Casio FX-9750GII-SC User Guide - Page 203

Converting between the nominal interest rate and effective interest rate, interest rate

Page 203 highlights

a : ,17PM1 = I BALPM1-1 s i I s (307 sign) b : PRNPM1 =307 + BALPM1-1 s i c : BALPM2 = BALPM2-1 + PRNPM2 PM2 3 d : PRN = PRNPM1 + PRNPM1+1 + ... + PRNPM2 PM1 3PM2 e : ,17=,17PM1 +,17PM1+1 + ... + ,17PM2 PM1 BAL0 = PV (,171 = 0 and PRN1 = 307 at beginning of installment term) S 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. { }[C/Y] I%' = (1+ I% [P/Y ] ) -1 × 100 100 × [C/Y ] 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 Press (AMT) from the Financial 1 screen to display the following input screen for amortization. (AMT) PM1....... first installment of installments 1 through n PM2....... second installment of installments 1 through n n installments I% ........ interest rate PV ........ principal 307 ..... payment for each installment FV ........ balance following final installment P/Y ....... installments per year C/Y ....... compoundings per year After configuring the parameters, use one of the function menus noted below to perform the corresponding calculation. • {BAL} ... {balance of principal after installment PM2} • {INT} ... {interest portion of installment PM1} • {PRN} ... {principal portion of installment PM1} 7-8

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7-8
BAL
0
=
PV
(
1
= 0 and
PRN
1
=
at beginning of installment term)
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
(AMT) from the Financial 1 screen to display the following input screen for
amortization.
(AMT)
PM1
.......
first installment of installments 1 through
n
PM2
.......
second installment of installments 1 through
n
n
...........
installments
I
%
........
interest rate
PV
........
principal
.....
payment for each installment
FV
........
balance following final installment
P
/
Y
.......
installments per year
C
/
Y
.......
compoundings per year
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {
BAL
} … {balance of principal after installment PM2}
• {
INT
} … {interest portion of installment PM1}
• {
PRN
} … {principal portion of installment PM1}
a
:
PM1
=I
BAL
PM1–1
i
I
(
sign
)
b
:
PRN
PM1
=
+
BAL
PM1–1
i
c
:
BAL
PM2
=
BAL
PM2–1
+
PRN
PM2
d
:
PRN
=
PRN
PM1
+
PRN
PM1+1
+ … +
PRN
PM2
e
:
=
PM1
+
PM1+1
+ … +
PM2
PM2
PM1
PM2
PM1
a
:
PM1
=I
BAL
PM1–1
i
I
(
sign
)
b
:
PRN
PM1
=
+
BAL
PM1–1
i
c
:
BAL
PM2
=
BAL
PM2–1
+
PRN
PM2
d
:
PRN
=
PRN
PM1
+
PRN
PM1+1
+ … +
PRN
PM2
e
:
=
PM1
+
PM1+1
+ … +
PM2
PM2
PM1
PM2
PM1
I%
'
=
I%
(1+
)
–1
[
C
/
Y
]
[
P
/
Y
]
{
}
×
100
100
×[
C
/
Y
]
I%
'
=
I%
(1+
)
–1
[
C
/
Y
]
[
P
/
Y
]
{
}
×
100
100
×[
C
/
Y
]
i
=
I%
'
÷
100
i
=
I%
'
÷
100