116
BA II PLUS™ Calculator
Formulas
Formulas used internally by your calculator are included here
for your information.
Time Value of Money
[
]
i
e
y
x
=
−
×
+
(
(
))
ln
1
1
where:
PMT
ƒ
0
y
= C/Y
P
P/Y
x
= (.01
Q
I/Y)
P
C/Y
C/Y
= compounding periods per year
P/Y
= payment periods per year
I/Y
= interest rate per year
i
FV
PV
N
=
÷
−
−
÷
(
)
(
)
1
1
where:
PMT
= 0
The iteration used to compute
i
:
0
1
1
1
=
+
×
− +
+
× +
−
−
PV
PMT
G
i
i
FV
i
i
N
N
(
)
(
)
I/Y
= 100
Q
C/Y
Q
[
]
e
y
x
(
(
))
×
+
−
ln
1
1
where:
x
=
i
y
=
P/Y
P
C/Y
G
i
= 1 +
i
Q
k
where:
k
= 0 for end-of-period payments
k
= 1 for beginning-of-period payments
N
PMT
G
FV
i
PMT
G
PV
i
i
i
i
=
×
−
×
×
×
+
+
ln
ln
(
)
1
where:
i
ƒ
0
N
=
L
(
PV
+
FV
)
P
PMT
where:
i
= 0
Содержание BA II Plus
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