cJie.nYIOmeH: <t>opMyJie: MBC.[((Bl:B6;10%;12%) = 12,25 %.

181


ua

OuenKa aclJclJeKTHBHOCTH HHBCCTHUHH OCHOBe npHMCHCHHH Ta6JIHUhl DO,Zl.CTaHOBKH IlpH oueHKe H amUIH3e BapHaHTOB HHBeCTHUHH qacTo Tpe6yeTCR TIOJiyqHTb KOHeqHbie pe3yJibTaTbI TIPH pa3JIHqHhIX Ha6opax HCXOJJ:HbIX ,naHHhIX. 0.n;HHM HJ .nocTOHHCTB Excel RBJIReTCR B03MO)l(}{OCTh 6hICTporo pellieHHR Tio.n;o6HhIX Ja,naq H aeToMaTHqecKoro Tiepecqern peJyJihTaTOB TIPH H3MeHeHHH HCXO.D:HhIX .n;aHHhIX. HaTipHMep, MO)l(HO TIOCTpOHTb $HHaHCOBYJO MO,neJib .D:JIR paJJIHqHhIX 3HaqeHHH TipoueHTHhIX CTaBOK H TiepHO.n;HqeCKHX BbIIIJiaT H BbI6paTb OTITHMaJihHOe pellieHHe. ,ll;nR pellieHHR Tio,no6HhIX Ja,naq B Excel cnyxHT Ta6nHua, co.nep)l(alllaR pe3yJihTaThI, TionyqeHHhre TIPH Tio;:i;cTaHOBKe pa3JIHqHhIX 3HaqeHHH B pacqeTHYJO <t>opMyJiy. IlpHHUHTI pellieHHR COCTOHT B cne,nyIOmeM. BoJMO)l(}{bie HCXO.D:Hhre 3HaqeHHR o.n;Horo HJIH ,neyx apryMeHTOB $yHKUHH Tipe.n;CTaBJIRIOT B BH.n;e CTIHCKa HJIH Ta6JIHUhI. IlpH HCTIOJih30BaHHH O.D:HOro apryMeHTa CTIHCOK HCXOJJ:HbIX 3HaqeHHH 3a,naeTCR B BH.n;e CTpOKH HJIH cTon6ua Ta6JIHUhI. Excel TIOJJ:CTaBJIReT 3TH 3HaqeHHR B <t>opMYJIY ($yHKUHIO), 3a,naHHyio TIOJib30BaTeJieM, a 3aTeM BbICTpaHBaeT pe3yJihTaTbI TaKXe COOTBeTCTBeHHO B CTpOKY HJIH CTOJI6eu. IlpH HCTIOJib30BaHHH Ta6JIHUhI c .D:BYMR TiepeMeHHhIMH 3HaqeHHRMH OJJ:HO H3 HHX paCTIOJiaraeTCR B CTOJI6ue, ,npyroe -

B CTpOKe; pe-

3YJibTaT BhrqHCJieHHH TIOJiyqaIOT Ha TiepeceqeHHH CTOJI6ua H CTpOKH.

Ta6/lUU,a noacmaH06KU H3 MeHIO J(aHHbte .D:JIR OJJ:HOH TiepeMeHHOH, KOTOpaR co.nep-

TaKHM o6pa30M, KOMaH.n;a TI03BOJIReT C03JJ:aTb Ta6JIHuy

)l(HT pe3yJibTaTbI pacqern TIO O.D:HOH HJIH HeCKOJlhKHM <l>OPMYJiaM, H Ta6JIHuy

.D:JIR .nsyx TiepeMeHHhIX, co.nep)l(alllYIO pacqeThI MR O.D:HOH

$OPMYJibI.

IIocTPoeHHe Ta6JIHUbl no,ZJ.cTanoeKH AJlll O.IJ.HOii nepeMeHHoii. HaTipHMep, Tpe6yeTCR oTipe,neJIHTh, KaKHe e)l(eMecRqHhre BhIIIJiaThI Heo6xoJJ:HMO BHOCHTb TIO ccy,ne pa3MepoM 200 MJIH p., BhIJJ:aHHOH Ha TpH ro.n;a, TIPH pa3tthIX TipoueHTHhIX cTaBKax. ,ll;JIR perneHHR 3a,naqH uenecoo6pa3HO BOCTIOJib30BaTbCR Ta6JIHUe:H TIOJJ:CTaHOBKH, Tipe.neapHTeJibHO rro.nroTOBHB HCXO.D:Hbie .n;aHHbie Ha pa6oqeM JIHCTe Excel, KaK TIOKaJaHo Ha pHc. 12.11. 3aTIOJIHeHHe Ta6JIHI..J;bI BbIIIOJIHReTCR B CJie.nyIOmeM TIOpR,nKe:

~ BBeCTH B gqe:HKY D7 <l>OPMYJIY .D:JIR pacqern TiepHOJJ:ffqeCKHX TIOCTORHHhIX BhIIIJiaT TIO 3aHMY rrpH ycJIOBHH, qTo OH TIOJIHOCTbIO TIOralliaeTCR B TeqettHe cpoKa 3a:HMa: =I1IlJIAT(C4/12;C3*12;C2); ~

Bhr,neJIHTb ,nHaTia30H gqeeK, co.nep)l(alllHX HCXOJJ:Hbie 3HaqeHHR

TipouettTHhrx crnaoK -

crnn6eu C8: C13 (coorneTCTBetttto peJyJihTa-

ThI TIO.D:CTaHOBKH 6y.nyT pacTionaraTucR B cTon6ue D8: D13) H <t>opMyJIY MR pacqern D7: 013.

~ KOMaH.n;OH

Ta6!lUU,a noacmaH06KU

H3 MeHIO

J(aHHble

OTKpbITb CO-

OTBeTCTBYJOlllee JJ:HaJIOfOBOe OKHO (pHC. 12.12). 3To OKHO HCIIOJih3yeTC.SI

.D:JIR 3a,naHHR pa6oqe:H _gqe:HKH, Ha KOTOPYJO CCbmaeTC.SI <l>OPMYJia

182


=nnnAT(C4/12;C3*12;C2)

07

A

c

B

0

E

200000

CyMMa 3al1Ma CpoK (11er) CrasKa

3 8 ,ยง0% CraBKH _

.~YMMa 11

8,75%.

n11are>Ka -6313,51p J! ..

9% 9,25% 9,50% 9,75% 10% PHc.

12.11.

Ilo,!1.roTOBKa HCXO,ll.HhIX ,ll.aHHhIX K HCfiOJlh30BaHHIO B

Ta6JIHI..t:e

nO,ll.CTaHOBKH

PHc.

12.12. .ll,Hanorosoe oKHo

KOMaH,ll.bl

Ta611uu,a noacmaHOBKU

OK

pacqeTa. B HaweM rrp11Mepe 3TO H'!di:Ka C4, KOTopyio Heo6xo.uuMo YKa3aTb B IIOJie IloiJcma6/LJlmb 3HaiteHWl no cmpOICaM B a6COJIIOTHbIX KOOp,UHHaTax. EcJIH HCXO.UHbie .uaHHbie pacrroJIO)l{eHbl B crpoKe, CCbIJIKY Ha pa6oqyio Hqeii:KY Heo6xo,nHMO ssecTH B rroJie Iloocma61LJ1mb 3Ha-

11eHW1 no cmoA6u,aM;

==> Ha)l{aB KHOIIKY [OK], IIOJiyqHTb CTOJI6eu; pe3yJibTaTOB , (pHC. 12.13). 06paTHM BHHMaHHe, qro rronyqeHHbie rrepuo,nuqecKHe BhIIIJiaTbI orpuu;aTeJibHbie, TaK KaK C)'MMa Jaii:Ma B <l>YHKllHH IIIIJIAT 6bma BBe,UeHa KaK IIOJIO)l{l{TeJihHaM. EcJIH B Ta6Jittey rro,ncTaHOBKH rpe6yeTcH ssecTH .uorroJIHHTeJILHO <l>OPMYJibI ,UJIH BhJqHcJieHHH rrpou;eHTHhIX CTaBOK, TO HX pacrroJiaraIOT crrpasa OT BBe,UeHHOH pattee <l>OPMYJibl B TOH )Ke crpoKe, a 3aTeM BhI,UeJIHIOT BCIO Ta6JIHI.J;y, BKJIIOqaM rronyqeHHbie 3HaqeHHH, H 3aIIOJIHHIOT .uuanorosoe oKHo Ta6Auu,a noiJcmaHOBKU. B .uaHHOM rrpHMepe np11 pacqere IIJiaTexe:H rro rrpou;eHTaM Ja nepBLIH nep110.u ,UJIH Ka)l{,Uoro JHaqeHHH npou;eHTHoii: cTaBKH B H'leii:KY E7 Heo6XO.UHMO BBeCTH <l>OPMYJIY =IlJIIIPOU,(C4/12; 1;C3*12;C2) H TIOBTOPHTh see .ueii:cTBHH, orrucaHHLie pattee. PeJyJILTaTLI TaKoro pacqeTa rrpHBe,UeHbl HapHC. 12.14. Ilpu pacqeTe BhIIIJiaT no npou;eHTaM ,UJIH ocTaJILHLIX rrep110.uos (co 2-ro no 36-:H) Heo6XO,UHMO TIO,UCTaBHTh <l>OPMYJibl B Hqeii:KH, CJie.uyIOlllHe cnpasa Ja H'!e:HKo:H, JanOJIHeHHOH paHee. 183


=

F16

PHc.

12.13. Pe3yJibTaT pac<IeTa e)l{eMeCH<IHbIX BbIIlJlaT no JaHMY npH pa3HbIX npou:eHTHbIX CTaBKax G6

c C_yMMa 3ai1Ma CpoK (neTl CTaBKa

D

200000, 3, 850%T

E

-=- ~~--~- -

' 1

i

I

I CTaBKH

nnaTe>KH no I 05lJ.1aR cyMMa nnaTe>Ka npo4eHTaM 3a 1 I MeCR4

8,75% , 9% 9,25% 9,50%1 9,75% 1 10%

-6313_.~ _-1416,67p -6336 ,701444 -1458 ,333333 :6359 ,946532 - - - - -1500 -6383 ,242712;- ::fยง_4_1_.E>~ยงEil -6406 ,589948 -1583 ,333333 -6429 ,988203 t -1625 -6453 .437-::{39J -1666 &66667 I

PHc. 12.14. Pe3yJibTaT pacqeTa e)l{eMecsi:qHbIX BbIIlJlaT H IlJlaTe)l{eH no npou:eHTaM 3a nepBblH Mecsi:u: npH pa3HbIX npou:eHTHbIX CTaBKax IlonyqeHHruI Ta6Jmua aaToMaTWiecKH nepecqJITbIBaeTcH npH H3MeHeHHH CYMMhl H cpoKa 33.HMa, T. e. npH BHeceHHH H3MeHeHHH B SJqe:ffKH C2 H C3.

IlOC'l'pOeBBe Ta6mmw DO.llCTaeoao .arur .llByx nepeMellllLIX. HanpHMep, 'l'pe6yeTCH onpe.n;eJIHTb exeMecHqHbie BbIIlJlaThl no ccy.n;e pa3MepoM 300 MJIH p. npH paJJIJiqHbIX cpoKax norarneHHH H npoueHTHbIX CTaBKax. C03.D;aHHH Ta6JIHUbl IlO.ll;CTaHOBKH B 3TOM cnyqae Heo6XO,II;HMO BbIIlOJIHHTb CJieA}'IOIUHe .zi;e:HCTBHH: => BBeCTH nepaoe MHOXeCTBO HCXOJJ;HbIX 3HaqeHHH (npoueHTHbie

.nmr

CTaBKH) B CTOJI6eu, HanpHMep B HtleHKH

184

B8: Bl3;


CyMMa 3a'1Ma CpoK (ner) CraeKa

300000

3 8,50%

CpoKH noraweHHR -9 470 ,26p.1 8,75% 9% 9,25% 9,50% 9,75% 10%

PHC.

10

5

12.15. Ilo.D;roTOBKa HCXO.!l;HhlX .D;aHHbIX K

20

15

HCllOJib30BaHHIO B Ta6JIHI.J;e

110.!l;CTaHOBKH c .!l;B}'Mjl 11epeMeHHblMH

Ta6nMua

PHc. 12.16. ,ll,Ha.rroroeoe oKHo

noncTa~oBKM • -

· - · - - ..

• ..

l'J £i

noA<T<!8nRTb 3Ha4eHHil no <TQ.n6uaM a:

I$C$3

noACTaBnRTb 3Ha4ettHR no CT1l9K3M a:

... ,$-C$_4_ _....,....,

Ta6JIHUbl 110.!l;CTaHOBKH AJUI )l.Byx

OK

11epeMeHHbIX

(6

A

B CyMMa 3aHMa ICpoK (ner) CraeKa

300000

3 8,50%

CpoKH noraweHHR -9 470,2~ -l 8,75% 9% 9,25% 9,50% 9,75% 10%

PHc.

12.17.

5 -6191,17 -6227 ,51 -6263 ,97 -6300,56 -6337,27 -6374,11

10 -3759,8 -3800,27 -3840 ,98 -3881 ,93 -3923,11 -3964,52

15 -2998,35 -3042 ,8 -3087 ,58 -3132,67 -3178,09 -3223 ,82

20 -2651,13 -2699,18 -2747,6 -2796,39 -2845,55

-2895,06

PeJyJibTaT pacqern Ta6JIHUbI 110.n.cTaHOBKH c ABYMH 11epeMeHHblMH

~ BBecn1 BTopoe MHOXeCTBO HCXO,IJ;HhIX 3HaqeHHH (cpmrn rrorarnemra) B CTPOI(}', pacrronoxemzy10 BhIIIIe H rrpaeee Ha o,n;tty H'!eHKY OT Haqana nepeoro .n;HarraJoHa, T. e. B gqeff:KH C7: F7; ~ BBeCTH <t>opMyny ,IJ;JIR pacqeTa Ha nepeceqeHHH CTPOKH H CTOJI6ua, co,n;epxamu:x ,IJ;Ba MHOXeCTBa BXO,!J;HhIX 3HaqeHHH, T. e. B gqeff:KY

185


B7. Ecm1 HCXO.UHhie .uaHHhie BBe.ueHhI Ha pa6oqeM JIHCTe Excel, <t>opMyna MH pacqeTa noCTOHHHhIX nepHO,UM:qeCKHX BhITIJiaT CCY.Uhl npM noJIHOM ee norarneHHH B TeqeHHe cpoKa 3aif:Ma BhirJIH,ll;HT cne.uyioIIIHM o6pa3oM: =IlIIJIAT(C4/12;C3

* 12;C2).

Pe3yJihTaT no.uroTOBKH

Ta6JIHU:hl no.ucTaHOBKJI c .UBYMH nepeMeHHhIMH K pacqezy npe.ucTaBJieH Ha PHC. 12.15: ~ Bbl,ll;eJIHTh .UHana30H Ta6JIHU:hl .uaHHhIX, BKJ11oqaIOII1HM B ce6H BCe HCXO.UHbie 3HaqeHHH H <l>OPMYJIY pacqeTa B7: F13;

~ KOMaH,ll;OM Ta6JlUU,a noacmaH06KU H3 Memo /(aHHble omKpblmb H 3anOJIHHTh COOTBeTCTBYJOII1ee .UHaJIOfOBOe OKHO (pHC. 12.16);

~ HaJKaB KHOnKY

[OK],

nonyqHTh pe3yJihTaThl pacqern Ta6JIHU:hl

nO.UCTaHOBKH (pHC. 12.17). IlpH H3MeHeHHH CYMMhI 3aif:Ma CHCTeMa Excel aBTOMaTHqecKH nepecqHTaeT BCIO Ta6JIHu:y.

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B

gqeif:Ke D3 YKa3aHhI npe.unonaraeMhie HaqanhHhie JaTpaThI no

npoeKT)' (1280 MJIH p.) co 3HaKOM MHttyC, nOCKOJihKY 3TOT .ueHe)l(HhIM nOTOK .UBH)l(eTCH npOTHBOnOJIO)l(HO O)l(H,ll;aeMbIM .uoxo.uaM. 3TO 3HaqeHHe He06XO.UHMO BKJIJOqJiTh B cnHCOK apryMeHTOB <l>YHKUHH HII3, TaK KaK qHcTYIO TeKYIIIYJO CTOHMOCTh paccqHThIBaIOT Ha Haqano 186


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C

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HopMa AHCKOHTHpoeaHHR 13% l-1Heecrn4HR B 1 rDAY -1280 L\OXOA 3a 2 rDA 420 L\OXOA 3a 3 rOA 490 L\OXOA 3a 4 rOA 550 L\OXOA 3a 5 roA 590 II KanHra11oe11olKeHHR. MJlH 193,33p. -1250 -1270 -1290 13,00% 219,8752 202,176 184.477 13 ,80% 195 .447 177 ,872 160 ,298 15,00% 160,6053 143,214 125,823

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12.18.

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13, 13,8 H 15 %. B9 c TIOMOIIlbIO MaCTepa pacqern: = HI13(D2;D3:D7).

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12.19,

H3 KOTOpoH: BH.D:HO, qTo MaKCHMaJibHaH qHc-

TaH TeKyrn:aH CTOHMOCTb .ll:OCTHraeTCH npH MHHHMaJibHbIX KaTI.HTaJIOBJIO:XCeHIUIX .H M.HH.HMaJihHOH CTaBKe .D:.HCKOHTHpoBaHHH. AHan.H3HPYH

D 15,00 % • 13,80 % D 13,00 %

I

I I .

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200

300

qHCTasI TeKyll.\asI CTOHMOCTb rrpoeICTa, MJIH p.

Pwc.

12.19. qHCTIDI TeK)'lll.IDI

CTOHMOCTh rrpoeKTa ,11,JUI paJJittqHbIX ofrheMOB

KaIIMTaJIOBJIO)l(eHMH H rrpou;ettTHhIX CTaBOK

187


pe3yJibTaTbI pacqeTa, MO:)l{HO OTMeTIITb B HeKOTOpbIX cnyqaHX npaKTHqecKH o,rurnaKOBYJO qffCTYJO TeKYIUYJO CTOHMOCTb, HanpHMep npH KaIlHTaJIOBJIO)l(eHIDIX

1310

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1270 MJIH p.

NPV,

13,8 %

qTo H npH HHBeCTHIIHH pa3MepoM

H CTaBKe )J;HCKOHTHPOBaHIDI

15 %.

IlpH H3MeHeHHH pa3MepoB O)l(ll,ll;aeMbIX ,ll;OXO,ll;OB, HHBeCTHIIHH H npo11eHTHhIX cTaBOK B Excel aBTOMaTHqecKH nepecqHTblBaeTCR BCR Ta611H11a. TaKHM o6pa30M, H3MeHHB cooTBeTCTBYJOIIIHe gqeifKH Ha o;::i;HOM pa6oqeM JIHCTe MO)l(HO paccqHTaTb 'lHCTYJO TeKYIUYJO CTOHMOCTb ;::i;attttoro HJIH attanorffqHOro npoeKTa.

Cl>ymaum Excel

MR p8C'le'I'8 8MO)JTll3;mtlll

B CHCTeMe Excel HMeeTcR rpynna <l>YHKIIHH ,lJ;JIR onpe;::i;eneHIDI aMopTil3aIIHH HMYllleCTBa pa3.JIWIHhIMH Mero;::i;aMH. HaH6onee HCnonb3yeMhle H3 HHX:

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ecmi: ,lJ;JIR pacqern aMOpTH3aIIHOHHblX O~HCJieHHH 3a

Ka)l{)J;blH nepHO)J; HCilOJib3yeTCR MeTO,ll; YMeHb11Ia10111erocR OCTaTKa. AprYMeHTbl <l>YHKIIHH Excel ,lJ;JIR pacqeTa aMopTH3aIIHH npe;::i;cTaBneHbI B Ta6JI.

12.5. Ta61rnn;a

12.5

ApryMell'fY 4>~ Excel .z.JIJI pac'lera aMopn13aQBH 3Ha'leHHe apryMeHTa

ApryMeHT EeJ_ nepeKJIIO'leHHii:

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BpeMR_aMOpTHJan;HH BpeMR_noJIH_aMopT

CpoK 3KCnJIYaTan;HH HMYin;ecma (qHcJio nepHO)lOB aMOpTH3all;HH)

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188


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ApryMeHT

12.5

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Ko3<1><t>HUHeHT ycKopemmu aMOJITH3aUHH rro YMOJiqaHH10, paBHblii: .ll.BYM

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aMOJYfH3aUHIO CroHMOCTh

IlepBOuaqaJihHaH CTOHMOCTb ffMYlllCCTBa

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B KaqecTBe rrpHMepa paccMO'IJJ:HM cneJzyIOll(ylO 3a,n;aqy. Tpe6yeTcH orrpe.n;eJIHTh exero.n;Hhle aMopTH3aUHOHHbie QTqHCJieHIDI Ha o6opy.n;oBaHHe HaqaJibHOH CTOHMOCTbIO 8000 ThlC. p., eCJIH cpoK ero 3KCIIJIYaTaUHH 10 JieT, a OCTaToqmUJ: CTOHMOCTb 500 TblC. p. B Ta6n. 12.6 .n:mi: 3To:H 3a,n;aqH rrpHBe.n;eHhl pacqeThI aMOpTH3aUHOHHhIX orqHcJieHHH Ha o6opy.n;oBaHHe c IIOMOlllblO <l>YHKUHH Excel. JJ:aJiee IIPH OIIHCaHHH <l>YHKUHH 3TH pacqeTbI IIOHCIDIIOTCH. Ta6nuua

12.6

Pe:JyJlltTilTW pac11eTa e.JKero,ZU1wx BMOP'fll3BIUIOHHWX OT'lllCJiemlii ea 06opy,!1,0Blllllle c DOMOIQhlO cl>yeKIUli Excel, TWC. p. Il)J,0.6 fo.ll

AMP

AMf,ll;

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MOE

c rrepeXO,llOM Ha paBHOMCpHbIH MCTO,ll

HapaBHOMepHblii: MCTO.ll

1

750,00

1363,64

1936,00

1600,00

1600,00

1600,00

2

750,00

1227,27

1467,49

1280,00

2880,00

2880,00

3

750,00

1090,91

1112,36

1024,00

3904,00

3904,00

4

750,00

954,55

843,17

819,20

4723,20

4723,20

5

750,00

818,18

639,12

655,36

5378,56

5378,56

6

750,00

681,82

484,45

524,29

5902,85

5902,85

7

750,00

545,45

367,22

419,43

6322,28

6322,28

189


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AMP

AMf,l(

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c rrepexo.aoM Ha paBHOMepHbIH Mero.a

8

750,00

409,09

278,35

335,54

6714,85

6657,82

9

750,00

272,73

210,99

268,44

7107,43

6926,26

10

750,00

136,36

159,93

214,75

7500,00

7141,01

7500

7500

7499,08

7141,01

<l>YJIKIUUI AMP.

-

6eJ rrepexo.aa Ha paBHOMepHbIH Mero.a

-

c IIOMOIIJ,b10 3TOM Q>yttKIJ;lUf BbI'UfCJUllOTCH O'fllHC-

JieHMH Ha aMopTMJau;mo HM)'lll,eCTBa Ja o;:urn pacqeTHhIM rrep1m.n: paBHoMepHhIM MeTo.n;oM.

B

3TOM cJiyqae aMopTMJaUHOHHhie O'fllHCJieHMH

0.ll:MHaKOBbie, a COBOKYJIHhie O'fllHCJieHMH K KOHizy IIOCJie.n;Hero pacqeTHOfO rrepMo.n:a paBHbl CTOHMOCTH aMOpTM3MpyeMoro HMyIIJ,eCTBa. CwHTaKcwc

AMP( CTOHMOCTh;JIHKBH;:IHaH_ CTOHMOCTh;BpeMH_ 3Kcn-

JiyaTaUHH). IlpH paBHOMepHOM MeTo.n:e pacqeTa 3a KruK,llbIM ro.n: aMOpTH3all;MH cocTaBHT:

AMP(8000;500; 10) =750 ThIC. p. AMf,[(. 3Ta Q>yttKIJ;MH rroJBomi:eT

~

paccqwTaTh aMopTMJa-

UHOHHhie O'flllfCJieHMH .n:mi: 3a.n;aHHOfO rrepwo.n:a MeTO.ll:OM CyMMbl qlfceJI, KOTOpbIM xapaKTepw3yeTCH IIOCTOHHHhIM IIOHIDKeHHeM aMOpTH3all;HOHHhIX O'flllfCJieHHM If o6ecrreqlfBaeT IIOJIHOe B03MeIIJ,eHHe aMopTlf3HpyeMOM CTOHMOCTH HMyIIJ,eCTBa. AMopTM3all;HH .n:mi: 3a.n;aHHOfO rrepwo.n:a

D _ (c-s)(T-t+1)2 I T (T + 1) ,

c-

r.n:e

HaqaJibHaH CTOHMOCTb HM)'lll,eCTBa;

HM)'lll,ecrna; uww); t -

T -

s-

(12.57) OCTaToqHaH CTOHMOCTb

cpoK 3KCIIJIYaTaUHH (qwcJio rrepwo.n:oB aMopTHJa-

rrepwo.n:, Ha KOTOpbIM Tpe6yeTCH BblqlfCJIHTb aMOpTH3au;mo.

CHHTaKCHC

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pMo.n:). AMopTMJaUMH Ja rrepBhIM H TpeTHM ro.n;hI 3KCIIJiyaTau;ww cooTBeTCTBeHHO COCTaBHT:

AMf)l(8000;500; 1O;1) = 1363,64 TbIC. p.; AMf)l(8000;500; 10;3) = 1090,91 TbIC. p. <l>YJIKIUUI ,[(0.6. C IIOMOIIJ,b10 Q>yttKIJ;HH )lQJ) BbJqlfCJUllOTCH O'fllHCJieHMH Ha aMOpTH3all;H10 HM)'lll,eCTBa .n:mi: 3a.n;aHHOfO rrepwo.n:a c HCIIOJib30BaHHeM MeTo.n:a IIOCTOHHHOfO yqeTa. <l>HKCHpOBaHHaH HOpMa aMOPTH3all;Hlf

(12.58) 190


C)'MMa aMopnna1.1;in1 3a nepBbIH nepno.u 3KCIIJiyaTaUHH

m D1 = cH 12 ,

(12.59)

r.ue m - qncJIO MeCHUeB B nepBOM ro.uy aMopTH3aUHH. C)'MMa aMopTH3aUHH 3a nocJie.UHHH nepno.u 3KCIIJIYaTaUHH 12-m

Dr= (c-a)H 12'

(12.60)

r.ue a - HaKOIIJieHHaH C)'MMa aMOpTH3aUHH 3a npe,UbI.uyIUHe nepHO,Ubl. C)'MMa aMopTH3aUHH ,UJIH ocTaJihHhIX nepwo,aoB 3KCIIJIYaTaUHH

Dr= (c-a)H.

(12.61)

CnHTaKCHC Ll:OB(cTOHMOCTh;ocTaTOqHaH_CTOHMOCTh;BpeMH_3KCIIJIYaTauww;nepwo,a;MecHu). C)'MMhI aMopTH3aunw 3a nepBbIH, TpeTHH H nocJie.UHHH ro,abI 3KCIIJIYaTaUHH COOTBeTCTBeHHO COCTaBHT: Ll:0.5(8000;500;10;1)= 1936 TbIC. p.; Ll:0.5(8000;500;10;3) = 1112,36 TbIC. p.; Ll:0.5(8000;500;10;10) = 159,93 TbIC. p. <llyioo:nul MOB. 3'.ra <l>YHKUHH II03BOAAeT paccqHTaTh CYMMY aMopTH3aUHH ,UJIH 3a,UaHHOfO nepwo.ua t MeTO,UOM )'MeHbIIIaIOIUerocH ocTaTKa (npH 3TOM MO)l{}{O 3a,UaTb K03<t><t>wuneHT ycKopeHHOH aMOpTH3aUHH k TIO )'MO.JlllaHHIO paBHbIH ,UB)'M):

D _ 2(c-a)k rT .

(12.62)

CwHTaKcwc MOE(CTOHMOCTh;ocTaToqHaH_ CTOHMOcTh;BpeMH_3KcIIJIYaTaUHH;nepwo.u;Ko3<t><l>wuneHT). AMopTH3aUHOHHhie ONHCJieHHH npw ncnoJib30BaHHH ,UJIH pacqeTa MeTO,Ua .UBYKPaTHOfO yqeTa aMOpTH3aUHH (T. e. Kor.ua apf)'MeHT K03$<t>wuHeHT k= 2) IIOCTOHHHO )'MeHbIIIaIOTCH Ha npornxeHHH cpoKa 3KCIIJIYaTaUHH, HOB C)'MMe OHH IIOJIHOCTbIO He B03MeIUaIOT CTOHMOCTb HMYIUeCTBa. CYMMbI aMopTH3aUHH 3a nepBbIH H TpeTHH ro,ahI 3KCIIJIYaTaUHH rrpH pacqeTe MeTO)],OM .UBYKPaTHOfO yqeTa COOTBeTCTBeHHO COCTaBHT: M0.5(8000;500;10;1) = 1600 TbIC. p.; M0.5(8000;500;10;3) = 1024 TbIC. p. <l>y111rn,11J1 II,11;06. 3Ta <l>YHKUHH II03BOJIHeT HaxO,UHTb HaKOIIJieHHYIO 3a HeCKOJihKO nepno,aoB CYMMY aMopTH3aUHOHHhIX ONHCJieHHH. IlpH 3TOM ,UJIH pacqeTa aMOpTH3aUHH 3a Ka.:.>KJJ;blH nepwo.u HCIIOJib3yeTCH MeTO,U )'MeHhIIIaIOIUerocH OCTaTKa c npHMeHeHHeM .UBYKpaTHOfO 191


IDUI KaKoro-m-160 ,D;pyroro yqern (cM. om1cam-1e <PYHKUHH M0.6). Mo:xrno TaIOKe Ja,n;aBaTh rrepexo,D; Ha paBHOMepHbIH MeTOA pacqeTa aMOPTH3all;HH, eCJIH CTOHMOCTb aMOPTH3HpyeMoro HMYiu;eCTBa BOJMemaeTCH He IIOJIHOCTblO IIPH HCIIOJlbJOBaHHH MeTO,ll;a CHIDKa10merocH OCTaTKa. CHHTaKCHC II.LJ:0.6(11HKB_CTOHMOcTb;ocT_cToHM;BpeMH_rro11H_ aMOpT;Haq_ rrepHO,ll;;KoH_ rrepHOA;Ko3<P<PHu;HeHT;6e3_ IIepeKJIIOqeHHH). Ec11H He Ja,n;aBaTu apryMeHThI Ko3<P<PHu;HeHT H 6eJ_rrepeKJ110qeHHH, IIPH pacqeTe aMOPTHJall;HH MO:xrno HCIIOJlb30BaTb MeTO,ll; ABYKpaTHOro yqern c rrepeXO,ll;OM Ha paBHOMepHbIH. qT06bI rrepexo,D; Ha paBHOMepHbIH MeTO,ll; He ocymecTBJIHJICH, apryMeHT 6eJ_rrepeKJ110qeHHH tty:xrnO rrpHHHTb paBHbIM e,D;HHHI..l;e H Ja,ll;aTb apryMeHT K03<P<PHI..l;HeHT. CYMMbI aMopTHJau;HOHHhIX o~HcJieHHH, paccqHTaHHbie c rroMoIu;hIO <PYHKUHH AMP c rrepexo,D;oM H 6eJ rrepexo,D;a Ha paBHOMepHbIH MeTO,ll; HX yqeTa K KOHI..l;y cpoKa aMOpTHJall;HH COOTBeTCTBeHHO COCTaBHT'. II.LJ:0.6(8000;500; 10;0; 10) = 7500 TbIC. p.; Il.LJ:0.6(8000;500;10;0;10;2;1) =7141 TbIC. p., T. e. B rrepBOM CJiyqae rrpOHCXO,ll;HT IIOJIHOe BOJMemeHHe aMOpTH3all;HOHHOH CTOHMOCTH HMYiu;eCTBa, a BO BTOPOM - CYMMa aMOpTHJau;H OHHbIX O~HCJieHHH K KOHI..l;y cpoKa 3KCIIJIYaTau;HH MeHbllle aMOpTHJaI..l;HOHHOH CTOHMOCTH HMYiu;eCTBa. KOHTpOnbHble eonpOCbl

l.

KaKOBa IIOCJIC.UOBaTeJibHOCTb .ueHCTBHH rrpH pactieTe c rrpHMeHeHHeM

MaCTepa <l>YHKUHH? 2. KaKoBO Ha3Ha'IeHHe .UHaJIOffiBblX OKOH, IIOKa3aHHbIX Ha PHC. 12.2 H 12.3? 3. Ha KaKHe .UBe KaTeropHH .ueJU1TCH MeTO.llbI <l>ttuaucoBOH MaTeMaTHKH?

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.uax pactieTa: rrpou:euT, rrpou:eHTHaH CTaBKa, rrepHO,ll; Ha'IHCJICHHH, KaIIHTaJIH3aU:HH rrpou:eHTOB, uapameuHe, .UHCKOHTHPOBaHHe.

5.

KaKOBbl Cyll.l,HOCTb H Ha3Ha'IeHHe <l>HttaHCOBblX pacqeroB c npHMeHeHH-

eM MeTO.llOB no.u6opa napaMeTpoB?

6.

OnHIIIHTe nocJie.uoBaTeJibHOCTb Bbl'IHCJieHHH c npHMeueuHeM MeTO.UOB

rro.u6opa rrapaMeTpoB.

7. 8.

)J.aHTe onpe.n:eJieHHH TepMHHaM «cu:euapHH» H «cu:euapHbIH IIO.UXO.[(». KaKoBa nocJie.uoBaTeJibHOCTb .ueli:cTBHH .llJIH pa3pa6oTKH cu:euapHH?

9. )].JUI KaKHX 3a.[(a'I <l>HttaHCOBOro aHaJIH3a npHMeHHIOT Ta6JIHU:bl

IIO.llCTa-

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rnaea 13 TEXH0110fM~ Bbln011HEHM~

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1 2 3 4 5 6 7 8 9

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11 12 13

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14 15 16 17 18 19 20 21 22 23 24 25

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l

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196

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12 13

14 15 16 17 18

x

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HoMep CXCMhl

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19 20 21 22 23 24 25

x

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69


90 80 70 60 50

3

5

7

9

11

13

15

17

19

21

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200


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14.2. 06aop coepeMeHHblX nporpaMMHblX CMCTeM aBTOMaTM3MpoeaHHOro npoeKTMpoeaHM.R B cooTBeTCTBHH c H3JIOlKeHHhIMH paHee nonolKeHIDIMH c~ecrny­ iorn;He YHHBepcanhHbie (KOMMepqecKHe) CATIP-K.LI: MOlKHO OTHecTH K CATIP Ha ocHOBe 6a3 .uaHHbIX. K 3TOMY Blf.llY CATIP MOlKHO Ta:IoKe OTHecTH cHcTeMbI T-FLEX-CAD, KOMIIAC H AutoCAD. K CATIP Ha ocHoBe 6a3 3HaHHH MOlKHO OTHeCTH CHCTeMY P-CAD, pa3pa60TaHHYIO TOJibKO ,Ullil npoeKTHpOBaHIDI KOHCTPYKl.l,HH H3,UeJIHH Ha ITJiaTax c neqaTHblM MOHTalKOM. CATIP-K,LI;, KaK npasHJio, HMeIOT B csoeM cocTase: • rpa<t>JfqeCKHH pe.uaKTop c Ha6opoM 3JieMeHTOB OilHCaHIDI KOHCTPYKll.HH (6a30H HCXO,UHbIX 3JieMeHTOB); • MO.llYJIH ,Ullil pacqeTa napaMeTPOB KOHCTPYKl.l,HH (MaCCbl, ofineMa, rrpoqHOCTH H T. .u.); • IlO,UCHCTeMbl BbIITYCKa KOHCTPYKTOPCKOH .UOKYMeHTal.l,HH (K,ll;); • IlOCTnpou,eccopbl ,Ullil aBTOMaTH3HpOBaHHOro ynpaBJieHIDI TeXHOJIOrlfqeCKHM o6opy.uoBaHHeM (B OCHOBHOM 3TO ynpaBJUIIOIIJ;He nporpaMMbl ,Ullil CTaHKOB c nporpaMMHbIM ynpa:BJieHHeM). fpa$HqecKHe pe.uaKTopb1 cospeMeHHhlX CATIP-K.LI: .UOJllKHhI orneqaTb cne.uyIOrn;HM TPe6osaHIDIM: • HMeTb 0,UHHaKOBbIH BeKTOpHbIH <t>opMaT BttyTpeHHero npe,UCTaBJieHIDI rpa<t>JfqeCKOH MO,UeJIH B 03Y H <t>a:Hne; • o6ecne~Tb B03MOlKHOCTb HCIIOJib30Ba:HIDI HX ,UJUI ofibeKTOB npoeKTHpOBaHIDI co cnolKHo:H HepapXJfqeCKOH CTPYKTYPO:H; • o6ecneqHsaTb C03,UaHHe K.LI: B coorneTCTBHH c TPe6osaHIDIMH ECK.LI:; • HMeTb H36bITOqHYIO CHCTeMY KOMaH,U H HHCTPYKQHH, o6ecneqHBaIOrn;HX y.uo6CTBO BBO,Ua H pe.uaKTHPOBaHIDI; • o6ecneqHBaTb 3a,UaHHe napaMeTPOB, IlOCTOHHHbIX Ha Beeb npou,ecc BBO,Ua H pe.uaKTHPOBaHIDI; • o6ecneqHBaTb B03MOlKHOCTh pa6oThI no cxeMaM .UByxMepHo:H H TPeXMepHo:H rpa<l>HKH; • o6ecneqHBaTb B03MOlKHOCTb C03,UaHIDI H HCil0Jlb30BaHIDI 6H6JIHOTeK ofineKTOB (6a3 HJIH 6aHKOB .uaHHbIX); • o6ecneqHBaTb B03MOlKHOCTb 6a3HpOBaHIDI, MaCII1Ta6HpoBaHID1 H paccnoeHIDI o6'beKTOB npoeKTHpoBaHIDI. Ha pbIHKe nporpaMMHhlX npO.UYKTOB HaxOAAT nrnpoKH:H cnpoc nporpaMMHble CHCTeMbl ,UJUI aBTOMaTH3al.l,HH KOHCTPYKTOPCKoro npo-

201


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202


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14.3.

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npe,Ll,eTaBJIReT eo6o:H KOMnJieKe nporpaMMHhIX

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203


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204


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205


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pa3MepoB H yn-

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• PeiJaKmupo6aHue (Modify) -

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• 0KHO (Window) • Cnpa6Ka (Help) -

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npHparn;eHHe no OCH Op,llHHaT

DX, Janmy10 H npHparn;eHHe no OCH a6cu;Hcc DY - ...point @4,5. Omnocume.nbHble no/IJlpHble Koopounambt onpe,lleJIHIOT nonoxeHHe TOqKH no paCCTOHHHIO H yr.rry OT npe,llhlJlYIUeH BBe,lleHHOH TOqKH qepTexa.

,[{Jul

BBO,lla KOOp,llHHaT TOqKH, OTCTOHrn;e:H OT npe,llhlJlYIUeH Ha Ja-

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(<)

H HanpaBJieHHe B rpa,eycax -

...point

@4<45.

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Polar,

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CHCTeMa npoBO,llHT JIHHHH nocTpoeHHH no,ll yrJiaMH, Ja,ll;aHHhIMH noJlh3oBareneM. BKJIIOqHTh 3TOT pe)J(HM MO)J(HO qepeJ ,ll;HaJIOroBoe OKHO pe)J(HMOB qepqeHHH W:hIO KJiaBHIIIH

Drafting Settings

[FlO]

(MeHIO

Tools),

a TaKXe c noMo-

HJIH COOTBeTcTBy10rn;e:H KHOnKH CTPOKH COCTO-

HHHH. EcJIH Ja,ll;aHa HaqaJihHaH TOqKa, TO ,lJ;JIH BBO,lla KOOp,llHHaT TOqKH, OTCTOHrn;e:H OT Hee Ha Ja,ll;aHHOe paCCTOHHHe B Ja,ll;aHHOM HanpaBJieHHH, Heo6xo;::i;HMO cHaqana nepeMeCTHTh rpa<l>HqecKH:H KYPCOp B xenaeMOM HanpaBJieHHH, a JaTeM Ja;::i;aTh B KOMaH,llHOM CTPOKe TPe6yeMOe paCCTOHHHe - ...point 45. ,[(aHHhIM cnoco6 TaKXe npeKpaCHO pa6oTaeT B opTOfOHaJihHOM pe)J(HMe ( Ortho).

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226


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Ha-

CTpOHKa ocy:mecTBAAeTCH B .UMMOfOBOM OKHe pe)IUfMOB, Bbl3bIBaeMOM 11epe3 MeHIO IIJ.blO KOMaH,Il;hI

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Osnap

yr<.a3aHHH Ha HHAHKaTOpe B CTpOKe cocTOHHJUI pe)IUfMa paHHbIH pe)IUfM

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nH6o HaJKaTMeM rrpaBOH KHOITKH MbIIIIH rrpH

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B

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,[(IDI

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[F3]

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(BKJIIO'leHJUI RJIM BhIKJIIO'leHJUI)

IUIH COOTBeTCTBYIOIIJ.YlO KHOITKY CTpOKH

COCTOHHIUI. Ilepe'IHCnHM HHCTpyMeHTbI (napaMeTpbl) pe)IUfMa 06beKTHOH npHBH3KH (rrponHCHbIMH 6YKBaMH BbI,UeneHbI COKpameHJUI rrapaMeTpOB, BBO.UHMbIX c KJiaBHaTYPbI npH pa6oTe c KOMaH,Il;HOH CTpOKOti): • ENDpoint -

onpe.ueneHMe KOOP.UHHaT TO'leK KOHUOB oTpe3Ka

IUIH ,nyrn;

227


• MIDpoint - onpe;:i;eJieHHe Koop;:i;HHaT ToqeK cepe;:i;HHhI OTPe3Ka, ;:i;yrn, cerMeHrn JIOMaHo:H HJIH MYJibTHJIHHHH;

• CENter -

onpe;:i;eJieHHe Koop;:i;HHaT ToqeK ueHTPa oKpyxttoCTH,

;:i;yrn HJIH 3JIJIHIIca;

• NODe - orrpe;:i;eJieHHe Koop;:i;HHaT ToqeqHhIX o6'beKToB; • QUAdrant - onpe;:i;eJieHHe KOOp;:J;HHaT KBa,n,paHTHblX rnqeK, T.e. ToqeK rrepeceqeHIDI KOOp;:J;HHaTHbIX oce:H c OKP}')l(HOCTbIO, .zzyro:H HJIH 3JIJIHIICOM; • INTersection - onpe;:i;eJieHHe Koop;:J;HHaT ToqeK rrepeceqeHIDI ;:i;Byx JIHHHH, JIHHHH c .zzyro:H HJIH OKP}')KHOCTbIO, ;:J;Byx OKP}')KHOCTeH H (HJIH) .zzyr, CIIJlaHHOB, rpaHHU o6JiaCTH; • EXTension - orrpe;:i;eJieHHe KOOp;:J;HHaT ToqeK JIHHHH, HBIDIIOIUHXCH BpeMeHHblM rrpo;:i;oJDKeHHeM CYIUeCTBYJOIUHX JIHHHH H .zzyr; • INSertion - onpe;:i;eJieHHe Koop;:i;HHaT ToqeK BCTaBKH TeKcTa, aTPH6yra, <t>opMbI, onpe;:i;eJieHIDI aTPH6yra HJIH 6JioKa; • PERpendicuiar - onpe;:i;eJieHHe KOOp;:J;HHaT TOqKH Ha JIHHHH, OKpyxttOCTH, 3JIJIHIICe, CIIJlaHHe HJIH .zzyre, KOTOpaH IIPH coe;:i;HHeHHH c IIOCJie;:i;HeH TOqKoH o6pa3yeT HOpMaJib K BbI6paHHOMY o6'beKTY; • TANgent - orrpe;:i;eJieHHe Koop;:i;HHaT ToqKH Ha oKpyxttoCTH HJIH .zzyre, KOTOpaH rrpH coe;:J;HHeHHH c IIOCJie;:i;HeH ToqKoH o6pa3yeT KacaTeJibHyro K Bb16paHHOMY o6'beKTY; • NEArest - onpe;:i;eJieHHe Koop;:i;HHaT ToqKH Ha JIHHHH, .zzyre HJIH OKpyxttOCTH, HBilllIOIUeHCH 6JIIDKaHIIIe:H K II03HUHH rrepeKpeCTIDI rpa<!>HqecKoro KYPCOpa; • APParent intersection - onpe;:i;eJieHHe Koop;:i;HHaT ToqKH KIDKYmerocH nepeceqeHIDI JIHHHH H rpaHHU o6JiacTe:H; • PARallel - onpe;:i;eJieHHe KOOp;:J;HHaT TOqKH Ha JIHHHH, KOTOpaH rrpH coe;:i;HHeHHH c IIOCJie;:J;He:H TOqKo:H o6pa3yeT JIHHHIO, napaJIJieJibHYJO Bb16paHHOMY OTPeJKY. Ami o6Jiel"leHIDI onepaUHH, CBH3aHHbIX c peXHMOM 06'beKTHOH npHBH3KH, IIIHpoKo HCIIOJih3yeTCH <l>YHKUIDI AutoSnap, o6Jia,n,aIOIUaH CJie;:J;yroIUHMH CBOHCTBaMH: • npH npoxo)l{)J;eHHH rpa<!>J.lqecKoro KYPCopa B6JIH3H xapaKTepHbIX ToqeK o6'beKTa Ka)l{)J;aH H3 3THX ToqeK IIOMeqaeTCH MapKepoM, <t>opMa KOTOporo COOTBeTCTByeT THny xapaKTepHOH TOqKH. TaKHM o6pa30M IIOJlb30BaTeJIIO rrpe;:J;OCTaBillleTCH rrpaBO npe;:i;BapHTeJibHOro IIPOCMOTpa xapaKTepHbIX rnqeK; • eCJIH Ha KOpOTKOe BpeMH 3a,n,ep)!GlTb KYPCOp B6JIH3H xapaKTepHOH TOqKH o6'beKTa, PMOM c MapKepOM IIOHBHTCH BCIIJlbIBaIOIUee OKHO, B KOTOpoM 6}'.lleT co;:i;ep:>IGlThCH Ha3BaHHe Bbl,lleJieHHOH xapaicrepHOH TO~; • npH npoxo)l{)J;eHHH rpa<!>J.lqecKoro KYPCOpa B6JIH3H xapaKTepHo:H TOqKH OH aBTOMaTJ.lqeCKH «IIPHTHfHBaeTCH» K He:H, T. e. CHCTeMa He TPe6yeT OT rroJib30BaTeJIH ToqHoro rroJHUHOHHpoBaHIDI KYPCOpa. HaCTPOHKa peXHMa AutoSnap, a TaIOKe Bhl6op uBeTa H pa3Mepa MapKepa OCYIUeCTBJIHIOTCH B rroJie AutoSnap Settings BKJia,n,KH Drafting ;:J;HaJIOroBoro OKHa Options.

228


Bw6op 061.eIITOB. 06'beKTbI (rpa<t>WiecKHe npHMHTHBbI) BbI6HpaIOTC.sI .llJUI BbIIIOJIHeHH.sI CJieJlYIOIUHX .u;eiicTBHit y.u;aJieHH.sI (Erase), nepeMeIUeHH.sI (Move), KOnHpoBaHH.sI (Copy) H .u;p. 06'beKT Bb16HpaeTC.sI BBO)lOM KOOp)lHHaT, nona.u;aJOIUHX Ha Hero, Jiu6o paMKOH, oXBaTbIBaiomeH: ero. Bb16paHHble o6'beKTbl no.u;cBeqHBaJOTC.sI Ha 3KpaHe 6eJiblM nyHKTHpOM. Bh16op o6'heKTOB npeKpamaerc.si: HIDKarneM npaBoH: KHonKoH: MhIIIIH, KJiaBHIIIH [Enter] HJIH npo6eJia H JaBepIIIaeT BblilOJIHeHHe KOMaH)lbl. B cHcTeMe AutoCAD BhI6op o6'beKToB BOJMO)l{eH nepe.u; H nocJie Ja)laHH.sI KOMaH)lbl. Bw6op 061.eIITOB nepeJJ; 33,ZUUllleM KOMaJl.AW. 3TOT MeTo.u;, .si:BJI.sI.sicb craH)lapTHblM .llJUI Bcex npHJioxeHHH Windows, .u;onycKaeT .sIBHoe yKaJaHHe o6'beKTa npm.i;eJioM rpa<l>WiecKoro KYPCopa H Bbl6op o6'beKTa c IlOMOIUbIO npe.u;noJiaraeMOH paMKH. TipH Bb16ope o6'beKTa rpa<l>WiecKHH: KYPCOP ycTaHaBJIHBaIOT Ha,u; nycToH: qacTbJO qeprexa H HaxuMaJOT JieByio KHOilKY MhIIIIH. B 3TOM cnyqae CHCTeMa BOCilpHHHMaeT yKaJaHHyio TOqKY KaK OJlHY HJ BepWHH np.si:MOYfOJlbHOro OKHa Bb16opa. PaJMep paMKH OKHa onpe.u;eJI.sIeTC.sI nocJie yKaJaHH.sI BTopoH: ToqKH. EcJIH .u;HaroHaJih paMKH yKaJbIBaeTc.si: CJieBa HanpaBO, Bbl6HpaIOTC.sI o6'beKTbI, IlOJIHOCThIO paJMeCTHBIIIHec.si: B oKHe Bb16opa. EcJIH )Ke .u;HaroHaJih paMKH YKaJbIBaeTc.si: cnpaBa HaJieBO, TO BbI6HpaIOTC.sI o6'beKTbl, He TOJibKO IlOJIHOCTbIO paJMeCTHBIIIHec.si: B OKHe BbI6opa, HO H nepeceKaIOIUHe paMKY. llpe,ll;BapHTeJ11tewii aw6op 061.euoa KOMaH,ll;oii Select. Bb16paHHb1e o6'heKThI xpaH.sITc.si: B naM.sITH AutoCAD u MOfYT 6bITh ucnoJibJOBaHbI .llJUI nocJieJlYIOmero pe.u;aKTHpoBaHHH. YnpaBJieHHe pe)l{HMaMH Bb16opa ocymecTBJI.si:eTc.si: c noMOIUhJO <l>JiaxKOB naHeJIH Selection Modes BKJia.u;KH Selection )lHaJioroeoro oKHa

Options. Bw6op 061.eIITOB DOCJie 38,ll;alllUI KOMaJl,ll;W. TipaKTWieCKH Bee KOMaH)lbl pe.u;aKTHpOBaHH.sI B CHCTeMe AutoCAD CHaqaJia npe)lJlaraIOT Bb16paTh O)lHH HJIH HeCKOJlbKO rpa<l>WieCKHX o6'heKTOB .llJUI IlOCJieJlYIOIUero MaHHnyJIHPOBaHH.sI c HHMH. TipH <t>opMHpOBaHHH BbI6opa IlO.sIBJI.sieTC.sI Janpoc: Select objects: H nepeKpecTHe rpa<t>WiecKoro KYPCOpa JaMeH.sieTc.si: MaJieHbKHM np.sIMoyroJihHHKOM (npHUeJioM). Bb16HpaeMb1H: o6'heKT )lOJDKeH IlOJIHOCTbIO nona.u;aTb B rpaHHUbl np.sIMOYfOJibHHKa HJIH nepeceKaTh OJlHY HJ ero CTOpOH. TipWieM npH TOJICTblX JIHHH.sIX np.sIMOYfOJlbHHKa TOqKa Bbl6opa )lOJI)l(Ha JiexaTb Ha rpaHHUe o6'beKTa, a He BHyqm Hero. PaJMep np.si:MOYfOJihHHKa MO)l{HO peryJIHpoBaTb c noMOIUhIO CHCTeMHOH nepeMeHHOH Pickbox. Bbl)laHHhIH CHCTeMoH: Janpoc Select objects: npe.u;noJiaraeT HCnOJihJOBaHHe paJJiffqffblX napaMerpoB .llJUI onpe.u;eJieHH.sI CBOHCTB Bbl6HpaeMblX o6'heKTOB (nponHCHbIMH 6YKBaMH Bhl)leJieHbl COKpaIUeHH.sI napaMerpoB, BBO)lHMblX c KJiaBHarypbI): • Window - Bhl6HpaeT o6'beKThI, noJIHOCTbJO paJMecTHBIIIHec.si: B oKHe Bbl6opa, paJMep H pacnoJioxeHHe KOToporo onpe.u;eJI.silOT .u;ee

229


rrponrnorroJIO)l(Hhie BepnmHhI np.si:MoyroJihHOH paMKH. B 3TOM CJIY'lae He Tpe6yeTc.si: pa3MemaTh nepByro Bepunrny np.si:MoyroJihHOH paMKH B rryCTOH qacTH qepTe:lKa. • Crossing - BhI6HpaeT o6heKThI, rroJIHOCTulO pa3MeCTIIBurnec.si: B oKHe BbI6opa HJIH nepeceqeHHbie ero np.SIMOyrOJibHOH paMKOH; • Last - aBTOMaTHqecKH BbI6HpaeT o6beKT, C03,UaHHblH IIOCJie.uHHM Ha TeKYUIHM qepTe:lKe; • Group - BhI6HpaeT o6beKThI, rrpHHa.uJie:lKaUIHe cooTBeTcTByrollleH rpyrrne; • Previous - BhI6HpaeT nocJie.UHHH Ha6op o6beKToB, YKa3aHHhIH Ll:Jl.SI pe.uaKTHPOBaHH.SI, TaK:lKe MO:lKeT HCilOJib30BaThC.SI Ll:Jl.SI BhI6opa Ha6opa, npe.uBapHTeJihHO cq>0pMHpoBaHHoro KOMatt.uoif Select; •Multiple - II03BOJI.SleT BhI6ttpaTh o6beKThI rryTeM .SIBHoro HX YKa3aHH.SI, IIpttqeM BbI6paHHhie 06beKTbl He IIO.UCBeqHBalOTC.SI .uo Tex nop, IIOKa He Ha:lKaTa KJiaBHIUa [Enter]; • Fence - BhI6HpaeT o6beKThI, nepeceqeHHbie orrpe,ueJI.SleMOH IIOJib30BaTeJieM JIOMaHOH JIHHHeH BbI6opa; • WPolygon - BhI6HpaeT o6beKThI, noJIHOCTblO pa3MemeHHbie BHYTPH o6JiaCTH, orpaHJiqeHHOH 3aMKHYTOH rroJIHJIHHHeif; • CPolygon - BbI6HpaeT 06beKTu1, rroJIHOCTblO pa3MemeHHhie BHYTPH o6JiaCTH, orpaHHqeHHOH 3aMKHYTOH rroJIHJIHHHeif, H o6beKThI, KOTOpbie nepeceKalOT IIOJIHJIHHHIO; •Auto - II03BOJI.SleT BhI6ttpaTb o6beKTbI IIYTeM .SIBHOro HX YKa3aHM, a B cJiyqae YKa3aHH.SI Toqm B rrycToit qacTH qepTe:lKa o6ecrreqHBaeT Bh16op ofueKToB crroco6oM rrpe.urroJiaraeMoif paMKH; • Single - rro3BOJI.SleT BhI6paTb TOJihKO O.UHH o6beKT, rrocJie qero rrpou:ecc Bh16opa aBTOMaTHqecm npeKpamaeTc.S1; •ALL - BbI6HpaeT Bee ofueKThI, He pa3MeUieHHhie Ha 3a6JIOKHpoBaHHhIX HJIH 3aMopo:lKeHHblX CJIO.SIX; • BOX - BbI6HpaeT o6beKThI rro rrpaBHJiaM, rrpHH.SIThIM Ll:Jl.SI cnoco6a rrpe.urroJiaraeMOH paMm; • undo - II03BOJI.SleT Y.UaJIHTb H3 Ha6opa IIOCJie,UHHH .uo6aBJieHHbIH o6beKT; • Add - no3BOJI.SleT .uo6aBHTb o6beKT K TeKYUieMy Ha6opy nocJie rrpHMeHeHH.SI rrapaMeTpa Remove; • Remove - rro3BOJI.SleT Y.UaJIHTh o6beKTbI H3 TeKYUiero Ha6opa IIYTeM rroBTOpHoro .SIBHoro HX YKa3aHM. IloCJie)J,oeaTe.Jlbe1a1ii npocMOTp 061.eKTOe e1a16opa. 11Hor.ua HeB03MO:lKHO BhI6paTb o6beKT 6e3 CJIY'laHHoro YKa3aHM .upyroro 6JIH3Jle:lKaUiero 06beKTa HJIH Tpe6yeTC.SI BbI6paTb o6beKT, HaXOMUIHHC.SI no.u ,upyrHM 06beKTOM. ,[LJui: TaKHX CJIY'laeB B CHCTeMe AutoCAD npe.uycMoTpeHa B03MO:lKHOCTb U:HKJittqeCKOfO rrepe6opa 06beKTOB. IlOCJie,UOBaTeJibHOCTb ,ueifCTBHH npH 3TOM cJie.uyiomM: => ycTaHOBHTb np.SIMOYfOJibHHK rrpHueJia Ha,u HY:lKHbIM MeCTOM (B orneT Ha 3arrpoc Select object) u, Ha:lKaB KJiaBHllIY [Ctrl], meJIK-

230


H}'Tb KHOnKOH MbIIIIH. IlporpaMMa AutoCAD OTBeTHT C006lll,eHHeM

Cycle on H Bb16epeT nepBhIH o6'beKT, KOTOphIH 6y,L1,eT no,L1,cae1:1ett; => eCJIH BhI6paH He TOT o6'beKT, lll,eJIKH}'Tb KHOTIKOH MbIIIIH elll,e pa3; => HIDKaTb KJiaBHIIIy [Enter] ,ll,JUI 3aBepIIIeHIDI nepe6opa o6'beKToB, eCJIH tty)KHblH o6'heKT Bbl,ll,eJieH. IlpH BbIIIOJIHeHHH nocJie,ll,OBaTeJibHblX lll,eJI1:1KOB KHOnKOH MbIIIIH <t>aKTH1:1ecKoe pacnoJio:x<:eHHe npHI.i;eJia Bhl6opa Hecylll,ecTBeHHO. 06JiaCT'b noHCKa 3aBHCHT TOJibKO OT pacnOJIO:x<:eHIDI KYPCOpa B MOMeHT HHHllHaJIH3al.lHH npoQecca 1lHKJIH1:1ecKoro nepe6opa o6'beKTOB.

15. 7.

OcHOBHble KOMaHAbl

AutoCAD

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Ha3Ha1:1eH11e -

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3.

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Snap.

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Style - BhI6paTb IlIYIO cnoco6HocTb. 4. KoMaH,ll,a Grid.

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Model space limits: Specify lower left corner or [On/Off] <O. 0000, 0. 0000>: (Bse.n;HTe Koop.n;HHaTbI nesoro HH)l(Hero yrna HJIH ... <JHaqeHHe napaMeTpa no YMOJiqaHmo>:). BoJMO)l(Hhie OTBeTbI Ha Janpoc CHCTeMbI no YMOJiqaHmo: • ecJIH TeKYU-t:He JHaqeHIDI Koop.n;HHaT TOqKH HH)l(Hero nesoro yrna qepTe)l(a y.n;oBJieTBopHIOT noJib30BaTeAA, Ha)l(aTh KJiaBHrny [Enter]; • BBeCTH c nOMOIUblO KJiaBHaTYPbI HOBbie 3HaqeHIDI KOOp,ll.HHaT ToqKH HH)l(Hero nesoro yrna qepTe)l(a; • YKaJaTb rpact>HqecKHM KYPCOpoM Ha 3KpaHe TOqKY Hosoro nono)l(eHIDI HH)l(Hero nesoro yrna qepTe)l(a. BTOpoU: Janpoc CHCTeMbI cne.n.yroIUHii: Specify upper right corner <420.0000,297.0000>: (Bse.n;HTe KOOP.ll.HHaThI npasoro sepXHero yrna <JHaqeHHe napaMeTpa no YMOJiqaHHIO>:). BoJMO)l(Hbie OTBeTbI Ha Janpoc CHCTeMhI no YMOJiqaHHIO: • eCJIH Ha,ll.O OCTaBHTb BepXHHH npaBbIH npe.n.en qepTe)l(a 6e3 H3MeHeHIDI, Ha)l(aTb KJiaBHIIIY [Enter]; • BBeCTH c noMOIUbIO KJiaBHaTYPbl HOBbie 3HaqeHIDI KOOp,ll.HHaT TOqKH sepXHero npasoro yrna qePTe)l(a JIH6o YKaJaTb ee noJIO)l(eHHe rpact>Hl.l:ecKHM KYPCOpoM Ha 3KpaHe. ,llmI aKTHBH3aUHH KOHTpOAA CHCTeMbl 3a ycTaHOBJieHHbIMH npe.n.eJiaMH qepTe)l(a KOMaH.ll.Y Limits Heo6xo.n;HMO noBTOpHTb. B oTBeT Ha KOMaH.ll.Y Reset Model space limits: noHBHTCH Janpoc Specify lower left corner or [ON/OFF} <0.0000,0.0000>: (Bse.n.HTe Koop.n;HHaTbI nesoro HH)l(Hero yrna HJIH . . . <JHaqeHHe napaMeTpa no YMOJiqaHmo>:). BoJMO)l(Hbie oTBeTbI Ha Janpoc: • On - BKJI10qaeT KOHTpOJih co6n10.n.eHIDI npe.n.enos qepTe)l(a, coxpaHIDI HX TeKYU-t:He JHaqeHIDI; • Off - BhIKJIIOqaeT KOHTpOJih co6n10.n.eHIDI npe.n.enos qepTe)l(a. 6. KoMaH,D,a Osnap. HaJHaqeHHe - ycTaHOBHTh pe)l(HM o6'beKTHhIX npHBH30K.

232


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7.

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Zoom.

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ycTaHOBHTb MaCIIITa6, a ToqHee,

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Magnifications :U:bI -

3a,u:aTb MaCIIITa6HhlH MHO:xrn:TeJib (6oJibIIIe e,z:i;HHH-

YBeJIHqHTb, MeHbIIIe e;::i;HHH:U:bI -

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3KpaHa coxpaHReTcR;

All -

ycraHOBHTh OKHO, T. e. rpaHH:u;bl qeprexa, 3MaHHbie KOMaH,UoH:

Limits, a eCJIH qeprex BbIXO;::i;HT 3a 3TH rpaHH:u;bI, BbIBecTH Beeb qeprex; Center - 3a,z:i;aTb :u;eHTp OKHa H MaCIIITa6HbIH MHO:xrn:Tenb; Extens - BbIBeCTH MaKCHMaJibHO KpynHO Beeb qepTex; Left - 3a,z:i;aTb neBbIH HHXHHH yron H MaCIIITa6HbIH MHO:xrn:Tenb; Previous - BOCCTaHOBHTb npe;::i;blJ(yII.l,HH MaCIIITa6; Window - 3a,z:i;aTb neBblH HHXHHH H npaBbIH BepXHHH yrnbI BbIBOJl;HMoro Ha 3KpaH OKHa;

Dynamic -

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233


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239


PHc. 15.9. IlpHMep JIOMattoii JIHHHH, rrocTpoettttoii no KOMatt.ne

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co3,n;aTh a63au; TeKcTa (HeCKOJihKO CTpOK).

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241


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Puc. 15.10.

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*

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*

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242

15.11

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0 PHc. 15.11. IlepeceqettHe UHJIHH,ll;pa c TeJIOM ,neTaJIH

PHc. 15.12. ll;HJIHH.nP ornepCTIDI c ueHTPOM Ha cepe,nHHe BCIIOMoraTeJI1>Horo OTPe3Ka

PHc. 15 .13. 06oeMHfil! Mo.nen1> .nernnH

==>

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15.13; 243


15.10. nocne,qoeaTenbHOCTb paapa6oTKll'I '4epTe>KeM PacCMO'fPHM TeXHOJIOfH'IeCKHe rrpHeMhl H OCHOBHhie KOMaH,D,hl pa.3pa60TKH qeprexeH.

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.UBYMH rrpHHUHIIHaJihHO pa3HhIMH crroco6aMH: • BpyqH}'IO c HCIIOJlh30BaHHeM BCIIOMOraTeJihHhIX JIHHHH, IIOMOralOil.J;HX COOTHeCTH JIHHHH OCHOBHOro BH,lla c JIHHIDIMH .upyrHX BH,llOB; • BCTaBKOH <t>a:HJia qepTexa 0,UHOH H TOH xe MO,UeJIH, HO B pa3HhIX paKYIJcax. BTopoH crroco6 B03MOXeH

.llllil IIOCTIJOeHIDI BH,llOB H rrpoeKUHH

TOJihKO 06'beMHhIX MO,UeJieH. IlpH BCTaBKe O,UHOH H TOH xe MO,UeJIH B <t>a:HJI qeprexa He06XO,llHMO yqHThIBaTh, qTo MO,UeJih H3 <l>a:HJia Bcer.ua BCTaBJUieTC5I BH,llOM c MHpoBOH CHCTeMOH KOOP.UHHaT, T.e. BH,llOM CBepxy. BcTaBKY BH,llOB O.UHOH H TOH xe MO,UeJIH B <t>a:HJI qepTexa MO)l(HO OCYIUeCTBJUITh, HCIIOJih3Y5I 6y<l>ep o6MeHa HJIH coxpaHHB BH,ll H3,UeJIIDI KaK 6JIOK H 3aIIHCaB 6JIOK B <t>a:HJI c IIOMOil.J;hlO KOMaH,D,hl

,[lmI rronyqeHIDI

Wblock.

HeCJWJihKHX BH,llOB .ueTaJIH peKOMeH,UyeTC5I BhIIIOJI-

HHTh CJie.ll}'IOrn;He ,UeHCTBIDI

(.llllil IIOCTIJOeHIDI HCIIOJih3yeM MO,lleJih .ue-

TaJIH, IIOKa.3aHHOH Ha PHC.

15.10):

~ co3,UaTh HOBhIH <Pa:HJI Ha 6a3e C03.UaHHoro rna6JioHa

A3

(rnr.ua

06'beKTOM rrpoeKTHpOBaHIDI 6y.ueT qepTex H3,lleJIIDI); ~

HaqepTHT'h ,UBe opTOroHaJihHhie rrepeceKaIOrn;HeCH BCIIOMOraTeJih-

Hhie JIHHHH

.llllil rrpHB5!3KH K HHM BCTaBJUieMhIX BH,llOB;

~ OTKphITh <l>a:HJI MO,lleJIH H3,lleJIIDI, BhI6paB o6'beMHhIH BH,ll B KaqeCTBe OCHOBHOro, BhI,lleJIHTh ero H coxpaHHTh B 6y<l>epe o6MeHa;

~ rrepeHTH K pe.uaKTHPOBaHHlO <t>a:HJia qeprexa, HCIIOJih3Y5I IlyttKT MeHlO OICHO, H BCTaBHTh 6y<l>ep o6MeHa B TOqKY rrepeceqeHIDI BCIIOMOraTeJihHhIX JIHHHH (MaCllITa6 BCTaBKH paBeH

5);

~ rrepeHTH K OKHY MO,UeJIH H, BhI6paB IIOCJie,UOBaTeJihHO .upyrHe paK}'PChl, COBIIa,UalOrn;He c TPe6yeMhIMH BH,llaMH CBepxy H CJieBa, aHaJIOrHqHO BCTaBJUITh HX B <t>a:HJI qepTexa, rrpHB5!3hIBa5I K BCIIOMOraTeJihHhlM JIHHIDIM. BcTaBJieHHhie B <t>a:HJI BH,llhl CHaqana He COOTBeTCTB}'IOT TIJe6oBaHIDIM fOCTa, TaK KaK HX BH,llHMhie JIHHHH He HMelOT .UOCTaTOqHOH TOJIII.J;HHhl, a KPOMe Toro, OT,UeJihHhie HeBH,llHMhie pe6pa (qarn;e Bcero cpe,UHHe JIHHHH UHJIHH,llpffqeCKHX IIOBepXHOCTeli) rrpopHCOBaHhl KaK BH.llHMhie. CrepeTh 3TH JIHHHH HeB03MO)l(HO, TaK KaK rrpH 3TOM coTPeTcH Bech BH.ll. BhIXO.ll5IT H3 3TOH cHzyaUHH, BhIIIOJIH5I5I o6BO.llKY H3o6paxeHIDI JIHHIDIMH tty)l(HOH TOJIII.J;HHhl, qTo 3HaqHTeJihHO rrporn;e, qeM qepTHT'b .ueTaJih 3aHOBO. )J(eJiaTeJlhHO o6BO.UKY BhIIIOJIH5ITh Ha crreUHaJihHOM CJIOe c rrpe.uBapHTeJihHO ycTaHOBJieHHOH TOJIII.J;HHOH JIHHHH

1 MM.

Ilocne o6BO.UKH MO)l(HO Y.UaJIHTh MO,UeJih ofi'heKTa BMeCTe c Hetty)l(HhlMH JIHHIDIMH, a 3aTeM BhIIIOJIHHTh lll'fPHXOBKY ceqeHHH, HaqepTHTh

244


245


oceBhie :u .n;pyr:ue T{Je6yioII1:uecR JIMHMM, npocTaBMTh pa3Meph1. Ha p:uc.

15.14 BbIIlOJIHeHa o6BO,n;Ka OCHOBHOro BM,n;a. IlocTpoeuue ce11enuii. CTIJOMTh ceqeHM51 :u

pa3pe3bI MO)l(HO TaIOKe

,11;B}'M51 npMHU:MilMaJihHO pa3HbIMM cnoco6aM:u: • BPY'IHYJO c :ucnoJib30BaH:ueM BcnoMoraTeJibHhIX JIMHMM, noMoraIOIIIMX COOTHeCTM JIMHMM pacceKaeMoro BM,n;a c JIMHM5IMM ceqeHM5I; • :ucnoJib3Y51 KOMaH.n;hI aBTOMaT:uqecKoro nocT{JoeHM51

Slice :u Section.

BTopo:M cnoco6 B03MoxeH ,n;JI5I nocT{JoeHM51 ceqeH:u:M :u pa3pe30B TOJihKO o6'beMHhIX MO.D;eJie:M •

.[l.rni:

C03.D;aHM51 qepTexe:M npoCTblX o6'beKTOB npoeKTMPOBaHM51 M

ycKopeHM51 C03.D;aHM51 qepTexe:M qacTO np:uMeH5IlOT TOJibKO .D;ByxMep-

HYJO

rpaqmKY.

B 3TOM cJiyqae B03MO)l(HO :ucnoJih30BaH:ue TOJihKO nep-

Boro cnoco6a nocTpoeHM51 ceqeH:u:M. PaccMOTIJMM nocT{JoeH:ue ceqeHM51 .n;ByxMepHoro qepTexa. ITp:uMep IlOCT{JOeHM51 ceqeHM51 ,n;JI5I IlJIOCKOM MO.n;eJIM np:uBe,n;eH Ha p:uc.

15.15.

11.cxo,n;HOM MO,n;eJiblO 3,n;ech 5IBJI5IeTC51 M306paxeH:ue ITJiaCTMHbl c OTBepcTMeM (cM. p:uc.

15.15,

a). ITocT{JoeH:ue ceqeHM51 MJIM pa3pe3a ITJIOC-

Ko:M MO.D;eJIM o6'heKTa p~KOMeH.n;yeTC51 Bh1Il0JIH51Th B CJie.D;yIOII1eM noPMKe: :::) IlOCTpOMTb BCilOMoraTeJihHhie JIMHMM, nepneH.n;MKYJIRPHhie IlJIOCKOCTM ceqeHM51 (CM. p:uc. 15.15, 6). 06b1qHO MX CTp05IT Ha BCITOMoraTeJihHOM CJIOe, qTo6hI o6ecneqMTb y.n;o6CTBO y.n;aJieHM51 B .D;aJihHeiirneM. HaqaJia 3TMX JIMHMH ,n;oJIXHhI :ucxo,n;MTu M3 xapaKTepHbIX ToqeK ceqeHM51, .n;JI51 onpe.n;eJieHM51 KOTOpblX MCilOJib3YlOT 06'beKTHbie np:uB513KM; :::) IlOCTIJOMTb KOHTYPhI ceqeHM51, npMB513blBa51Cb K BCilOMOfaTeJihHbIM JIMHM5IM (CM. p:uc.

15.15,

n);

:::) np:u Heo6xo.n;MMOCTM c.n;eJiaTh cpacKM M CKpyrJieHMH; :::) o6BecT:u BM.n;MMbie JIMHMM ceqeHM51, :ucnoJib3YH KOMaH.n;bI MJIM

Boundary JIMH:ue:M TOJIIIIMHOM 0,7 ... 1,0 MM,

Pline

HaqepTMTh oceByio JIM-

HMIO, KOTOPYJO IlOKa He 6y.n;eT BM.n;HO, TaK KaK OHa COBna.n;aeT c BCilOMOraTeJihHOH JIMH:Ue:M; :::) 3aIIITpMXOBaTh Heo6xo.n;MMhie o6JiaCTM, MCilOJib3Y51 KOMaH.n;y

Bhatch

MJIM

Hatch;

:::) CTepeTb BCilOMOfaTeJihHble JIMHMM, npoCTaBMTb pa3Mepbl (CM. p:uc.

15.15, 2),

HaHeCTM o603HaqeHM51 q:ucTOTbI o6pa60TKM IlOBepXHOCTe:M M

npoq:ue 3HaKM. KoMaH,n;hI ,n;JI5I IlOCT{JOeHM51 ceqeHMM npe.n;cTaBJieHbI B OCHOBHOM MeHIO

C/epmumb

M KHOITKaMM naHeJIM MHCT{JYMeHTOB C/ep'teHue. nocT{JoeH:ue HOBhIX TBep.n;oTeJibHhIX

KoManoa Slice. Ha3HaqeH:ue -

o6'beKTOB nyTeM pacceqeHM51 CYII1eCTBYJOII1ero o6'heKTa IlJIOCKOCThlO. ITocJie Bhl30Ba 3TO:ii KOMaH.n;hI nORB.illleTcH Janpoc Ha Bh16op o6'beKTOB .n;JI5I pacceqeHM51

Select objects:

(Bb16ep:ure o6'beKThr:).

ITocJie Bhr6opa o6'heKToB ,n;JI5I pacceqeHM51 noHBJI5IeTc51 Janpoc Ha YKa3aH:ue napaMeTIJOB op:uemau::u:u ITJIOCKOCTM, no KOTopo:M 6y.n;eT npo:ucxo,n;MTh pacceqeH:ue

246

Specify first point on slicing plane by [Object/


0 a

6

0 6

Puc. 15.15. Ilocne.u;oBaTeJibHOCTb (a ... z) rrocTpoemra ceqeHHH .u;ByxMepttoro qepTe:lKa

yz;

Zaxis/View/ XY/ ZX/ 3 points] <3 points>: (YKIDKMTe nepBYJO TOqKY ceK}'IIJ;etl IIJiocKocrn no [06neKTY / Z ocH/Ilo BH,IJJ' /Ilo IIJIOCKOCTH XY/ITo IIJIOCKocrn yz;rro IIJiocKocrn ZX/ITo 3 ToqKaM] <Ilo YMOJIqaHHIO no 3 TOqKaM>:). Bo3MO)l(Hbl cneAYJOI..QHe BapHaHTbI napaMeTpoB opHeHTa:1.urn IIJiocKOCTH. 1. IlapaMeTp 3 points, HCnOJib3yeMbIH no YMOJiqaHmO, n03BOJUieT pacceqb o6'beKT IIJIOCKOCTbIO, 3a)l;aBaeMOH TpeMH TOqKaMH. IlocJie BblnOJIHeHIDI nepBoro 3anpoca Ha napaMeTpbI noHBHTCH BTopotl 3anpoc Specify second point on plane: (YKIDKMTe BTOPYJO TOqKY IIJIOCKOCTH:). IlocJie YKa3aHIDI BTOpotl TOqKH noHBHTCH TpeTHH 3anpoc: Specify third point on plane: (YKIDKMTe TpeTblO TOqKY IIJIOCKOCTH:). YKa3aB TpeTblO TOqKY, onpe,ll;eJIHM IIJIOCKOCTb pacceqeHIDI, nocne '!ero noHBHTCH 3anpoc Ha YKa3aHHe coxpaHHeMotl qacTH Tena: Specify a point on desired side of the plane or [keep Both sides]: (YKIDKMTe ToqKY Ha Tpe6yeMOH CTOpOHe OT IIJIOCKOCTH HJIH [coxpaHHTb o6e CTOpOHbI]:). B OTBeT Ha 3TOT 3anpoc cJie)l;yeT YKa3aTh ToqKY, np1rna)l;JleXaI..QYJO qa-

247


CTH Tena, KOTOpa.H )J,OJDKHa 6bITh coxpaHeHa (TOr)J,a )J.pyra.H qaCTb 6y.JJ.eT Y.JJ.aJieHa). EcnH )Ke c KJiaBHaTYPbI Ja,uaTb CHMBOJI B (napaMeTp keep Both sides), 6y.JJ.YT coxpaHeHbI o6e qacTH Tena. 2. IlapaMeTp Object noJBOIDieT pacceqb o6beKT no TIJIOCKOCTH, B KOTopow Jie)l{HT JaBe)J,OMO TIJIOCKHH (.JJ.ByxMepHbIH) o6'heKT. Ilocne Ja,uaHIDI 3TOfO napaMeTpa TIOHBIDleTCH JaTipoc Ha ~HHe TIJIOCKOfO o6'beKTa, onpe.JJ.eIDIIOmero TIJIOCKOCTb pacceqeHHH: Select a circle, ellipse, arc, 2D-spline, or 2D-polyline: (Bb16epHTe oKpyxttOCTb, 3JUIHnc, .JJ.yry, )J,ByxMepHbIH CTIJiaHH HJIH )J,ByxMepttyIO TIOJIHJIHHHIO:). Ilocne BbI6opa Tpe6yeMOfO o6'beKTa TIOHBHTCH paCCMOTpeHHbIH paHee Janpoc: Specify a point on desired side of the plane or [keep Both

sides]:. 3. IlapaMeTp Zaxis noJBOIDieT pacceqh o6'heKT TIJIOCKOCThIO, neprreH.JJ.HKYIDIPHOH YKaJbrnaeMOMY nonb3oBaTeJieM HanpaBJieHHIO. Ilocne Ja,uaHHH 3Toro rrapaMeTpa cne.JJ.YeT Janpoc: Specify a point on the sectron plane: (YKa)l{HTe TOqKY B ceKymeH TIJIOCKOCTH:), nocne BbITIOJIHeHHH KOTOporo TIOHBHTCH Jarrpoc Ha YKaJaHHe ToqKH )J,IDI opHeHTallHH HOpMaJIH K ceKymeii TIJIOCKOCTH: Specify a point on the 2-axis (normal) of the plane: (YKa)l{HTe TOqKY Ha HOpMaJIH K TIJIOCKOCTH:) H )J,aJiee nocJie)J,HHH paccMoTpeHHbIH paHee Janpoc: Specify a point on desired side

of the plane or [keep Both sides]. 4. IlapaMeTp View noJBOIDieT pacceqb o6'beKT TIJIOCKOCTbIO, neprreH.JJ.HKYIDIPHOH HanpaBJieHHIO npocMoTpa. Ilo Janpocy: Specify a point on the current view plane <O, 0, O>: (YKa)l{HTe ToqKY B TIJIOCKOCTH TeKYmero BH)J,a <Ilo YMOJiqaHHIO 0,0,0>:) Ja,uaIOT TOqKY, Jie)l{amyIO B YKaJaHHOH TIJIOCKOCTH, a Janpoc Specify a point on desired side of the plane or [keep Both sides] Tpe6yeT YKaJaHHH ocrnBIDieMoii qacTu o6neKTa. 5. IlapaMeTp KYnoJBOJIHeT pacceqb o6'heKT nnocKOCTbIO, naparrneJibHOH TIJIOCKOCTH XYTeKYmeM: cucTeMbI KOOP.JJ.HHaT. IloJIO)l{eHue B 3TOH TIJIOCKOCTH onpe)J,eJUieTCH npHHa)J,Jle)l{amew ew TOqKoH, YKa3bIBaeMOH B oTBeT Ha Janpoc: Specify a point on the XY-p/ane <0,0,0>: (YKa)l{HTe ToqKY a TIJIOCKOCTH XY <ITo YMOnqaHHIO 0,0,0>:). KaK H Bee OCTa.JibHbie napaMeTpbI, rrapaMeTp KY Tpe6yeT YKaJaHHH OCTaBJUieMOH qacTH o6'beKTa. 6. IlapaMeTp Y.Z TI03BOJUieT pacceqb 06'beKT TIJIOCKOCTbIO, naparrJieJibHOH TIJIOCKOCTH Y.Z TeKymeH CHCTeMbl KOOP.JJ.HHaT. IloJIO)l{eHHe 3TOH TIJIOCKOCTH onpe.JJ.eIDieTcH npHHa)J,Jle)l{ame"H e"H TOqKoii, YKaJblBaeMOH B oTBeT Ha Janpoc: Specify a point on the Y.Z-plane <0,0,0>: (YKa)l{HTe TOqKY B TIJIOCKOCTH Y.Z <Ilo YMOJiqaHHIO 0,0,0>:). KaK H Bee ocTa.JibHbie napaMeTpbl, napaMeTp Y.Z Tpe6yeT YKaJaHHH OCTaBJUieMOH qacTH o6beKTa. 7. IlapaMeTp ZX rroJBOIDieT pacceqb o6'beKT TIJIOCKOCTbIO, naparrneJibHOH TIJIOCKOCTH TeKymeH CHCTeMbl KOOP.JJ.HHaT. IloJIO)l{eHHe 3TOH TIJIOCKOCTH onpe.JJ.eIDieTCH npHHa)J,Jle)l{ame"H e"H ToqKoii, YKaJbIBaeMo"H B oTBeT Ha Janpoc: Specify a point on the ZX-plane <0,0,0>: (YK~ TOqKY B TIJIOCKOCTH <ITo YMOJiqaHHIO 0,0,0>:).

zx

zx

248


KoManiJa Section.

Ha.3Haqem1e -

nocTpoeHHe o6'heKTa THna

nyreM pacceqeHIDI TBep;:i;oro TeJia IIJIOCKOCThIO. Mcxo;:i;Hoe Teno He pe;:i;aKTHpyeTc.si, HO co3;:i;aeTc.si qacTh

region

(region),

HBJIHIOIUa.sic.si ceqeHHeM 3TOro Tena YKa3aHHOH IIJIOCKOCThIO. ,LI;atttta.si KOMaH;:i;a HBJIHeTC.sI OCHOBHhIM cnoco6oM nOCTpOeHIDI ceqeHHH H pa3pe30B TBep;:i;hIX TeJI B npocTpaHCTBe MO)l;eJIH. Ilocne Bhl30Ba KOMaH;:i;bl 3a,n:a10T HCXO)l;HhIH o6'heKT B OTBeT Ha 3aIIpoc: Select objects:. Ilocne BbI6opa o6'heKTOB no.siBJIHeTc.si 3anpoc:

Specify first point on Section plane by [Object/ Zaxis/ View/ XY/ YZ/ ZX/ Jpoitsl <Jpoints>: (YKIDKHTe nepBYIO ToqKY Ha ceKYIUe:H IIJIOCKOCTH no [06'heKTY / Z oc11/

Ilo BH;:i;Y/Ilo IIJIOCKOCTH XY/Ilo IIJIOCKOCTH fZ/Ilo IIJIOCKOCTH Ilo 3 TQqKaM] <Ilo YMOJiqaHHIO no 3 TOqKaM>:).

ZX/

Bo3MO)l(Hhl cJieAYIOIUHe aapttaHThI napaMeTpOB ceqeHIDI: 1. IlapaMeTp 3 points, HCnOJib3yeMbIH no YMOJiqaHHIO, n03BOJIHeT nOCTpOHTh ceqeHHe o6'beKTa IIJIOCKOCThIO, 3a,n:aaaeMOH TpeM.sI ToqKaMH nocpe;:i;CTBOM OTBeTOB Ha CJieAYIOIUHe 3aIIpOChI:

Specify first point on slicing plane by [Obiect/ Zaxis/ View/ XY/ fZ/ ZX/ 3 points] <3 points>: (YKIDKHTe nepBYIO TOqKY y, Jie)KaIUYIO B IIJIOCKOCTH pacceqeHIDI:);

Specify second point on plane:

(YKIDKHTe BTOPYIO TOqKY Ha IIJIOCKO-

CTH:);

Specify third point on plane:

(YKIDKHTe TpeThIO TOqKY Ha IIJIOCKO-

cTH: ).

2.

IlapaMeTp

Object no3BOJIHeT

nocTpOHTh ceqeHHe o6'beKTa IIJioc-

KOCThIO, B KOTopo:H Jie)f(HT 3aBe)l;OMO IIJIOCKHH (AByxMepHbIH) o6'beKT. Ilocne 3a,n:aHIDI 3Toro napaMeTpa no.siBJIHeTc.si 3anpoc Ha YKa3aHHe IIJIOCKoro o6'heKTa, onpe;:i;eJIHIOIUero IIJIOCKOCTh pacceqeHIDI: Select a

circle, ellipse, arc, 2D-sp/ine, or 2D-po/yline: (Bb16epnre OKP~OCTh, 3JIJIHnc, ;zyry, ;:i;ayxMepHblH CIIJiaHH HJIH )l;ByxMepHYIO noJIHJIHHHIO:). 3. IlapaMeTp Zaxis no3BOJIHeT nocTpOHTh ceqeHHe o6'beKTa IIJIOCKOCThIO, nepneH;:i;HKYJIHPHOH YKa3bIBaeMOMY nOJih30BaTeJieM HanpaBJieHHIO. Ilocne 3a,n:aHHH 3Toro napaMeTpa cne;:i;yeT 3arrpoc: Specify a point on the section plane: (YKIDKHTe TOqKY B CeKYIUeH IIJIOCKOCTH:), IIOCJie BblIIOJIHeHIDI KOTOporo no.siBJIHeTC.sI 3anpoc Ha YKa3aHHe TOqKH .ll:Jl.sI optteHTa:QHH HopMaJIH K ceKYIUe:H IIJIOCKOCTH: Specify a point on the Z-axis (normal) of the plane: (YKIDKHTe TOqKY Ha HOpMaJIH K IIJIOCKOCTH:).

4. IlapaMeTp View n03BOJIHeT nOCTpOHTh ceqeHHe o6'beKTa IIJIOCKOCThIO, rrepneH;:i;HKYJIHPHOH HanpaBJieHHIO npocMoTpa. B OTBeT Ha 3anpoc: Specify a point on the current view plane <0,0,0>: (YKIDKHTe TOqKY B IIJIOCKOCTH TeKYIUero BH;:i;a <Ilo YMOJiqaHHIO 0,0,0>:) 3a,n:aIOT ToqKY, Jie)KaIUYIO B YKa.3aHHo:H IIJIOCKOCTH. 5. IlapaMeTp XY no3BOJIHeT nocTpOHTh ceqeHHe o6'beKTa IIJIOCKOCThIO, rrapaJIJieJihHOH IIJIOCKOCTH XY TeKYIUe:H cHcTeMhI Koop;:i;HHaT. IloJIO)KeHHe 3TOH IIJIOCKOCTH onpe;:i;eJIHeTC.sI npHHa;:i;Jie)Kame:H e:H Toq-

249


KOH, yKa3hIBaeMo:H B orneT Ha 3arrpoc:

<0,0,0>:

(YKIDKMTe Toqicy B IIJIOCKOCTH

6.

17 II03BOIBleT

IlapaMeTP

Specify a point on the XY-p/ane XY <ITo YMO.Jl'laHHIO 0,0,0>:).

IIOCTPOHTh ceqeHHe o6beKTa IIJIOCKO-

CThIO, rrapaJUieJihHOH IIJIOCKOCTH 17 TeKyll.(eH CHCTeMhI KOOp,ll,HHaT. IloJIO)KeHHe 3TOH IIJIOCKOCTH orrpe,ll,eJUieTCH rrpHHa)J,Jle)l{arn;e:H e:H ToqKOH, yKa3hIBaeMo:H B oTBeT Ha 3arrpoc:

<O,ljO>:

7.

(YKIDKMTe Toqicy B IIJIOCKOCTH

IlapaMeTP

Specify a point on the 17-p/ane 17 <Ilo YMO.Jl'laHHIO 0,0,0>:).

zx II03BOJUieT IIOCTPOHTh ceqeHHe 06beKTa IIJIOCKOzx TeKyll.(eH CHCTeMhI KOOp,ll,HHaT.

CThIO, rrapaJUieJihHOH IIJIOCKOCTH

IloJIO)KeHHe 3TOH IIJIOCKOCTH orrpe,ll,eJUieTCH rrpHHa)J,Jlexarn;e:H e:H ToqKOH, yKa3hrnaeMo:H B orneT Ha 3arrpoc:

<0,0,0>:

(YKIDKMTe TQqKY B IIJIOCKOCTH

Specify a point on the ZX-plane

zx <ITo YMOJiqaHHIO 0,0,0>:).

IlOCTPOeHHOe ceqeirne (o6beKT THIIa

region),

pa3BOpaq11BaIOT TaK,

qTo6bI rrpOH3BOJihHO opHeHTHpOBaHHOe ceqeHHe rrepeIIIJio B IIJIOCKOCTh

XY )],JUI IIOCJie,lJyIOrn;e:H

BCTaBKH ero B qepTex.

llOCTpOeHHe p33pe308 061.eMHblX MO,ll;eJieii. IlOCTPOeHHe pa3pe3a HJIH ceqeHHH o6beMHOH MO)J,eJIH rroxoxe Ha IIOCTPOeHHe BH,ll,a.

,[(ml

IIOCT-

poeHHH pa3pe3a Heo6XO,ll,HMO BhIIIOJIHHTh CJie,lJyIOrn;He ,ll,eHCTBHH:

~ OTKphITh <t>a:HJI qepTexa; ~ OTKphITh <t>a:HJI MO,ll,eJIH H3,ll,eJIHH H BhI6paTh IIO)J,XO,ll,HIIl;HH JD BH,ll,, Ha KOTOpOM IIJIOCKOCTh ceqeHHH BhlpO)l{)J,aeTCH B JIHHHIO; ~ pa3pe3aTh MO)J,eJih IIJIOCKOCThlO ceqeHHH, HCIIOJih3YH KOMaH,ll,y

Slice (Ho;JJC); ~ HCIIOJih3YH CHOBa KOMaH,ll,y S/isce, 3a)J,aTh IIJIOCKOCTh ceqeHHH, 17, BhI6paB B KaqecTBe TOqKH, qepe3 KOTOpyIO rrpOXO,ll,HT 3Ta IIJIOCKOCTh, u;eHTP OTBepCTHH; ~ Bhl)J,eJIHTh rrpaByIO qacTh pacceqeHHOro TeJia, rn;eJIKHYB KHOIIKOH MhIIIIH crrpaBa OT IIJIOCKOCTH ceqeHHH; ~ BhI6paTh BH,ll,, napaJUieJihHhIH IIJIOCKOCTH ceqeHHH, HanpHMep napaJUieJihttyIO IIJIOCKOCTH

BH,ll, C3a,ll,H;

~ Bhl)J,eJIHTh BhI6paHHhIH BH,ll, H coxpaHHTh ero B 6y<l>epe o6MeHa; ~ rrepeHTH K pe,ll,aKTHpOBaHHIO <t>a:HJia qepTexa, HCIIOJih3YH rryHKT BcmaBumb 6yrjJep o6Mena MeHIO 0Kno; ~ o6BeCTH pa3pe3. IIITPHXOBaTh ceqeHHe peK0MeH,L1,yeTCH B <t>a:HJie qepTexa, TaK KaK npH BCTaBKe rpa<t>ffqeCKoro rrpHMHTHBa CJIO)KHO BhI,ll,epxaTh IIIar IIITPHXOBKH. KoMall,ll;bI mTPHXOBKH. ,[(ml BhIIIOJIHeHHH IIITPHXOBKH rrpHMeHHIOT CJie,lJyIOrn;He KOMaH)J,hl. KoManiJa Hatch. HaJHaqeHHe -

HaHeceHHe IIITPHXOBOK Ha qepTe-

xax. BhIIIOJIHeHHe KOMaH,ll,hI ocyrn;ecrnmi:eTcH nocpe,ll,CTBOM OTBeToB Ha CJie,lJyIOrn;He 3aIIpOChI:

1. Enter a pattern name or[?/ Sol id/ User defined] <USER>:

(BBe,ll,H-

Te HMH o6pa3u;a IIITPHXOBKH HJIH ... <rrapaMeTP no YMOJiqaHHIO>:). IlpH BBe,ll,eHHH HMeHH cyrn;ecTByIOrn;ero o6pa3u;a IIITPHXOBKH CHCTeMa HHHll;HHpyeT CJie,lJyIOrn;He ,ll,OIIOJIHHTeJihHhle 3aIIpOChl.

250


2. Specify a scale for the pattern <J.0000>: (3a,nati:Te MacrnTa6 LLJUI 06pa3ua IIITPHXOBKH <3HaqeHHe no YMOJPiaHHio>:). IlpH 3TOM BIDKHO yqeCTh copa3MepHOCTh BBOllHMOfO 3HaqeHIDI c pa3MepaMH qepTe)l{a H )')Ke npHID.!ThIMH noao6HbIMH K03Q:>Q:>HI.lHeHTaMH ,lLJUI THnOB JIHHHM, pa3MepoB 6)'KB, CTPeJioK H npoq11x BeJIM:qHH, onpeaeJU1eMhIX npH co3llaHHH pa6oqeti: cpeah1. 3. Specify an angle for the pattern <O>: (3a,nati:Te yron HaKJioHa 06pa3ua IIITPHXOBKH K ropH30HTaJIH B rpa,uycax <JHaqeHHe no YMOJiqaHmo>:). 06hiqHo 3TO 3HaqeHHe Ja,naeTcH HYJieBhIM, TaK KaK Heo6xoaHMhIM HaKJIOH IIITPHXOBKH BbI6paH B caMOM o6pa3J.le. 4. Select objects to define hatch boundary or <direct hatch>: (Bb16ep11Te o6'beKThI, qTo6hI onpeaeJIHTh rpaHmzy IIITPHXOBKH HJIH <napaMeTP no YMOJPiaHmo>:). 5. Select objects: (Bb16epHTe 06'beKTh1:) B oTBeT Ha 3TOT Janpoc MO)l{HO yi<:a3aTh o6'heKThI, COCTaBJIHIOII1He rpaHHizy o6JiaCTH IIITPHXOBKH (KOTOpbie )J;OJI)l{Hhl 6bITh npeaBapHTeJibHO BbJqepqeHbl H npeacTaBJUITh co6oti: 3aMKHyryIO JIHHHIO), HJIH Ha)l{aTb KJiaBHury [Enter] MH yi<:a3aHIDI rpaHHJ.lhl IIITPHXOBKH ee xapaKTepHbIMH TOqKaMH. IlpH 3TOM CHCTeMa HHHJ.lHHpyeT CJieayIOII1He aonOJIHHTeJihHhie 3anpOChI: Retain polyline boundary? [Yes/ No} <M>: (CoxpaHHTh rpaHHIJY KaK noJIHJIHHHIO? <napaMeTP no YMOJPiaHmo>:); Specify start point (3a,nati:Te HaqaJihffYIO TOqKY:); Specify next point or [Arc/ Close/ Length/ Undo]: (3a,nati:Te cneayIOIIIYIO roqKY HJIH [,[(yra/3aMKHyrh/ ,[(JIHHa/0TKa6]:). Koop)J;HHaThl CJieayIOII1HX ToqeK CJieayeT BBOllHTh, HCnOJih3YH napaMeTPhI, noao6Hhie napaMeTPaM KOMaffllhI Pline: Specify next point or [Arc/ Close/ Length/ Undo]: (3a,naii:Te napaMeTP Close LLJUI JaMhIKaHIDI rpaHHqHoti: JIHHHH IIITPHXOBKH:); Specify start point for new boundary or <apply hatch>: (3a,nati:re HaqaJihHyIO TOqKY HOBOM rpaHM:qHOM JIHHHH HJIH Ha)l{MHTe KJiaBHury [Enter] ,lLJUI BhIITOJIHeHIDI IIITPHXOBKH:). Ecn11 B KOMaHae Hatch BhI6HpaeTcH napaMeTP no YMOJPiaHHIO, CJieayeT Ha)l{aTb KJiaBHury [Enter] ,lLJUI HBHOfO 3a,naHHH napaMeTPOB IIITPHXOBKH, npH 3TOM CHCTeMa HHHI.lHHpyeT CJieayIOII1He aonOJIHHTeJibHhie JanpOChI: Specify angle for crosshatch lines <45>: (3a,nati:Te yron HaKJioHa JIHHH:ti: IIITPHXOBKH K ropH30HTaJIH B rpa,nycax <JHaqeHHe no YMOJPiaHHIO>:); Specify spacing between the lines <J.000>: (3a,nati:Te paccTOHHHe Me)l{llY JIHHIDIMH IIITPHXOBKH <JHaqeHHe no YMOJPiaHmo>:); Double hatch area? [Yes/ No} <N>: (IIITPHXOBaTh KpecT-HaKpecT?); Select objects: (Bb16epHTe o6neKThI:). B oTBeT Ha 3TOT Janpoc MO)l{HO yi<:a3aTh o6'heKThI, COCTaBJU1IOII1He rpaHHizy o6JiaCTH IIITPHXOBKH (KOTOpbie )J;OJI)l{Hhl 6bITh npeaBapHTeJibHO BhJqepqeHbl H npeacTaBJUITh 251


co6oit 3aMKlfYTY10 JUIHHIO), HJIH HIDKaTb KJiaBHIIIY [Enter] )Lilli onpe)leJieHIDI rpaHHU: IIITpHXOBKH ee xapaKTepHbIMH TOqKaMH. TipH 3TOM CHCTeMa HHHU:HHpyeT CJieJzyIOIIJ;He )lOnOJIHHTeJibHbie 3anpocb1:

Retain polyline boundary? [Yes/ No]

<M>: CoxpaHHTh rpaHHu:y KaK

noJIHJIHHHIO? <napaMeTp no YMOnqaHmo>:);

Specify start point (3a;::i;aitTe HaqaJibHYIO TOqKY:); Specify next point or [Arc/ Close/ Length/ Undo]: (3a;::i;aitTe

I

I

cne;::i;yIO-

I

IIJ;yIO ToqKY HJIH [.[(yra 3aMKffYTh .[(JIHHa OrKaT]:). Koop)lHHaTbl CJieJzyIOIIJ;HX TOqeK BBO)lHTb, TaIOK:e HCnOJib3YH napaMeTpbl, no)lo6Hbie napaMeTpaM KOMaH)];hI

Pline .

.LJ:pyrHe B03MO)l(Hble OTBeTbl Ha nepBbIH Janpoc CHCTeMbl: ? -

HCnOJib3yeTCH, eCJIH He06XO)lHMO npoCMOTpeTb cnHCOK cyiu:e-

CTBYIOIIIHX o6pa3U:OB IIITpHXOBOK, npH 3TOM CHCTeMa HHHU:HHpyeT cneJzyIOIIJ;HH )lonoJIHHTeJibHhlli Janpoc:

Enter pattem(s) to list<*>:

(BBe-

llHTe HMeHa o6pa3U:OB <napaMeTp no YMOJiqaHHIO>:);

s-

HCnOJib3yeTCH, ecJIH He06XO)lHMO BbIIlOJIHHTb 3aJIHBKY o6nac-

TH, npH 3TOM CHCTeMa HHHU:H.HpyeT )lOnOJIH.HTeJibHbie JanpOCbI:

objects to define hatch boundary or <direct hatch>:

Select

(Bb16ep.HTe o6beK-

ThI, qT06b1 onpe)leJIHTh rpaHHu:y IIITpHXOBKH HJIH <napaMeTp no YMOJI-

Select objects: (Bb16epHTe 06beKTu1:). KoManiJa Bhatch. HaJHaqeHHe - HaHeceHHe IIITpHXOBOK Ha qepTe-

qaH.HIO>:) H

)l{ax c HCnOJib30BaHHeM L{.HaJIOfOBOro OKHa. 3Ta KOMaH)];a HBJIHeTCH aHanoroM KoMaH)];bI

Hatch.

KoMaH)];a OTKpbIBaeT L{.HaJIOrOBOe OKHO, c nOMOIIIblO KOToporo MO)l(JIO BbIIlOJIHHTb IIITpHXOBKY 3aMKffYTblX o6JiaCTeH, orpatt}fqeHHblX noMaHblMH JIHHIDIMH, ;::i;yraMH, OKP~OCTHMH, 3JIJIHncaMH, cIIJiaitHaMH, 6noKaMH. OKHo co)lep)l{HT ceMb KHonoK, none

Ebtcmpo H Y11y"tweHHblU

)lBe BKJiaAKH

KoMno3umHO.Jl H

(nepBaH .HMeeT cpe)lCTBa .lLlll aB-

TOMaT}fqecKoro onpe)leJieHIDI KOHTYPa IIITp.HXOBKH H )laeT B03MO)l{HOCTb ee npe)lBapHTeJibHOro npOCMOTpa, a BTOpaH -

no3BOJIHeT

yn-

paBJIHTb MeTO)lOM onpe)leJieHIDI rpaH.HU: .H )lOnOJIHHTeJlbHbIMH napaMeTpaM.H IIITpHXOBKH). BKJia;::i;Ka

1.

Y11y"lweHHblU coii:ep)l{HT qeTbipe naHeJIH. Cmwzb o6HapyJK:emm pa3pbl606 wmpuxo6KU c

TiaHeJib

TpeMH nepe-

KJiioqaTeJIHMH:

HopMOllbHblU -

BKJiioqaeT CTHJib IIITpHXOBKH, H3MeHHIOIIIHH ee pe-

)l{HM np.H nepeceqeHH.H BttyTpeHH.HX rpaHHU: o6JiaCT.H IIITpHXOBKH (HCnoJib3yeTCH no YMOnqam110);

BHewHuu -

BKJIIOqaeT CTHJib IIITpHXOBKH, rrp.H KOTopoM IIITplfXYeTCH

TOJlbKO BHeIIIHHH 3aMKH}"frul o6JiaCTb (AO rrepBOH BHYTpeHHeH rpaHHu;bI);

Hmopupo6amb- BKJIIOqaeT CTHJib IIITpHXOBKH, np.H KoropoM IIITpHxyeTCH BCH o6JiaCTb BlfYTP.H KOHTYPa (BttyTpeHH.He rpaHHU:bl HrHOp.HPYIOTCH). 2. TiaHeJib

Tun o6oeKma

c pacKpb1Ba101IIHMCH CIIHCKOM, KOTOpbIH

noJBOJIHeT YKaJaTh, B KaKoM B.Hlle coxpaHHTb rpaHHu:y IIITpHXOBKH:

252


KaK IIOJIHJIHHHIO HJIH KaK o6JiaeTb. KpoMe Toro, B IIOJie 3TOH rraHeJIH pa3MemeH <l>JIIDKOK CoxpaHumb zpaHUU,bl. 3. IlaHeJib I'paHUU,bl e paeKPbIBa10m11MeH eri11eKOM, orrpe,ll;eAAIOW:HM Ha6op o6neKTOB .D:AA 3a.D:aHHH llITpHxyeMo:H o6JiaeTH. KpoMe Toro, Ha 3TOH rraHeJIH pa3MemeHa KHOIIKa [HOBbie], e IIOMOIIJ;blO KOTOpo:H IIOJib30BaTeJIIO rrpe,ll;OeTaBJIHeTeH B03MO)l(HOeTb HBHO BbI6HpaTb 06'beKTbl, orrpe,ll;eJIHIOIIJ;He rpaHHIJ;bl llITpHxyeMOH o6JiaeTH. 4. IlaHerrb MemoiJ o6Hapy:>K:eHUR zpaHuu, wmpuxo6KU, yrrpaBMIOW:aH MeTO,ll;OM IIOHeKa rpaHHU: BttyrpH Bbl,ll;eJieHHOH o6rraeTH, e ,ll;B}'MH rrepeKJI10qaTeJIHMH: 3anoAHRmb - orrpe,ll;eJIHIOIIJ;HH H30JIHpOBaHHble yqaeTKH KaK rpaHffqHble o6neKThl; Jly'le60U - HeKJI10qa10m11:H H30JIHpoBaHHhle yqaeTKH. PaeeMOTpHM Ha3HaqeHHe KHOIIOK .D:HarroroBoro oKHa Hlmpuxo6Ka. KHorrKa [Bb16paTb ToqKH] - 06eerreq11BaeT aBTOMaTffqeeKoe orrpe.D:erreHHe rpaHHIJ;bI o6rraeTH llITpHXOBKH. EeJIH HIDKaTb 3TY KHOIIKY rroerre BbI6opa 06pa3u;a llITpHXOBKH H ero yeTaHOBOK, TO eHeTeMa Bbl,ll;aeT 3arrpoe: Select internal point (YKIDKHTe TOqKY BHYfPH o6rraeTH, KOTOpaH ,ll;OJDKHa 6bITb 3allITpHXOBaHa:). IlOJI}"IHB KOOp,ll;HHaTbl Tpe6yeMOH TOqKH, eHeTeMa eoo6maeT IIOJib30BaTeJIIO 0 eBOHX ,ll;eHeTBIDIX: Selecting everything (Bb1611pa10 Bee); Selecting everything visible (Bb1611pa10 Bee, qTO BIDKY); Analyzing the selected data ... (AlrnrrH3HPYIO Bhl6paHHbie .D:aHHhle ... ); Analyzing internal islands (AHarrH3HPYIO BttyrpeHHHe 113orr11poBaHHbie yqaeTKH). BbIIIOJIHHB He06XO,ll;HMbie paeqeTbl, eHeTeMa BHOBb Bbl,ll;aeT 3aIIpoe: Select internal point (YKCDKHTe TOqKY BttyrpH o6JiaeTH, KOTOpaH ,ll;OJDKHa 6bITb 3allITpHXOBaHa:), B OTBeT Ha KOTOpblH eJie,ll;yeT YKa3aTb erre.D:YIOIIJ;YIO TOqKY HJIH HIDKaTb KJiaBHllIY [Enter] .D:AA 3aBepllleHHH Bhl6opa. KHorrKa [BhmerrHTh o6neKThI] - 06eerreq11BaeT Bhl6op o6neKTOB, orrpe,ll;eJIHIOIIJ;HX o6rraeTb llITpHXOBKH, .D:AA qero MO)l(HO HeIIOJib30BaTb Bee H3BeeTHbie IIOJib30BaTeJIIO erroeo6bI. 3aBepllleHHe rrpou;eeea Bh160pa rrpoHeXO,ll;HT rrpH HIDKaTHH KJiaBHllIH [Enter]. KHorrKa [Y.D:arrHTh o6'heKThI llITpHXOBKH] - 06eerreq11BaeT B03MO)l(HOeTb Y.D:aJieHHH rr106oro H3orr11poBaHHoro yqaeTKa BHYfPH 06rraeTH llITpHXOBKH. (Y.D:aJIHTb BHellIHIOIO rpaHHU:Y o6rraeTH llITpHXOBKH HeJib3H.) KHorrKa [IlpoeMOTp BhmerreHHoro] - 06eerreq11BaeT rrpoeMoTp H rrpoBepKY Beex OT06paHHhlX o6rraeTeH llITpHXOBKH. KHorrKa [Haerre,ll;OBaHHble eBoiieTBa] - HeIIOJib3yeTeH .D:AA KOIIHpoBaHHH eBOHeTB eymeeTBYJOme:H llITpHXOBKH H rrpHMeHeHHH ee K TeKyrn;e My 06pa3u;y. KHorrKa [,[l;BOHHaH] - 11errorrb3yeTeH .D:AA BhIIIOJIHeHHH llITpHXOBKH KPeeT-HaKPeeT.

253


KHorrKa [Tipe;::i:BapttTeJihHhIH rrpocMoTp] -

o6ecrreqHBaeT rrpe;::i:Ba-

pHTeJihHhitl: rrpOCMOTp IIITpHXOBKH. none

KoMn03UmHO.fl

co.n:ep)l{}IT ,n:Be KHOIIKH BhI6opa [Accou;HaTHB-

Ha.H] H [Heaccou;HaTHBHaH], KOTOPhie II03BOJIHIOT C03,n:aTb COOTBeTCTBeHHO accou;HaTHBH)'IO (aBTOMaTM:qeCKH KOppeKTHpyeM)'IO MH 3aIIOJIHeHHH MO;::i:mpM:u;HpOBaHHhIX KOH'rypoB) H Heaccou;HaTHBH)'IO IIITpHXOBKH.

IlpOCT3HOBKa p33Mepoe. eTCH KOMatt;::i:a

,nm.. CTaphlX BepCHH AutoCAD HCIIOJih3y-

Dim. B 3TOM cnyqae cHcTeMa rrepeBO.D:HTCH B crreu;HaJih-

HhIH pe)l{}IM rrpOCTaBJieHHH pa3MepoB H BMeCTO 3arrpoca Ha rrpOCTYJO KOMatt;::i:y pa3MepoB

(Command>) BhIBO.D:HT 3a11poc 110,n:KoMatt.n: rrpocTaBJieHHH Dim> HJIH P03Mep>. B 3TOM pe)KHMe MO)l(HO 3a,z:i:aBaTh KOMaH-

.D:hI pHCOBaHHH pa3MepoB HJIH KOMatt;::i:bl H3MeHeHHH CTHJIH rrpoCTaBJieHHH pa3MepoB, HarrpHMep:

Exit -

BhIHTH H3 rrpocTaBJieHHH pa3MepoB B 06h11IHhIH pe)KHM;

Hor - rrpocTaBHTh roptt30HTaJihHhIH pa3Mep; Vert - rrpocTaBHTh BepTHKaJihHhIH pa3Mep; Diam - rrpocTaBHTh ;::i:ttaMeTp; Rad -

rrpocTaBHTh pa,z:i:ttyc;

Variables -

rrocMOTpeTh/H3MeHHTh rrepeMeHHhie CTHJIH pa3Me-

poB (pa3Mepbl CTpeJIOK, BhICOTY H CTHJih TeKCTa, pacrrOJIO)l(eHHe TeKCTa H T.,n:.).

B

coBpeMeHHhIX BepcHHX AutoCAD

IIOJih3YJOTCH rryHKTOM Memo BM pa3Mepa -

Pa3Mep,

.D:JIH rrpocTaBJieHHH pa3MepoB

BhI6ttprui: B Bhma,z:i:m01u;eM MeHIO

JIHHeHHhIH, pa,z:i:HaJihHhIH, ;::i:HaMeTp H T.;::i:. TiocJie Bhl-

6opa BH;::i:a pa3Mepa Ha 3arrpoc CHCTeMbI YKa3hIBaIOT ,n:Be ToqKH, pa3Mep Me:>K;::i:y KOTOphIMH Heo6xo;::i:HMO IIpOCTaBHTh, HJIH OKpyxttOCTh JIH6o ;::i:yry,

.D:JIH KOTOphIX Heo6xo,n:HMO rrpoCTaBHTh pa,z:i:HyChl. TipH Bb16ope

TOqeK peKOMett;::i:yeTCH IIOJih30BaTbCH o6oeKTHOH rrpHBH3KOH. 3aTeM BBO.D:HTCH MeCTOIIOJIO:>KeHHe pa3MepHOH JIHHHH c pa3MepHhIM TeKCTOM.

Ilpe3eHTa~ npoeKToe.

f pyrma

KOMatt;::i: co3,n:aHHH rrpe3eHTau;tttl:

1103BOJIHeT rrpe,n:BapHTeJibHO roTOBHTh H306pa:>KeHHH

.D:JIH ,n:eMOHCTpa-

ll;HH CJIO)l(JfhlX rrpoeKTOB, 3aHHMaIOmHX 60JihIIIOH o6oeM orrepaTHBHOH H .D:HCKOBOH rraMHTH, TaK KaK Ha BhIIIOJIHeHHe TaKHX orrepau;Htl:, KaK 3arpy3Ka qepTe:>Ka, H3MeHeHHe MacIIITa6a, 3aKpacKa (pett;::i:epirnr), IIOBOPOT Mo,n:eJIH (H3MeHeHHe ToqKH o63opa), Tpe6yeTCH .D:OCTaToqHO MHOro BpeMeHH H rrpH 3a,z:i:aHHH KOMatt;::i: Herrocpe,n:cTBeHHO rrp:u .n:eMOHCTpall;HH MO)l(HO COBepIIIHTh OIIIH6KY. KoMatt.n:hI rrpe3eHTau;:u:u II03BOJIHIOT coxpaHHTh Tpe6yeMoe H3o6pa:>KeH:ue 3KpaHa B c:>KaTOM B:u;::i:e B TaK Ha3hrnaeMoM cnatl:;::i:e. Cnatl:;::i: He co;::i:ep)KHT CJIO:>KHOH HepapXM:qeCKOH Mo,n:eJIH o6'heKTa H 3aHHMaeT MaJIO rraMHTH, II03TOMY BhIBO.D: Ha 3KpaH rrpoeKu;HOHHOro MOHHTOpa coxpaHeHHhIX CJiatl:;::i:oB rrpOHCXO.D:HT rrpaKTM:qeCKH MrHOBeHHO.

,nm..

;::i:eMOHCTpall;HH rrpoeKTa MO:>KHO TaK:>Ke C03,n:aTb HeCKOJihKO

cnatl:;::i:oB H pa3pa60TaTh cu;eHaptttl: HX rroKa3a, HarrpHMep, B cne.n:YJOmeM B:u;::i:e: IIOKa3aTb rrepBhIH CJiatl:;::i:, qepe3

254

20

c IIOKa3aTb BTopotl:


CJiatm H T . .n;. C:u;eHapH:H IIHIIIeTCR B BH.n;e KOMaH.n;HOfO <t>a:HJia, KOTOpbIH B AutoCAD aHaJIOfWieH no <l>YHKUHRM KOMaH,D;HbIM <t>a:HJiaM ,D;pYfHX CHCTeM, HarrpHMep orrepa:QHOHHOH.

B KOMaH.n;HOM <t>a:HJie CTpO-

Ka 3a CTpOKOH yKa3aHbl KOMaH.n;bl AutoCAD B BH.n;e, aHaJIOfHqHoM HX BH)Jy B KOMaH,D;HOH CTpOKe. C03.n;aTb KOMaH.n;HbIH <t>a:HJI MO)l(HO c noMOI:QbIO mo6oro TeKCTOBOro pe.n;aKTopa. 3anycKaeTCR KOMaH,D;HbIH <t>a:HJI BBO,Il;OM ero HMeHH, IIOCJie qero KOMaH,D;HbIH HHTepnpeTaTOp 6y.n;eT IIbITaTbCR cqHTbIBaTb KOMaH.n;bl H3 <t>a:HJia, a He c KJiaBHaTYPbl.

Arm C03,D;aHHR npe3eHTa:QHH HCIIOJib3YJOTCR CJie.n;yiom11e KOMaH.n;bl: Slide - C03,D;aTb HOBblH CJiatm; Wslide - 3arrHcaTb c11atm Ha .n;11cK; Vslide - BbIBeCTH c11atm Ha 3KpaH; Delay ss - c.n;eJiaTb 3a.n;epxicy Ha SS ceK)'H)J;. Bo3M01KllOCTH nporpaMMHpoeanHJI na Jl3b1Ke Jlacn.

513bIK nporpaM-

MHpoBaHHR nHcII, BCTpOeHHbIH B AutoCAD, RBJIReTCR R3bIKOM BblCOKOfO ypOBHR. Ilo CBOHCTBaM CTpyKTYPHpOBaHHR n11cn aHaJIOfWieH R3hlKaM AJiroJI H CH, no rrpocToTe 11 B03MO)l(HOCTRM 6JIH30K K R3hIKY <l>opTpaH.

B cpe.n;cTBa R3hIKa BKJI10qeHbI <PYHKUHH BhI30Ba Bcex KOMaH.n;

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B 3TOM OKHe B cTpoKe Name

Initial value

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Text format

Numeric Format (qHCJioDisplay name (0T06paxaeMoe

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HMH) }'Ka3hIBaeTCH HMH IIOJIH, KOTopoe 6y.aeT BblBO)lHTbCH B coo6meHHH B c.rryqae HapyrneHHH ycTaHOBJieHHbIX rrpaBHJI. PaCCMOTpHM TalOKe crroco6hI C03)laHHH IIOJieH co CIIHCKaMH, OTJI.H'IaIOI.UHeCH OT TeXHOJI011f11eCKHX rrplieMOB, H3JIO)K:eHHblX B rn. YcTaHOBHB rroJie co CIIHCKOM Ha <t>opMY, cJie.ayeT pa3MeCTHTh

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6y.u;eT 3KBI.fBa.JieHTHO Ha3BaHHIO 3JieMeHTa cnHCKa. IlepeKJIIO'IaTeJih Initial State (Ha'Ia.JihHOe COCTOHHHe) onpe,n:eJIHeT, 6y.u;eT JIH .u;aHHhIH 3JieMeHT Bh16paH no YMOJI'IaHHIO. Ilo aHarrorH'IHOH cxeMe ycTaHaBJIHBaIOTcH Ha <t>opMe H .u;pyrne 3JieMeHThl ynpaBJieHHH. IlocJie ycTaHOBKH Ha <t>opMe 3JieMeHTOB ynpaBJieHHH CJie.u:yeT 3a.u;aTh CBOHCTBa KHOnKe [Submit] (OTnpaBHTb) H 3aMeHHTh Ha3BaHHe KHOnKH [Reset] (CM. pHC. 19.27), HanpHMep Ha [01IHCTHTh noJIH]. ):LJul 3a,n:aHHH CBOHCTB KHOnKe [Submit] cne.u:yeT rn;eJIKHyTh npaBOH KHOnKOH MblllIH B JII06oii: o6JiaCTH <t>opMbl H B noHBHBIIIeMCH KOHTeKCTHOM MeHJO BbI6paTh KOMatt.u:y Form Properties (CBOlfCTBa <t>opMbl). Ha 3KPaHe noHBHTCH COOTBeTCTBYJOrn;ee .U:HaJIOroBoe OKHO (pHC. 19.31). C noMOIIl;hIO rpynnhI 3JieMeHTOB ynpaBJieHHH Where to store results (f.u:e coxpaHHTh pe3yJihTaT) 3Toro oKHa onpe.u;eJIHeTCH cnoco6 coxpaHeHHH pe3yJihTaToB <t>opMhI. Ilo YMOJI'IaHHIO BKJIIO'IeH nepBhIH nepeKJIIO'IaTeJih Send to (OTnpaBHTh B). 3To 3Ha'IHT, 'ITO nonyqeHHhie .11:aHHb1e MOI)'T 6b1Th coxpatteHhl B TeKCTOBOM <t>aH:Jie, yKa3aHHOM B none File name (HMH <t>aH:Jia), HJIH OTnpaBJieHbl no 3JieKTpOHHOH nO'ITe no a,n:pecy, yKa3aHHOMY B none E-mail address (Mpec 3JieKTpOHHOH IIO'ITbI). HrutcaTHeM KHOnKH (Options] (IlapaMeTPhI) OTKpbrnaeTCH JJ:Ha.JIOroBoe OKHO Options for Saving ults of Form (IlapaMeTphI coxpaHeHHH pe3yJihTaTOB <t>opMhI), noKaJaHHoe Ha pHc. 19.32. B 3TOM .u;HanoroBoM

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oKHe MO)l(HO HaC'TpOHTh pa:irmqHhie rrapaMe'TpbI coxpatteHIDI pe3yJihTaTOB: B <t>aitrre HJIH IIHChMe. Ha BKJia,uKe File Results ( CoxpatteHHe B <t>aitrre) MO)l(HO Bh16paTb <t>opMaT <l>aitrra. 3TO MOXeT 6bITb TeKCTOBhlH <l>aitrr c pa3JIH'IHblMH BH,ll;aMH pa3;::i;eJIHTeJieH HJIH B <t>opMaTe HTML. 3;::i;ecb xe MO)l(HO YKa3aTh BTopoif <t>aitrr .llllil pe3yJihTaToB, qTo y;::i;o6Ho, ecJIH, HarrpHMep, 'Tpe6yeTCj{ IIO,ll;fOTOBHTb O,ll;HH pe3yJibTaT .llllil coxpaHeHIDI B 6a3e ;::i;aHHbIX, a ;::i;pyroif - .llllil OT06paxeHIDI Ha C'TpaHHUe. Ha BKJia,uKe E-mail Results (CoxpaHeHHe B IIHCbMe) MO)l(HO BbI6paTb <t>opMaT IIHCbMa (E-mail format), YKa3aTb TeMY IIHCbMa (Subject line) H YKa3aTb ompamneJij{ (Reply-to line). Ha BKJia,uKe Confirmation Page (CTPaHHUa rro;::i;Tsep)l{)leHIDI) MOXHO YKa3aTb a,upec C'TpaHHUbl c HH$OpMauHeH IIO,ll;TBep)l{)leHIDI BBO,ll;a (Confirmation page), a TaKXe a,upec C'TpaHI1UhI, oTo6paxaeMOH rrp11 HapyrneHHH rrpaBHJI BBo;::i;a (Validation failure page). Ha BKJia,uKe Saved Fields (Coxpaffj{eMhie rroAA) MO)l(HO BhI6opoqHO rrepeqHCJIHTb IIOAA <t>opMbl, KOTOpbie 'Tpe6yeTCj{ coxpaHHTb (Form fields to save), 11 YKa3aTb HX rropjl)l;OK, a TaKXe BKJI10q11Tb B pe3yJibTaT ;::i;orroJIHHTeJihHhie rroAA: ;::i;ary (Date Format), apeMj{ (Time Format), HMj{ y;::i;anettttoro KOMIIhIOTepa (Remote comp name), HMj{ IIOJib30BaTeAA ( Usemame) H rnrr 6poy3epa (Browser type).

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339


.[Vul coxpaHemrn pe3yJihTaTOB BBO,na B 6aJy ,naHHbIX cJie.nyeT Ja.QaTb CBOHCTBa 3Toif 6aJhI ,naHHhIX, BepttyBilIHCb K AHaJioroBOMY OKHY Form Properties (CBOitCTBa <t>opMbl) Ha PHC. 19.31. YcTaHOBKa nepeKmoqaTeJUl Send to database (OTnpaBHTb B 6aJy ,naHHbIX) B rpynne 3JieMeHTOB ynpaBJieHIDI Where to store results (f.ne coxpaHHTb peJyJILTaTbI) 03HaqaeT, qTo .naHHhie 6y.nYT coxpaHHTbCH B 6aJe .naHHhIX. IlpJiqeM 3TO MoxeT 6b1Th 6a:ia .nattHblX MS Access IDIH KaKaH-JIH6o .npyra» 6aJa .nattHbIX, no,n.nep)l{HBaIOIUaH pa6oTY qepe3 cTatt,napTHbIH CHCTeMHblH mrrep<t>e:Hc .nocTyna K 6aJaM ,naHHhIX ODBC (Open Database Connectivity - Ce.Sl3b c OTKPhITbIMH 6aJaMH .naHHbIX) . .[Vul pa60Tbl c 6aJOH .naHHbIX Heo6xo,nHMO C03A3Tb H HaCTPOHTb coe,nHHeHHe (Database Connection to Use), Bb16paTh Ta6JIHI.zy H ycrnHOBHTh ,npyrHe napaMeTpbI B .nHaJIOI'OBOM oKHe Options for Saving Results to Database (IlapaMeTPhl coxpaHeHIDI pe3yJihTaTOB B 6aJy ,naHHbIX), nOKaJaHHOM Ha PHC. 19.33 H Bbl3bIBaeMOM HaxarneM Ha KHOilKY [Options) (IlapaMeTPhl), noKaJaHttyIO Ha pHc. 19.31. IlpH ycTaHoBJieHHOM nepeI<JuoqaTeJie Send to other (OTnpaBHTb ,npyroM}' o6pa6orqHKY) ,naHHbie 06pa6aTh1BalOTC.Sl c noMOIUblO CKpHnTa, T. e. He60JibllIOH nporpaMMbl, HanHCaHHOH pa3pa60TqHKOM ca:HTa. TaKYIO nporpaMMY HaJbIBaJOT TaKXe nporpaMMo:H-o6pa6orqHKOM, IDIH o6pa6orqHKOM. B pe.aaKTope FrontPage HMeJOTC.Sl ,nBa roTOBblX o6pa6orqHKa: AJUl AHCKYCCHOHHblX <t>opM (Discussion Form Handler) H AJUl

P11c. 19.33 . .ll11a.11orosoe OKHO ,!J..1UI coxpaHeHIDI pe3yJibTaTOB B 6a3e ,11aHHbIX

340


pern:cTpau;110HHhIX ct>opM (Registration Form Handler). 3m o6pa6oT'ni:KH BbI6HpaIOTCH B OTKpbIBaIO:rn;eMCH CIIHCKe pH,D;OM c rrepeKJI10qaTeJieM Send to other (OmpaBHTh .upyroMY 06pa60T11mcy), a HX rrapaMeTpbI 3a,aaIOTCH B OT,UeJibHbIX .UHaJIOroBhIX OKHax, BbI3bIBaeMhIX HaJKaTHeM KHOIIKH [Options] (IlapaMeTpbI). HecMOTpH Ha pa3Hoo6pa3He B03MO)l{HOCTe:H no o6pa6oTKe pe3yJihTaTOB ct>opMbI, HX MO)l{HO rrpoBepHTb H Ha OT.UeJibHOM KOMIIbIOTepe. ,llml: aBTOMaTffqeCKOro coxpaHeHHH .uaHHbIX B ct>a:HJie, IIHChMe HJIH 6a3e .uaHHbIX B KOMIIbIOTepe, r.ue pa3Me:rn;eH ca:HT, ,UOJI)l{Hbl 6bITb ycTaHOBJieHhI .uorroJIHHTeJihHbie rrporpaMMHbie cpe.ucTBa FrontPage Server Extensions (FPSE). IlaKeT rrporpaMM FPSE, o6biqHo ycTaHaBJIHBaeMhIH Ha Web-cepBep H rrpe.uHa3HaqeHHhIH llJlH rro.u.uep:>KKH ca:HTOB, pa3pa60TaHHhIX c IIOMOlUhIO rrporpaMMhI FrontPage, o6ecrreqHBaeT rrpHeM H rrepe.uaqy .uaHHhIX H ct>a:HJioB OT rroceTHTeJie:H ca:HTOB K WebcepBepy HarrpHMYJO 6e3 HCIIOJib30BaHHH .UOIIOJIHHTeJibHbIX rrpoTOKOJIOB H rro.u.uep)KJ(}' pa6oTbI crreu;Hcl>ffqHhIX llJlH pe.uaKTopa FrontPage 3JieMeHTOB TIOJib30BaTeJibCKOro HHTepct>eika. TaKHM o6pa3oM, qTo6bI npoBepHTh pa60Tocnoco6HOCTh onHcaHHhIX cpe,UCTB llJlH pa60TbI c ct>opMaMH, Heo6XO.UHMO pa3MeCTHTb ca:HT Ha Web-cepBepe c ycTaHOBJieHHhIM Ha HeM naKeTOM nporpaMM FPSE. E.UHHCTBeHHhIM BapHaHTOM o6pa6oTKH pe3yJihTaTOB ct>opMhI 6e3 rrporpaMMHhIX cpe.ucTB FPSE HBJIHeTcH HCTIOJih30BaHHe cKpHnTa, onpe.ueJieHHoro pa3pa60T11HKOM ca:HTa, T. e. cneu;HaJihHOH nporpaMMhI, HaTIHCaHHOH B COOTBeTCTBHH c Tpe6oBaHHHMH CJie.uyIOll.l,HX TeXHOJIOfHH nepeCbillKH KJIHeHTCKHX .uaHHbIX: CGI (Common Gateway Interface) - IIIJII030BOH HHTepct>e:Hc; ISAPI (Internet Server Application Program Interface) - nporpaMMHhIH HHTepcl>e:Hc llJlH npHJIO)l(eHHH Internet-cepBepa; NSAPI (Netscape Server Appli-Yogram Interface) - nporpaMMHhIH HHTepcl>e:Hc llJlH npHJIO)l(eHHH Web-cepBepa Netscape; ASP (Active Server Pages) - aKTHBHhie cepBepHhie cTpaHHU:hI. IlepeqHcJieHHbIM TeXHOJIOfHHM OTrrpaBKH KJIHeHTCKHX .uaHHbIX coOTBeTCTBYIOT .UBa CTaH,UapTHhIX Mern.ua nepechmKH HHcl>opMau;HH: POST H GET, B KOTOphIX HHcl>opMau;HH rrepe.uaeTCH B BH,Ue nap HMH_rroJIH = 3HaqeHHe, pa3,aeJieHHhIX aMnepcaH,UaMH &. IlporpaMMa-06pa60T11HK,UOJI)l{Ha pa3o6paTb 3TH .uaHHbie H BbITIOJIHHTb orrpe.ueJieHHhie .ue:HCTBHH, HanpHMep npOH3BeCTH TIOHCK B 6a3e .uaHHhIX H BbIBeCTH pe3yJihTaT B BH,Ue HTML-cTpaHHU:hI, KOTopaH rrepecbmaeTcH o6paTHO llJlH rrpocMoTpa B 6poy3ep. 3aBeprnaIO:rn;HM rnaroM npH C03,UaHHH ct>opMbI HBJIHeTCH BKJIIOqeHHe B cocTaB ca:HTa cTpaHHU:hl no.urnep)l(lleHHH (Confirmation page), KOTOpaH BbIBO.UHTCH B OTBeT Ha OTIIPaBKY .uaHHbIX npH HaxaTHH KHOTIKH [Submit] (OTnpaBHTb). 06bJqHO OHa co.uep)l(HT HeKOTOpbIH TeKCT, rro.uTBep)l(,UaIO:rn;HH OTIIpaBKY, H HHcl>opMaU:HIO, BBe,UeHHyio noceTHTeJieM caM:Ta B ct>opMhI.

341


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