Handbook of Civil Engineering Calculations

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Calculation Procedure:


  1. Compute the rate of depreciation
    Under the double-declining-balance method, depreciation is initially charged on a fixed-
    percentage basis, with 2IN as the rate of depreciation. Thus, rate of depreciation = 2/8 =
    0.25, or 25 percent.

  2. Compute the depreciation charge for each year by the
    fixed-percentage method
    For the first year, depreciation charge = 0.25($20,000) = $5000. Then the book value at
    the end of the first year = $20,000 - $5000 = $15,000. Following this procedure, construct
    Table 1.

  3. Compute the depreciation for the transfer study
    Assume that the transfer in depreciation accounting from the fixed-percentage to the
    straight-line method is made at the end of a particular year. Calculate the annual depreci-
    ation charge D' that applies for the remaining life of the asset.
    For example, at the end of the third year the book value is $8437, and the depreciation
    that remains to be charged during the last 5 years is $7437. Then D' = $7437/5 = $1487.
    Record the values found in this manner in Table 1.

  4. Determine the transfer date
    To establish the transfer date, compare each value of D' with the depreciation charge that
    will occur in the following year if the fixed-percentage method is used. This comparison
    shows that the method should be revised at the end of the fifth year because after that time
    the fixed-percentage method results in a smaller depreciation charge. The depreciation
    charges (Table 1) are thus D 1 = $5000; D 2 = $3750; D 3 = $2813; D 4 = $2109; D 5 = $1582;
    D 6 = D 1 = D 8 = $1249.


CONSTANT-UNIT-USE METHOD


OF DEPRECIATION


A machine cost $38,000 and has a life of 5 years and a salvage value of $800. The pro-
duction output of this machine in units per year is: first year, 2000; second year, 2500;


TABLE 1. Depreciation by the Double-Declining-Balance Method
Depreciation Book value
Year charge, $ at year end, $ D', $
0 ... 20,000
1 5,000 15,000 2,000
2 3,750 11,250 ,708
3 2,813 8,437 ,487
4 2,109 6,328 ,332
5 1,582 4,746 ,249
6 1,187 3,559 ,280
7 890 2,669 ,669
8 667 2,002
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