0
PV PMT G
i
1
1
i
+
(
)
N
–
–
i
------------------------------
FV
1
i
+
(
)
N
–
×
+
×
+
=
I
%
100
C Y
e
y
x
1
+
(
)
ln
×
(
)
1
–
[
]
×
⁄
×
=
G
i
1
i k
×
+
=
N
PMT G
i
FV i
×
–
×
PMT G
i
PV i
×
+
×
----------------------------------------------
⎝
⎠
⎛
⎞
ln
1
i
+
(
)
ln
----------------------------------------------------------
=
N
–
PV FV
+
(
)
PMT
÷
=
PMT
–
i
G
i
-----
PV
PV FV
+
1
i
+
(
)
N
1
–
----------------------------
+
×
=
PMT
–
PV FV
+
(
)
N
÷
=
PV
PMT G
i
×
i
------------------------
FV
–
1
1
i
+
(
)
N
-------------------
PMT G
i
×
i
------------------------
–
×
=
PV
–
FV PMT N
×
+
(
)
=
FV
PMT G
i
×
i
------------------------
1
i
+
(
)
N
–
PV
PMT G
i
×
i
------------------------
+
⎝
⎠
⎛
⎞
×
=
Appendix B: Reference Information
388
The iteration used to compute
i
:
where:
i
ƒ
0
where:
i =
0
where:
i
ƒ
0
where:
i =
0
where:
i
ƒ
0
where:
i =
0
where:
x
=
i
y
=
P/Y
÷
C/Y
where:
k
=
0
for end-of-period payments
k
=
1
for beginning-of-period payments
