HP 10BII User Manual
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HP 10BII User Manual

Financial calculator
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See also: Owner's Manual , Instruction Manual
hp 10BII financial calculator
user's guide
Edition 1
HP part number F1902-90001

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Summary of Contents for HP 10BII

  • Page 1 10BII financial calculator user’s guide Edition 1 HP part number F1902-90001...
  • Page 2 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 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.
  • Page 3 Welcome to the HP 10BII <RXU +3 %,, UHIOHFWV WKH VXSHULRU TXDOLW\ DQG DWWHQWLRQ WR GHWDLO LQ HQJLQHHULQJ DQG PDQXIDFWXULQJ WKDW KDYH GLVWLQJXLVKHG +HZOHWW3DFNDUG SURGXFWV IRU  \HDUV +HZOHWW3DFNDUG VWDQGV EHKLQG WKLV FDOFXODWRU³ZH RIIHU H[SHUWLVH WR VXSSRUW LWV XVH VHH LQVLGH WKH EDFN FRYHU DQG...
  • Page 4 ‡ $XWRLQFUHPHQW FDSDELOLW\ IRU DPRUWL]DWLRQ VFKHGXOHV ‡ /DEHOV IRU DPRUWL]DWLRQ DQG FDVK IORZV ‡ $XWRPDWLF FRQVWDQW ‡ NH\ PHPRU\ 0DQ\ H[DPSOHV DUH LQFOXGHG LQ WKH PDQXDO VR \RX FDQ FRPELQH WKHP IRU \RXU VSHFLILF QHHGV Welcome to the HP 10BII...

  • Page 5: At A Glance

    Contents 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« .H\ERDUG 0DS Getting Started 3RZHU 2Q DQG 2II...

  • Page 6: Business Percentages

    Business Percentages 3HUFHQW .H\ )LQGLQJ D 3HUFHQW $GGLQJ RU 6XEWUDFWLQJ D 3HUFHQW 3HUFHQW &KDQJH 0DUJLQ DQG 0DUNXS &DOFXODWLRQV 0DUJLQ &DOFXODWLRQV 0DUNXS RQ &RVW &DOFXODWLRQV 8VLQJ 0DUJLQ DQG 0DUNXS 7RJHWKHU Number Storage and Arithmetic 8VLQJ 6WRUHG 1XPEHUV LQ &DOFXODWLRQV 8VLQJ &RQVWDQWV 8VLQJ WKH 0 5HJLVWHU 8VLQJ 1XPEHUHG 5HJLVWHUV 'RLQJ $ULWKPHWLF ,QVLGH 5HJLVWHUV...

  • Page 7: Time Value Of Money Calculations

    Time Value of Money Calculations 8VLQJ WKH 790 $SSOLFDWLRQ &OHDULQJ 790 %HJLQ DQG (QG 0RGHV /RDQ &DOFXODWLRQV 6DYLQJV &DOFXODWLRQV /HDVH &DOFXODWLRQV $PRUWL]DWLRQ ,QWHUHVW 5DWH &RQYHUVLRQV ,QYHVWPHQWV :LWK 'LIIHUHQW &RPSRXQGLQJ 3HULRGV &RPSRXQGLQJ DQG 3D\PHQW 3HULRGV 'LIIHU Cash Flow Calculations +RZ WR 8VH WKH &DVK )ORZ $SSOLFDWLRQ 139 DQG ,55<5 'LVFRQWLQXLQJ &DVK )ORZV 2UJDQL]LQJ &DVK )ORZV (QWHULQJ &DVK )ORZV...

  • Page 8: Additional Examples

    Additional Examples %XVLQHVV $SSOLFDWLRQV 6HWWLQJ D 6DOHV 3ULFH )RUHFDVWLQJ %DVHG RQ +LVWRU\ &RVW RI 1RW 7DNLQJ D &DVK 'LVFRXQW /RDQV DQG 0RUWJDJHV 6LPSOH $QQXDO ,QWHUHVW &RQWLQXRXV &RPSRXQGLQJ <LHOG RI D 'LVFRXQWHG RU 3UHPLXP 0RUWJDJH $QQXDO 3HUFHQWDJH 5DWH IRU D /RDQ :LWK )HHV /RDQ :LWK D 3DUWLDO 2GG )LUVW 3HULRG $XWRPRELOH /RDQ &DQDGLDQ 0RUWJDJHV...
  • Page 9 ,I WKH &DOFXODWRU 5HTXLUHV 6HUYLFH 2EWDLQLQJ 6HUYLFH 6HUYLFH &KDUJH 6KLSSLQJ ,QVWUXFWLRQV :DUUDQW\ RQ 6HUYLFH 6HUYLFH $JUHHPHQWV 5HJXODWRU\ ,QIRUPDWLRQ (QGXVHU WHUPV DQG FRQGLWLRQV More About Calculations ,55<5 &DOFXODWLRQV 3RVVLEOH 2XWFRPHV RI &DOFXODWLQJ ,55<5 +DOWLQJ DQG 5HVWDUWLQJ ,55<5 (QWHULQJ D *XHVV IRU ,55<5 (IIHFW RI 8VLQJ Σ²...

  • Page 11: At A Glance.

    At a Glance... 7KLV VHFWLRQ LV GHVLJQHG IRU \RX LI \RX·UH DOUHDG\ IDPLOLDU ZLWK FDOFXODWRU RSHUDWLRQ RU ILQDQFLDO FRQFHSWV <RX FDQ XVH LW IRU TXLFN UHIHUHQFH 7KH UHVW RI WKH PDQXDO LV ILOOHG ZLWK H[SODQDWLRQV DQG H[DPSOHV RI WKH FRQFHSWV SUHVHQWHG LQ WKLV VHFWLRQ Basics—At a Glance...
  • Page 12 Percentages—At a Glance... 3HUFHQW &RVW 3ULFH 0DUJLQ 0DUNXS $GG  WR  Keys: Display: Description:  (QWHUV QXPEHU   17.50 $GGV   20.13 )LQG WKH PDUJLQ LI WKH FRVW LV  DQG VHOOLQJ SULFH LV  (QWHUV FRVW 15.00 (QWHUV SULFH 22.00...
  • Page 13 Memory Keys—At a Glance… 6WRUHV D FRQVWDQW RSHUDWLRQ Å 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...
  • Page 14 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 € 1XPEHU RI SD\PHQWV ,QWHUHVW SHU \HDU Æ...
  • Page 15 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 " Keys: Display: Description: @P (QWHUV QHZ SD\PHQW –100.00 DPRXQW 0RQH\ SDLG...
  • Page 16 Amortization—At a Glance… $IWHU FDOFXODWLQJ D SD\PHQW XVLQJ 7LPH 9DOXH RI 0RQH\ Ä 790  HQWHU WKH SHULRGV WR DPRUWL]H DQG SUHVV 1Ã 7KHQ SUHVV W R FRQWLQXDOO\ F\FOH WKURXJK WKH SULQFLSDO LQWHUHVW DQG EDODQFH YDOXHV LQGLFDWHG E\ WKH PRIN DQQXQFLDWRUV UHVSHFWLYHO\  8VLQJ WKH SUHYLRXV 790 H[DPSOH SDJH   DPRUWL]H D VLQJOH SD\PHQW DQG WKHQ D UDQJH RI SD\PHQWV $PRUWL]H WKH ...
  • Page 17 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 È 1RPLQDO LQWHUHVW SHUFHQW  (IIHFWLYH LQWHUHVW SHUFHQW ˜ 3HULRGV SHU \HDU )LQG WKH DQQXDO HIIHFWLYH LQWHUHVW UDWH RI  QRPLQDO LQWHUHVW FRPSRXQGHG PRQWKO\...
  • Page 18 IRR/YR and NPV—At a Glance… 1XPEHU RI SHULRGV SHU \HDU GHIDXOW LV   &DVK IORZV XS WR  ´Mµ LGHQWLILHV WKH FDVK IORZ QXPEHU  1XPEHU RI FRQVHFXWLYH WLPHV FDVK IORZ ´Mµ RFFXUV ,QWHUQDO UDWH RI UHWXUQ SHU \HDU 1HW SUHVHQW YDOXH ,I \RX KDYH DQ LQLWLDO FDVK RXWIORZ RI  IROORZHG E\ PRQWKO\ FDVK LQIORZV RI    DQG  ZKDW LV WKH ,55<5"...
  • Page 19 Statistics—At a Glance… &OHDU VWDWLVWLFDO UHJLVWHUV QXPEHU (QWHU RQHYDULDEOH VWDWLVWLFDO GDWD QXPEHU 'HOHWH RQHYDULDEOH VWDWLVWLFDO GDWD QXPEHU QXPEHU (QWHU WZRYDULDEOH VWDWLVWLFDO GDWD QXPEHU QXPEHU 'HOHWH WZRYDULDEOH VWDWLVWLFDO GDWD 0HDQV RI [ DQG \ 0HDQ RI [ ZHLJKWHG E\ \ 6DPSOH VWDQGDUG GHYLDWLRQV RI [ DQG \ 3RSXODWLRQ VWDQGDUG GHYLDWLRQV RI [ DQG \ \YDOXH (VWLPDWH RI [ DQG FRUUHODWLRQ FRHIILFLHQW...
  • Page 20 Keys: Display: Description: &OHDUV VWDWLVWLFV UHJLVWHUV 0.00 0A (QWHUV ILUVW [\ SDLU 1.00 0A (QWHUV VHFRQG [\ SDLU 2.00 0A (QWHUV WKLUG [\ SDLU 3.00 'LVSOD\V PHDQ RI [ 4.00 'LVSOD\V PHDQ RI \ 100.00 'LVSOD\V VDPSOH VWDQ 2.00 GDUG GHYLDWLRQ RI [ 'LVSOD\V VDPSOH VWDQ 55.68 GDUG GHYLDWLRQ RI \...
  • Page 21 Keyboard Map Σ 1. Time value of money (page 53) 13. n through xy : statistical summation registers (page 88) 2. Separate two numbers (page 28) 14. 3-key memory (page 39) 3. Percent (page 33) 15. Backspace (page 25) 4. Constant (page 37) 16.

  • Page 23: Getting Started

    Getting Started Power On and Off BÃ 7R WXUQ RQ \RXU +3 %,, SUHVV  7R WXUQ WKH FDOFXODWRU ‡ RII SUHVV WKH RUDQJH VKLIW NH\  WKHQ DOVR ZULWWHQ 6LQFH WKH FDOFXODWRU KDV FRQWLQXRXV PHPRU\ WXUQLQJ LW RII GRHV QRW DIIHFW WKH LQIRUPDWLRQ \RX KDYH VWRUHG 7R FRQVHUYH HQHUJ\ WKH FDOFXODWRU WXUQV LWVHOI RII DSSUR[LPDWHO\  PLQXWHV DIWHU \RX VWRS XVLQJ LW 7KH FDOFXODWRU XVHV WZR OLWKLXP EDWWHULHV ,I \RX VHH WKH ORZEDWWHU\ V\PERO...
  • Page 24 Keys: Display: Description: "%Ã $ "% $GGV  DQG  87.18 :KHQ D FDOFXODWLRQ KDV EHHQ FRPSOHWHG E\ SUHVVLQJ  SUHVVLQJ D QXPEHU NH\ VWDUWV D QHZ FDOFXODWLRQ '4 $& &DOFXODWHV  ï  240.92 ,I \RX SUHVV DQ RSHUDWRU NH\ DIWHU FRPSOHWLQJ D FDOFXODWLRQ WKH FDOFXODWLRQ LV FRQWLQXHG ## &RPSOHWHV FDOFXODWLRQ...

  • Page 25: Xuvru

    Understanding the Display and Keyboard Cursor 7KH FXUVRU B LV YLVLEOH ZKHQ \RX DUH HQWHULQJ D QXPEHU Clearing the Calculator :KHQ WKH FXUVRU LV RQ HUDVHV WKH ODVW GLJLW \RX HQWHUHG 2WKHUZLVH FOHDUV WKH GLVSOD\ DQG FDQFHOV WKH FDOFXODWLRQ :KLOH \RX DUH HQWHULQJ D QXPEHU SUHVVLQJ FOHDUV LW WR...

  • Page 26: Qqxqfldwruv

    Annunciators $QQXQFLDWRUV DUH V\PEROV LQ WKH GLVSOD\ WKDW LQGLFDWH WKH VWDWXV RI WKH FDOFXODWRU Annunciator Status 7KH VKLIW NH\ KDV EHHQ SUHVVHG :KHQ DQRWKHU SHIFT NH\ LV SUHVVHG WKH IXQFWLRQ ODEHOHG LQ RUDQJH RQ WKH NH\ LV H[HFXWHG 7KH VWDWLVWLFV NH\ LV DFWLYH :KHQ DQRWKHU NH\ LV STATS...
  • Page 27 Annunciator Status (Continued) 0RUH WKDQ  FDVK IORZV KDYH EHHQ HQWHUHG RU FULL PRUH WKDQ  XQVROYHG EUDFNHWV XVHG ,QFRUUHFW GDWD XVHG LQ D VWDWLVWLFV FDOFXODWLRQ RU STAT ZKHQ LV QRW OLW D VWDWLVWLFDO FDOFXODWLRQ KDV ERROR EHHQ SHUIRUPHG $ PDWK HUURU KDV RFFXUUHG IRU H[DPSOH GLYLVLRQ E\ FUNC ]HUR  $ VWDWLVWLFDO FDOFXODWLRQ KDV EHHQ SHUIRUPHG...

  • Page 28: Input Key

    INPUT Key NH\ LV XVHG WR VHSDUDWH WZR QXPEHUV ZKHQ XVLQJ WZRQXPEHU IXQFWLRQV RU WZRYDULDEOH VWDWLVWLFV 7KH NH\ FDQ DOVR EH XVHG WR HYDOXDWH DQ\ SHQGLQJ DULWKPHWLF RSHUDWLRQV LQ ZKLFK FDVH WKH UHVXOW LV WKH VDPH DV SUHVVLQJ SWAP Key 3UHVVLQJ H[FKDQJHV WKH IROORZLQJ 7KH ODVW WZR QXPEHUV WKDW \RX HQWHUHG IRU LQVWDQFH...

  • Page 29: Display Format Of Numbers

    :KHQ D IXQFWLRQ UHTXLUHV WZR Two-Number Functions. 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  Keys: Display: Description:...

  • Page 30: Scientific Notation

    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: &OHDUV GLVSOD\ 0.00 'LVSOD\V WKUHH GHFLPDO 0.000 SODFHV "#$4Ã...

  • Page 31: Interchanging The Period And Comma

    Displaying the Full Precision of Numbers 7R VHW \RXU FDOFXODWRU WR GLVSOD\ QXPEHUV DV SUHFLVHO\ DV SRVVLEOH SUHVV WUDLOLQJ ]HURV DUH QRW GLVSOD\HG 7R WHPSRUDULO\ YLHZ DOO  GLJLWV RI WKH QXPEHU LQ WKH GLVSOD\ UHJDUGOHVV RI WKH FXUUHQW GLVSOD\ IRUPDW VHWWLQJ  SUHVV DQG KROG  7KH QXPEHU LV...

  • Page 32: Hvvdjhv

    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 Keys: Display:...

  • Page 33: Business Percentages

    Business Percentages <RX FDQ XVH WKH +3 %,, WR FDOFXODWH VLPSOH SHUFHQW SHUFHQW FKDQJH FRVW SULFH PDUJLQ DQG PDUNXS Percent Key NH\ KDV WZR IXQFWLRQV ILQGLQJ D SHUFHQW DQG DGGLQJ RU VXEWUDFWLQJ D SHUFHQW Finding a Percent NH\ GLYLGHV D QXPEHU E\  XQOHVV LW LV SUHFHGHG E\ DQ DGGLWLRQ RU VXEWUDFWLRQ VLJQ )LQG  RI ...

  • Page 34: Percent Change

    Adding or Subtracting a Percent <RX FDQ DGG RU VXEWUDFW D SHUFHQW LQ RQH FDOFXODWLRQ 'HFUHDVH  E\   Example. Keys: Display: Description: #Ç (QWHUV  200.00 0XOWLSOLHV  E\  50.00 6XEWUDFWV  IURP  150.00 <RX ERUURZ  IURP D UHODWLYH DQG \RX DJUHH WR UHSD\ WKH Example.
  • Page 35 Margin and Markup Calculations 7KH +3 %,, FDQ FDOFXODWH FRVW VHOOLQJ SULFH PDUJLQ RU PDUNXS Application Keys Description 0DUJLQ 0DUJLQ LV PDUNXS H[SUHVVHG DV D SHUFHQW RI SULFH 0DUNXS 0DUNXS FDOFXODWLRQV DUH H[SUHVVHG DV D SHUFHQW RI FRVW 7R VHH DQ\ YDOXH XVHG E\ WKH 0DUJLQ DQG 0DUNXS DSSOLFDWLRQ SUHVV DQG WKHQ WKH NH\ \RX ZLVK WR VHH )RU H[DPSOH WR VHH WKH YDOXH VWRUHG DV  SUHVV  0DUJLQ DQG 0DUNXS VKDUH WKH VDPH VWRUDJH UHJLVWHU...
  • Page 36 Using Margin and Markup Together $ IRRG FRRSHUDWLYH EX\V FDVHV RI FDQQHG VRXS ZLWK DQ LQYRLFH Example. FRVW RI  SHU FDVH ,I WKH FRRS URXWLQHO\ XVHV D  PDUNXS IRU ZKDW SULFH VKRXOG LW VHOO D FDVH RI VRXS" :KDW LV WKH PDUJLQ" Keys: Display: Description:...

  • Page 37: Number Storage And Arithmetic

    Number Storage and Arithmetic Using Stored Numbers in Calculations <RX FDQ VWRUH QXPEHUV IRU UHXVH LQ VHYHUDO GLIIHUHQW ZD\V &RQVWDQW WR VWRUH D QXPEHU DQG LWV RSHUDWRU IRU UHSHWLWLYH RSHUDWLRQV Å — 8VH  .H\ 0HPRU\  DQG WR VWRUH UHFDOO DQG VXP QXPEHUV ZLWK D VLQJOH NH\VWURNH WR VWRUH WR DQG UHFDOO IURP WKH  QXPEHUHG UHJLVWHUV...
  • Page 38 Keys Operation à Eà 1 6WRUHV ´ QXPEHUµ DV FRQVWDQW Q XPEHU à Eà 1 6WRUHV ´² QXPEHUµ DV FRQVWDQW Q XPEHU 4à Eà 1 6WRUHV ´ï QXPEHUµ DV FRQVWDQW Q XPEHU dà Eà 1 6WRUHV ´¸ QXPEHUµ DV FRQVWDQW Q XPEHU BÃ...
  • Page 39 "1 64.00 &DOFXODWHV   Using the M Register — Ã  DQG N H\V SHUIRUP PHPRU\ RSHUDWLRQV RQ Ã D VLQJOH VWRUDJH UHJLVWHU FDOOHG WKH 0 UHJLVWHU ,Q PRVW FDVHV LW LV XQQHFHVVDU\ WR FOHDU WKH 0 UHJLVWHU VLQFH UHSODFHV WKH SUHYLRXV FRQWHQWV +RZHYHU \RX FDQ FOHDU Ã...
  • Page 40 Using Numbered Registers 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 IURP D UHJLVWHU WR WKH GLVSOD\ 7R VWRUH RU UHFDOO D QXPEHU LQ WZR VWHSV ‚...
  • Page 41 Doing Arithmetic Inside Registers <RX FDQ GR DULWKPHWLF LQVLGH VWRUDJH UHJLVWHUV 5 WKURXJK 5  7KH UHVXOW LV VWRUHG LQ WKH UHJLVWHU Keys New Number in Register à 3 à  à U HJLVWHU QXPEHU 2OG FRQWHQWV  GLVSOD\HG QXPEHU Ã...

  • Page 42: Doing Arithmetic

    Doing Arithmetic 0DWK IXQFWLRQV RSHUDWH RQ WKH QXPEHU LQ WKH GLVSOD\ &DOFXODWH   WKHQ FDOFXODWH     Example. Keys: B‘ Display: Description: &DOFXODWHV WKH 0.25 UHFLSURFDO RI  B„ &DOFXODWHV √ Ã %  4.47 &DOFXODWHV √   BÃ...

  • Page 43: Using Parentheses In Calculations

    Power Operator ” 7KH SRZHU RSHUDWRU  UDLVHV WKH SUHFHGLQJ QXPEHU \YDOXH WR WKH SRZHU RI WKH IROORZLQJ QXPEHU [YDOXH  &DOFXODWH   WKHQ ILQG WKH FXEH URRW RI  Example. Keys: Display: Description:  # ”!1Ã 1,953,125.00 &DOFXODWHV    # ”! ‘1 &DOFXODWHV WKH FXEH...
  • Page 44 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: Display:...

  • Page 45: Picturing Financial Problems

    Picturing Financial Problems How to approach a Financial Problem 7KH ILQDQFLDO YRFDEXODU\ RI WKH +3 %,, LV VLPSOLILHG WR DSSO\ WR DOO ILQDQFLDO ILHOGV )RU H[DPSOH \RXU SURIHVVLRQ PD\ XVH WKH WHUP EDODQFH EDOORRQ SD\PHQW UHVLGXDO PDWXULW\ YDOXH RU UHPDLQLQJ DPRXQW WR GHVLJQDWH D YDOXH WKDW WKH +3 %,, NQRZV DV IXWXUH YDOXH  7KH VLPSOLILHG WHUPLQRORJ\ RI WKH +3 %,, LV EDVHG RQ FDVK IORZ...

  • Page 46: Signs Of Cash Flows

    6 , 5 6 7 . 2 0 U p - a r r o w s r e p r e s e n t p o s i t i v e c a s h f l o w s ( m o n e y r e c e i v e d ) . 5 , 0 0 0 .

  • Page 47: Periods And Cash Flows

    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 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...

  • Page 48: Compound Interest

    Compound Interest $ FRPSRXQGLQWHUHVW FRQWUDFW LV OLNH D VHULHV RI VLPSOHLQWHUHVW FRQWUDFWV WKDW DUH FRQQHFWHG 7KH OHQJWK RI HDFK VLPSOHLQWHUHVW FRQWUDFW LV HTXDO WR RQH FRPSRXQGLQJ SHULRG $W WKH HQG RI HDFK SHULRG WKH LQWHUHVW HDUQHG RQ HDFK VLPSOHLQWHUHVW FRQWUDFW LV DGGHG WR WKH SULQFLSDO )RU H[DPSOH LI \RX GHSRVLW  LQ D VDYLQJV DFFRXQW WKDW SD\V  DQQXDO LQWHUHVW FRPSRXQGHG PRQWKO\ \RXU HDUQLQJV IRU WKH ILUVW PRQWK ORRN OLNH D...

  • Page 49: Interest Rates

    Interest Rates :KHQ \RX DSSURDFK D ILQDQFLDO SUREOHP LW LV LPSRUWDQW WR UHFRJQL]H WKDW WKH LQWHUHVW UDWH RU UDWH RI UHWXUQ FDQ EH GHVFULEHG LQ DW OHDVW WKUHH GLIIHUHQW ZD\V $V D SHULRGLF UDWH 7KLV LV WKH UDWH WKDW LV DSSOLHG WR \RXU PRQH\ IURP SHULRG WR SHULRG $V DQ DQQXDO QRPLQDO UDWH 7KLV LV WKH SHULRGLF UDWH PXOWLSOLHG E\ WKH QXPEHU RI SHULRGV LQ D \HDU...
  • Page 50 <RX FDQ FDOFXODWH DQ\ YDOXH DIWHU HQWHULQJ WKH RWKHU IRXU &DVK IORZ GLDJUDPV IRU ORDQV PRUWJDJHV OHDVHV VDYLQJV DFFRXQWV RU DQ\ FRQWUDFW ZLWK UHJXODU FDVK IORZV RI WKH VDPH DPRXQW DUH QRUPDOO\ WUHDWHG DV 790 SUREOHPV )RU H[DPSOH IROORZLQJ LV D FDVK IORZ GLDJUDP IURP WKH ERUURZHU·V SHUVSHFWLYH IRU D \HDU  PRUWJDJH ZLWK D SD\PHQW RI  DW  DQQXDO LQWHUHVW ZLWK D  EDOORRQ...

  • Page 51: Recognizing A Cash Flow Problem

    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 $ FDVK IORZ GLDJUDP IRU DQ LQYHVWPHQW LQ D PXWXDO IXQG IROORZV 7KLV LV DQ H[DPSOH RI D SUREOHP WKDW LV VROYHG XVLQJ HLWKHU 1HW 3UHVHQW 9DOXH RU...

  • Page 53: Time Value Of Money Calculations

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  • Page 54: Pruwl]Dwlrq

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  • Page 55: Begin And End Modes

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  • Page 56 Keys: Display: Description: B˜ 6HWV SHULRGV SHU \HDU !4 € 12.00 6WRUHV QXPEHU RI 36.00 SHULRGV LQ ORDQ #F 6WRUHV DQQXDO QRPLQDO 10.50 LQWHUHVW UDWH "#Ã #Æ 6WRUHV DPRXQW 13,000.00 ERUURZHG 6WRUHV WKH DPRXQW OHIW 0.00 WR SD\ DIWHU  \HDUV &DOFXODWHV WKH PRQWKO\ –422.53 SD\PHQW 7KH QHJDWLYH...
  • Page 57 <RX GHFLGH WKDW WKH PD[LPXP PRQWKO\ Example: A Home Mortgage. PRUWJDJH SD\PHQW \RX FDQ DIIRUG LV  <RX FDQ PDNH D  GRZQ SD\PHQW DQG DQQXDO LQWHUHVW UDWHV DUH FXUUHQWO\   ,I \RX REWDLQ D  \HDU PRUWJDJH ZKDW LV WKH PD[LPXP SXUFKDVH SULFH \RX FDQ DIIRUG" PV = ? I/YR = 7.5% N = 30...
  • Page 58 <RX·YH REWDLQHG D Example: A Mortgage With a Balloon Payment.  \HDU  PRUWJDJH DW  DQQXDO LQWHUHVW <RX DQWLFLSDWH WKDW \RX ZLOO RZQ WKH KRXVH IRU IRXU \HDUV DQG WKHQ VHOO LW UHSD\LQJ WKH ORDQ ZLWK D EDOORRQ SD\PHQW :KDW ZLOO \RXU EDOORRQ SD\PHQW EH" 6ROYH WKLV SUREOHP XVLQJ WZR VWHSV  &DOFXODWH WKH ORDQ SD\PHQW XVLQJ D  \HDU WHUP  &DOFXODWH WKH UHPDLQLQJ EDODQFH DIWHU  \HDUV...
  • Page 59 6LQFH WKH SD\PHQW LV DW WKH HQG RI WKH PRQWK WKH SDVW SD\PHQW Step 2. DQG WKH EDOORRQ SD\PHQW RFFXU DW WKH VDPH WLPH 7KH ILQDO SD\PHQW LV WKH VXP RI 307 DQG )9 PV = 72,500.00 I/YR = 8.8% N = 4 P/YR = 2 .

  • Page 60: Savings Calculations

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  • Page 61 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 6HWV WR  \HDUV 6.00 &DOFXODWHV DPRXQW \RX 3,035.28...
  • Page 62 Keys: Display: Description: " ˜ 6HWV QXPEHU RI SHULRGV 24.00 SHU \HDU @Æ 6WRUHV LQLWLDO GHSRVLW &@P –2,000.00 6WRUHV UHJXODU –80.00 VHPLPRQWKO\ GHSRVLWV $!F 6WRUHV LQWHUHVW UDWH # … 6.30 6WRUHV QXPEHU RI 360.00 GHSRVLWV &DOFXODWHV EDODQFH 52,975.60 <RX RSW IRU DQ HDUO\ UHWLUHPHQW DIWHU D Example: An Annuity Account.

  • Page 63: Lease Calculations

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  • Page 64 FV = 7,500.00 M o n e y r e c e i v e d PMT = ? b y l e s s o r i s p o s i t i v e . . . I/YR = 0% N = 36 M o n e y p a i d o u t...
  • Page 65 <RXU FRPSDQ\ 4XLFN.LW Example: Lease With Advance Payments. 3ROH %DUQV SODQV WR OHDVH D IRUNOLIW IRU WKH ZDUHKRXVH 7KH OHDVH LV ZULWWHQ IRU D WHUP RI  \HDUV ZLWK PRQWKO\ SD\PHQWV RI  3D\PHQWV DUH GXH DW WKH EHJLQQLQJ RI WKH PRQWK ZLWK WKH ILUVW DQG ODVW SD\PHQWV GXH DW WKH RQVHW RI WKH OHDVH <RX KDYH DQ RSWLRQ WR EX\ WKH IRUNOLIW IRU  DW WKH HQG RI WKH OHDVLQJ SHULRG ,I WKH DQQXDO LQWHUHVW UDWH LV   ZKDW LV WKH FDSLWDOL]HG YDOXH RI WKH OHDVH"...
  • Page 66 Keys: Display: Description: B˜ 6HWV SD\PHQWV SHU \HDU "%€ 12.00 6WRUHV QXPEHU RI 47.00 SD\PHQWV "@P 6WRUHV PRQWKO\ –2,400.00 SD\PHQW 6WRUHV )9 IRU VWHS  0.00 6WRUHV LQWHUHVW UDWH Æ 9.00 &DOFXODWHV SUHVHQW 95,477.55 YDOXH RI  PRQWKO\ SD\PHQWV $GG WKH DGGLWLRQDO DGYDQFH SD\PHQW WR 39 6WRUH WKH DQVZHU Step 2.
  • Page 67 Amortization $PRUWL]DWLRQ LV WKH SURFHVV RI GLYLGLQJ D SD\PHQW LQWR WKH DPRXQW WKDW DSSOLHV WR LQWHUHVW DQG WKH DPRXQW WKDW DSSOLHV WR SULQFLSDO 3D\PHQWV QHDU WKH EHJLQQLQJ RI D ORDQ FRQWULEXWH PRUH LQWHUHVW DQG OHVV SULQFLSDO WKDQ SD\PHQWV QHDU WKH HQG RI D ORDQ AYMENT $ RINCI AL $ INTEREST $...
  • Page 68 $QQXDO QRPLQDO LQWHUHVW UDWH Æ 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 7R DPRUWL]H D VLQJOH SD\PHQW HQWHU WKH SHULRG QXPEHU Ä...
  • Page 69 Keys: Display: Description: B˜ 6HWV SD\PHQWV SHU \HDU !B… 12.00 6WRUHV WRWDO QXPEHU RI 360.00 SD\PHQWV %%#F 6WRUHV LQWHUHVW SHU \HDU &Æ 7.75 6WRUHV SUHVHQW YDOXH 180,000.00 6WRUHV IXWXUH YDOXH 0.00 &DOFXODWHV PRQWKO\ –1,289.54 SD\PHQW ,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 (QWHUV VWDUWLQJ DQG HQGLQJ SHULRGV...
  • Page 70 $PRUWL]H WKH VHFRQG \HDU Ä 'LVSOD\V 3(5 DQG WKH 13– 24 QH[W UDQJH RI SHULRGV 'LVSOD\V 35,1 DQG WKH –1,706.69 SULQFLSDO SDLG LQ WKH VHFRQG \HDU 'LVSOD\V ,17 DQG WKH –13,767.79 LQWHUHVW SDLG LQ WKH VHF RQG \HDU 'LVSOD\V %$/ DQG WKH 176,713.49 ORDQ EDODQFH DIWHU  SD\PHQWV...
  • Page 71 $PRUWL]H WKH     DQG  SD\PHQWV (QWHUV ILUVW SD\PHQW BÄ 1.00 'LVSOD\V 3(5 DQG WKH 1– 1 DPRUWL]HG SD\PHQW SHULRG 'LVSOD\V 35,1 DQG WKH ILUVW –310.42 SULQFLSDO SD\PHQW 'LVSOD\V ,17 DQG WKH LQWHU 0.00 HVW 'LVSOD\V %$/ DQG WKH ORDQ 13,939.58 EDODQFH DIWHU RQH SD\PHQW (QWHUV SD\PHQW WR DPRU...
  • Page 72 Interest Rate Conversions 7KH ,QWHUHVW &RQYHUVLRQ DSSOLFDWLRQ XVHV WKUHH NH\V È  ˜  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 È...
  • Page 73 First Bank Keys: Display: Description: %BÈ 6WRUHV QRPLQDO UDWH "B˜ 6.70 6WRUHV TXDUWHUO\ 4.00 FRPSRXQGLQJ SHULRGV B &DOFXODWHV DQQXDO 6.87 HIIHFWLYH UDWH Second Bank  #BÈ 6WRUHV QRPLQDO UDWH  B˜ 6.65 6WRUHV PRQWKO\ FRP 12.00 SRXQGLQJ SHULRGV B &DOFXODWHV DQQXDO 6.86 HIIHFWLYH UDWH Third Bank...
  • Page 74 7R DGMXVW DQ LQWHUHVW UDWH ZKHQ WKH FRPSRXQGLQJ SHULRG GLIIHUV IURP WKH SD\PHQW SHULRG FRPSOHWH WKH IROORZLQJ VWHSV È  (QWHU WKH QRPLQDO UDWH DQG SUHVV  (QWHU WKH QXPEHU RI ˜ FRPSRXQGLQJ SHULRGV LQ D \HDU DQG SUHVV  6ROYH IRU WKH HIIHFWLYH ...

  • Page 75: How To Use The Cash Flow Application

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  • Page 76 ,765.29 F l o w s r e c e i v e d a r e p o s i t i v e . -2,000.00 F l o w s p a i d o u t a r e n e g a t i v e . -4,000.00 -5,000.00 Keys:...

  • Page 77: Organizing Cash Flows

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  • Page 78: Entering Cash Flows

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  • Page 79 (QWHU WKH FDVK IORZV IURP WKH SUHFHGLQJ GLDJUDP DQG Example. FDOFXODWH WKH ,55<5 7KHQ FDOFXODWH WKH HIIHFWLYH LQWHUHVW UDWH $VVXPH WKHUH DUH  SHULRGV SHU \HDU Keys: Display: Description:  B˜ ˜ &OHDUV DOO UHJLVWHUV 0.00 @D 6HWV WR  12.00 (QWHUV LQLWLDO FDVK IORZ –11,000.00...
  • Page 80 DÃ 'Ã 7R UHSODFH D FDVK IORZ DPRXQW SUHVV DÃ "Ã W R VWRUH WKH QHZ DPRXQW LQ FDVK IORZV  WR  DÃ W R VWRUH WKH QHZ DPRXQW LQ FDVK IORZV  WR  DÃ WR VWRUH WKH DPRXQW LQ WKH QH[W FDVK IORZ DDÃ...
  • Page 81 +RZ PXFK VKRXOG \RX SD\ IRU WKH FRQWUDFW LI \RX ZLVK WR \LHOG D \HDUO\ UDWH RI  RQ \RXU LQYHVWPHQW" I/YR = 1 % 10,000 7, 00 ,000 ,000 Keys: Display: Description: & &OHDUV UHJLVWHUV  b 0.00 6HWV SD\PHQWV SHU \HDU 12.00 (QWHUV LQLWLDO FDVK IORZ 0.00...
  • Page 82 Keys: Display: Description: (QWHUV QXPEHU RI 9.00 D RFFXUUHQFHV (QWHUV QH[W FDVK IORZ 10,000.00 DÃ  DÃ  Ã 7KH FDVK IORZV WKDW GHVFULEH \RXU SURVSHFWLYH LQYHVWPHQW DUH QRZ LQ WKH FDOFXODWRU <RX FDQ SUHVV  IROORZHG E\ D QG UHSHDWHGO\ WR YLHZ WKH FDVK IORZV DQG QXPEHU RI WLPHV HDFK RFFXUV 1RZ WKDW \RX KDYH HQWHUHG WKH FDVK IORZV VWRUH WKH LQWHUHVW UDWH DQG FDOFXODWH WKH QHW SUHVHQW YDOXH...

  • Page 83: Calculating Internal Rate Of Return

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  • Page 84 Automatic Storage of IRR/YR and NPV Æ :KHQ \RX FDOFXODWH 139 WKH UHVXOW LV VWRUHG LQ 39 IRU \RXU FRQYHQLHQFH 7R UHFDOO WKDW UHVXOW SUHVV  ,I \RX KDYHQ·W FKDQJHG Æ WKH 790 YDOXHV IURP WKH ODVW H[DPSOH XVLQJ 139 SDJH   ZKHQ \RX SUHVV WKH UHVXOW LV  :KHQ \RX FDOFXODWH ,55<5 WKH UHVXOW LV DOVR VWRUHG LQ ,<5 )RU WKH...

  • Page 85: Statistical Calculations

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  • Page 86: Entering Statistical Data

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  • Page 87: Correcting Statistical Data

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  • Page 88 Keys Description to Display 3RSXODWLRQ VWDQGDUG 3RSXODWLRQ VWDQGDUG GHYLDWLRQ RI WKH [ GHYLDWLRQ RI WKH \YDOXHV YDOXHV LI \RX HQWHUHG \GDWD \YDOXH (VWLPDWH RI [ IRU D JLYHQ &RUUHODWLRQ FRHIILFLHQW YDOXH RI \ [YDOXH (VWLPDWH RI \ IRU D JLYHQ 6ORSH P RI FDOFXODWHG YDOXH RI [ OLQH...
  • Page 89 $ \DFKW FDSWDLQ ZDQWV WR GHWHUPLQH KRZ ORQJ LW WDNHV WR Example 1. FKDQJH D VDLO 6KH UDQGRPO\ FKRRVHV VL[ PHPEHUV RI KHU FUHZ REVHUYHV WKHP DV WKH\ FDUU\ RXW WKH VDLO FKDQJH DQG UHFRUGV WKH QXPEHUV RI PLQXWHV UHTXLUHG       &DOFXODWH WKH PHDQ DQG VDPSOH VWDQGDUG GHYLDWLRQ RI WKH WLPHV $OVR FDOFXODWH WKH URRW PHDQ VTXDUH ∑...

  • Page 90: Linear Regression

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  • Page 91 7KH VWUDLJKW OLQH FDOFXODWHG E\ OLQHDU UHJUHVVLRQ FDQ Linear Estimation. 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 7R HVWLPDWH [ IRU WKH JLYHQ \ HQWHU WKH \YDOXH WKHQ SUHVV 7R HVWLPDWH \ IRU WKH JLYHQ [ HQWHU WKH [YDOXH WKHQ SUHVV $OL·V $]DOHDV DGYHUWLVHV RQ D ORFDO UDGLR VWDWLRQ...
  • Page 92 Keys: Display: Description: &OHDUV VWDWLVWLFDO UHJLVWHUV 0A 0.00 (QWHUV PLQXWHV DQG VDOHV 1.00 IRU FRQVHFXWLYH ZHHNV 0A 0A 2.00 0A 3.00 0A 4.00 0A 5.00 6.00 &DOFXODWHV \LQWHUFHSW E  376.25 'LVSOD\V VORSH 425.88 &DOFXODWHV FRUUHODWLRQ 0.90 FRHIILFLHQW (VWLPDWH ZKDW WKH OHYHO RI VDOHV ZRXOG EH LI WKH EXVLQHVV SXUFKDVHG  RU  PLQXWHV RI DGYHUWLVLQJ (VWLPDWHV VDOHV LI  3,357.38...

  • Page 93: Weighted Mean

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  • Page 95: Additional Examples

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  • Page 96 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 *LYHQ WKH IROORZLQJ VDOHV GDWD ZKDW DUH WKH VDOHV HVWLPDWHV IRU Example.
  • Page 97 Cost of Not Taking a Cash Discount $ FDVK GLVFRXQW JLYHV D EX\HU D UHGXFWLRQ LQ SULFH LI WKH SD\PHQW LV PDGH ZLWKLQ D VSHFLILHG WLPH SHULRG )RU H[DPSOH ´ 1(7µ PHDQV WKDW WKH EX\HU FDQ GHGXFW  SHUFHQW LI SD\PHQW LV PDGH ZLWKLQ  GD\V ,I SD\PHQW LV QRW PDGH ZLWKLQ  GD\V WKH IXOO DPRXQW PXVW EH SDLG E\ WKH GD\ <RX FDQ XVH WKH HTXDWLRQ VKRZQ EHORZ WR FDOFXODWH WKH FRVW RI IDLOLQJ WR...

  • Page 98: Loans And Mortgages

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  • Page 99 <RX FXUUHQWO\ KDYH  LQ DQ DFFRXQW DW 'UHDP :RUOG Example. ,QYHVWPHQWV WKDW HDUQV  DQQXDO LQWHUHVW FRPSRXQGHG FRQWLQXRXVO\ $W WKH HQG RI HDFK PRQWK \RX GHSRVLW  LQ WKH DFFRXQW :KDW ZLOO WKH EDODQFH EH DIWHU  \HDUV" Keys: Display: Description: &Ç...
  • Page 100 $Q LQYHVWRU ZLVKHV WR SXUFKDVH D  PRUWJDJH WDNHQ Example. 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 "...

  • Page 101: Annual Percentage Rate For A Loan With Fees

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  • Page 102 7KH ORDQ ZLOO EH 0.00 FRPSOHWHO\ SDLG RII LQ  \HDUV &DOFXODWHV SD\PHQW (Æ –1,230.26 5HFDOOV ORDQ DPRXQW  ÇÆ 160,000.00 6XEWUDFWV SRLQWV 156,800 &DOFXODWHV $35 8.72 FRQVLGHULQJ IHHV $  \HDU  Example: Interest-Only Loan With Fee. DQQXDO LQWHUHVW LQWHUHVWRQO\ ORDQ KDV DQ RULJLQDWLRQ IHH RI WKUHH SRLQWV :KDW LV WKH \LHOG WR WKH OHQGHU"...
  • Page 103 Loan With a Partial (Odd) First Period 790 FDOFXODWLRQV DSSO\ WR ILQDQFLDO WUDQVDFWLRQV ZKHUH HDFK SD\PHQW SHULRG LV WKH VDPH OHQJWK +RZHYHU VLWXDWLRQV H[LVW ZKHUH WKH ILUVW SD\PHQW SHULRG LV QRW WKH VDPH OHQJWK DV WKH UHPDLQLQJ SHULRGV 7KLV ILUVW SHULRG LV VRPHWLPHV FDOOHG DQ RGG RU SDUWLDO ILUVW SHULRG ,I LQWHUHVW LV DSSOLHG WR DQ RGG ILUVW SHULRG LW LV XVXDOO\ FDOFXODWHG DV VLPSOH LQWHUHVW 6R XVLQJ WKH +3 %,, WR GR D SD\PHQW FDOFXODWLRQ ZLWK...
  • Page 104 !$€ 6WRUHV WHUP RI ORDQ 36.00 (QWHUV DPRXQW OHIW WR 0.00 SD\ DIWHU  SD\PHQWV &DOFXODWHV SD\PHQW –157.03 DPRXQW Automobile Loan <RX DUH EX\LQJ D QHZ  VHGDQ <RXU GRZQ SD\PHQW Example. LV  DQG \RX DUH JRLQJ WR ILQDQFH WKH UHPDLQLQJ  7KH FDU GHDOHU LV RIIHULQJ WZR FKRLFHV IRU ILQDQFLQJ $ \HDU ORDQ ZLWK DQ DQQXDO LQWHUHVW UDWH RI   $ \HDU ORDQ ZLWK DQ DQQXDO LQWHUHVW UDWH RI ...

  • Page 105: Canadian Mortgages

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  • Page 106 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 «"...
  • Page 107 <RXU FRPSDQ\·V UHJXODU SD\UROO LV JHQHUDWHG HYHU\ RWKHU )ULGD\ Part 2. 7KH EDQN DJUHHV WR DXWRPDWLFDOO\ GUDZ SD\PHQWV RI  RXW RI HDFK SD\FKHFN DSSUR[LPDWHO\ KDOI RI ZKDW D PRQWKO\ SD\PHQW ZRXOG EH DQG DGMXVW WKH SD\PHQW SHULRG DFFRUGLQJO\  FRPSRXQGLQJ SHULRGV SHU \HDU  :KDW ZRXOG EH WKH QHZ WHUP RI WKH ORDQ"...
  • Page 108 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 <RXU ROGHVW GDXJKWHU ZLOO DWWHQG FROOHJH LQ  \HDUV DQG \RX...
  • Page 109 :KHQ FRPSRXQGLQJ RFFXUV RQO\ RQFH SHU \HDU WKH HIIHFWLYH UDWH DQG WKH QRPLQDO UDWH DUH WKH VDPH 6WRUHV HIIHFWLYH UDWH DV 9.38 DQQXDO UDWH 6HW WR %HJLQ PRGH 3UHVV DQQXQFLDWRU LV QRW GLVSOD\HG BEGIN  ˜ 6HWV  SD\PHQW SHU 1.00 \HDU #P...
  • Page 110 6HW WR (QG PRGH 3UHVV DQQXQFLDWRU LV GLVSOD\HG BEGIN 6WRUHV DPRXQW \RX 52,713.28 QHHG Æ 6WRUHV DPRXQW \RX DUH 0.00 VWDUWLQJ ZLWK  ˜ 6HWV SD\PHQWV SHU \HDU ""€ 12.00 6WRUHV QXPEHU RI 144.00 GHSRVLWV 6WRUHV LQWHUHVW UDWH 9.00 &DOFXODWHV PRQWKO\ –204.54 GHSRVLW UHTXLUHG Gains That Go Untaxed Until Withdrawal...
  • Page 111 6HW WR %HJLQ PRGH 3UHVV DQQXQFLDWRU LV QRW GLVSOD\HG BEGIN Keys: Display: Description:  ˜ 6HWV  SD\PHQW SHU 1.00 \HDU !#€Ã &%#F 6WRUHV QXPEHU RI 35.00 8.18 SHULRGV DQG LQWHUHVW UDWH Æ 6WRUHV DPRXQW \RX 0.00 VWDUW ZLWK @P 6WRUHV DPRXQW RI –2,000.00 DQQXDO SD\PHQW...

  • Page 112: Value Of A Taxable Retirement Account

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  • Page 113: Cash Flow Examples

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  • Page 114 7KHQ WR FDOFXODWH WKH OHQGHU·V UHWXUQ HQWHU FDVK IORZV WKDW UHSUHVHQW WKH FRPSOHWH SLFWXUH RI WKH ZUDSDURXQG PRUWJDJH IURP WKH OHQGHU·V SRLQW RI YLHZ 4 7 , 5 0 . 2 2 8 6 . 5 9 ..
  • Page 115 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 <RX KDYH PDGH WKH IROORZLQJ GHSRVLWV RYHU Example: Value of a Fund. WKH SDVW WZR \HDUV LQWR D PRQH\ PDUNHW IXQG HDUQLQJ   :KDW LV WKH FXUUHQW EDODQFH RI WKH DFFRXQW"...
  • Page 116 (, (QWHUV FDVK IORZ JURXS –2,000.00 . 6WRUHV DQQXDO LQWHUHVW 8.80 UDWH &DOFXODWHV QHW SUHVHQW –29,203.14 YDOXH 139  DXWRPDWLFDOO\ VWRUHG DV 6WRUHV NQRZQ YDOXHV 24.00 0.00 &DOFXODWHV QHW IXWXUH 34,800.58 YDOXH 116 8: Additional Examples...

  • Page 117: Answers To Common Questions

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  • Page 118: Environmental Limits

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  • Page 119: Power And Batteries

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  • Page 120  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...

  • Page 121: Determining If The Calculator Requires Service

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  • Page 122: What Is Covered

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  • Page 123: If The Calculator Requires Service

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  • Page 124: Service Charge

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  • Page 125: Service Agreements

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  • Page 126 Replacement products may be either new or like-new. 2. HP warrants to you that HP software will not fail to execute its programming instructions after the date of purchase, for the period specified above, due to defects in material and workmanship when properly installed and used.
  • Page 127 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...
  • Page 129 More About Calculations IRR/YR Calculations 7KH FDOFXODWRU GHWHUPLQHV ,55<5 IRU D VHW RI FDVK IORZV XVLQJ PDWKHPDWLFDO IRUPXODV WKDW VHDUFK IRU WKH DQVZHU 7KH SURFHVV ILQGV D VROXWLRQ E\ HVWLPDWLQJ DQ DQVZHU DQG WKHQ XVLQJ WKDW HVWLPDWH WR GR DQRWKHU FDOFXODWLRQ 7KLV LV FDOOHG DQ LWHUDWLYH SURFHVV ,Q PRVW FDVHV WKH FDOFXODWRU ILQGV WKH GHVLUHG DQVZHU VLQFH WKHUH LV XVXDOO\ RQO\ RQH VROXWLRQ WR WKH FDOFXODWLRQ +RZHYHU...
  • Page 130 7KH FDOFXODWRU GLVSOD\V  7KHUH LV QR DQVZHU Case 5. No Solution 7KLV VLWXDWLRQ PLJKW EH WKH UHVXOW RI DQ HUURU VXFK DV D PLVWDNH LQ NH\LQJ LQ WKH FDVK IORZV $ FRPPRQ PLVWDNH WKDW UHVXOWV LQ WKLV PHVVDJH LV SXWWLQJ WKH ZURQJ VLJQ RQ D FDVK IORZ $ YDOLG FDVKIORZ VHULHV IRU DQ ,55<5 FDOFXODWLRQ PXVW KDYH DW OHDVW RQH SRVLWLYH DQG RQH QHJDWLYH FDVK IORZ Halting and Restarting IRR/YR...

  • Page 131: Range Of Numbers

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  • Page 132 Equations Margin and Markup Calculations 35& &267 35& &267  –   –    × ×     35& &267 Time Value of Money (TVM) 3D\PHQW 0RGH )DFWRU 6  IRU (QG PRGH  IRU %HJLQ PRGH I/YR   P/YR...
  • Page 133 )RU HDFK SD\PHQW DPRUWL]HG ,17 %$/ ï L ,17 LV URXQGHG WR WKH FXUUHQW GLVSOD\ VHWWLQJ ,17·  IRU SHULRG  LQ %HJLQ PRGH ,17 ZLWK VLJQ RI 307 307  ,17  351 Σ,17 Σ,17  ,17 Σ351 Σ351  351 Interest Rate Conversions P YR...
  • Page 134 Cash-Flow Calculations SHULRGLF LQWHUHVW UDWH WKH JURXS QXPEHU RI WKH FDVK IORZ &) DPRXQW RI WKH FDVK IORZ IRU JURXS M QXPEHU RI WLPHV WKH FDVK IORZ RFFXUV IRU JURXS M WKH JURXS QXPEHU RI WKH ODVW JURXS RI FDVK IORZV WRWDO QXPEHU RI FDVK IORZV SULRU WR JURXS M ∑...
  • Page 135 Statistics ∑ ∑ ∑ ------- ------ - --------- - ∑ ∑ ∑ – -------------- ------------------------------ - – ∑ ∑ – ------------- - ----------------------------- - – ∑ ∑ ∑ ∑ – -------------- – ------------- - σx σy ------------------------------ - ----------------------------- - ∑...
  • Page 137 Messages 3UHVV WR FOHDU D PHVVDJH IURP WKH GLVSOD\ All Clear 0HPRU\ KDV EHHQ HUDVHG SDJH   COPR HP 2000 &RS\ULJKW PHVVDJH Interrupted $Q ,55<5 ,<5 RU DPRUWL]DWLRQ FDOFXODWLRQ ZDV LQWHUUXSWHG E\ SUHVVLQJ No Solution 1R VROXWLRQ H[LVWV IRU YDOXHV HQWHUHG SDJH   Not Found $ VROXWLRQ IRU ,55<5 RU ,<5 PD\ RU PD\ QRW H[LVW ,I \RX DUH...
  • Page 138 running 5XQQLQJ  $ FDOFXODWLRQ LV LQ SURFHVV UFLO 8QGHUIORZ  $Q LQWHUPHGLDWH UHVXOW LQ 790 LV WRR VPDOO IRU WKH +3 %,, WR SURFHVV 7KLV PHVVDJH LV DOVR EULHIO\ GLVSOD\HG LI DQ\ FDOFXODWLRQ XQGHUIORZV ,Q WKLV FDVH LW LV IROORZHG E\ ]HUR 138 C: Messages...

  • Page 139: Special Keys

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  • Page 140 &RVW  &RVW RI QR GLVFRXQW  BEGIN %HJLQ PRGH  %RUURZLQJ HTXLW\  &XUVRU  %X\ RXW YDOXH  'HFLPDO SODFHV  & 'LJLW VHSDUDWRU  'LVFRXQW  &DQDGLDQ PRUWJDJHV  'LVFRXQWHG PRUWJDJH  &DSLWDOL]HG YDOXH  'LVFRXQWLQJ FDVK IORZV  &DVK IORZ  GLDJUDPV  'LVSOD\ FRQWUDVW ...
  • Page 141 )UHTXHQWO\ $VNHG 4XHVWLRQV  /RDQV  FULL LQWHUHVWRQO\  FUNC )XQFWLRQV  QXPEHU RI SD\PHQWV  )XWXUH YDOXH  RGG ILUVW SHULRG  /RJDULWKP  *XDUDQWHH  0 UHJLVWHU  “ *XHVVLQJ ,55<5  0DUJLQ  0DUNXS  ,QLWLDO FDVK IORZ  0DWXULW\ YDOXH  0HDQ  ZHLJKWHG ...

  • Page 142: Dylqjv

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