Sum-Of-The-Years-Digits Depreciation; Declining-Balance Depreciation; Modified Internal Rate Of Return - HP 12C Platinum Owner's Handbook Manual

190 Appendix : Formulas Used

Sum-of-the-Years-Digits Depreciation

( ) W (
W + 1 +
SOYD =
------------------------------------------
k
2
where W = integer part of k
F = fractional part of k.
(i.e., for k = 12.25 years, W = 12 and F = 0.25).
Keyboard function:
( )
L j – + 1
⋅ (
DPN =
------------------------ - SBV SAL
j
SOYD
L
Program for partial year:
Y
L
  
1
⋅
DPN =
--------------- - ----- -
1   
SOYD 12
LADJ j – + 2

DPN =
------------------------------- -

j
SOYD
LADJ
Y

where LADJ =
L – ----- -

12

Declining-Balance Depreciation

Keyboard function:
FACT
⋅
DPN =
RBV -------------- -
j
j 1 –
100L
Program for partial first year:
FACT
⋅
DPN =
SBV -------------- -
1
100L
FACT
⋅
DPN =
RBV -------------- -
j
j 1 –
100L

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
)
2F
)
–

⋅ ( )
SBV SAL –


for j ≠ 1
⋅ ( )
SBV D – – SAL

1

1

for j = 1, 2, ..., L
Y
1
⋅
----- -
12
for j ≠ 1