HP 10BII manual

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A good user manual

The rules should oblige the seller to give the purchaser an operating instrucion of HP 10BII, along with an item. The lack of an instruction or false information given to customer shall constitute grounds to apply for a complaint because of nonconformity of goods with the contract. In accordance with the law, a customer can receive an instruction in non-paper form; lately graphic and electronic forms of the manuals, as well as instructional videos have been majorly used. A necessary precondition for this is the unmistakable, legible character of an instruction.

What is an instruction?

The term originates from the Latin word „instructio”, which means organizing. Therefore, in an instruction of HP 10BII one could find a process description. An instruction's purpose is to teach, to ease the start-up and an item's use or performance of certain activities. An instruction is a compilation of information about an item/a service, it is a clue.

Unfortunately, only a few customers devote their time to read an instruction of HP 10BII. A good user manual introduces us to a number of additional functionalities of the purchased item, and also helps us to avoid the formation of most of the defects.

What should a perfect user manual contain?

First and foremost, an user manual of HP 10BII should contain:
- informations concerning technical data of HP 10BII
- name of the manufacturer and a year of construction of the HP 10BII item
- rules of operation, control and maintenance of the HP 10BII item
- safety signs and mark certificates which confirm compatibility with appropriate standards

Why don't we read the manuals?

Usually it results from the lack of time and certainty about functionalities of purchased items. Unfortunately, networking and start-up of HP 10BII alone are not enough. An instruction contains a number of clues concerning respective functionalities, safety rules, maintenance methods (what means should be used), eventual defects of HP 10BII, and methods of problem resolution. Eventually, when one still can't find the answer to his problems, he will be directed to the HP service. Lately animated manuals and instructional videos are quite popular among customers. These kinds of user manuals are effective; they assure that a customer will familiarize himself with the whole material, and won't skip complicated, technical information of HP 10BII.

Why one should read the manuals?

It is mostly in the manuals where we will find the details concerning construction and possibility of the HP 10BII item, and its use of respective accessory, as well as information concerning all the functions and facilities.

After a successful purchase of an item one should find a moment and get to know with every part of an instruction. Currently the manuals are carefully prearranged and translated, so they could be fully understood by its users. The manuals will serve as an informational aid.

Table of contents for the manual

  • Page 1

    檔名: title _English- 050105. doc 頁碼: 第 1/2 頁 hp 10BII financial calculator user ’s guide Edition 1 HP part number F1902-90 001[...]

  • Page 2

    檔名: 10BII _English( MP02-2)- 040917( Print) 頁碼: 第 2/2 頁 Notice REGISTER YOUR PR ODUCT AT: www. register.hp.com THIS MANUAL AND A NY EXAMPLES CONTAINED HEREIN ARE PROVIDED “A S IS” AND ARE SUBJ ECT TO CH ANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANT Y OF ANY K IND WITH REGARD TO TH IS MANUAL , INCLUDI NG, BUT NOT LIM [...]

  • Page 3

    Welcome to the HP 10BII 3 W elcome to the HP 10BII <R X U  + 3    % , ,  UHI OHFWVWKHV XSHULRUTXDOLWDQGDWWHQ WLRQWRGHWDLOLQ HQJLQHHULQ JDQGPDQXIDFWXULQ JWKDWKDYHGLVWLQJXLVKHG+HZOHWW3DFN DUG SURGXFWVIRU  HDUV  +HZOHWW3DFNDUG VWDQ GV EH KLQG WKLV?[...]

  • Page 4

    4 Welcome to the HP 10BII Features 7KH IHDWXUHVR IWK H+3%,, DQGWKH PDQXDOUHI OHFWWKHQHHGVDQG ZLVKHVRI PDQFXV WRP HUV $ODUJH FKDUDFWHUGLVS OD  $Q $WD*ODQFH VHFWLRQ LQWKHPDQXDOIR UTXLFNUHIHUHQFH $SSOLFDWLRQ VWRVR OYHEXVLQHVVDQG[...]

  • Page 5

    Contents 5 Contents 11 At a Glance. .. 11 %DVLFV³$WD* ODQFH 12 3HUFHQ WDJHV³$WD*ODQ FH 13 0HPRU .HV³ $WD*ODQFH« 14 7LPH9DOXHRI 0RQH 790³$WD*ODQFH« 15 790:KDWLI«³ $WD*ODQFH« 16 $PRUWL]DWLR Q³$WD*ODQ FH« 17 ,QWHUHV W5DWH&RQYHUV LRQ³$WD*ODQ [...]

  • Page 6

    6C o n t e n t s 2 33 Busine ss Perce ntage s 33 3HUFHQW.H 33 )LQGLQJD3HUFH QW 34 $GGLQJRU6XEWUDFWLQJD3H UFHQW 34 3HUFHQW&KDQ JH 35 0DUJLQDQG0DUNXS&DOFXODWLR QV 35 0DUJLQ&DOFXODWLRQV 35 0DUNXSRQ&R VW&DOFXODWLRQV 36 8VLQJ0DUJLQ DQG0DUNXS 7RJHWKHU 3 37 Number St orag e and [...]

  • Page 7

    Contents 7 5 53 Time Val ue of M oney Calcu latio ns 53 8VLQJWK H790$SS OLFDWLRQ 54 &OHDULQJ790 55 %HJLQDQG(Q G0RGHV 55 /RDQ &DO FX OD WL RQV 60 6DYLQJV&DOFXODWLRQ V 63 /HDVH&DOFXODWLR QV 67 $PRUWL]DWLR Q 72 ,QWHUHV W5DWH&RQYHUV LRQV 72 ,QYHVWPHQ WV:LWK'LI IHUHQW&RP SRXQ GLQJ[...]

  • Page 8

    8C o n t e n t s 8 95 Addi tion al E xamp les 95 %XVLQHVV$SS OLFDWLRQV 95 6HWWLQJD6DOHV3ULFH 96 )RUHFDVWLQJ %DVHGRQ +LVWRU 97 &RVW RI1RW  7DNL QJ D &DVK'L VFRX QW 98 /RDQVDQG0RU WJDJHV 98 6LPSOH$QQXDO,Q WHUHVW 98 &RQW LQ XRX V &RP SRXQ GLQJ 99 <LHOGRID'LVFR[...]

  • Page 9

    Contents 9 123 ,IWK H&DOFXODWRU5HTXLU HV6HUYLFH 123 2EWDLQ LQJ6HUYLFH 124 6HUYLFH&K DUJH 124 6KLS SLQJ,Q VWUXFWLRQV 124 :DUUDQ W RQ 6HUYLF H 125 6HUYLFH$JUH HPHQWV 125 5HJXODWRU ,QI RUPDWLRQ 126 (QGX VHU WHUPV DQG F RQGL W LRQV B 12 9 More Abou t Calcu lati ons 129 ,55<5&DOFXODWLRQ[...]

  • Page 10

    TOC.fm Page 1 0 Thursday, June 22, 2000 12:31 PM[...]

  • Page 11

    11 At a Glance... At a Glance... 7KLV VHFWLRQLV GHVLJQHGIRURXLIRX·UHDOUHDGIDPLOLDUZLWKFDOFXODWRU  RSHUDWLR QRUI LQDQFLDOFRQ FH SWV < RXFDQXVHLWIRUTXLFNUHIHUHQ FH7KH UHVWRIWKHP DQXDOLVILOOHGZLWKH[SODQ DWLRQVDQ GH[DPSOHVR IWKH FRQF[...]

  • Page 12

    12 At a Glance... P ercentages—At a Gl ance... $GGWR )LQGWKHPDU JLQLIWKHFR VWLVDQGVHOOLQJSU LFHLV ,IWKHFRV WLVDQGWKHPDU NXSLVZKDWLVWKHVHOOLQ JSULFH" 3HUFHQW?[...]

  • Page 13

    At a Glance... 1 3 Memory K e ys—At a Glance… 0XOWLSODQGEVWRULQJ´ïµDVDFR QVWDQ WRSHUDWLRQ  6WRUHLQUHJLVWHUWK HQUHFDOOLW 6WRUHVDFRQ VWDQWRS HUDWLRQ 6WRUHVDYDOXHLQWKH0UHJLVWHUPH PRU OR FDWL[...]

  • Page 14

    14 At a Glance... Time V alue of Mone y (TVM)—At a G lance… (QWHUDQIR XURI WKHILYHY DOXHVDQ GVROYHIRUWKHI LIWK $QHJD WLY HVLJQLQWKHGLVSODUH SUHV HQWVPRQ HSDLGRXW PRQHU HFHLY HGLVSRVLWLYH  ,IRXERU U RZ39IRU?[...]

  • Page 15

    At a Glance... 1 5 TVM What i f…—At a Glance… ,WLV QRWQHFHVVDU WR UHHQWHU790Y DOXHVIRUHDFK H[DPSOH 8VLQJWKHYDOXHVRXMXVWHQWHUHGSDJ H KRZPXFKFDQ RXERU URZLIRXZDQWDSDPHQWRI " +RZPXFKFDQRXERU URZ[...]

  • Page 16

    16 At a Glance... Amor tization—At a Glance… $IWHUFDOFXODWLQJDSDPHQ WXVLQJ7LPH9 DOXHR I0RQH  790HQWHUWKHSHU LRGVWRDPR UWL]HD QGSUHV V  7KHQS UHVV  WRFRQWLQXDOOFFOHWKU RXJKWKHS ULQFLSDO LQWHUHVWDQGEDOD QFHYDOXHVLQGLFDWHGEWKH?[...]

  • Page 17

    At a Glance... 1 7 Interest Rate Con ver sion—At a Glance… 7 RFRQYHUWEHWZHHQQR PLQDODQ GHIIHFWLY HLQWHUHVWUDWHV HQWHUWKHNQRZQ UDWHDQGWKHQXPE HURISHU LRGVSHU HDU WKHQVROYHIRUWK HXQNQRZQU DWH )LQGWKHDQQXDOHII HFWLY HLQWHUHVWUDWHRI QR[...]

  • Page 18

    18 At a Glance... IRR/Y R and N PV—At a Gla nce… ,IRXKDYHDQLQLWLDOFDVKRXWI ORZRIIR OORZHGEPRQWKOFDVK LQI ORZVRIDQGZKDWLVWK H ,55<5 " :K D WLV  [...]

  • Page 19

    At a Glance... 1 9 Statis tics—At a Glance… 8VLQJWKHI ROORZLQJGDWDILQ GWKHPHDQVRI  [ DQG WKHVDPSOHV WDQGDUG GHYLDWLRQVRI  [ DQG DQGWKH LQWHU FHSWDQGWK HVORSH RIWKHOLQHDU  UHJ UHVVLR QIRUHFDVWOLQH7KHQ XVHVXPPDWLRQVWDWLVWL[...]

  • Page 20

    20 At a Glance... Ke ys: Display: Description: 0.00 &OHDUVVWDWLVWLFVUHJLV WHUV  1.00 (QWHUVILUVW [ SDLU 2.00 (QWHUVVHFR QG [ SDLU 3.00 (QWHUVWKLUG [ S DLU  4.00 'LVSODVPHDQR I [  100.00 'LVSODVPHDQR I  2.00 'LVSODVVDPS OHVWDQ GDUGGHY[...]

  • Page 21

    At a Glance... 2 1 Key bo ard M a p 1. Time value of money (page 53) 2. Separate two numbers (page 28) 3. Per cent (page 33) 4. Constant (page 37) 5. Store and recal l (page 40) 6. Change sign (page 24) 7. Statistics key (page 27) 8. Shift key (page 27) 9. Clear display , cancel operation (page 2 5) 10. Clear all memor y (page 25) 11. On (page 87) [...]

  • Page 22

    fm Page 22 Sunday, June 25, 2000 2:21 PM[...]

  • Page 23

    1: Getting S tarted 23 1 Getting Star ted P ower On and Of f 7 R WXU QRQRXU+3 %,,SU HVV 7 RWXUQ WKHFDOFXODWRU  RIISUHVVWK HRUDQ JHVKLI WNH WKHQ DOVRZULWWHQ  6LQFHWKHFDOFXODWRUK DVFRQ WLQXRXVPHPRU WXU QLQJLWRI I GRH[...]

  • Page 24

    24 1: Getting Started :KHQD FDOFXODWLRQK DVE HHQFR PS OHWHGESUHVVLQ J SU HVVLQJD QXPEHUNHVWDU WVDQHZFDOFXODWLR Q ,IRXSUHVVD QRS HUDWRUNHDIWHUFRP SOHWLQJDFDOFXODWLR QWKH FDOFXODWLRQLVFR QWLQXHG < RXFDQGRFKDLQFDOFXODWLR QVZLW[...]

  • Page 25

    1: Getting S tarted 25 Understa nding the Display and Ke yboard Cursor 7KHFXU VRUBLVYLVLEOH ZKHQRXDUHHQWHULQ JDQXPEHU Clearing the Calculator :KHQ WKHFXUVRULVRQ HUDVHVWKHODVWGLJLW RXHQWHUHG 2WKHUZLVH FOHDUVWKHGLVSODDQGFDQ FHOVWKH FDO[...]

  • Page 26

    26 1: Getting Started Annunciators $QQXQFLDWRUVDU HVPE R OVLQWKHGLVS ODWKDWLQGLFDWHWKHVWDWXVR IWKH FDOFXODWRU Annunciator Status SHIFT 7K HVKLIWNH KDVEHHQSU HVVHG: KHQDQR WKHU NH LV  SUHVVHGW KH IXQFWLRQODEHOHG LQ RUDQJHRQ WKH NHLV[...]

  • Page 27

    1: Getting S tarted 27 Shift K e y 0RVWRI WKH+3%, ,NHVKDY HDVHFRQGR U´V KLIWHGµ IXQFWLRQ SULQWHGLQ RUDQJ HRQWK HNH 7K HRUDQ JHV KLI W NH LVXVHGWRDFFHVVWKHVH IXQFWLRQ V  :KHQ RXSUHVV WKHVKLIWDQQXQF LDWRU SHIF T ?[...]

  • Page 28

    28 1: Getting Started INPUT K ey 7KH  NHLVXVHGWRVH SD UDWHWZRQX PEHUV ZKHQXVLQJ WZ RQXPEH UI XQFWLRQV RUWZRYDULDEOHVWDWLVWLFV 7KH  NHFDQDOVREHXVHGWRHYDOXDWHDQSHQ GLQJDULWK PHWLF RSHUDWLR QVLQZKLFKFDVHWKHUHVXOWLVWKHV DPHDV[...]

  • Page 29

    1: Getting S tarted 29 T wo-Number Functions. :KHQDIXQ FWLRQUHTXLUHVWZR QXPEHUVWKHQXPEHUVDUHHQ WHUHGOLNHWKLV QXPEHU  QXPEHU IROORZHGE WKHRSHU DWLRQ3U HVVLQ J HYDOXDWHV WKHFXU UHQ WH[SUHVVLR QDQGGLVS ODVWKH INPUT  DQQXQFLDWRU) R UH[DPS OH[...]

  • Page 30

    30 1: Getting Started Speci fying Disp layed Decimal Pl aces 7 R VSHFLI WK HQXPEHURI GLVS ODHGGHFLPDOSODF HV  3UHVV   (Q WHUWK HQXPEHUR IGLJLWVWKURXJK WKDWRXZLVKWRDS SHDU  DIWHUWKHGHFLP DOSRLQ W :KHQDQXPEHULVWRR ODUJH RUW[...]

  • Page 31

    1: Getting S tarted 31 Displaying the Full Precision of Number s 7 RVHWRXUFDOFXODWRUWRGLVS ODQXPEHUVDVS UHF LVHODV SRVV LEOHSUHVV WUDLOLQJ]HURVDU HQRWGLVS ODHG 7 RWHPSRU DULOYLHZDOOGLJLWVRIWK HQXPEHU LQ WKHGLVSODUHJ DUGOHVVR IW[...]

  • Page 32

    32 1: Getting Started Rounding Numbers 7K HFDOFXODWRUV WRUHVDQGFDOFXODWHVXV LQJGLJLW QXPEHUV:KHQGLJLWDFFXUDFLVQR WGHVLUDEOHXVH WRURXQGWKHQXPEH UWRWKHGLVS ODHGIRU PD W EHIR UHXVLQJLWLQDFD OFXODWLRQ5RXQGLQJQXPEHUV LVXVHIXO?[...]

  • Page 33

    2: Business Percentages 3 3 2 Business P er c enta ges < RXFDQXVHWKH+3 %,,WRFDOF XODWHVLPS OHSHUF HQWS HUFHQ WFKDQJH FRVWSULFHPDUJLQ DQGPDU NXS  P e r cent Ke y 7KH  N HKDVWZRIXQFWLRQVI LQGLQJDS HUFHQWDQG DGGLQJRUVXE WUDFWLQJDSHU[...]

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    34 2: Business Percentages Adding or Subtracting a P er cent < RXFDQDGGRUVXE WUDFWDSHUF HQWLQ RQHFDOF XODWLRQ  Example . 'HFUHDV HE Example . < RX ERU URZ IURPD UHODWLY H DQG RXDJUHH  WR UHSD  WKH ORDQLQDHD U?[...]

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    2: Business Percentages 3 5 Mar gin and Markup Calculations 7KH+ 3%,,FD QFDOF XODWHFRVWVHOOLQ JSU LFHPDUJLQRU PDU NXS  7 R VHHDQ YDOXHXVHGEWKH0DUJLQDQG0DU NXSDSS OLFDWLR QSUH VV  DQGWKHQWKHNHRXZLVKWRVHH)RUH[DPSOHWRVHH[...]

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    36 2: Business Percentages Using Margin and Markup T og ether Example . $IR RGFRRSHUDWLYH EXVFDVHVRIFDQQH GVRXSZLWKDQLQY RLFH FRVWRI SH UFDVH  ,I WKH FRRS  URXWLQHOX VHV D  PD U NXS IRUZKDW SULFHVKR XOGLWVHOODFDVHRI [...]

  • Page 37

    3: Number Storag e and Arithmetic 37 3 Number Storage and Arithmetic Using S tored Num bers in Calc ulation s < RXFDQVWRUHQXPE HUVIRUUHXVHLQVHYHUDOGLIIHUH QWZD V 8VH &RQVWDQWWRVWR UHDQXPEHUDQGLWVR SHUDWR UIRUUH SHWLWLYH RSHUD WL RQV  8VH.H0HPR U ?[...]

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    38 3: Number Storage and Arithmetic Example . &DOFXODWHDQG Example . &DOFXODWHDQG Example . &DOFXODWH DQG  Keys Operat ion QXPEHU 6WRUHV´ QXPEHU µD[...]

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    3: Number Storag e and Arithmetic 39 Using t he M Register 7KH    DQG NHVSHUI RU P PHPRU RSHU DWLRQVRQ DVLQJOHVWRU DJH UHJLVWHUFDOOHGWKH0UHJLVWHU ,QPR VW FDVHVLWLVXQQHFHVVDU WRFOHDUWKH0UHJLVWHUVLQFH UHSODF HVWKHSU HYLRXVFRQWHQ WV [...]

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    40 3: Number Storage and Arithmetic Using Numbered Registers 7KH  DQG NHVDFFHVVWKHXVHU UHJLVWHUV7KH NHLVXVHGWRFRSWKHGLVS ODHGQXPEHUWRD GHVLJQDWHGUHJLVWHU7KH NHLVXVHGWRFRSDQXPEHU IURP DUHJLVWHUWR WKHGLVSOD  7 R V[...]

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    3: Number Storag e and Arithmetic 41 Doing Arithmetic Inside Registers < RXFDQGRDULWKP HWLFLQVLGHVWR UDJHUHJLV WHUV5 WKUR XJK5 7K HUHVXOW LVVWRUHGLQWKHU HJLVWHU  Examp le. 6WRUHLQ 5 P XOWLSOEDQGVWRUHWK HUHVXOWLQ5  Keys New[...]

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    42 3: Number Storage and Arithmetic Doing Arithmetic 0DWKIXQF WLRQVR SHUDWHRQWK HQXPEHULQ WKHGLVSOD  Example . &DOFXODWH  WKHQFDOFXODWH   Example . &DOFXODWHQD WXUDOORJDU LWKPH 7KHQF DOFXODWH Keys: Displ[...]

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    3: Number Storag e and Arithmetic 43 P ower Operator 7K HSRZHURSHUD WRU UDLVHVWKHS UHFHGLQJQXPEHU  YDOXHWRWKHSRZHURIWKHIROORZLQJQXPEHU  [ YDOXH Examp le. &DOFXODWH WKHQILQGWKHF XEHURR WRI Using P arentheses in Calculation[...]

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    44 3: Number Storage and Arithmetic 7 R GHOD  WKH GLYLVLRQXQWLO RX·YH VXEWUDFWHG IURP XVHSDUHQWKHV HV  &ORVLQJSD UHQWKH VHVDWWKHHQGRI WKHH[SUHV VLRQ FDQEHRP LWWHG) R U H[DPSOHHQWHULQJ´ ÷ ï ?[...]

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    4: Pi cturing Fina ncia l Pro blems 45 4 Picturing Financi al Pr ob lems How to approac h a Financial Prob lem 7KHI LQDQF LDOYRFDEXODU RIWKH+ 3%,,LV VLPSOLILHGWRDS SOWRDOO ILQDQFLDOI LHOGV ) RUH[DPSOHRXUSURIH VVLRQ PDXVHWKHWHU P  EDODQFH  EDOORRQSDPHQW ?[...]

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    46 4: Pict uri ng Fin anc ial Pr oble ms $QFDVKI ORZH[DP SOHFDQEHU HS UHVHQ WHGEDFDVKIORZGLDJ U DP$V RXGUDZDFDVKIORZGLDJ UD PLGHQWLIZKDWLVNQ RZQDQGXQNQRZQ  DERXWWKHWUDQ VDFWLRQ 7LPHLV UH SU HVHQWHG E D KRUL]R QWDO OLQH GLYLGHG LQWR[...]

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    4: Pi cturing Fina ncia l Pro blems 47 P eriods and Cash Flows ,QD GG LW LRQWR WK H VLJ Q FRQ Y HQW LRQ FDVK IORZ LQ J RXW  LV QHJDW L Y HF DVK IORZLQJLQ LVSRV LWLY HRQFDVKI ORZGLDJ UDPVWKHUHDUHVHYHUDOPRU H FRQVLGHUDWLR QV 7K H WLPH OLQH LV GLYLGHG[...]

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    48 4: Pict uri ng Fin anc ial Pr oble ms Compound Interest $FRPSR XQGLQWHU HVWFRQWUDFWLVOLNHDVHULHVR IVLPS OHLQWHUH VWFRQWUDFWV WKDW DUH FR QQH FWHG 7 K H OHQ JWK RI HDFK VLPS OHLQ WHUHVW FRQWUDFW LV HTXDOW R RQHFRP SRXQ GLQJSHULRG$WWKHHQ GRIHDFK?[...]

  • Page 49

    4: Pi cturing Fina ncia l Pro blems 49 Inte rest Rat es :KHQRXDSSURDFKD ILQDQFLDOSURE OHPLW LV LPSRU WDQWWRUHFRJQL]HWKDW WKHLQWHUHVWUDWHR UUDWHRI UHWXUQ FDQE HGHVFULEH GLQDWOHDVWWKUHH GLIIHUHQWZDV $V D S HULRGLFUDWH 7KLVLV WKHUDWH WKD[...]

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    50 4: Pict uri ng Fin anc ial Pr oble ms < RXFDQFDOFXODWHDQYDOXHDIWHUHQ WHULQJWKHR WKHUIRXU&DVKIORZ GLDJU DPVIR UORDQVPRU WJ DJHVOHDVHV VDYLQJVDFFRXQWVRUDQFR QWUDFW ZLWKUHJXODU FDVKIORZVRIWKH V DPHDPRXQWDUH QRU P DOOW UHDWHGDV[...]

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    4: Pi cturing Fina ncia l Pro blems 51 Recognizing a Cash Flow Pr ob lem $ILQDQFLDOS URE OHPWKDWGRHVQR WKDY HUHJXODUXQLIRU PSDPHQWV VRPHWLPHVFDOOHG XQHY HQ  FDVKI ORZVLVDFDVKIORZSUR EOHP UDWKHUWKDQD 790 SU REOH P $FDVKI ORZGLDJ UDPIRU DQLQYHVWPHQW[...]

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    ook Page 52 Wednesday, June 21, 2000 5:19 PM[...]

  • Page 53

    5: Time V alue of Money Calculations 53 5 Time V alue of Money Calculati ons Using the TVM Application 7K HWLPHYDOXHRIPRQ H790DSSOLFDWLRQ LVXVHGIRU  FRPSR XQGLQWHUH VWFDOFXODWLRQVWKDWLQYROYHUHJXODU  XQLIRU P FDVK IORZV² FDOOHG SDPHQWV  2Q FH WKH Y DOXHV DU H?[...]

  • Page 54

    54 5: Time Value of Money Calculations 7 R YHULIYDOXHV S UHVV    DQG  3UHVVLQ J UHFDOOVWKHWRWDOQXPE HURIS DPHQWVLQHDUV DQG VKRZVRXWKHQXPEHUR ISDPHQ WVSHUHDU5 HF DOOLQJWKHVH QXPEHUVGRHV QRWFKDQJ HWKHFRQ WHQWRI?[...]

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    5: Time V alue of Money Calculations 55 Begin and End Modes %HIRU HRXVWDU WD790FDOFXODWLRQLGHQWLIZK HWKHUWK H ILUVWSHU LRGLFSDPHQ WRFFXUVDWWKHEHJLQ QLQJR UHQGRI  WKHILUVWS HULRG,I WKHILUVWSDPHQWR FFXUVDWWKHHQ GRI WKHILUVWS HULRGVHW[...]

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    56 5: Time Value of Money Calculations Pa r t 2 . $W D SU LFH RI  ZK DW LQ WHUHVW UDWH LVQHFHVVDU WR ORZHU RXU SDPHQWEWR" Pa r t 3 . ,ILQWHU HVWLVZKDWLVWK HPD[LPXPRXFDQVS HQG?[...]

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    5: Time V alue of Money Calculations 57 Example: A Home Mor tgage. < RXGHFLGHWKDWWKHPD[LPXPPRQ WKO PRU WJ DJHSDPHQ WRXFDQDIIR UGLV< RXFDQPDNHD GRZQ SDPHQW DQ G DQQXDO LQ WHUHVW UDWHV DUH FXUU HQWO ?[...]

  • Page 58

    58 5: Time Value of Money Calculations Example: A Mortgage With a Balloon Pa yment. < RX·YHREWDLQHGD HDUPRUWJ DJ HDWDQQXDOLQWHUHVW< RXDQWLFLS DWHWKDW RXZLOORZQWKHKRXVHIR UIR XUHDUVDQGWKHQ VHOOLWUH SDLQJWKH?[...]

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    5: Time V alue of Money Calculations 59 Step 2 . 6LQFHWKHSDPHQ WLVDWWKHHQGRI WKHPRQWK WKHSDVWS D PHQW DQGW KH EDOORR Q SDPHQW RFFXUDW WKHVDPH WLPH 7 KHILQDO S DPHQW LV WKH VXPRI 30 7 DQG )9  7K HYDOXHLQ 307 VKRXOGDOZDVEHUR[...]

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    60 5: Time Value of Money Calculations Savings Calculat ions Example: A Savings Accoun t. ,I  RXGHS RVLWLQDVDYLQJV DFFRXQWWKDWSDVDQ QXDOLQWHUHVWFRP SRXQGHGDQQXDOO DQGPDNH QRRWKHUGH SRVLWV WRWKHDFFRXQWKRZORQJZLOOLW WDNH IRUWK[...]

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    5: Time V alue of Money Calculations 61 6LQFHWKHFDOFXODWHG YDOXH RI 1 LV EHWZHHQ DQG LWZLOO WDNHVL[ HDUVRI DQQXDOFRPSRXQ GLQJWRDFKLHY HD EDODQFHRIDW OHDVW  &DOFXODWHWKH DFWXDOEDODQFHDWWKHHQ GRIVL[HDU V  [...]

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    62 5: Time Value of Money Calculations Exa mpl e: An Ann ui ty A ccou nt. < RXRSW IRU DQ HDUO UHWLUHPHQ W D IWHU D VXFFHVVIXOE XVLQHVV FDUHHU< RXKDYHDFFXPXODWHGDVDYL QJVRI  WKDWHDUQVDQDY HUDJHRIDQQXDO LQ WHUHVWFRPSR XQGHGPRQWK[...]

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    5: Time V alue of Money Calculations 63 Lease Calculat ions $OHDVHLVDORDQR IYDOXDEOHSURS HU WOLNHUHDOHVWDWHDXWRPRELOHVRU HTXLSPHQWIR UDVSHFLI LFDPRXQWRI WLPHLQH[ FKDQJHI RUU HJXODU SDPHQWV6RPHOHDVHVDUHZULWWHQDVS XUFKDVHDJ UHHPH QWV[...]

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    64 5: Time Value of Money Calculations 6HWWR%HJLQPRGH3UHVV LIDQ QXQFLDWRULVQR WGLVSODHG 1RWLFHWKDWHYHQLIWKHFXVWRP HUFKRR VHVQRWWRE XWKHFDUWKHOHVVRU VWLOOLQFOXGHVDFDVKI ORZFRPLQJLQDWWKHHQGRI WKHOHDVHHTXDOWRWK H UHVLGXDO?[...]

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    5: Time V alue of Money Calculations 65 Example: L ease Wit h Advance Pa y ments. < RX U FRPS DQ  4XLF N.L W  3 ROH %D U QV  S ODQVW R OHDVH D IRU NOLIW I RUW KH ZDUHK RXVH 7KH OHDVH LV ZULWWHQ IRUD WHU P RI HDUV ZLWK PRQWK O SDPHQWVRI ?[...]

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    66 5: Time Value of Money Calculations Step 2. $GGW KHDGGLWLRQDODGYDQFHSDPHQ WWR39 6WRU HWKHDQVZHU  Step 3. )LQGWKHSUHVH QWYDOXHRIWKHEXRSWLRQ  Step 4. $GGW KHUHVXOWVR IVWH SVDQG Keys: Display: Descrip tion: 12.0 0 6HWVSDPHQWVSHU HDU  47.0 0 6WR UH[...]

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    5: Time V alue of Money Calculations 67 Amor tization $PRU WL]DWLRQ  LV WKH S URFH VVRI GLYLGLQJ D SDPHQWLQWR WKH DPRXQWWKD WDSSOLHVWR LQWHUHVWDQGWKHDP RXQWWKDW DSSOLHVWR SULQFLS DO 3 DPHQWV QHDU WKH EHJLQQLQ J RID ORDQ FRQWU LEX W H PRUH L QWH UHV W?[...]

  • Page 68

    68 5: Time Value of Money Calculations 7KH  QXPEHUV GLVSODHG IRULQWHUHVW S ULQFLS DO DQG E DODQFHDUH UR XQGHG WR WKHFXU UHQ WGLVSODVHWWLQJ  T o Amortiz e. 7 RDP RU WL]HDVLQJOHS DPHQWHQWHUWKHSHU LRGQXPEHU  DQGSUHVV  7KH +3%,, GLVSODV[...]

  • Page 69

    5: Time V alue of Money Calculations 69 ,I RX DOUHDG NQRZ WKH PR U WJDJ H SDPHQW RX FDQ HQWHU D QG VWRUH LW MXVW OLNHRXVWRUHWKHRWKHUIR XUYDOXHV 1 H[WDPRU WL]HWKHILU VWHDU  7KHDP RXQWS DLGWRZDUGLQWHUHVWDQGSULQFLSD O[...]

  • Page 70

    70 5: Time Value of Money Calculations $PRU WL]HWKHVH FRQGHDU  7KH DPRXQWS DLGWRZDUGLQWHUHVWDQGSULQFLSD O  HTXDOVWKHWRWDORIPR QWKOSDPHQ WVï ?[...]

  • Page 71

    5: Time V alue of Money Calculations 71 $PRU WL]HWKH  DQG S D PH Q WV  1.00 (QWHUVILUV WSDPHQW 1– 1 'LVSODV3(5DQGWKH  DPRU WL]HGSDPHQWS HULRG –310.42 'LVSODV 35, 1 DQG WK H ILUVW SULQFLSDOS DPHQW 0.00 'LVSODV,17DQGWKHLQ[...]

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    72 5: Time Value of Money Calculations Inte re st Ra te C on versio ns 7K H,QWHUH VW&RQYHUVLRQDSSOLFDWLR QXVHVWKU HHNHV   DQG  7KH FRQYHUW E HWZHHQ QR PLQDO DQGDQQXDOHII HFWLY HLQWHUHVWUDWHV 1RPLQ DODQGHII HFWLY H LQWHUHVWUDWHV DUHGHVFULE HGRQSD[...]

  • Page 73

    5: Time V alue of Money Calculations 73 First Bank Second Bank Third Bank )LUVW%DQNR IIHUV DVOLJKWOEHWWHUGHDOVLQ FHLVJ UHDWHUWK DQDQG  Compounding and P a yment P eriods Differ 7K H790DSS OLFDWLRQDVVXPH VWKDWWKHFR PSR XQGLQJ SHULRGV DQGWKH?[...]

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    74 5: Time Value of Money Calculations 7 R DGMXVW DQLQWHUHVWUDWHZKHQWKH FRPSR XQGLQJSHULR G GLIIHUVIURP WKH SDPHQWSHULR GFRPS OHWHWKHIROORZLQJVWH SV  (QWHUWKHQ RPLQ DOUDWHDQGSUHVV  (QWHUWKHQXPEH URI FRPSRXQGLQJ SHULRGV  LQD HDU DQGSUH[...]

  • Page 75

    6: Cash Fl ow Calculations 75 6 Cash Flow Calculations How to Use the Cash Flo w Application 7KH FDVK IOR Z DSSOL FD WLR Q LV XV HG  WR VRO Y H SUREOH PV ZKHUH FDVKI ORZVRFF XURY HUUHJXODULQ WHU YDOVEXWDUHRI Y DULQ J DPRXQWV< RXFDQ DOVRXVHFD VKI ORZFDOFXODWLRQV?[...]

  • Page 76

    76 6: Cash Flow Calculations XXX Keys: Display: Descri ption: 0.00 &OHDUVDOOUHJLVWHU V  12.0 0 6WRUHVSHU LRGVSHU HDU –5,0 00. 00 (QWHUVLQLWLDO FDVK IORZ  'LVSODVFDVK I ORZ JU RXSQXPE HUZK LOH RXKROGGRZQ  –2,0 00. 00 (QWHUVQH[WFDV KI ORZ  –4,0 00. 00 (QWH[...]

  • Page 77

    6: Cash Fl ow Calculations 77 NPV and IRR/YR: Discontinuing Cash Flows &KDSWHUGHPRQVWUDWHVWKHXVHRIFDVKIORZGLDJ UDPVWRFODULIILQDQ FLDO SUREOH PV 7KLV VHFWLRQ GHVFULEHVGLVFR XQWHGFDVKI ORZV 7KH 139 DQG ,55<5 IXQFWLRQ VDUHIUHTXHQWOUHIHU UHGWRDV [...]

  • Page 78

    78 6: Cash Flow Calculations :KHQH YHU RXHQWHUDV HULHV RIFDV KI ORZVLWLVLPSRU WDQWWRDFFRXQ WIRU HYHUSH ULRGRQ WKHFD VKI ORZGLDJ UDPHYHQSHULR GVZLWKFD VKI ORZVRI ]HUR  Entering Cash Flo ws 7KH +3%,,F DQVWRUHDQ LQLWLDOFDVKI ORZ[...]

  • Page 79

    6: Cash Fl ow Calculations 79 Examp le. (Q WHUWKHFDV KI ORZVIURP WKHSUHFHGLQJGLDJ U DPDQG FDOFXODWHWKH ,55 <5 7KHQFDOFXODWHWK HHIIHFWLYHLQWHUHVWUDWH$VVXPH WKHUHDUHSHU LRGVSHU HDU  Viewing and Replacing Cash Flows 7 R YLHZDFDVKI ORZ SUH[...]

  • Page 80

    80 6: Cash Flow Calculations 7 R UH SOD FHDFDVKI ORZDPRXQ WSUHVV  WR WRVWR UHWKHQ HZDPRXQWLQFDV KI ORZVWR WR WRV WRUHWKHQ HZDPRXQWLQFD VKI ORZVWR WRVWRUHWKHDP RXQWLQWK HQH[WFDVKI ORZ WRVWRUHWKHDP RXQWLQW[...]

  • Page 81

    6: Cash Fl ow Calculations 81 +RZPXFKVKRXOGRXSDIRUWKHFRQ WUDFWLIRXZLVKWR LHOGDHDUO UDWHRIRQ RXULQY HVWPHQW" Ke ys: Display: Description: 0.00 &OHDUVUHJLVWHUV 12.00 6HWVSDPHQWVSHUH DU  0.00 (QWHUVLQLWLDOFDVK I ORZ RI]HUR7KH?[...]

  • Page 82

    82 6: Cash Flow Calculations 7KH FDVKI ORZVWKDWGHVFULE HRXUSUR VS HFWLY HLQY HVWPHQWDUHQRZLQ WKH FDOFXODWRU< RXFDQS UHVV IROORZHGE DQG  UHSH DWHGOWRYLHZWKHFDVK I ORZVDQ GQXPEHU RIWLPHV HDFKRFF XUV 1RZWKDWRXKDYHHQWHUHGWKH[...]

  • Page 83

    6: Cash Fl ow Calculations 83 Calcula ting Intern al Rate of Ret urn  3UHVV VWRUHQXPEHUR ISHU LRGVSHUHDU LQ 3<5   (QWHUWK HFDV KI ORZVXVLQJ DQG   3UHV V  :KHQRXFDOFXODWH ,55<5 RXJHWWKHDQ QXDOQRPLQ DOUDWHWKDWJLYHV DQ[...]

  • Page 84

    84 6: Cash Flow Calculations A utomatic Storage of IRR/YR and NPV :KHQRXFDOFXODWH 139 WKHUHV XOWLVVWRUHGLQ 39 IRU RXU FRQYHQLHQFH7 RUH FDOOWKDWUHVXOWSU HVV ,I  RXKD Y HQ ·W F KDQJH G WKH790YDOXHVIURPWKHODV WH[DPSOHXVLQ J 139 SDJH ?[...]

  • Page 85

    7: Statistical Calculation s 8 5 7 Statistical Calculations 7KH  DQG NHVDUH XVHGWRHQWHUDQ GGHOHWHGDWD IRUR QHDQ GWZ RYDULDEOHVWDWLVWLFV 6XPPDWLRQ GDWDLV VWRUHGLQP HPRU 7 KHODEHOV DERY HWKH WR NHV LQGLFDWH ZKDW VXPP DWLRQ GDWD LV?[...]

  • Page 86

    86 7: Statistical Calculations Entering Statisti cal Data 7KH UHLVQR OLPLWWRWKHQXPEHURI YDOXHVRXFDQDFFXPXODWHLQWKH VWDWLVWLFDOUHJLVWHUV  One-V a riable Statistic s 7 R HQWHU [ GDWDIR URQ HYDULDEOHVWDWLVWLFVFRPS OHWHWKHIR OORZLQJVWHSV  &OHDUWKHVWD[...]

  • Page 87

    7: Statistical Calculation s 8 7 Correcting St atistic al Data ,QFRU UHFWHQWULHVFDQEHGHOHWHG XVLQJ ,IHLWKHUY DOXHRIDQ [  S D L U  LVLQFRU U HFWRXPXVWGHOHWHDQGUHHQWHUERWK YDOXHV  Correcting One-V a riable Data 7 R GHOHWHDQGUHHQ WHUVWDWLVWLFDOGDWD ?[...]

  • Page 88

    88 7: Statistical Calculations Mean, Standar d Dev iations, and Summation Statist ics < RX FDQ FDOFXODWH WKH P HDQ   VDPSOH VWDQGDUG GHYLDWLRQ  6 DQGSRSXODWLRQ VWDQGDUGGHYLDWLRQ  σ D Q G VXPPDWLRQ  VWDWLVWLFV  Q  Σ [  DQG Σ [ R I  [ GDW[...]

  • Page 89

    7: Statistical Calculation s 8 9 Example 1. $DFKWFDSWDLQZDQWVWRGHWHU PLQHKRZORQ JLWWDNHVWR FKD QJH D VDL O  6KH UDQ GRP O F KRRV HV VL[ P HPEH UV RI KHU FUH Z REVH U Y HV  WKHPDVWKHFDU U RXWWKHVDLOFKDQJ HDQGUHFRUGVWKH QXPEHUVR I [...]

  • Page 90

    90 7: Statistical Calculations Linear Regression and Estimation /LQHDUUHJ UHVVLR QLV DVWDWLVWLFDO PHWKRG IRUHVWLPDWLRQDQG IRUHF DVWLQJ ,WLVXVHGWRILQGDVWUDLJK WOLQHWKDWEHV WILWVD VHW RI [  GDWD7 KHU HPXVWEHDWOHDVWWZRGLIIHUHQW [   SDL[...]

  • Page 91

    7: Statistical Calculation s 9 1 Linear Estimation. 7KHVWUDLJK WOLQHFDOFXODWHGEOLQHDUU HJU HVVLRQ FDQ EHXVHGWRHVWLPDWHD YDOXHIRUDJLYHQ [  Y DO XH RU YLFH Y HUVD   (QWHUWKH [  GDWDXVLQ JWKHLQVWU XFWLR QVRQS DJH   (QWHUWK H?[...]

  • Page 92

    92 7: Statistical Calculations (VWLPDWHZKDW WK H OHYHO RIVDOHVZ R XOG EH LI WKH EXVLQHVVSXUFKDVHG RU  PLQXWHVRIDGYHUWLVLQ J  +RZPDQPLQXWHVRI DGYHUWLVLQJV KRXOG$OL· VEXWRDWWDLQVDOHVR I " Keys: Display: Descriptio n: 0.00 &OHD[...]

  • Page 93

    7: Statistical Calculation s 9 3 W eighted Mean 7KHI ROORZLQJSUR FHGXUHFDOFXODWHVWKHZHLJKWHGPHDQRI GDWDSRLQWV [  [ « [ RFFXU U LQJZLWKZHLJKWV  «   8VH DQG W RHQWHU [  SDL UV 7KH YDOXHVDUHWKHZHLJKWVR I[...]

  • Page 94

    10B.book Page 94 Wednesday, June 21, 2000 5:19 PM[...]

  • Page 95

    8: Additional Examples 95 8 Addi tional Examples Business Applications Setti ng a Sale s Price 2QHPHWKRG IR U VHWWLQJ WK H SHU XQLW VDOHV  S ULFH LV WR GHWHU PLQH WK H FRVW RI SURGXFWLRQ SHUXQLWDQ GWKHQPXOWLSOEWKHGHVLUHGUDWHRI UHWXU Q)RU WKLVPHWKRG WR?[...]

  • Page 96

    96 8: Additional Exam ples Forecasting Based on Histor y 2QHPHWKR GRII RUHFDVWLQJVD OHV PDQXIDFWXULQJUD WHV RUH[SHQ VHVLV UHYLHZLQJKLVWRU LFDOWUHQGV 2QFHRXKDY HKLVWRULFDOGDWDWKHGDWDDUHILW WRDFXU YHWKDWKDVWLPH RQWKH [  D[LVDQGTXDQWLWRQ[...]

  • Page 97

    8: Additional Examples 97 Cost of Not T aking a Cash Discount $FDVKGLVFRXQWJLY HV DEXHUD UHGXFWLRQLQSULFHLIWKHSDPHQWLV PDGH ZLWKLQ D VS HFLILHG WLPH SHULRG ) R U H[DPSOH ´ 1(7µ PHDQV WKDW WKHEXHUFDQ GHGXFWSHUFHQWLI?[...]

  • Page 98

    98 8: Additional Exam ples Loans and Mor tgages Simple Ann ual Intere st Example . < RX U J RRG IULH QG QH HGV D ORDQ WR VW DUW KLV ODW HVW  HQWHUSU LVH  DQG KDVDVNHGRXWROHQGKLPIR UGDV < RXOHQ GKLPWKHP RQHDW VLPSOHDQ QXDO[...]

  • Page 99

    8: Additional Examples 99 Examp le. < RXFXU UHQ WOKDY HLQDQDFFR XQWDW'UHDP: RUOG ,QYHVWPHQWVWKDWHDU QVDQ QXDOLQWHUHVWFRPS RXQGHGFRQ WLQXRXVO  $WWKHHQG RIHDFKPRQWKRXG HSR VLW LQWKHDFFRXQW[...]

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    100 8: Additional Examples Example . $QLQYHVWRUZLVKHVWRS XUFKDVHDPRU WJ DJ HWDNHQ RXWDWIRUHDU V 6LQFHWKHPRU WJ DJH ZDVLVVXHGPRQWK O SDPHQWVKDYHEHHQPDGH7KHOR DQLVWRE HSDLGLQIXOODE DOORRQ ?[...]

  • Page 101

    8: Additional Examples 101 Step 3 . (QWHUDFWXDOFXU UH QWY DOXHVIRU 1 DQG 39 WKHQILQ GWKHQHZ ,<5 IRU WKH G LVF RX QWH G PRUWJDJH ZL WK EDO OR RQ Ann ual P er centage Rate f or a Loan With Fees 7KHDQQXDO SHUFHQ WDJH UDWH $35  LQF RUS RUDWHV IHHV XVXDOO[...]

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    102 8: Additional Examples Example: Interest -Only Loa n With Fee. $ HDU DQQXDOLQWHUHV W LQWHU HVWRQO ORDQK DVDQRULJLQ DWLRQI HHRIWKUHHS RLQWV :KDWLVWKHLH OGWRWKHOHQGHU" $VVXPHWKDWPRQ WKOSDPHQ WVR[...]

  • Page 103

    8: Additional Examples 103 Loan With a P artial (Odd) Fir st P e riod 790FDOFXODWLRQVDS SOWRI LQDQFLDOWUDQV DFWLRQV ZKHUHHDFKS DPHQW SHULRGLVWKHV DPHOHQJWK +RZHY HU VLWXDWLRQVH[LVWZK HUHWKHILUV W SDPHQWSHULRG LVQRW WKH VD PH OHQJWK DV WK H UHPDLQLQJSH[...]

  • Page 104

    104 8: Additional Examples A utom obi le Lo a n Example . < RXDUHEXLQJDQ HZVHGDQ< RXUGRZQS DPHQW LVDQGRXDUHJ RLQJWR ILQDQFHWKH UHPDLQLQ J7K HFDU GHDOHULVRII HULQJWZRFKRLFHVIRU ILQ[...]

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    8: Additional Examples 105 &DOFXODWHWKHVHFR QGRSWLRQ  7KHI LUVWRS WLRQFRVWVVOLJK WOOHVV  Canadian Mor tgages ,Q&DQ DGLDQPRU WJ DJHVWKHFRPS RXQGLQJDQ GSDPHQWSHULR GVDUHQR W WKHVDPH,QWHUHVWLVFR PSR XQGHGVHPLDQ QXDOOZKLOHSDPHQWVDU H PDGHPRQWK[...]

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    106 8: Additional Examples What if … TVM Calculations 2QHRI WKHPRV WY DOXDEOHDVS HFWVRIWKH+3 %,,· V790DSSOLFDWLR QLV WKHHDVHZLWKZKLFKLWKDQ GOHVWKHTXHVWLR Q´ZKDWLI«µLQI LQDQFLD O FDO FX OD WL RQV ) RUH[ DP SOH RQHR IW KHPRVW SRSX ODU?[...]

  • Page 107

    8: Additional Examples 107 Pa r t 2 . < RXU FRPSDQ · VUHJXODUSDUROOLVJ HQHUDWHGHYHU R WKHU)ULGD  7KHEDQN DJUH HV W R DXWRPDWLFDOO GUDZ SDPHQWVRI  RXW RI HD FK SDFKHFNDSSUR[LPDWHOKDOIR IZKDWDPR QWKOSDPHQ WZ RXOGEH?[...]

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    108 8: Additional Examples Sa vings Sav ing f or College Costs 6XSSRVHRXVWDU WVDYLQJQ RZWRDFFRPPRGDWHDI XWXUHVHULHVR IFDVK  RXWI ORZV $QH[DPSOHRIWK LVLVVDYLQJPRQ HIRUFR OOHJH7 RGHWHU PLQ H KRZPXFKRXQHHGWRVDY HHDFKSHULRGRXPXVWNQRZZKH[...]

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    8: Additional Examples 109 :KHQFRP SRXQ GLQJRFFXUVRQORQFHSHUHDUWKHHIIHFWLY HUDWHDQGWKH QRPLQD OUDWHDUHWKHV DPH 6HWWR%HJLQPR GH3UHVV LI BEGIN DQQXQFLDWRULVQ RWGLVSODHG 7KHQ XVHWKDW 39 DVWKH )9 RQ WKHIROORZLQJFDVK I ORZ?[...]

  • Page 110

    110 8: Additional Examples 6HWWR(QGPRGH3UHVV LI BEGI N DQQXQFLD WRULVGLVS ODHG Gains That Go Untaxed Until Withdra wal < RXFDQXVHWKH790 DSSOLFDWLRQWR FDOFXODWHWKHIXWXUHYDOXHRIDWD[ IUHHRUWD[ GHIHU UHGDFFR XQW&XU UHQ WWD[ODZVDQGRXU?[...]

  • Page 111

    8: Additional Examples 111 6HWWR%HJLQPR GH3UHVV LI BEGI N DQQXQFLDWRULVQ RWGLVSODHG Ke ys: Display: Description: 1.00 6HWVSDPHQWSHU HDU  35.00 8.18 6W RUHV Q X PEHU RI SHULRGVDQ GLQWHUHVW UDWH 0.00 6WRUHVDPR XQWRX VWDU WZLWK –2,00 0. 00 6WRUHVDPR X[...]

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    112 8: Additional Examples V alue of a T axable Retirement Account 7KLV SUREOHP XVHVWKH790 DSSOLFDWLRQ WRFDOFXODWH WKHIXWXUHY DOXH RID WD[DEOHUHWLUHPH QWDFFRXQ WWKDWUHFHLY HVUHJXODUDQQXDOSDPHQWV EHJLQQLQ JWRGD%HJLQPR GH7 KHDQQXDOWD[RQWKHLQ WHUHVW[...]

  • Page 113

    8: Additional Examples 113 Cash Flow Exampl es Wrap-Around Mortgages $ Z UDS DURXQG PRU WJ DJHLV D FRPELQ DWLRQRI UHI LQDQ FLQJ D PR U WJDJ H DQG ERU U RZLQJDJDLQV WUHDOHVWDWHHTXLW 8VXDOOWKHWZ RXQNQRZQTXDQ WLWLHV LQWKHZUDSS HGPRU WJ DJ HDUHWKHQ HZSDPHQWD[...]

  • Page 114

    114 8: Additional Examples 7KH QWRFDOFXODWHWKHOHQ GHU· VUHWXU QHQWHU FDVKI ORZVWKDW UH SUHV HQWWKH FRPSOHWH SLFWXUHRIWKH ZUDS DURXQGPRU WJDJHI URPWK HOHQGHU· VSRLQ WRI YLHZ :KHQRXJ U RXSWKHDERYHFDVKI ORZV RX·OOILQGWKDW &) ?[...]

  • Page 115

    8: Additional Examples 115 Net Future V alue 7KHQH WIXWXUHY DOXHFDQEHFDOFXODWHGEXVLQJWKH790N HVWR VOL GH WKH QHWSUHVHQ WYDOXH 139 IR UZDUGRQWKH FDVKI ORZGLDJ UDP Example: V alue of a Fund. < RXKDY HPDGH WKH I ROORZLQJ GHSR VLWV RY HU WKHSDV[...]

  • Page 116

    116 8: Additional Examples CF6 –2,0 00. 00 (QW HUV FDVK I OR Z JURXS  8.80 6WRUHVDQQXDOLQWHU HVW UDWH –29,203. 14 &DOFXODWHVQH WSUHVHQW YDO X H   139  DXWRPDWLFDOOVWRU HGDV 39  24.0 0 6WRUHVNQRZQYDOXHV  0.00 34,8 00. 58 &DOFXODWHVQH WIXWXUH YDO X H 1[...]

  • Page 117

    A: Assistance, Batteries, and Service 11 7 A Assistance , Batteries, and Ser vice +HZOHWW3DFNDUGLVFRPPLWWHGWRSURYLGLQJRXZLWKRQJ R LQJVXSSR U W < RXFDQREWDLQ DQVZHUVWRTXHV WLRQVDER XWXVLQJRXUFDOFXODWRUI URP RXU &D OF XO DW RU 6XS SRUWG HSDUWP HQW  3OHDVHUHDG[...]

  • Page 118

    118 A: Assist ance, Batteries, and Service Q: :KDWGRHVDQ´(µLQD QXPEHUIR UH[DP SOH(²PHDQ" A: ([SRQHQ WRI WHQI RUH[DPS OHï 5HIHUWR´6FLHQWLILF 1RWDWLRQµR QSDJ H  Q: :KGR,JHWDZURQJ DQVZHU?[...]

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    A: Assistance, Batteries, and Service 11 9 P ower and Bat teries 7KHFD OFXODWRULVS RZHUHGEWZ R YROWOLWKLXPEXWWRQFHOO EDW WH ULH V  :KHQFKDQ JLQJEDWWHULH V XVHRQOIU HVK EXWWRQ FHOOEDWWHULHV %RWKEDWWHULHV PXVWEHFKDQJ HGDWWKHVDPHWLPH 'RQRWXV[...]

  • Page 120

    120 A: Assist ance, Batteries, and Service  5H PRY HERW KE DW WH UL HV   , QV HU WWKH QHZE DWWHULHVPDNLQJVXUHWKDWWKHSR V LWLY HV LJQ RQHDFKEDWWHU LVIDFLQJRXWZDUG  5HSODF HWKHE DWWHU FRPSDU WP HQWOLG  3 UH VV  ,IWKHFDOFXODWRU [...]

  • Page 121

    A: Assistance, Batteries, and Service 12 1 Determ ining if the Ca lculator Require s Ser vic e 8VHWKHVHJXLGHOLQ HVWRGHWHU P LQHLIWKH FDOFXODWRUUHTXLU HVVHU YLFH ,I WKHVHSUR FHGXUHVFR QILU PWKDWWKHFDOFXODWRULVQR WIXQFWLRQ LQJSU RSHUO  UHDGWKHVHFWLRQ ´,IWKH&DOFX[...]

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    122 A: Assist ance, Batteries, and Service The calculator r esponds to keystro kes but you suspect th at it is malfunctioning:  ,WLVOLNHOWKDWRX·Y HPDGHDPLVWDNHLQRSHU DWLQJWKH FDOFXODWRU7 U UHUHDGLQJSR U WLRQVRI WKHPDQXDODQG FKHFN´ $QVZHUVWR&R PPR Q4XHVWLRQ Vµ[...]

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    A: Assistance, Batteries, and Service 12 3 6RPHVWDWHV SURYLQFHV  RU FRXQWULHVGR QR W DOORZ OLP LWDWLRQ VRQ KRZ OR QJ DQLPSOLHGZDU UDQ WODVWVVRWKHDERYHOLPLWDWLRQPDQRWDSS OWRRX ,QQRHYHQWVKDOO+HZOHWW 3DFNDUG&RPSDQEHOLDEOHIRU FR[...]

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    124 A: Assist ance, Batteries, and Service ,IORFDOVH U YLFHLVXQ DY DLODEOHRXFDQVKLSWKHFD OFXODWRUWRDQ  DXWKRUL]HG+3 VHU YLFHFHQWHUIRU UH SDLU $OOVKLSS LQJUHLPS R U WDWLRQ DU UDQJ HP HQWVDQGFXVWRPVFR VWVDUH RXUUHVSR QVLE LOLW  Service Cha r ge 7KH UHLV[...]

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    A: Assistance, Batteries, and Service 12 5 Service A greement s ,QWKH8 6 DVXS SRU WDJ UHHPHQ WLVDY DLODEOHIRU UH SDLUDQG VHU YLFH 5 HIHUWRWKHI RU P LQWKHIURQ WRIWKH PDQXDO) RU DGGLWLRQDOLQIR U PDWLR QFRQ WDFWD+36HU YLFH&HQWHUVHHWKH?[...]

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    126 A: Assist ance, Batteries, and Service Japan Disposal of W aste Equipment by User s in Private Household in the Euro pean Uni on This symbol on the product or on its pac kaging indicates that this pr oduct m ust not be disp osed of wit h you r other household w aste . Instead, it is yo ur responsibility to dispose of y our w aste equipm ent by [...]

  • Page 127

    A: Assistance, Batteries, and Service 12 7 during the w arr anty period, HP will replace software media whic h does not execute its program ming instr uctions due to such defects . 3. HP does not warrant that the operation of HP products will be uninterr upted or error free. If HP is unable, within a reasonable tim e, to re pai r or re plac e any p[...]

  • Page 128

    10B.book Page 128 Wednesday, J une 21, 2000 5:19 PM[...]

  • Page 129

    B: More Ab out Calcula tions 129 B More About Calculations IRR/YR Calcula tions 7KHFD OFXODWRUGHWHU P LQHV , 55<5 IRU DVHWRIFDVK I ORZVXVLQJ PDWKHPDWLFDOIR U PXODVWKDWVH DUFKIRU WKHDQVZHU 7K HSURFHVV  ILQGVDVROXWLR QEHVWLPDWLQJDQ DQVZHUDQGWKHQXV LQJW[...]

  • Page 130

    130 B: More About Calculations Case 5. 7KHF DOFXODWRUGLVS ODV No Solution 7 KHUHLVQ RDQVZHU  7K LVVLWXDWLRQP LJKWEHWKHUHVXOWR IDQHU URU VXFKDVDPLVWDNHLQ NHLQJLQWKHFDVK I ORZV $FR PPR QPLVWDNHWKDWUHVXOWVLQWKLV  PHVVDJ HLVS [...]

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    B: More Ab out Calcula tions 131 Effect of Using Σ – to Correct Data 7KH+3 %,, VWRUHV WKH V WDWLVWLFDO QXPEHU V LQ DQ ´DFFXPXODWHGµ IDV KLRQ ,WGRHVQ·WVWRUHHYHUQXPEHU WKDWRXHQWHUEXWUDWKHULWSHUI RU P V LQWHU P HGLDWHFDOFXODWLRQVZKH QRXSUHVV WKH[...]

  • Page 132

    132 B: More About Calculations Equations Margin and Markup Calculations  Time V alue of Mone y (TVM) 3D PHQW0RGH)DFWRU 6 IRU(QGP RGHIRU %HJLQPRGH Amor tization %$ / LVLQLWLDOO 39 URXQGHGWRWKHFXU U HQWGLVSODVHWWLQJ  307 LVLQLWLDOO 307 URXQGHGWRW[...]

  • Page 133

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    134 B: More About Calculations Cash-Flo w Calcula tions :KHQ 139  W KHVROXWLRQ IRU  L LVWKHS HULRGLFLQ WHUQD OUDWHRI UHWXU Q L SHU LRGLFLQWHUHV WUDWH M WKHJ URXS QXPEHURIWK HFDVKI ORZ  &) DPRXQWR IWKHFDVK IORZIR UJ UR XS M  Q QXPEHU[...]

  • Page 135

    B: More Ab out Calcula tions 135 Stati stics     [ [ ∑ Q ------- = y y ∑ Q ------ - = [ [ ∑ ∑ --------- - = Sx [ ∑ [ ∑ () 2 Q --------- ----- – Q  – ----------- -------- ----------- - = Sy y ∑ y ∑ () 2 Q ---------- --- - – Q  – ----------- -------- ---------- - = σ x [ ∑ [ ∑ () 2 Q -----[...]

  • Page 136

    .fm Page 136 Thursday, June 22, 2000 12:33 PM[...]

  • Page 137

    C: Messages 137 C Messages 3UHVV RU WRFOHDUDPH VVDJHI URPWK HGLVSOD  All Clea r 0HPRU KDVEHHQHUDV HGSDJ H  COPR HP 2000 &RSULJK WPHV VDJ H Interrupted $Q ,55<5  ,<5 R UDP RU WL]DWLRQ FDOFXODWLR Q ZDVLQWHU U X SWHGE SUHVVLQ J [...]

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    138 C: Messag es running 5XQQLQJ$FDOFXODWLRQLVLQSU RFHVV UFLO 8QGHUI ORZ$QLQWHU PHGLDWHUHVXOWLQ790LV WRR VPDOOIR UWK H+3 %,,WRSUR FHVV7KLVPHVV DJ HLVDOVR EU LHI OGLVS ODHGLIDQFDOFXODWLRQ  XQGHUI ORZV ,QWKLVFDVHLW[...]

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    Inde x 13 9 Inde x .HVQRWOLVWHGKHUHFDQEHIRXQG LQWKH DOSKDEHWLFVHFWLR QVRIWKLVLQGH[ Special Keys            ,   ,            ,     [...]

  • Page 140

    140 Ind ex  BEGIN  ,  %HJLQP RGH  %RUUR ZLQJHTXLW  %XRXWYDOXH  C   &DQDGL DQPRU WJDJ HV  &DSLWDOL]HGYDOXH  &DVKI OR Z  ,  GLDJUD PV  GLVF RX QW  HQW HU LQ J  HTX DWLRQV  H[DP SOH V  LQLWLDO  SURE[...]

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    Inde x 14 1 )UH TXH QW O $VN HG 4 XHVW LRQV  FULL  FUNC  )XQF WLRQV  )XWXUHYDOXH  ,   G *XDUDQWHH  *XHVVLQJ,5 5<5  I ,QLWLDOFDVKIORZ   INT  ,QWHUH VW FRPSRX QG  VLP SOH  ,QWHU HVW FRQYHUV LRQ DW D JODQFH  ,QWHUHVW?[...]

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    142 Ind ex 139  DWDJODQ FH  D XWR PD WLF V WRU DJ HR I  FDOFXODWLQJ  1XPEH UV GLVS OD IRUP DW  IXOO SUHFLV LRQ  QHJD WLYH  UDQJH RI  URXQGL Q J  VWR ULQ J  O 2GGILUVWSDPHQW    2QHYDU LD EOH VWDWLVWLFV  2SHUDWL QJ FRQGL WL [...]

  • Page 143

    Inde x 14 3 SHIFT  6KLIWNH  6LJQFKDQ JLQJ  6LPSOHLQWHUHVW  6ORSH  6TXDUHURR W  6TXDUHV  6WDQGDUGGHYLDWL R Q  ,  SRSXODW LRQ  VDPSO H   STAT  ,  6WDWLVWLFV DWDJODQ FH  FOHD U LQJ  ,  ,  HQW HU LQ J G DWD  HVWL[...]

  • Page 144

    10B.book Page 144 Wednesday, J une 21, 2000 5:19 PM[...]