Project Economic Analysis 45
2.2.1.2 Declining-Balance
Method
D
sv
c
t
1
1
4
.
(2.2)
Depreciation rate per year
1
10000
50000
1
5
.
2.2.1.3 Sum-of-the-Year-Digits
D
t
= (
y/
SYD)(
C–
SV),
(2.3)
where
Y equals the number of years remaining in depreciation and
SYD
equals the sum of the year digits.
Table 2.3 Declining–balance method.
Book value at the end
of the year
Depreciation value
per year
Year
50000
0
35000
50000 × 0.3 = 15000
1
24500
35000 × 0.3 = 10500
2
17150
24500 × 0.3 = 7350
3
12000
17150 × 0.3 = 5150
4
8400
12000 × 0.3 = 3600
5
Table 2.2 Straight-line method.
Book value at the end
of the year
Depreciation value
per year
Year
50000
8000
0
42000
8000
1
34000
8000
2
26000
8000
3
18000
8000
4
10000
8000
5
46 Project Management in the Oil and Gas Industry
2.2.1.4 Sinking-Fund
Method
D
t
= (
C–
SV)
F
(2.4)
where
F equals the factor for many values at five years for an interest rate
assuming seven percent.
First year = (50000 – 10000)(0.1774) = 7069.
Second Year = 7096 + 0.06(7096) = 7521.8.
2.2.1.5 Service-Out
Method
This method depends on the time period
in which the equipment
operates, for example, drilling equipment or digging tunnels where the
rate of depreciation is associated with use.
Assume that the cost of the
equipment is around $12,0000 and the value of the equipment when sold
at the end of the project, which is at the dig about 15,0000 meters, is
$6000.
In this case, we calculate the depreciation rate from the following
equation:
Depreciation rate = (120000–6000)/150000 = 0.76 $/m.
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