DPN
RBV
=
⋅
j
j
1
−
Modified Internal Rate of Return
n
= number of compounding periods.
NFV
= Net future value of the positive cash flows.
P
NPV
= Net present value of the negative cash flows.
N
⎡
⎛
NFV
⎢
⎜
MIRR
100
=
⎢
⎜
−
⎝
⎢
⎣
Advance Payments
A
= number of payments made in advance.
PV
FV
−
PMT
=
⎡
1
1 (
−
+
⎢
i
⎢
⎣
Interest Rate Conversions
C
= number of compounding periods per year.
EFF
= the effective annual interest rate as a decimal.
NOM
= the nominal annual interest rate as a decimal.
Finite Compounding
NOM
⎛
EFF
1
=
+
⎜
C
⎝
Continuous Compounding
NOM
EFF
(
e
) 1
=
−
FACT
for j ≠ 1
100
L
1
⎤
⎞
n
⎥
P
⎟
1
−
⎥
⎟
NPV
⎠
N
⎥
⎦
n
−
1 (
i
)
+
−
(
n
−
A
)
⎤
i
)
A
+
⎥
⎥
⎦
C
⎞
1
−
⎟
⎠
Appendix E: Formulas Used
261