Casio fx-9860G AU PLUS, User Manual

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20050401
7-3 Compound Interest
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
–
nFV (1 + i )
– n –1
i i
PMT
(1 +
i
×
S
)[1– (1 +
i
)
–
n ]
F ( i ) '= –
[
+S
[
1–(1 + i )
– n
]
]
u u u u u
Formula
II
( I % = 0)
PV + PMT
×
n + FV = 0
Here:
PV = – ( PMT
×
n + FV )
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
7-3-1
Compound Interest