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Casio fx-9860G SD User Manual

Page 375

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20050401

FV =

– (PMT

× n + PV )

n

PMT =

PV + FV

PMT

n =

PV + FV

• A deposit is indicated by a plus sign (+), while a withdrawal is indicated by a minus sign (–).

u

u

u

u

uConverting 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.

i = I%'

÷100

When calculating

I

%

After

I

% is obtained, the following calculation is performed to convert to

I

%'.

I%' =

I%

(1 +

)

–1

[C / Y ]

[P / Y ]

100

{ }

×[C / Y ]×100

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.

7-3-2

Compound Interest

I%' =

I%

(1 +

)

–1

[C / Y ]

[P / Y ]

100

× [C / Y ]

{ }

Ч100