Casio CFX-9850G PLUS, User'S Manual & Technical Reference

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326
19-3 Compound Interest Calculations
This calculator uses the following standard formulas to calculate compound
interest.
u u u u u
Formula I
PV+PMT
×
+ FV
i
(1+
i
)
n
(1+
i
)
n
(1+
i
×
S
)
[
(1+
i
)
n
–1
]
1
= 0
i
=
100
I
%
Here:
PV=
–(
PMT
×
+
FV
×
)
β α
FV=
–
β
PMT
×
+
PV
α
PMT=
–
β
PV
+
FV
×
α
n =
log
{ }
log (1+ i )
(1+
i S
)
PMT
+
PVi
(1+
i S
)
PMT
–
FVi
i
(1+
i
)
n
(1+
i
×
S
)
[
(1+
i
)
n
–1
]
=
α
(1+
i
)
n
1
=
β
F
(
i
) = Formula
I
+
(1+
i S
)
[
n
(1+
i
)
– n –1
]
+S
[
1–(1+
i
)
– n
]
–
nFV
(1+
i
)
–
n
–1
i i
PMT
(1+
i S
)[1– (1+
i
) –
n
]
F
(
i
)'
=
–
[ ]
u u
u u
u
Formula
II
( I % = 0)
PV
+
PMT
×
n
+
FV =
0
Here:
PV =
– (
PMT
×
n
+
FV
)
FV =
– (
PMT
×
n
+
PV
)
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
= 1 assumed for beginning of term
S
= 0 assumed for end of term