Casio FC-200V User Guide - Page 61

Conversion Mode

Page 61 highlights

A Calculation Formulas a: Interest portion of payment PM1 (INT) INTPM1 = I BALPM1-1 × i I × (PMT sign) b: Principal portion of payment PM1 (PRN) PRNPM1 = PMT + BALPM1-1 × i c: Principal balance upon completion of payment PM2 (BAL) BALPM2 = BALPM2-1 + PRNPM2 d: Total principal paid from payment PM1 to payment PM2 (ΣPRN) ΣPM2 PRN = PRNPM1 + PRNPM1+1 + ... + PRNPM2 PM1 e: Total interest paid from payment PM1 to payment PM2 (ΣINT) • a + b = one repayment (PMT) ΣPM2 INT = INTPM1 + INTPM1+1 + ... + INTPM2 PM1 BAL0 = PV Payment: End (Setup Screen) INT1 = 0, PRN1 = PMT ... Payment: Begin (Setup Screen) 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 annual payments is different from the number of annual compoundings 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 k Conversion Mode • The Conversion (CNVR) Mode lets you convert between the nominal interest rate (APR) and effective interest rate (EFF). E-59

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E-59
A
Calculation Formulas
a
: Interest portion of payment PM1 (INT)
INT
PM1
=
I
BAL
PM1–1
×
i
I
×
(
PMT
sign
)
b
: Principal portion of payment PM1 (PRN)
PRN
PM1
=
PMT
+
BAL
PM1–1
×
i
c
: Principal balance upon completion of payment PM2
(BAL)
BAL
PM2
=
BAL
PM2–1
+
PRN
PM2
d
:
Total principal paid from payment PM1 to payment PM2
(
Σ
PRN)
Σ
PRN
=
PRN
PM1
+
PRN
PM1+1
+ … +
PRN
PM2
PM2
PM1
e
:
Total interest paid from payment PM1 to payment PM2
(
Σ
INT)
a
+
b
= one repayment (PMT)
Σ
INT
=
INT
PM1
+
INT
PM1+1
+ … +
INT
PM2
PM2
PM1
BAL
0
= PV
.......................
Payment: End
(Setup Screen)
INT
1
= 0
,
PRN
1
= PMT
... Payment: Begin
(Setup Screen)
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 annual payments is different
from the number of annual compoundings 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.
k
Conversion Mode
• The Conversion (CNVR) Mode lets you convert between
the nominal interest rate (APR) and effective interest rate
(EFF).
I%' =
I%
(1+
)
–1
[
C
/
Y
]
[
P
/
Y
]
100
× [
C
/
Y
]
×
100
i = I%'
÷
100