Casio SERIES FX-9860G User Manual
Page 378
20070201
• A deposit is indicated by a plus sign (+), while a withdrawal is indicated by a minus sign (–).
u Converting between the nominal interest rate and effective interest rate
The nominal interest rate (
I
% value input by user) is converted to an effective interest
rate (
I%' ) when the number of installments per year (
P/Y
) is different from the number of
compound interest calculation periods (
C/Y
). This conversion is required for installment
savings accounts, loan repayments, etc.
P/Y
: installment
periods per year
C/Y
: compounding
periods per year
When calculating
n
,
PV
,
PMT
,
FV
The following calculation is performed after conversion from the nominal interest rate to the
effective interest rate, and the result is used for all subsequent calculations.
When calculating
I
%
After
I
% is obtained, the following calculation is performed to convert to
I
%
'.
P/Y
: installment
periods per year
C/Y
: compounding
periods per year
The value of
I
%
' is returned as the result of the
I
% calculation.
FV
= – (PMT
× n + PV )
FV
= – (PMT
× n + PV )
n
PMT
= –
PV
+ FV
n
PMT
= –
PV
+ FV
PMT
n
= –
PV
+ FV
PMT
n
= –
PV
+ FV
I%
' =
I%
(1+
)
–1
[C / Y ]
[P / Y ]
100
× [C / Y ]
{ }
× 100
I%
' =
I%
(1+
)
–1
[C / Y ]
[P / Y ]
100
× [C / Y ]
{ }
× 100
i
= I%
'
÷100
i
= I%
'
÷100
I%
' =
I%
(1+
)
–1
[C / Y ]
[P / Y ]
100
{ }
× [C / Y ] × 100
I%
' =
I%
(1+
)
–1
[C / Y ]
[P / Y ]
100
{ }
× [C / Y ] × 100
7-3-2
Compound Interest