HP 10BII Manual
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46 4: Picturing Financial Problems
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46 4: Picturing Financial Problems
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4: Picturing Financial Problems 49
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4: Picturing Financial Problems 49
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4: Picturing Financial Problems 51 Recognizing a Cash Flow Problem $ILQDQFLDOSUREOHPWKDWGRHVQRWKDYHUHJXODUXQLIRUPSD\PHQWV VRPHWLPHVFDOOHGXQHYHQFDVKIORZV\fLVDFDVKIORZSUREOHPUDWKHUWKDQD 790SUREOHP $FDVKIORZGLDJUDPIRUDQLQYHVWPHQWLQDPXWXDOIXQGIROORZV7KLVLV DQH[DPSOHRIDSUREOHPWKDWLVVROYHGXVLQJHLWKHU *N 1HW3UHVHQW 9DOXH\fRU *9 ,QWHUQDO5DWHRI5HWXUQSHU
5: Time Value of Money Calculations 53 5 Time Value of Money Calculations Using the TVM Application 7KHWLPHYDOXHRIPRQH\ 790\fDSSOLFDWLRQLVXVHGIRU FRPSRXQGLQWHUHVWFDOFXODWLRQVWKDWLQYROYHUHJXODU XQLIRUPFDVKIORZV²FDOOHGSD\PHQWV2QFHWKHYDOXHVDUH HQWHUHG\RXFDQYDU\RQHYDOXHDWDWLPHZLWKRXWHQWHULQJ DOOWKHYDOXHVDJDLQ 7RXVH790VHYHUDOSUHUHTXLVLWHVPXVWEHPHW n7KHDPRXQWRIHDFKSD\PHQWPXVWEHWKHVDPH,IWKHSD\PHQW DPRXQWVYDU\XVHWKHSURFHGXUHVGHVFULEHGLQFKDSWHU´&DVK )ORZ&DOFXODWLRQVµ n3D\PHQWVPXVWRFFXUDWUHJXODULQWHUYDOV n7KHSD\PHQWSHULRGPXVWFRLQFLGHZLWKWKHLQWHUHVWFRPSRXQGLQJ SHULRG ,ILWGRHVQRWFRQYHUWWKHLQWHUHVWUDWHXVLQJWKH *\b *ZDQG*bNH\VGHVFULEHGRQSDJH \f n7KHUHPXVWEHDWOHDVWRQHSRVLWLYHDQGRQHQHJDWLYHFDVKIORZ 10B.book Page 53 Wednesday, June 21, 2000 5:19 PM
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5: Time Value of Money Calculations 55 Begin and End Modes %HIRUH\RXVWDUWD790FDOFXODWLRQLGHQWLI\ZKHWKHUWKH ILUVWSHULRGLFSD\PHQWRFFXUVDWWKHEHJLQQLQJRUHQGRI WKHILUVWSHULRG,IWKHILUVWSD\PHQWRFFXUVDWWKHHQGRI WKHILUVWSHULRGVHW\RXU+3%,,WR(QGPRGH LILW RFFXUVDWWKHEHJLQQLQJRIWKHILUVWSHULRGVHW\RXU FDOFXODWRUWR%HJLQPRGH 7RVZLWFKEHWZHHQPRGHVSUHVV *O7KHBEGINDQQXQFLDWRULV GLVSOD\HGZKHQ\RXUFDOFXODWRULVLQ%HJLQPRGH1RDQQXQFLDWRULV GLVSOD\HGZKHQ\RXDUHLQ(QGPRGH 0RUWJDJHVDQGORDQVW\SLFDOO\XVH(QGPRGH/HDVHVDQGVDYLQJVSODQV W\SLFDOO\XVH%HJLQPRGH Loan Calculations Example: A Car Loan.
56 5: Time Value of Money Calculations Part 2. $WDSULFHRIZKDWLQWHUHVWUDWHLVQHFHVVDU\WRORZHU\RXU SD\PHQWE\WR Part 3. ,ILQWHUHVWLV\bZKDWLVWKHPD[LPXP\RXFDQVSHQGRQWKH FDUWRORZHU\RXUFDUSD\PHQWWR Keys: Display: Description: *b12.006HWVSHULRGVSHU\HDU P36.006WRUHVQXPEHURI SHULRGVLQORDQ .10.506WRUHVDQQXDOQRPLQDO LQWHUHVWUDWH 13,000.006WRUHVDPRXQW ERUURZHG /0.006WRUHVWKHDPRXQWOHIW WRSD\DIWHU\HDUV 2–422.53&DOFXODWHVWKHPRQWKO\ SD\PHQW7KHQHJDWLYH VLJQLQGLFDWHVPRQH\ SDLGRXW 2–372.53HFUHDVHVSD\PHQW IURP .2.03&DOFXODWHVDQQXDO LQWHUHVWUDWHIRUWKH UHGXFHGSD\PHQW .10.506WRUHVRULJLQDOLQWHUHVW UDWH (2–375.006WRUHVGHVLUHG SD\PHQW 11,537.59&DOFXODWHVDPRXQWRI PRQH\WRILQDQFH 13,037.59$GGVWKHGRZQSD\ PHQWWRWKHDPRXQW ILQDQFHGIRUWRWDOSULFH RIWKHFDU 10B.book Page 56 Wednesday, June 21, 2000 5:19 PM
5: Time Value of Money Calculations 57 Example: A Home Mortgage.
58 5: Time Value of Money Calculations Example: A Mortgage With a Balloon Payment.
5: Time Value of Money Calculations 59 Step 2. 6LQFHWKHSD\PHQWLVDWWKHHQGRIWKHPRQWKWKHSDVWSD\PHQW DQGWKHEDOORRQSD\PHQWRFFXUDWWKHVDPHWLPH7KHILQDOSD\PHQWLVWKH VXPRI 307DQG)9 7KHYDOXHLQ 307VKRXOGDOZD\VEHURXQGHGWRWZR GHFLPDOSODFHVZKHQFDOFXODWLQJ )9RU39WRDYRLGVPDOO DFFXPXODWLYHGLVFUHSDQFLHVEHWZHHQQRQURXQ GHG QXPEHUVDQGDFWXDO GROODUVDQGFHQWV\fSD\PHQWV,IWKH GLVSOD\LVQRWVHWWRWZRGHFLPDOSODFHVSUHVV * Keys: Display: Description: *L2–1,424.065RXQGVSD\PHQWWR WZRGHFLPDOSODFHV WKHQVWRUHV P48.006WRUHV\HDUWHUP ï\fWKDW\RXH[SHFWWR RZQKRXVH /–163,388.39&DOFXODWHVORDQEDO DQFHDIWHU\HDUV 2 –164,812.45&DOFXODWHVWRWDOWK SD\PHQW 307DQG )9 \fWRSD\RIIORDQ PRQH\SDLGRXWLV QHJDWLYH\f 1234 I/YR = 8.8% N=4 ×12 P/YR=12 PMT = -1,424.06 PV = 172,500.00 FV=? End Mode 44 45 46 47 48... book Page 59 Wednesday, June 21, 2000 5:19 PM
60 5: Time Value of Money Calculations Savings Calculations Example: A Savings Account. ,I\RXGHSRVLWLQDVDYLQJV DFFRXQWWKDWSD\V\bDQQXDOLQWHUHVWFRPSRXQGHGDQQXDOO\DQGPDNH QRRWKHUGHSRVLWVWRWKHDFFRXQWKRZORQJZLOOLWWDNHIRUWKHDFFRXQWWR JURZWR 6LQFHWKLVDFFRXQWKDVQRUHJXODUSD\PHQWV 307 \fWKHSD\PHQW PRGH (QGRU%HJLQ\fLVLUUHOHYDQW Keys: Display: Description: *&0.00&OHDUVDOOUHJLVWHUV *b1.006HWV 3