hp 10BII financial calculator user’s guide Edition 1 HP part number F1902-90001 檔名: title_English-050105.
Notice REGISTER YOUR PRODUCT AT: www.register.hp.com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED “AS IS” AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE. HEWLETT-PACKARD CO.
10B.
10B.
10BTOC.fm Page 5 Thursday, June 22, 2000 12:31 PM Contents 1 11 11 12 13 14 15 16 17 18 19 21 At a Glance... %DVLFV³$W D *ODQFH 3HUFHQWDJHV³$W D *ODQFH 0HPRU\ .H\V³$W D *ODQFH« 7LPH 9DOXH RI 0RQH\ 790 ³$W D *ODQFH« 790 :KDW LI«³$W D *ODQFH« $PRUWL]DWLRQ³$W D *ODQFH« ,QWHUHVW 5DWH &RQYHUVLRQ³$W D *ODQFH« ,55 <5 DQG 139³$W D *ODQFH« 6WDWLVWLFV³$W D *ODQFH« .
10BTOC.fm Page 6 Thursday, June 22, 2000 12:31 PM 2 33 33 33 34 34 35 35 35 36 Business Percentages 3HUFHQW .
10BTOC.
10BTOC.
10BTOC.
TOC.
at_a_glance.fm Page 11 Sunday, June 25, 2000 2:21 PM At a Glance... 7KLV VHFWLRQ LV GHVLJQHG IRU \RX LI \RX·UH DOUHDG\ IDPLOLDU ZLWK FDOFXODWRU RSHUDWLRQ RU ILQDQFLDO FRQFHSWV
fm Page 12 Sunday, June 25, 2000 2:21 PM Percentages—At a Glance... D7 c] 3HUFHQW &RVW 3ULFH 0DUJLQ 0DUNXS $GG WR D 7 c ] 7 c Keys: Display: Description: 17.50 (QWHUV QXPEHU $GGV 20.13 )LQG WKH PDUJLQ LI WKH FRVW LV DQG VHOOLQJ SULFH LV 15.00 22.00 31.82 (QWHUV FRVW (QWHUV SULFH &DOFXODWHV PDUJLQ ,I WKH FRVW LV DQG WKH PDUNXS LV ZKDW LV WKH VHOOLQJ SULFH" 12 At a Glance... 20.00 33.00 26.
fm Page 13 Sunday, June 25, 2000 2:21 PM Memory Keys—At a Glance… - a *! 6WRUHV D FRQVWDQW RSHUDWLRQ 6WRUHV D YDOXH LQ WKH 0 UHJLVWHU PHPRU\ ORFDWLRQ 5HFDOOV D YDOXH IURP WKH 0 UHJLVWHU $GGV D YDOXH WR WKH QXPEHU VWRUHG LQ WKH 0 UHJLVWHU 6WRUHV D YDOXH LQ D QXPEHUHG UHJLVWHU 5HFDOOV D YDOXH IURP D QXPEHUHG UHJLVWHU 0XOWLSO\ DQG E\ VWRULQJ ´ï µ DV D FRQVWDQW RSHUDWLRQ " Keys: *! % Display: Description: 7.
at_a_glance.fm Page 14 Sunday, June 25, 2000 2:21 PM Time Value of Money (TVM)—At a Glance… (QWHU DQ\ IRXU RI WKH ILYH YDOXHV DQG VROYH IRU WKH ILIWK $ QHJDWLYH VLJQ LQ WKH GLVSOD\ UHSUHVHQWV PRQH\ SDLG RXW PRQH\ UHFHLYHG LV SRVLWLYH P.
fm Page 15 Sunday, June 25, 2000 2:21 PM TVM What if…—At a Glance… ,W LV QRW QHFHVVDU\ WR UHHQWHU 790 YDOXHV IRU HDFK H[DPSOH 8VLQJ WKH YDOXHV \RX MXVW HQWHUHG SDJH KRZ PXFK FDQ \RX ERUURZ LI \RX ZDQW D SD\PHQW RI " (2 Keys: . Display: Description: –100.00 (QWHUV QHZ SD\PHQW DPRXQW 0RQH\ SDLG RXW LV QHJDWLYH &DOFXODWHV DPRXQW \RX FDQ ERUURZ 11,395.08 +RZ PXFK FDQ \RX ERUURZ DW D LQWHUHVW UDWH" . 2 9.50 11,892.67 10.00 14,000.00 –122.
at_a_glance.
at_a_glance.fm Page 17 Sunday, June 25, 2000 2:21 PM Interest Rate Conversion—At a Glance… 7R FRQYHUW EHWZHHQ QRPLQDO DQG HIIHFWLYH LQWHUHVW UDWHV HQWHU WKH NQRZQ UDWH DQG WKH QXPEHU RI SHULRGV SHU \HDU WKHQ VROYH IRU WKH XQNQRZQ UDWH * *Z *b 1RPLQDO LQWHUHVW SHUFHQW (IIHFWLYH LQWHUHVW SHUFHQW 3HULRGV SHU \HDU )LQG WKH DQQXDO HIIHFWLYH LQWHUHVW UDWH RI QRPLQDO LQWHUHVW FRPSRXQGHG PRQWKO\ * *b *Z Keys: Display: Description: 10.
at_a_glance.
fm Page 19 Sunday, June 25, 2000 2:21 PM Statistics—At a Glance… *j A*@ 00 A*@ *$*i *E *:*i *M*i *3*i *4 *4*i QXPEHU QXPEHU QXPEHU QXPEHU QXPEHU QXPEHU \ YDOXH [ YDOXH &OHDU VWDWLVWLFDO UHJLVWHUV (QWHU RQH YDULDEOH VWDWLVWLFDO GDWD 'HOHWH RQH YDULDEOH VWDWLVWLFDO GDWD (QWHU WZR YDULDEOH VWDWLVWLFDO GDWD 'HOHWH WZR YDULDEOH VWDWLVWLFDO GDWD 0HDQV RI [ DQG \ 0HDQ RI [ ZHLJKWHG E\ \ 6DPSOH VWDQGDUG GHYLDWLRQV RI [ DQG \ 3RSXODWLRQ VWDQGDUG GHYLDWLRQV RI [ DQG \ (VWLPDWH RI [ DQG F
at_a_glance.fm Page 20 Sunday, June 25, 2000 2:21 PM *j 0 A 0 A 0 A *$ *i *: *i *4 *i ) ) Keys: 20 At a Glance... Display: Description: 0.00 &OHDUV VWDWLVWLFV UHJLVWHUV 1.00 (QWHUV ILUVW [ \ SDLU 2.00 (QWHUV VHFRQG [ \ SDLU 3.00 (QWHUV WKLUG [ \ SDLU 4.00 'LVSOD\V PHDQ RI [ 100.00 'LVSOD\V PHDQ RI \ 2.00 'LVSOD\V VDPSOH VWDQ GDUG GHYLDWLRQ RI [ 55.68 'LVSOD\V VDPSOH VWDQ GDUG GHYLDWLRQ RI \ –10.
fm Page 21 Sunday, June 25, 2000 2:21 PM Keyboard Map 1. 2. 3. 4. 5. 6. 7. 8. 9. Time value of money (page 53) Separate two numbers (page 28) Percent (page 33) Constant (page 37) Store and recall (page 40) Change sign (page 24) Statistics key (page 27) Shift key (page 27) Clear display, cancel operation (page 25) 10. Clear all memory (page 25) 11. On (page 87) 12. Statistical functions (page 87) 13. n through Σxy: statistical summation registers (page 88) 14. 3-key memory (page 39) 15.
fm Page 22 Sunday, June 25, 2000 2:21 PM
10B.
10B.book Page 24 Wednesday, June 21, 2000 5:19 PM Keys: Display: Description: 87.18 $GGV DQG :KHQ D FDOFXODWLRQ KDV EHHQ FRPSOHWHG E\ SUHVVLQJ QXPEHU NH\ VWDUWV D QHZ FDOFXODWLRQ " SUHVVLQJ D &DOFXODWHV ï 240.92 ,I \RX SUHVV DQ RSHUDWRU NH\ DIWHU FRPSOHWLQJ D FDOFXODWLRQ WKH FDOFXODWLRQ LV FRQWLQXHG 356.
.book Page 25 Wednesday, June 21, 2000 5:19 PM Understanding the Display and Keyboard Cursor 7KH FXUVRU B LV YLVLEOH ZKHQ \RX DUH HQWHULQJ D QXPEHU Clearing the Calculator R :KHQ WKH FXUVRU LV RQ HUDVHV WKH ODVW GLJLW \RX HQWHUHG 2WKHUZLVH FOHDUV WKH GLVSOD\ DQG FDQFHOV WKH FDOFXODWLRQ R % :KLOH \RX DUH HQWHULQJ D QXPEHU SUHVVLQJ FOHDUV LW WR ]HUR 2WKHUZLVH FOHDUV WKH GLVSOD\ RI LWV FXUUHQW FRQWHQWV DQG FDQFHOV WKH FXUUHQW FDOFXODWLRQ % Clearing Messages.
10B.
10B.
10B.
.book Page 29 Wednesday, June 21, 2000 5:19 PM Two-Number Functions. :KHQ D IXQFWLRQ UHTXLUHV WZR QXPEHUV WKH QXPEHUV DUH HQWHUHG OLNH WKLV QXPEHU QXPEHU IROORZHG E\ WKH RSHUDWLRQ 3UHVVLQJ HYDOXDWHV WKH FXUUHQW H[SUHVVLRQ DQG GLVSOD\V WKH INPUT DQQXQFLDWRU )RU H[DPSOH WKH IROORZLQJ NH\VWURNHV FDOFXODWH WKH SHUFHQW FKDQJH EHWZHHQ DQG 0 Keys: 0 *6 0 Display: Description: 17.
10B.book Page 30 Wednesday, June 21, 2000 5:19 PM Specifying Displayed Decimal Places 7R VSHFLI\ WKH QXPEHU RI GLVSOD\HG GHFLPDO SODFHV 3UHVV (QWHU WKH QXPEHU RI GLJLWV WKURXJK WKDW \RX ZLVK WR DSSHDU DIWHU WKH GHFLPDO SRLQW * Keys: % * " * * Display: Description: 0.00 &OHDUV GLVSOD\ 'LVSOD\V WKUHH GHFLPDO SODFHV 0.000 5.727 5.727360000 5.
10B.
.book Page 32 Wednesday, June 21, 2000 5:19 PM Rounding Numbers 7KH FDOFXODWRU VWRUHV DQG FDOFXODWHV XVLQJ GLJLW QXPEHUV :KHQ GLJLW DFFXUDF\ LV QRW GHVLUDEOH XVH WR URXQG WKH QXPEHU WR WKH GLVSOD\HG IRUPDW EHIRUH XVLQJ LW LQ D FDOFXODWLRQ 5RXQGLQJ QXPEHUV LV XVHIXO ZKHQ \RX ZDQW WKH DFWXDO GROODUV DQG FHQWV PRQWKO\ SD\PHQW *L Keys: * * *L * Display: Description: 9.
10B.book Page 33 Wednesday, June 21, 2000 5:19 PM 2 Business Percentages
.book Page 34 Wednesday, June 21, 2000 5:19 PM Adding or Subtracting a Percent
10B.
10B.book Page 36 Wednesday, June 21, 2000 5:19 PM Using Margin and Markup Together Example.$ IRRG FRRSHUDWLYH EX\V FDVHV RI FDQQHG VRXS ZLWK DQ LQYRLFH FRVW RI SHU FDVH ,I WKH FR RS URXWLQHO\ XVHV D PDUNXS IRU ZKDW SULFH VKRXOG LW VHOO D FDVH RI VRXS" :KDW LV WKH PDUJLQ" Keys: 7 c ] 36 Display: Description: 9.60 6WRUHV LQYRLFH FRVW 6WRUHV PDUNXS &DOFXODWHV WKH SULFH RQ D FDVH RI VRXS &DOFXODWHV PDUJLQ 15.00 11.04 13.
10B.book Page 37 Wednesday, June 21, 2000 5:19 PM 3 Number Storage and Arithmetic Using Stored Numbers in Calculations
10B.book Page 38 Wednesday, June 21, 2000 5:19 PM Keys Operation - QXPEHU - " QXPEHU - d QXPEHU - * ^[ YDOXH - Q XPEHU - QXPEHU - " QXPEHU - d QXPEHU - 6WRUHV ´ QXPEHUµ DV FRQVWDQW QXPEHU 6WRUHV ´² QXPEHUµ DV FRQVWDQW 6WRUHV ´ï QXPEHUµ DV FRQVWDQW 6WRUHV ´¸ QXPEHUµ DV FRQVWDQW 6WRUHV ´\ µ DV FRQVWDQW 6WRUHV ´ QXPEHU µ DV FRQVWDQW [ YDOXH 6WRUHV ´² QXPEHU µ DV FRQVWDQW 6WRUHV ´ï QXPEHU µ DV FRQVWDQW 6WRUHV ´¸ QXPEHU µ DV FRQVWDQW Example.
10B.book Page 39 Wednesday, June 21, 2000 5:19 PM 64.
.book Page 40 Wednesday, June 21, 2000 5:19 PM Using Numbered Registers *! DQG NH\V DFFHVV WKH XVHU UHJLVWHUV 7KH *! NH\ LV XVHG WR FRS\ WKH GLVSOD\HG QXPEHU WR D GHVLJQDWHG UHJLVWHU 7KH NH\ LV XVHG WR FRS\ D QXPEHU 7KH IURP D UHJLVWHU WR WKH GLVSOD\ 7R VWRUH RU UHFDOO D QXPEHU LQ WZR VWHSV 3UHVV RU 7R FDQFHO WKLV VWHS SUHVV (QWHU WKH UHJLVWHU QXPEHU WKURXJK *! R RU % ,Q WKH IROORZLQJ H[DPSOH WZR VWRUDJH UHJLVWHUV DUH XVHG &DOFXODWH WKH IROORZLQJ 475.
ook Page 41 Wednesday, June 21, 2000 5:19 PM Doing Arithmetic Inside Registers
10B.book Page 42 Wednesday, June 21, 2000 5:19 PM Doing Arithmetic 0DWK IXQFWLRQV RSHUDWH RQ WKH QXPEHU LQ WKH GLVSOD\ Example. &DOFXODWH WKHQ FDOFXODWH *[ *T * h Keys: Display: Description: 0.25 &DOFXODWHV WKH UHFLSURFDO RI &DOFXODWHV √ &DOFXODWHV √ 4.47 51.67 1.21 &DOFXODWHV &RPSOHWHV WKH FDOFXODWLRQ 52.88 Example.
10B.book Page 43 Wednesday, June 21, 2000 5:19 PM Power Operator *^ 7KH SRZHU RSHUDWRU UDLVHV WKH SUHFHGLQJ QXPEHU \ YDOXH WR WKH SRZHU RI WKH IROORZLQJ QXPEHU [ YDOXH Example. &DOFXODWH WKHQ ILQG WKH FXEH URRW RI *^ *^ *[ Keys: Display: Description: 1,953,125.00 &DOFXODWHV &DOFXODWHV WKH FXEH URRW RI RU 5.
.book Page 44 Wednesday, June 21, 2000 5:19 PM 7R GHOD\ WKH GLYLVLRQ XQWLO \RX·YH VXEWUDFWHG IURP XVH SDUHQWKHVHV &ORVLQJ SDUHQWKHVHV DW WKH HQG RI WKH H[SUHVVLRQ FDQ EH RPLWWHG )RU H[DPSOH HQWHULQJ ´ ÷ ï µ LV HTXLYDOHQW WR ´ ÷ ï µ Keys: d* * " 44 Display: Description: 85.00 1R FDOFXODWLRQ \HW 73.00 &DOFXODWHV ² 0.41 &DOFXODWHV ÷ 3.
10B.
10B.book Page 46 Wednesday, June 21, 2000 5:19 PM 16,567.20 Up-arrows represent positive cash flows (money received). 5,000.00 The horizontal line represents time. It is divided into regular periods. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Down-arrows represent negative cash flows (money paid out). -5,000.00 -6,000.00 -7,000.
.book Page 47 Wednesday, June 21, 2000 5:19 PM Periods and Cash Flows ,Q DGGLWLRQ WR WKH VLJQ FRQYHQWLRQ FDVK IORZLQJ RXW LV QHJDWLYH FDVK IORZLQJ LQ LV SRVLWLYH RQ FDVK IORZ GLDJUDPV WKHUH DUH VHYHUDO PRUH FRQVLGHUDWLRQV n 7KH WLPH OLQH LV GLYLGHG LQWR HTXDO WLPH LQWHUYDOV 7KH PRVW FRPPRQ SHULRG LV D PRQWK EXW GD\V TXDUWHUV DQG DQQXDO SHULRGV DUH DOVR FRPPRQ 7KH SHULRG LV QRUPDOO\ GHILQHG LQ D FRQWUDFW DQG PXVW EH NQRZQ EHIRUH \RX FDQ EHJLQ FDOFXODWLQJ n 7R VROYH D ILQDQFLDO SUREOHP ZLWK W
10B.
10B.
.book Page 50 Wednesday, June 21, 2000 5:19 PM
.book Page 51 Wednesday, June 21, 2000 5:19 PM Recognizing a Cash Flow Problem $ ILQDQFLDO SUREOHP WKDW GRHV QRW KDYH UHJXODU XQLIRUP SD\PHQWV VRPHWLPHV FDOOHG XQHYHQ FDVK IORZV LV D FDVK IORZ SUREOHP UDWKHU WKDQ D 790 SUREOHP *N $ FDVK IORZ GLDJUDP IRU DQ LQYHVWPHQW LQ D PXWXDO IXQG IROORZV 7KLV LV 1HW 3UHVHQW DQ H[DPSOH RI D SUREOHP WKDW LV VROYHG XVLQJ HLWKHU 9DOXH RU ,QWHUQDO 5DWH RI 5HWXUQ SHU
ook Page 52 Wednesday, June 21, 2000 5:19 PM
10B.
.book Page 54 Wednesday, June 21, 2000 5:19 PM P . 2 / *b 2 *U P *O * P .
Page 55 Wednesday, June 21, 2000 5:19 PM Begin and End Modes %HIRUH \RX VWDUW D 790 FDOFXODWLRQ LGHQWLI\ ZKHWKHU WKH ILUVW SHULRGLF SD\PHQW RFFXUV DW WKH EHJLQQLQJ RU HQG RI WKH ILUVW SHULRG ,I WKH ILUVW SD\PHQW RFFXUV DW WKH HQG RI WKH ILUVW SHULRG VHW \RXU +3 %,, WR (QG PRGH LI LW RFFXUV DW WKH EHJLQQLQJ RI WKH ILUVW SHULRG VHW \RXU FDOFXODWRU WR %HJLQ PRGH *O 7KH BEGIN DQQXQFLDWRU LV 7R VZLWFK EHWZHHQ PRGHV SUHVV GLVSOD\HG ZKHQ \RXU FDOFXODWRU LV LQ %HJLQ PRGH 1R DQQXQFLDWRU LV GL
10B.book Page 56 Wednesday, June 21, 2000 5:19 PM *b " P . / 2 Keys: Display: Description: 12.00 6HWV SHULRGV SHU \HDU 6WRUHV QXPEHU RI SHULRGV LQ ORDQ 6WRUHV DQQXDO QRPLQDO LQWHUHVW UDWH 6WRUHV DPRXQW ERUURZHG 6WRUHV WKH DPRXQW OHIW WR SD\ DIWHU \HDUV &DOFXODWHV WKH PRQWKO\ SD\PHQW 7KH QHJDWLYH VLJQ LQGLFDWHV PRQH\ SDLG RXW 36.00 10.50 13,000.00 0.00 –422.53 Part 2.
10B.book Page 57 Wednesday, June 21, 2000 5:19 PM Example: A Home Mortgage.
ook Page 58 Wednesday, June 21, 2000 5:19 PM Example: A Mortgage With a Balloon Payment.
book Page 59 Wednesday, June 21, 2000 5:19 PM Step 2. 6LQFH WKH SD\PHQW LV DW WKH HQG RI WKH PRQWK WKH SDVW SD\PHQW DQG WKH EDOORRQ SD\PHQW RFFXU DW WKH VDPH WLPH 7KH ILQDO SD\PHQW LV WKH VXP RI 307 DQG )9 PV = 172,500.00 I/YR = 8.8% N = 4 × 12 P/YR = 12 1 2 3 ... 4 44 45 46 47 48 PMT = -1,424.
Wednesday, June 21, 2000 5:19 PM Savings Calculations Example: A Savings Account. ,I \RX GHSRVLW LQ D VDYLQJV DFFRXQW WKDW SD\V DQQXDO LQWHUHVW FRPSRXQGHG DQQXDOO\ DQG PDNH QR RWKHU GHSRVLWV WR WKH DFFRXQW KRZ ORQJ ZLOO LW WDNH IRU WKH DFFRXQW WR JURZ WR " FV = 3,000.00 I/YR = 7.2% N=? P/YR = 1 1 2 ... 3 N=? PMT = 0 PV = -2,000.00 6LQFH WKLV DFFRXQW KDV QR UHJXODU SD\PHQWV 307 WKH SD\PHQW PRGH (QG RU %HJLQ LV LUUHOHYDQW *& *b ( / .
.book Page 61 Wednesday, June 21, 2000 5:19 PM 6LQFH WKH FDOFXODWHG YDOXH RI 1 LV EHWZHHQ DQG LW ZLOO WDNH VL[ \HDUV RI DQQXDO FRPSRXQGLQJ WR DFKLHYH D EDODQFH RI DW OHDVW &DOFXODWH WKH DFWXDO EDODQFH DW WKH HQG RI VL[ \HDUV P / P 6HWV WR \HDUV &DOFXODWHV DPRXQW \RX FDQ ZLWKGUDZ DIWHU \HDUV 6.00 3,035.28 Example: An Individual Retirement Account.
ook Page 62 Wednesday, June 21, 2000 5:19 PM *b ( (2 . *U / Keys: Display: Description: 24.00 6HWV QXPEHU RI SHULRGV SHU \HDU 6WRUHV LQLWLDO GHSRVLW 6WRUHV UHJXODU VHPLPRQWKO\ GHSRVLWV 6WRUHV LQWHUHVW UDWH 6WRUHV QXPEHU RI GHSRVLWV &DOFXODWHV EDODQFH –2,000.00 –80.00 6.30 360.00 52,975.60 Example: An Annuity Account.
.book Page 63 Wednesday, June 21, 2000 5:19 PM *b ( . *U / 2 Keys: Display: Description: 12.00 6HWV SD\PHQWV SHU \HDU 6WRUHV \RXU QHVW HJJ DV DQ RXWJRLQJ GHSRVLW 6WRUHV DQQXDO LQWHUHVW UDWH \RX H[SHFW WR HDUQ 6WRUHV QXPEHU RI ZLWKGUDZDOV 6WRUHV EDODQFH RI DFFRXQW DIWHU \HDUV &DOFXODWHV DPRXQW WKDW \RX FDQ ZLWKGUDZ DW WKH EHJLQQLQJ RI HDFK PRQWK –400,000.00 7.00 600.00 0.00 2,392.
10B.book Page 64 Wednesday, June 21, 2000 5:19 PM FV = 7,500.00 Money received by lessor is positive PMT = ? 1 2 ... 35 I/YR = 10% N = 36 P/YR = 12 PV = -13,500.00 Begin Mode 6HW WR %HJLQ PRGH 3UHVV *b . ( / P 2 Keys: *O 36 Money paid out by lessor is negative LI DQQXQFLDWRU LV QRW GLVSOD\HG Display: Description: 12.
10B.book Page 65 Wednesday, June 21, 2000 5:19 PM Example: Lease With Advance Payments.
10B.book Page 66 Wednesday, June 21, 2000 5:19 PM *b P (2 / . Keys: 2( Display: Description: 12.00 6HWV SD\PHQWV SHU \HDU 6WRUHV QXPEHU RI SD\PHQWV 6WRUHV PRQWKO\ SD\PHQW 6WRUHV )9 IRU VWHS 6WRUHV LQWHUHVW UDWH &DOFXODWHV SUHVHQW YDOXH RI PRQWKO\ SD\PHQWV 47.00 –2,400.00 0.00 9.00 95,477.55 Step 2. $GG WKH DGGLWLRQDO DGYDQFH SD\PHQW WR 39 6WRUH WKH DQVZHU P 2 (/ 97,877.55 97,877.55 $GGV DGGLWLRQDO DGYDQFH SD\PHQW 6WRUHV UHVXOW LQ 0 UHJLVWHU Step 3.
10B.
.book Page 68 Wednesday, June 21, 2000 5:19 PM . /2 *b $QQXDO QRPLQDO LQWHUHVW UDWH 6WDUWLQJ EDODQFH (QGLQJ EDODQFH 3D\PHQW DPRXQW URXQGHG WR WKH GLVSOD\ IRUPDW 1XPEHU RI SD\PHQWV SHU \HDU 7KH QXPEHUV GLVSOD\HG IRU LQWHUHVW SULQFLSDO DQG EDODQFH DUH URXQGHG WR WKH FXUUHQW GLVSOD\ VHWWLQJ * To Amortize.
10B.book Page 69 Wednesday, June 21, 2000 5:19 PM *b *U . / 2 Keys: Display: Description: 12.00 6HWV SD\PHQWV SHU \HDU 6WRUHV WRWDO QXPEHU RI SD\PHQWV 6WRUHV LQWHUHVW SHU \HDU 6WRUHV SUHVHQW YDOXH 6WRUHV IXWXUH YDOXH &DOFXODWHV PRQWKO\ SD\PHQW 360.00 7.75 180,000.00 0.00 –1,289.54 ,I \RX DOUHDG\ NQRZ WKH PRUWJDJH SD\PHQW \RX FDQ HQWHU DQG VWRUH LW MXVW OLNH \RX VWRUH WKH RWKHU IRXU YDOXHV 1H[W DPRUWL]H WKH ILUVW \HDU 0 * 12_ 1– 12 –1,579.82 –13,894.
10B.book Page 70 Wednesday, June 21, 2000 5:19 PM * $PRUWL]H WKH VHFRQG \HDU 13– 24 –1,706.69 –13,767.79 176,713.
.book Page 71 Wednesday, June 21, 2000 5:19 PM $PRUWL]H WKH VW WK DQG WK SD\PHQWV 0 * 0 * 0 * 1.00 1– 1 –310.42 0.00 13,939.58 25.00 25– 25 –220.21 –90.21 9,193.28 54.00 54– 54 –290.37 –20.05 1,801.
.book Page 72 Wednesday, June 21, 2000 5:19 PM Interest Rate Conversions * *Z *b 7KH ,QWHUHVW &RQYHUVLRQ DSSOLFDWLRQ XVHV WKUHH NH\V DQG 7KH\ FRQYHUW EHWZHHQ QRPLQDO DQG DQQXDO HIIHFWLYH LQWHUHVW UDWHV 1RPLQDO DQG HIIHFWLYH LQWHUHVW UDWHV DUH GHVFULEHG RQ SDJH ,I \RX NQRZ DQ DQQXDO QRPLQDO LQWHUHVW UDWH DQG \RX ZLVK WR VROYH IRU WKH FRUUHVSRQGLQJ DQQXDO HIIHFWLYH UDWH (QWHU WKH QRPLQDO UDWH DQG SUHVV (QWHU WKH QXPEHU RI FRPSRXQGLQJ SHULRGV DQG SUHVV &DOFXODWH WKH HIIHFW
.book Page 73 Wednesday, June 21, 2000 5:19 PM First Bank * *b *Z Keys: * *b *Z Display: Description: 6.70 6WRUHV QRPLQDO UDWH 6WRUHV TXDUWHUO\ FRPSRXQGLQJ SHULRGV &DOFXODWHV DQQXDO HIIHFWLYH UDWH 4.00 6.87 Second Bank * *b *Z 6.65 12.00 6.86 6WRUHV QRPLQDO UDWH 6WRUHV PRQWKO\ FRP SRXQGLQJ SHULRGV &DOFXODWHV DQQXDO HIIHFWLYH UDWH Third Bank 6.63 360.00 6.
10B.book Page 74 Wednesday, June 21, 2000 5:19 PM 7R DGMXVW DQ LQWHUHVW UDWH ZKHQ WKH FRPSRXQGLQJ SHULRG GLIIHUV IURP WKH SD\PHQW SHULRG FRPSOHWH WKH IROORZLQJ VWHSV (QWHU WKH QRPLQDO UDWH DQG SUHVV (QWHU WKH QXPEHU RI FRPSRXQGLQJ SHULRGV LQ D \HDU DQG SUHVV 6ROYH IRU WKH HIIHFWLYH UDWH E\ SUHVVLQJ (QWHU WKH QXPEHU RI SD\PHQW SHULRGV LQ D \HDU DQG SUHVV 6ROYH IRU WKH DGMXVWHG QRPLQDO UDWH E\ SUHVVLQJ * *b *Z * *b Example: Monthly Payments, Daily Compounding.
chapt_6.
chapt_6.fm Page 76 Thursday, June 22, 2000 12:32 PM XXX 11,765.29 Flows are 1 2 received positive. 3 -2,000.00 Flows are paid out negative. -4,000.00 -5,000.00 *& *b (, Keys: (, (, , *9 d 76 Display: Description: 0.
chapt_6.
chapt_6.
chapt_6.fm Page 79 Thursday, June 22, 2000 12:32 PM Example. (QWHU WKH FDVK IORZV IURP WKH SUHFHGLQJ GLDJUDP DQG FDOFXODWH WKH ,55 <5 7KHQ FDOFXODWH WKH HIIHFWLYH LQWHUHVW UDWH $VVXPH WKHUH DUH SHULRGV SHU \HDU *& *b (, Keys: , *C , *C , *9 Display: Description: 0.
chapt_6.
chapt_6.fm Page 81 Thursday, June 22, 2000 12:32 PM +RZ PXFK VKRXOG \RX SD\ IRU WKH FRQWUDFW LI \RX ZLVK WR \LHOG D \HDUO\ UDWH RI RQ \RXU LQYHVWPHQW" I/YR = 15% 5,000 4 *& *b , Keys: , *C , , *C , *C , *C , , 10,000 5,000 9 10 7,500 15 25 Display: Description: 0.
fm Page 82 Thursday, June 22, 2000 12:32 PM *C , Keys: Display: Description: 9.00 (QWHUV QXPEHU RI RFFXUUHQFHV (QWHUV QH[W FDVK IORZ 10,000.00 , , *C 7KH FDVK IORZV WKDW GHVFULEH \RXU SURVSHFWLYH LQYHVWPHQW DUH QRZ LQ WKH FDOFXODWRU
fm Page 83 Thursday, June 22, 2000 12:32 PM Calculating Internal Rate of Return *& *9 3UHVV VWRUH QXPEHU RI SHULRGV SHU \HDU LQ 3 <5 (QWHU WKH FDVK IORZV XVLQJ DQG 3UHVV , C :KHQ \RX FDOFXODWH ,55 <5 \RX JHW WKH DQQXDO QRPLQDO UDWH WKDW JLYHV DQ 139 RI ]HUR 7KH IROORZLQJ H[DPSOH XVHV WKH FDVK IORZV WKDW ZHUH HQWHUHG LQ WKH SUHYLRXV H[DPSOH 0RUH WKDQ RQH ,55 <5 FDQ H[LVW ,I \RX JHW WKH No Solution PHVVDJH VHH $SSHQGL[ % SDJH Example.
fm Page 84 Thursday, June 22, 2000 12:32 PM Automatic Storage of IRR/YR and NPV :KHQ \RX FDOFXODWH 139 WKH UHVXOW LV VWRUHG LQ 39 IRU \RXU FRQYHQLHQFH 7R UHFDOO WKDW UHVXOW SUHVV ,I \RX KDYHQ·W FKDQJHG WKH 790 YDOXHV IURP WKH ODVW H[DPSOH XVLQJ 139 SDJH ZKHQ \RX SUHVV WKH UHVXOW LV .
10B.
10B.
10B.book Page 87 Wednesday, June 21, 2000 5:19 PM Correcting Statistical Data *@ ,QFRUUHFW HQWULHV FDQ EH GHOHWHG XVLQJ ,I HLWKHU YDOXH RI DQ [ \ SDLU LV LQFRUUHFW \RX PXVW GHOHWH DQG UHHQWHU ERWK YDOXHV Correcting One-Variable Data 7R GHOHWH DQG UHHQWHU VWDWLVWLFDO GDWD .
.book Page 88 Wednesday, June 21, 2000 5:19 PM Keys *M 3RSXODWLRQ VWDQGDUG GHYLDWLRQ RI WKH [ YDOXHV *3 [ YDOXH *4 *4 \ YDOXH *i to Display Description 3RSXODWLRQ VWDQGDUG GHYLDWLRQ RI WKH \ YDOXHV LI \RX HQWHUHG \ GDWD (VWLPDWH RI [ IRU D JLYHQ &RUUHODWLRQ FRHIILFLHQW YDOXH RI \ (VWLPDWH RI \ IRU D JLYHQ 6ORSH P RI FDOFXODWHG YDOXH RI [ OLQH \ LQWHUFHSW E RI WKH FDOFXODWHG OLQH 6ORSH P RI WKH FDOFXODWHG OLQH 7KH VDPSOH VWDQGDUG GHYLDWLRQ DVVXPHV WKDW WKH GDWD LV D VDP
10B.book Page 89 Wednesday, June 21, 2000 5:19 PM Example 1.
10B.book Page 90 Wednesday, June 21, 2000 5:19 PM Keys: *j 0 A 0 A 0 A 0 A *$ *i *M *i )= Display: Description: 0.00 1.
10B.book Page 91 Wednesday, June 21, 2000 5:19 PM Linear Estimation. 7KH VWUDLJKW OLQH FDOFXODWHG E\ OLQHDU UHJUHVVLRQ FDQ EH XVHG WR HVWLPDWH D \ YDOXH IRU D JLYHQ [ YDOXH RU YLFH YHUVD (QWHU WKH [ \ GDWD XVLQJ WKH LQVWUXFWLRQV RQ SDJH (QWHU WKH NQRZQ [ YDOXH RU \ YDOXH n 7R HVWLPDWH [ IRU WKH JLYHQ \ HQWHU WKH \ YDOXH WKHQ SUHVV n 7R HVWLPDWH \ IRU WKH JLYHQ [ HQWHU WKH [ YDOXH WKHQ SUHVV *3 *4 Example: Forecasting.
10B.book Page 92 Wednesday, June 21, 2000 5:19 PM Keys: *j 0 A 0 A 0 A 0 A 0 A 0 A *4 *i *3*i Display: Description: 0.00 &OHDUV VWDWLVWLFDO UHJLVWHUV (QWHUV PLQXWHV DQG VDOHV IRU FRQVHFXWLYH ZHHNV 1.00 2.00 3.00 4.00 5.00 6.00 376.25 425.88 0.90 &DOFXODWHV \ LQWHUFHSW E 'LVSOD\V VORSH &DOFXODWHV FRUUHODWLRQ FRHIILFLHQW (VWLPDWH ZKDW WKH OHYHO RI VDOHV ZRXOG EH LI WKH EXVLQHVV SXUFKDVHG RU PLQXWHV RI DGYHUWLVLQJ *4 3,357.38 *4 3,783.
10B.book Page 93 Wednesday, June 21, 2000 5:19 PM Weighted Mean 7KH IROORZLQJ SURFHGXUH FDOFXODWHV WKH ZHLJKWHG PHDQ RI GDWD SRLQWV [ [ « [Q RFFXUULQJ ZLWK ZHLJKWV \ \ « \Q 0 A WR HQWHU [ \ SDLUV 7KH \ YDOXHV DUH WKH ZHLJKWV RI *E 8VH DQG WKH [ YDOXHV 3UHVV Example.
10B.
10B.book Page 95 Wednesday, June 21, 2000 5:19 PM 8 Additional Examples Business Applications Setting a Sales Price 2QH PHWKRG IRU VHWWLQJ WKH SHU XQLW VDOHV SULFH LV WR GHWHUPLQH WKH FRVW RI SURGXFWLRQ SHU XQLW DQG WKHQ PXOWLSO\ E\ WKH GHVLUHG UDWH RI UHWXUQ )RU WKLV PHWKRG WR EH DFFXUDWH \RX PXVW LGHQWLI\ DOO FRVWV DVVRFLDWHG ZLWK WKH SURGXFW 7KH IROORZLQJ HTXDWLRQ FDOFXODWHV XQLW SULFH EDVHG RQ WRWDO FRVW DQG UDWH RI UHWXUQ 35,&( 727$/ &267 ÷ 180%(5 2) 81,76 ï 571 ÷ Example.
10B.book Page 96 Wednesday, June 21, 2000 5:19 PM Forecasting Based on History 2QH PHWKRG RI IRUHFDVWLQJ VDOHV PDQXIDFWXULQJ UDWHV RU H[SHQVHV LV UHYLHZLQJ KLVWRULFDO WUHQGV 2QFH \RX KDYH KLVWRULFDO GDWD WKH GDWD DUH ILW WR D FXUYH WKDW KDV WLPH RQ WKH [ D[LV DQG TXDQWLW\ RQ WKH \ D[LV Example.
10B.
10B.book Page 98 Wednesday, June 21, 2000 5:19 PM Loans and Mortgages Simple Annual Interest Example.
10B.book Page 99 Wednesday, June 21, 2000 5:19 PM Example.
10B.book Page 100 Wednesday, June 21, 2000 5:19 PM Example. $Q LQYHVWRU ZLVKHV WR SXUFKDVH D PRUWJDJH WDNHQ RXW DW IRU \HDUV 6LQFH WKH PRUWJDJH ZDV LVVXHG PRQWKO\ SD\PHQWV KDYH EHHQ PDGH 7KH ORDQ LV WR EH SDLG LQ IXOO D EDOORRQ SD\PHQW DW WKH HQG RI LWV ILIWK \HDU :KDW LV WKH \LHOG WR WKH SXUFKDVHU LI WKH SULFH RI WKH PRUWJDJH LV " Step 1. &DOFXODWH 307 0DNH VXUH )9 6HW WR (QG 0RGH 3UHVV *O LI *b .
10B.book Page 101 Wednesday, June 21, 2000 5:19 PM Step 3. (QWHU DFWXDO FXUUHQW YDOXHV IRU 1 DQG 39 WKHQ ILQG WKH QHZ , <5 IRU WKH GLVFRXQWHG PRUWJDJH ZLWK EDOORRQ P P ( . Keys: Display: Description: 18.00 6WRUHV UHPDLQLQJ QXPEHU RI SD\PHQWV 6WRUHV SULFH RI PRUWJDJH &DOFXODWHV WKH UHWXUQ RQ WKLV GLVFRXQWHG PRUWJDJH –79,000.00 20.
.book Page 102 Wednesday, June 21, 2000 5:19 PM / 0.00 2 . –1,230.26 160,000.00 156,800 8.72 7KH ORDQ ZLOO EH FRPSOHWHO\ SDLG RII LQ \HDUV &DOFXODWHV SD\PHQW 5HFDOOV ORDQ DPRXQW 6XEWUDFWV SRLQWV &DOFXODWHV $35 FRQVLGHULQJ IHHV Example: Interest-Only Loan With Fee.
10B.
.book Page 104 Wednesday, June 21, 2000 5:19 PM P / 2 6WRUHV WHUP RI ORDQ (QWHUV DPRXQW OHIW WR SD\ DIWHU SD\PHQWV &DOFXODWHV SD\PHQW DPRXQW 36.00 0.00 –157.03 Automobile Loan Example.
10B.book Page 105 Wednesday, June 21, 2000 5:19 PM &DOFXODWH WKH VHFRQG RSWLRQ . 2 " P Keys: Display: Description: 11,500.00 6WRUHV ORDQ DPRXQW ZLWK UHEDWH 6WRUHV VHFRQG LQWHUHVW UDWH &DOFXODWHV SD\PHQW &DOFXODWHV WRWDO LQWHUHVW DQG SULQFLSDO 9.50 –368.38 –13,261.
.book Page 106 Wednesday, June 21, 2000 5:19 PM What if … TVM Calculations 2QH RI WKH PRVW YDOXDEOH DVSHFWV RI WKH +3 %,,·V 790 DSSOLFDWLRQ LV WKH HDVH ZLWK ZKLFK LW KDQGOHV WKH TXHVWLRQ ´ZKDW LI «µ LQ ILQDQFLDO FDOFXODWLRQV )RU H[DPSOH RQH RI WKH PRVW SRSXODU ´ZKDW LI «µ TXHVWLRQV LV ´:KDW LI WKH LQWHUHVW UDWH FKDQJHV WR «" +RZ ZLOO WKDW DIIHFW P\ SD\PHQW"µ 7R DQVZHU WKLV TXHVWLRQ RQFH \RX KDYH FDOFXODWHG D SD\PHQW EDVHG RQ RQH LQWHUHVW UDWH DOO \RX QHHG WR GR LV HQWHU WKH QHZ LQWHUHVW UDWH D
.book Page 107 Wednesday, June 21, 2000 5:19 PM Part 2.
.book Page 108 Wednesday, June 21, 2000 5:19 PM Savings Saving for College Costs 6XSSRVH \RX VWDUW VDYLQJ QRZ WR DFFRPPRGDWH D IXWXUH VHULHV RI FDVK RXWIORZV $Q H[DPSOH RI WKLV LV VDYLQJ PRQH\ IRU FROOHJH 7R GHWHUPLQH KRZ PXFK \RX QHHG WR VDYH HDFK SHULRG \RX PXVW NQRZ ZKHQ \RX·OO QHHG WKH PRQH\ KRZ PXFK \RX·OO QHHG DQG DW ZKDW LQWHUHVW UDWH \RX FDQ LQYHVW \RXU GHSRVLWV Example.
10B.book Page 109 Wednesday, June 21, 2000 5:19 PM :KHQ FRPSRXQGLQJ RFFXUV RQO\ RQFH SHU \HDU WKH HIIHFWLYH UDWH DQG WKH QRPLQDO UDWH DUH WKH VDPH . 9.38 6HW WR %HJLQ PRGH 3UHVV *b 2 P / *O LI 6WRUHV HIIHFWLYH UDWH DV DQQXDO UDWH BEGIN DQQXQFLDWRU LV QRW GLVSOD\HG 1.00 15,000.00 4.00 0.00 –52,713.
book Page 110 Wednesday, June 21, 2000 5:19 PM *O LI 6HW WR (QG PRGH 3UHVV (/ *b P . 2 BEGIN DQQXQFLDWRU LV GLVSOD\HG 52,713.28 0.00 12.00 144.00 9.00 –204.
book Page 111 Wednesday, June 21, 2000 5:19 PM 6HW WR %HJLQ PRGH 3UHVV *b P . (2 / 2" P Keys: / " ( / / . 2 *O LI BEGIN DQQXQFLDWRU LV QRW GLVSOD\HG Display: Description: 1.
10B.book Page 112 Wednesday, June 21, 2000 5:19 PM Value of a Taxable Retirement Account 7KLV SUREOHP XVHV WKH 790 DSSOLFDWLRQ WR FDOFXODWH WKH IXWXUH YDOXH RI D WD[DEOH UHWLUHPHQW DFFRXQW WKDW UHFHLYHV UHJXODU DQQXDO SD\PHQWV EHJLQQLQJ WRGD\ %HJLQ PRGH 7KH DQQXDO WD[ RQ WKH LQWHUHVW LV SDLG RXW RI WKH DFFRXQW $VVXPH WKH GHSRVLWV KDYH EHHQ WD[HG DOUHDG\ Example.
10B.book Page 113 Wednesday, June 21, 2000 5:19 PM Cash Flow Examples Wrap-Around Mortgages $ ZUDS DURXQG PRUWJDJH LV D FRPELQDWLRQ RI UHILQDQFLQJ D PRUWJDJH DQG ERUURZLQJ DJDLQVW UHDO HVWDWH HTXLW\ 8VXDOO\ WKH WZR XQNQRZQ TXDQWLWLHV LQ WKH ZUDSSHG PRUWJDJH DUH WKH QHZ SD\PHQW DQG WKH UDWH RI UHWXUQ WR WKH OHQGHU 7R DUULYH DW D VROXWLRQ \RX QHHG WR XVH ERWK WKH 790 DQG WKH FDVK IORZ DSSOLFDWLRQV Example.
10B.book Page 114 Wednesday, June 21, 2000 5:19 PM 7KHQ WR FDOFXODWH WKH OHQGHU·V UHWXUQ HQWHU FDVK IORZV WKDW UHSUHVHQW WKH FRPSOHWH SLFWXUH RI WKH ZUDS DURXQG PRUWJDJH IURP WKH OHQGHU·V SRLQW RI YLHZ 47,510.22 861.59 . 1 2 3 . . 4 . 82 83 . . 84 180 -754.00 -82,510.
.book Page 115 Wednesday, June 21, 2000 5:19 PM Net Future Value 7KH QHW IXWXUH YDOXH FDQ EH FDOFXODWHG E\ XVLQJ WKH 790 NH\V WR VOLGH WKH QHW SUHVHQW YDOXH 139 IRUZDUG RQ WKH FDVK IORZ GLDJUDP Example: Value of a Fund.
10B.book Page 116 Wednesday, June 21, 2000 5:19 PM (, . *N P 2 / 116 8: Additional Examples CF6 –2,000.00 8.80 –29,203.14 24.00 (QWHUV FDVK IORZ JURXS 6WRUHV DQQXDO LQWHUHVW UDWH &DOFXODWHV QHW SUHVHQW YDOXH 139 DXWRPDWLFDOO\ VWRUHG DV 39 6WRUHV NQRZQ YDOXHV 0.00 34,800.
10B.
.book Page 118 Wednesday, June 21, 2000 5:19 PM Q: :KDW GRHV DQ ´(µ LQ D QXPEHU IRU H[DPSOH (² PHDQ" A: ([SRQHQW RI WHQ IRU H[DPSOH ï ² 5HIHU WR ´6FLHQWLILF 1RWDWLRQµ RQ SDJH Q: :K\ GR , JHW D ZURQJ DQVZHU RU WKH No Solution PHVVDJH ZKHQ XVLQJ 790" A: %H VXUH WR HQWHU D YDOXH IRU IRXU RI WKH ILYH 790 YDOXHV EHIRUH \RX VROYH IRU WKH ILIWK HYHQ LI RQH RI WKH YDOXHV LV ]HUR 'RQ·W IRUJHW WR VWRUH D ]HUR IRU LI \RX FRPSOHWHO\ SD\ RII D ORDQ &OHDULQJ DOO WKH UHJLVWHUV E
10B.
.book Page 120 Wednesday, June 21, 2000 5:19 PM 5HPRYH ERWK EDWWHULHV 7KHUH LV D GDQJHU RI H[SORVLRQ LI EDWWHULHV DUH LQFRUUHFWO\ UHSODFHG Warning 5HSODFH RQO\ ZLWK WKH VDPH W\SH RI EDWWHU\ RU ZLWK HTXLYDOHQW EDWWHULHV DV UHFRPPHQGHG E\ WKH PDQXIDFWXUHU 'LVSRVH RI XVHG EDWWHULHV DFFRUGLQJ WR WKH PDQXIDFWXUHU·V LQVWUXFWLRQV 'R QRW PXWLODWH SXQFWXUH RU GLVSRVH RI EDWWHULHV LQ ILUH 7KH EDWWHULHV FDQ EXUVW RU H[SORGH UHOHDVLQJ KD]DUGRXV FKHPLFDOV 'R QRW XVH QHZ DQG ROG EDWWHULHV WRJHWKHU
10B.
10B.
10B.
10B.
10B.book Page 125 Wednesday, June 21, 2000 5:19 PM Service Agreements ,Q WKH 8 6 D VXSSRUW DJUHHPHQW LV DYDLODEOH IRU UHSDLU DQG VHUYLFH 5HIHU WR WKH IRUP LQ WKH IURQW RI WKH PDQXDO )RU DGGLWLRQDO LQIRUPDWLRQ FRQWDFW D +3 6HUYLFH &HQWHU VHH WKH LQVLGH RI WKH EDFN FRYHU Regulatory Information U.S.A.
Japan Disposal of Waste Equipment by Users in Private Household in the European Union This symbol on the product or on its packaging indicates that this product must not be disposed of with your other household waste. Instead, it is your responsibility to dispose of your waste equipment by handing it over to a designated collection point for the recycling of waste electrical and electronic equipment.
during the warranty period, HP will replace software media which does not execute its programming instructions due to such defects. 3. HP does not warrant that the operation of HP products will be uninterrupted or error free. If HP is unable, within a reasonable time, to repair or replace any product to a condition as warranted, you will be entitled to a refund of the purchase price upon prompt return of the product. 4.
10B.
appendix_B.
appendix_B.fm Page 130 Thursday, June 22, 2000 12:33 PM n Case 5.
.fm Page 131 Thursday, June 22, 2000 12:33 PM Effect of Using Σ– to Correct Data 7KH +3 %,, VWRUHV WKH VWDWLVWLFDO QXPEHUV LQ DQ ´DFFXPXODWHGµ IDVKLRQ ,W GRHVQ·W VWRUH HYHU\ QXPEHU WKDW \RX HQWHU EXW UDWKHU LW SHUIRUPV LQWHUPHGLDWH FDOFXODWLRQV ZKHQ \RX SUHVV WKH NH\ 7KH NH\ SHUIRUPV WKH RSSRVLWH LQWHUPHGLDWH FDOFXODWLRQV WR HIIHFWLYHO\ UHPRYH D QXPEHU RU SDLU RI QXPEHUV IURP WKH VWRUHG UHVXOWV A *@ *@ A GRHV QRW GHOHWH URXQGLQJ HUURUV :KHQ FRUUHFWLQJ VWDWLVWLFDO GDWD WKDW PD\ RFFXU G
.fm Page 132 Thursday, June 22, 2000 12:33 PM Equations Margin and Markup Calculations 35& – &267 0$5 = × 35& 35& – &267 × 08 = &267 Time Value of Money (TVM) 3D\PHQW 0RGH )DFWRU 6 IRU (QG PRGH IRU %HJLQ PRGH I/YR L = P/YR L – L × S 0 = PV + + --------------- × PMT × ------------------------------------- L ------- –N L – N
appendix_B.
.fm Page 134 Thursday, June 22, 2000 12:33 PM Cash-Flow Calculations L M &)M SHULRGLF LQWHUHVW UDWH WKH JURXS QXPEHU RI WKH FDVK IORZ DPRXQW RI WKH FDVK IORZ IRU JURXS M QM QXPEHU RI WLPHV WKH FDVK IORZ RFFXUV IRU JURXS M N WKH JURXS QXPEHU RI WKH ODVW JURXS RI FDVK IORZV 1M ∑ n l WRWDO QXPEHU RI FDVK IORZV SULRU WR JURXS M 1≤l
.fm Page 135 Thursday, June 22, 2000 12:33 PM Statistics ∑ [\ ∑[ ∑y [ = ------- y = ------- [ Z = ---------Q Q ∑\ 2 Sx = (∑ [) ∑ [ – -------------Q ------------------------------Q– 2 Sy = (∑ y) ∑ y – -------------Q -----------------------------Q– 2 (∑ [) ∑ [ – -------------Q ------------------------------- σy = Q σx = 2 (∑ y) ∑ y – -------------Q ------------------------------ Q ∑ x∑ y ∑ xy – --------------n r = ------------------------------------------------------------------
.fm Page 136 Thursday, June 22, 2000 12:33 PM
appendix_C.
appendix_C.
10B.book Page 139 Wednesday, June 21, 2000 5:19 PM Index .
10B.
10B.
10B.
10B.
10B.
