Compound Interest Calculations - Casio FX-9750G PLUS User's Manual & Technical Reference

19-3 Compound Interest Calculations

This calculator uses the following standard formulas to calculate compound
interest.
u u u u u Formula I
u u u u u Formula II (I% = 0)
326
(1+ i × S)[(1+ i)
PV+PMT ×
i(1+ i)
Here:
α
PV= –(PMT × + FV ×
α
PMT × + PV
FV= –
β
PV + FV ×
PMT= –
α
{
(1 + i S ) PMT–FVi
log
(1 + i S ) PMT+PVi
n =
log(1+ i)
(1 + i × S)[(1 + i)
α
=
i(1 + i)
n
1
β
=
(1 + i)
n
F i ) = Formula I
(
[
(1+ i S)[1– (1+ i)
PMT
–
F(i)'=
i
–nFV (1+ i) –n–1
PV + PMT × n + FV = 0
Here:
PV = – (PMT × n + FV )
FV = – (PMT × n + PV )
–1]
n
+ FV
n
β
PV
)
FV
PMT
n
I
%
β i
is calculated using Newton's Method.
S
= 1 assumed for beginning of term
}
S
= 0 assumed for end of term
–1]
n
]
–n
+ (1+ i S)[n(1+ i)
i
1
= 0
(1+ i)
n
: present value
: future value
: payment
:
number of compound periods
: annual interest rate
]+S [1–(1+ i)
–n–1
I %
i =
100
]
]
–n