74 5: Time Value of Money Calculations
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(QWHUWKHQRPLQDOUDWHDQGSUHVV
*
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*b
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*Z
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*b
6ROYHIRUWKHDGMXVWHGQRPLQDOUDWHE\SUHVVLQJ
*
Example: Monthly Payments, Daily Compounding. 6WDUWLQJWRGD\
\RXPDNHPRQWKO\GHSRVLWVRIWRDQDFFRXQWSD\LQJLQWHUHVW
FRPSRXQGHGGDLO\XVLQJDGD\\HDU:KDWZLOOWKHEDODQFHEHLQ
VHYHQ\HDUV"
Step 1. &DOFXODWHWKHHTXLYDOHQWUDWHZLWKPRQWKO\FRPSRXQGLQJ
6LQFH120DQG,<5VKDUHWKHVDPHUHJLVWHUWKLVYDOXHLVUHDG\IRUXVH
LQWKHUHVWRIWKHSUREOHP
Step 2. &DOFXODWHWKHIXWXUHYDOXH
6HWWR%HJLQPRGH3UHVV
*O
LIDQQXQFLDWRULVQRWGLVSOD\HG
Keys: Display: Description:
*
5.00
6WRUHVQRPLQDOSHUFHQWDJH
UDWH
*b
365.00
6WRUHVEDQN·VFRPSRXQGLQJ
SHULRGVSHU\HDU
*Z
5.13
&DOFXODWHVDQQXDOHIIHFWLYH
UDWH
*b
12.00
6WRUHVPRQWKO\SHULRGV
*
5.01
&DOFXODWHVHTXLYDOHQW
QRPLQDOSHUFHQWDJHUDWHIRU
PRQWKO\FRPSRXQGLQJ
0.00
6WRUHVSUHVHQWYDOXH
(2
–25.00
6WRUHVSD\PHQW
*U
84.00
6WRUHVWRWDOQXPEHURI
SD\PHQWV
/
2,519.61
&DOFXODWHVEDODQFHDIWHU
\HDUV
10B.book Page 74 Wednesday, June 21, 2000 5:19 PM