George bought a piece of equipment for $30,000. The equipment has a useful life of 4 years and a salvage value of $2,000 at the end of its useful life. Assume that the annual interest is 9%.
3. Calculate the book value at the end of year 3, using the DDB depreciation method.
a. $2,800
b. $3,250
c. $3,750
d. $4,100
Solution-
The correct option is C. $3750
Reason-
Depreciable Base = Purchase Price – Salvage Value
= 30000 - 2000
= $28000
Depreciation Expense = Depreciable Base / Useful Life
= $28000 / 4
= $7000
Straight-line Depreciation Rate = Depreciation Expense / Depreciable Base x 100
= 7000 / 28000 x 100
= 25%
Double-declining Depreciation Rate = Straight-line Depreciation Rate x 2
= 25% x 2
= 50%
1st year Depericiation
$30000 x 50% = $15000
2nd year Depericiation
Book value = $30000 - $15000 = $15000
$15000 x 50% = $7500
3r year Depericiation
Book value = $30000 - $15000 - $7500 = $7500
$7500 x 50% = $3750
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