74 5: Time Value of Money Calculations
7RDGMXVWDQLQWHUHVWUDWHZKHQWKHFRPSRXQGLQJSHULRGGLIIHUVIURPWKH
SD\PHQWSHULRGFRPSOHWHWKHIROORZLQJVWHSV
(QWHUWKHQRPLQDOUDWHDQGSUHVV
(QWHUWKHQXPEHURI
FRPSRXQGLQJSHULRGVLQD\HDUDQGSUHVV
6ROYHIRUWKHHIIHFWLYH
UDWHE\SUHVVLQJ
(QWHUWKHQXPEHURISD\PHQWSHULRGVLQD\HDUDQGSUHVV
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
LIDQQXQFLDWRULVQRWGLVSOD\HG
Keys: Display: Description:
5.00
6WRUHVQRPLQDOSHUFHQWDJH
UDWH
365.00
6WRUHVEDQN·VFRPSRXQGLQJ
SHULRGVSHU\HDU
5.13
&DOFXODWHVDQQXDOHIIHFWLYH
UDWH
12.00
6WRUHVPRQWKO\SHULRGV
5.01
&DOFXODWHVHTXLYDOHQW
QRPLQDOSHUFHQWDJHUDWHIRU
PRQWKO\FRPSRXQGLQJ
0.00
6WRUHVSUHVHQWYDOXH
–25.00
6WRUHVSD\PHQW
84.00
6WRUHVWRWDOQXPEHURI
SD\PHQWV
2,519.61
&DOFXODWHVEDODQFHDIWHU
\HDUV
10B.book Page 74 Wednesday, June 21, 2000 5:19 PM