68 5: Time Value of Money Calculations
7KHQXPEHUVGLVSOD\HGIRULQWHUHVWSULQFLSDODQGEDODQFHDUHURXQGHGWR
WKHFXUUHQWGLVSOD\VHWWLQJ
To Amortize. 7RDPRUWL]HDVLQJOHSD\PHQWHQWHUWKHSHULRGQXPEHU
DQGSUHVV
7KH+3%,,GLVSOD\VWKHDQQXQFLDWRUPERIROORZHG
E\WKHVWDUWLQJDQGHQGLQJSD\PHQWVWKDWZLOOEHDPRUWL]HG
3UHVV
WRVHHLQWHUHVWINT3UHVV DJDLQWRVHHWKHSULQFLSDOPRIN
DQGDJDLQWRVHHWKHEDODQFH
BAL&RQWLQXHSUHVVLQJ WRF\FOHWKURXJK
WKHVDPHYDOXHVDJDLQ
7RDPRUWL]HDUDQJHRISD\PHQWVHQWHUVWDUWLQJSHULRGQXPEHU
HQGLQJ
SHULRGQXPEHUWKHQSUHVV
7KH+3%,,GLVSOD\VWKHDQQXQFLDWRU
PERIROORZHGE\WKHVWDUWLQJDQGHQGLQJSD\PHQWVWKDWZLOOEH
DPRUWL]HG7KHQSUHVV
UHSHDWHGO\WRF\FOHWKURXJKLQWHUHVWSULQFLSDO
DQGEDODQFH
3UHVV
DJDLQWRPRYHWRWKHQH[WVHWRISHULRGV7KLVDXWR
LQFUHPHQWIHDWXUHVDYHV\RXWKHNH\VWURNHVRIHQWHULQJWKHQHZVWDUWLQJ
DQGHQGLQJSHULRGV
,I\RXVWRUHUHFDOORUSHUIRUPDQ\RWKHUFDOFXODWLRQVGXULQJ
DPRUWL]DWLRQSUHVVLQJ
ZLOOQRORQJHUF\FOHWKURXJKLQWHUHVWSULQFLSDO
DQGEDODQFH7RUHVXPHDPRUWL]DWLRQZLWKWKHVDPHVHWRISHULRGVSUHVV
Example: Amortizing a Range of Payments. &DOFXODWHWKHILUVWWZR
\HDUVRIWKHDQQXDODPRUWL]DWLRQVFKHGXOHIRUD\HDU
PRUWJDJHDWDQQXDOLQWHUHVWZLWKPRQWKO\SD\PHQWV
6HWWR(QGPRGH3UHVV
LIBEGINDQQXQFLDWRULVGLVSOD\HG
$QQXDOQRPLQDOLQWHUHVWUDWH
6WDUWLQJEDODQFH
(QGLQJEDODQFH
3D\PHQWDPRXQWURXQGHGWRWKHGLVSOD\IRUPDW
1XPEHURISD\PHQWVSHU\HDU
.book Page 68 Wednesday, June 21, 2000 5:19 PM