HP HP12C hp 12c_user's guide_English_E_HDPMBF12E44.pdf - Page 190

Modified Internal Rate of Return, Advance Payments

Page 190 highlights

190 Appendix D: Formulas Used Program for partial year: DPN1 = ⎜⎛ ⎝ L SOYD Y1 SBV ⎠ ⎝12 ⎠ − SAL) DPNj = ⎜⎜⎝⎛ LADJ − j + 2 SOYDLADJ ⎟⎟⎠⎞ ⋅ (SBV − D1 − SAL) for j ≠ 1 where LADJ = L − ⎜⎛ Y1 ⎟⎞ ⎝12 ⎠ Declining-Balance Depreciation Keyboard function: DPNj = RBVj − 1 ⋅ FACT 100L for j = 1, 2, ..., L Program for partial first year: DPN1 = SBV ⋅ FACT 100L ⋅ Y1 12 DPNj = RBVj − 1 ⋅ FACT 100L for j ≠ 1 Modified Internal Rate of Return n = number of compounding periods. NFVP = Net future value of the positive cash flows. NPVN = Net present value of the negative cash flows. ⎡ 1⎤ MIRR = 100 NFVP − NPVN n − 1 Advance Payments A = number of payments made in advance. PMT = PV − FV (1+ i)−n ⎡1− (1+ i)−(n−A) ⎢ ⎢⎣ i + ⎤ A⎥ ⎥⎦ File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 190 of 209 Dimension: 14.8 cm x 21 cm

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190 Appendix D: Formulas Used
File name: hp 12c_user's guide_English_HDPMBF12E44
Page: 190 of 209
Printered Date: 2005/7/29
Dimension: 14.8 cm x 21 cm
Program for partial year:
)
(
12
1
1
SAL
SBV
Y
SOYD
L
DPN
=
)
(
2
1
SAL
D
SBV
SOYD
j
LADJ
DPN
LADJ
j
+
=
for j
1
where
=
12
1
Y
L
LADJ
Declining-Balance Depreciation
Keyboard function:
L
FACT
RBV
DPN
j
j
100
1
=
for
j
= 1, 2, …,
L
Program for partial first year:
12
100
1
1
Y
L
FACT
SBV
DPN
=
L
FACT
RBV
DPN
j
j
100
1
=
for j
1
Modified Internal Rate of Return
n
= number of compounding periods.
NFV
P
= Net future value of the positive cash flows.
NPV
N
= Net present value of the negative cash flows.
=
1
100
1
n
N
P
NPV
NFV
MIRR
Advance Payments
A
= number of payments made in advance.
+
+
+
=
A
i
i
i
FV
PV
PMT
A
n
n
)
(
)
1
(
1
)
1
(