Compound Interest - Casio ALGEBRA FX 2.0 PLUS User Manual

2-3 Compound Interest

This calculator uses the following standard formulas to calculate compound interest.
u u u u u Formula I
PV+PMT
Here:
PV= –(PMT
FV= –
PMT= –
n =
=
=
F i
( ) = Formula I
F(i) =
u u u u u Formula II (I% = 0)
PV + PMT n + FV = 0
Here:
PV = – (PMT
Compound Interest
(1+ i S) (1+ i)
n
i(1+ i)
+ FV
PMT + PV
PV + FV
{
(1+ i S ) PMT–FVi
log
(1+ i S ) PMT+PVi
log(1+ i)
n
(1+ i S) (1+ i) –1
n
i(1+ i)
1
n
(1+ i)
(1 + i S)[1– (1 + i)
PMT
–
i
–
–n
+S 1–(1 + i)
n + FV )
2-3-1
n
–1
+ FV
(1+ i)
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
}
–n
]
+ (1 + i S) n(1 + i)
i
–n–1
nFV(1 + i)
20010101 20011201
1
I %
= 0
i =
n
100
–n–1
+S