Casio fx-9750G PLUS - Manual (Page 354)

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