
7.6 The Future Value with Compounding
FV 5 PV 11
r
m
n2m
7.7 The Future Value of a Cash Flow Series
FV 5
X
n
j21
CF
j
ð11rÞ
i
7.8 The Future Value of an Annuity
FV
a
5 PMT
ð11rÞ
n
2 1
r
7.9 The Future Value of an Annuity Due
FV
ad
5 PMT
ð11rÞ
n
2 1
r
ð1 1 rÞ
7.10 The Future Value of an Annuity with Compounding
FV
a
5 PMT
ð11ðr=mÞÞ
mn
2 1
r=m
7.11 Monthly Payment
PMT 5 P
rð11rÞ
n
ð11rÞ
n
2 1
7.12 The Present Value of a Single Sum
PV 5
FV
ð11rÞ
n
127Financial Mathematics