Compound Interest Calculations - Casio CFX-9850G PLUS Calculations Manual

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:
PV= –(PMT + FV
PMT + PV
FV= –
PV + FV
PMT= –
{
(1 + i S ) PMT–FVi
log
(1 + i S ) PMT+PVi
n =
log(1 + i)
(1 + i S) (1 + i)
=
n
i(1 + i)
1
=
n
(1 + i)
F i
( ) = Formula I
(1 + i S)[1– (1 + i)
PMT
–
F(i)'=
i
–n–1
–nFV (1 + i)
PV + PMT n + FV = 0
Here:
PV = – (PMT n + FV )
FV = – (PMT n + PV )
n
–1
+ FV
n
PV
)
FV
PMT
n
I
%
i
is calculated using Newton's Method.
S
= 1 assumed for beginning of term
S
= 0 assumed for end of term
}
n
–1
–n
]
+ (1 + i S) n(1 + i)
i
1
= 0
n
(1+ i)
: present value
: future value
: payment
:
number of compound periods
: annual interest rate
–n–1
+S 1–(1 + i)
I %
i =
100
–n