20070201
7-3-1
Compound Interest
PV
:
present
value
FV
:
future
value
PMT
: payment
n
: number of compound periods
I
%
: annual interest rate
i
is calculated using Newton’s Method.
S
= 0 assumed for end of term
S
= 1 assumed for beginning of term
F
(
i
) = Formula
I
u
Formula
II
(
I
% = 0)
Here:
i
(1 +
i
)
n
(1 +
i
×
S
)
[
(1 +
i
)
n
–1
]
=
α
i
(1 +
i
)
n
(1 +
i
×
S
)
[
(1 +
i
)
n
–1
]
=
α
(1+
i
)
n
1
=
β
(1+
i
)
n
1
=
β
+
(1 +
i
×
S
)
[
n
(1 +
i
)
–
n
–1
]
+S
–
nFV
(1 +
i
)
–
n
–1
i
i
PMT
(1 +
i
×
S
)[1 – (1 +
i
)
–
n
]
F
(
i
)
'
=
–
[
+S
[
1 – (1 +
i
)
–
n
]
]
+
(1 +
i
×
S
)
[
n
(1 +
i
)
–
n
–1
]
+S
–
nFV
(1 +
i
)
–
n
–1
i
i
PMT
(1 +
i
×
S
)[1 – (1 +
i
)
–
n
]
F
(
i
)
'
=
–
[
+S
[
1 – (1 +
i
)
–
n
]
]
PV
+
PMT
×
n
+
FV
=
0
PV
+
PMT
×
n
+
FV
=
0
PV
=
– (
PMT
×
n
+
FV
)
PV
=
– (
PMT
×
n
+
FV
)
7-3 Compound Interest
This calculator uses the following standard formulas to calculate compound interest.
u
Formula
I
Here:
PV + PMT
×
+ FV
i
(1 +
i
)
n
(1 +
i
)
n
(1 +
i
×
S
)
[
(1+
i
)
n
–1
]
1
= 0
i
=
100
I
%
PV + PMT
×
+ FV
i
(1 +
i
)
n
(1 +
i
)
n
(1 +
i
×
S
)
[
(1+
i
)
n
–1
]
1
= 0
i
=
100
I
%
PV
=
– (
PMT
×
+
FV
×
)
β
α
PV
=
– (
PMT
×
+
FV
×
)
β
α
FV
=
–
β
PMT
×
+
PV
α
FV
=
–
β
PMT
×
+
PV
α
PMT
=
–
β
PV
+
FV
×
α
PMT
=
–
β
PV
+
FV
×
α
n
=
log
{ }
log
(1 +
i
)
(1+
i
×
S
)
PMT
+
PVi
(1+
i
×
S
)
PMT
–
FVi
n
=
log
{ }
log
(1 +
i
)
(1+
i
×
S
)
PMT
+
PVi
(1+
i
×
S
)
PMT
–
FVi
Summary of Contents for CFX-9850GB PLUS
Page 19: ...20070201 4 Contents Appendix 1 Error Message Table α 1 1 2 Input Ranges α 2 1 ...
Page 335: ...20070201 u Input Example u Results 6 5 25 Tests ...
Page 361: ...20070201 Calculation Result Output Example p F distribution probability 6 7 15 Distribution ...
Page 435: ...20070201 8 8 2 Program Library egcw w ww w ...
Page 437: ...20070201 8 8 4 Program Library Example 1 Example 2 fw fw baw baw bf ca w w ...
Page 439: ...20070201 8 8 6 Program Library d wba wb w w ...
Page 441: ...20070201 8 8 8 Program Library dw fcde fcde w wfcde daw wfcde w ...
Page 443: ...20070201 8 8 10 Program Library b awaw bwaw aw x d w ...
Page 591: ...20070201 Appendix 1 Error Message Table 2 Input Ranges α ...