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I = i%' ÷100 – Casio fx-9860G SD User Manual

Page 382

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20061001

BAL

0

=

PV

(

INT

1

= 0 and

PRN

1

=

PMT

at beginning of installment term)

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

%' ) for installment loans where the number of installments per year is different from the

number of compound interest calculation periods.

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.

Press 4(AMT) from the Financial 1 screen to display the following input screen for
amortization.

4

(AMT)

PM1 .............................. first installment of installments 1 through

n

PM2 .............................. second installment of installments 1 through

n

n

.................................. installments

I

% ................................ interest rate

PV

............................... principal

PMT

............................ payment for each installment

FV

............................... balance following final installment

P

/

Y

.............................. installments per year

a : INT

PM1

= I BAL

PM1–1

×

i I × (PMT sign)

b : PRN

PM1

= PMT + BAL

PM1–1

×

i

c : BAL

PM2

= BAL

PM2–1

+

PRN

PM2

d :

Σ

PRN = PRN

PM1

+

PRN

PM1+1

+ … +

PRN

PM2

e :

Σ

INT = INT

PM1

+

INT

PM1+1

+ … +

INT

PM2

PM2

PM1

PM2

PM1

a : INT

PM1

= I BAL

PM1–1

×

i I × (PMT sign)

b : PRN

PM1

= PMT + BAL

PM1–1

×

i

c : BAL

PM2

= BAL

PM2–1

+

PRN

PM2

d :

Σ

PRN = PRN

PM1

+

PRN

PM1+1

+ … +

PRN

PM2

e :

Σ

INT = INT

PM1

+

INT

PM1+1

+ … +

INT

PM2

PM2

PM1

PM2

PM1

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

7-5-2

Amortization

20070101