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HP 10BII Manual

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$Page 56 56 5: Time Value of Money Calculations Part 2. $WDSULFHRIZKDWLQWHUHVWUDWHLVQHFHVVDU\WRORZHU\RXU SD\PHQWE\WR Part 3. ,ILQWHUHVWLV\bZKDWLVWKHPD[LPXP\RXFDQVSHQGRQWKH FDUWRORZHU\RXUFDUSD\PHQWWR Keys: Display: Description: *b12.006HWVSHULRGVSHU\HDU P36.006WRUHVQXPEHURI SHULRGVLQORDQ .10.506WRUHVDQQXDOQRPLQDO LQWHUHVWUDWH 13,000.006WRUHVDPRXQW ERUURZHG /0.006WRUHVWKHDPRXQWOHIW...$

Page 57 5: Time Value of Money Calculations 57
Example: A Home Mortgage.

Page 58 58 5: Time Value of Money Calculations
Example: A Mortgage With a Balloon Payment.

$Page 59 5: Time Value of Money Calculations 59 Step 2. 6LQFHWKHSD\PHQWLVDWWKHHQGRIWKHPRQWKWKHSDVWSD\PHQW DQGWKHEDOORRQSD\PHQWRFFXUDWWKHVDPHWLPH7KHILQDOSD\PHQWLVWKH VXPRI 307DQG)9 7KHYDOXHLQ 307VKRXOGDOZD\VEHURXQGHGWRWZR GHFLPDOSODFHVZKHQFDOFXODWLQJ )9RU39WRDYRLGVPDOO DFFXPXODWLYHGLVFUHSDQFLHVEHWZHHQQRQURXQ GHG QXPEHUVDQGDFWXDO GROODUVDQGFHQWV\fSD\PHQWV,IWKH GLVSOD\LVQRWVHWWRWZRGHFLPDOSODFHVSUHVV * Keys: Display: Description:...$

$Page 60 60 5: Time Value of Money Calculations Savings Calculations Example: A Savings Account. ,I\RXGHSRVLWLQDVDYLQJV DFFRXQWWKDWSD\V\bDQQXDOLQWHUHVWFRPSRXQGHGDQQXDOO\DQGPDNH QRRWKHUGHSRVLWVWRWKHDFFRXQWKRZORQJZLOOLWWDNHIRUWKHDFFRXQWWR JURZWR 6LQFHWKLVDFFRXQWKDVQRUHJXODUSD\PHQWV 307 \fWKHSD\PHQW PRGH (QGRU%HJLQ\fLVLUUHOHYDQW Keys: Display: Description: *&0.00&OHDUVDOOUHJLVWHUV *b1.006HWV 3$

$Page 61 5: Time Value of Money Calculations 61 6LQFHWKHFDOFXODWHGYDOXHRI1LVEHWZHHQDQGLWZLOOWDNHVL[\HDUVRI DQQXDOFRPSRXQGLQJWRDFKLHYHDEDODQFHRIDW OHDVW&DOFXODWHWKH DFWXDOEDODQFHDWWKHHQGRIVL[\HDUV Example: An Individual Retirement Account.$

Page 62 62 5: Time Value of Money Calculations
Example: An Annuity Account.

$Page 63 5: Time Value of Money Calculations 63 Lease Calculations $OHDVHLVDORDQRIYDOXDEOHSURSHUW\ OLNHUHDOHVWDWHDXWRPRELOHVRU HTXLSPHQW\fIRUDVSHFLILFDPRXQWRIWLPHLQH[FKDQJHIRUUHJXODU SD\PHQWV6RPHOHDVHVDUHZULWWHQDVSXUFKDVHDJUHHPHQWVZLWKDQ RSWLRQWREX\DWWKHHQGRIWKHOHDVH VRPHWLPHVIRUDVOLWWOHDV\f 7KHGHILQHGIXWXUHYDOXH )9\fRIWKHSURSHUW\DWWKHHQGRIDOHDVHLV VRPHWLPHVFDOOHGWKH´UHVLGXDOYDOXHµRU´EX\RXWYDOXHµ...$

$Page 64 64 5: Time Value of Money Calculations 6HWWR%HJLQPRGH3UHVV*OLIDQQXQFLDWRULVQRWGLVSOD\HG 1RWLFHWKDWHYHQLIWKHFXVWRPHUFKRRVHVQRWWREX\WKHFDUWKHOHVVRU VWLOOLQFOXGHVDFDVKIORZFRPLQJLQDWWKHHQGRIWKHOHDVHHTXDOWRWKH UHVLGXDOYDOXHRIWKHFDU:KHWKHUWKHFXVWRPHUEX\VWKHFDURULWLVVROG RQWKHRSHQPDUNHWWKHOHVVRUH[SHFWVWRUHFRYHU Keys: Display: Description: *b12.006HWVSD\PHQWVSHU\HDU .10.006WRUHVGHVLUHGDQQXDO \LHOG...$

Page 65 5: Time Value of Money Calculations 65
Example: Lease With Advance Payments.

$Page 66 66 5: Time Value of Money Calculations Step 2. $GGWKHDGGLWLRQDODGYDQFHSD\PHQWWR396WRUHWKHDQVZHU Step 3. )LQGWKHSUHVHQWYDOXHRIWKHEX\RSWLRQ Step 4. $GGWKHUHVXOWVRIVWHSVDQG Keys: Display: Description: *b12.006HWVSD\PHQWVSHU\HDU P47.006WRUHVQXPEHURI SD\PHQWV (2–2,400.006WRUHVPRQWKO\ SD\PHQW /0.006WRUHV)9IRUVWHS .9.006WRUHVLQWHUHVWUDWH 95,477.55&DOFXODWHVSUHVHQW YDOXHRIPRQWKO\ SD\PHQWV 2(97,877.55$GGVDGGLWLRQDO DGYDQFHSD\PHQW...$

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							5: Time Value of Money Calculations 61
6LQFHWKHFDOFXODWHGYDOXHRI1LVEHWZHHQDQGLWZLOOWDNHVL[\HDUVRI
DQQXDOFRPSRXQGLQJWRDFKLHYHDEDODQFHRIDW OHDVW&DOFXODWHWKH
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Example: An Individual Retirement Account.

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							62 5: Time Value of Money Calculations
Example: An Annuity Account.

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							5: Time Value of Money Calculations 63
Lease Calculations
$OHDVHLVDORDQRIYDOXDEOHSURSHUW\OLNHUHDOHVWDWHDXWRPRELOHVRU
HTXLSPHQW\fIRUDVSHFLILFDPRXQWRIWLPHLQH[FKDQJHIRUUHJXODU
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Example: Calculating a Lease Payment. $FXVWRPHUZLVKHVWROHDVH
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 .book  Page 63  Wednesday, June 21, 2000  5:19 PM

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							64 5: Time Value of Money Calculations
6HWWR%HJLQPRGH3UHVV*OLIDQQXQFLDWRULVQRWGLVSOD\HG
1RWLFHWKDWHYHQLIWKHFXVWRPHUFKRRVHVQRWWREX\WKHFDUWKHOHVVRU
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12 PMT=?
I/YR = 10%
N=36
P/YR=12
PV = -13,500.00 FV = 7,500.00
Begin Mode 35 36
Money received
by lessor
is positive
Money paid out
by lessor is
negative
...
10B.book  Page 64  Wednesday, June 21, 2000  5:19 PM

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							5: Time Value of Money Calculations 65
Example: Lease With Advance Payments.

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							66 5: Time Value of Money Calculations
Step 2. $GGWKHDGGLWLRQDODGYDQFHSD\PHQWWR396WRUHWKHDQVZHU
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10B.book  Page 66  Wednesday, June 21, 2000  5:19 PM

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							5: Time Value of Money Calculations 67
Amortization
$PRUWL]DWLRQLVWKHSURFHVVRIGLYLGLQJDSD\PHQWLQWRWKH
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							68 5: Time Value of Money Calculations
7KHQXPEHUVGLVSOD\HGIRULQWHUHVWSULQFLSDODQGEDODQFHDUHURXQGHGWR
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 .book  Page 68  Wednesday, June 21, 2000  5:19 PM

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							5: Time Value of Money Calculations 69
,I\RXDOUHDG\NQRZWKHPRUWJDJHSD\PHQW\RXFDQHQWHUDQGVWRUHLWMXVW
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10B.book  Page 69  Wednesday, June 21, 2000  5:19 PM

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							70 5: Time Value of Money Calculations
$PRUWL]HWKHVHFRQG\HDU
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Example: Amortizing a Single Payment. $PRUWL]HWKHVWWKDQG
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10B.book  Page 70  Wednesday, June 21, 2000  5:19 PM

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