In: Accounting
On August 3, Cinco Construction purchased special-purpose equipment at a cost of $1,938,400. The useful life of the equipment was estimated to be eight years, with an estimated residual value of $83,040.
a. Compute the depreciation expense to be recognized each calendar year for financial reporting purposes under the straight-line depreciation method (half-year convention).
b. Compute the depreciation expense to be recognized each calendar year for financial reporting purposes under the 200 percent declining-balance method (half-year convention) with a switch to straight-line when it will maximize depreciation expense.
c. Which of these two depreciation methods (straight-line or double-declining-balance) results in the highest net income for financial reporting purposes during the first two years of the equipment’s use?
a. Straight-line depreciation method( half year convention):
Annual depreciation = ( Cost - Residual Value) / Estimated Useful Life = $ ( 1,938,400 - 83,040 ) / 8 = $ 231,920.
Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Depreciation Expense | 115,960 | 231,920 | 231,920 | 231,920 | 231,920 | 231,920 | 231,920 | 231,920 | 115,960 |
b. 200 percent declining balance method ( half-year convention) :
Depreciation rate under straight-line = 1/8 = 0.125
Depreciation rate under 200 percent double declining method : 0.125 x 2 = 0.25
Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Computation of depreciation expense | 1,938,400 x 0.25 x 1/2 | ( 1,938,400 - 242,300) x 0.25 | ( 1,938,400 - 666,325) x 0.25 | ( 1,938,400 - 984,344) x 0.25 | (1,938,400 - 1,222,858) x 0.25 | (1,938,400 - 1,401,743) x 0.25 | ( 1,938,400 - 83,040- 1,535,907) x 1/3 | ||
Depreciation expense | 242,300 | 424,025 | 318,019 | 238,514 | 178,885 | 134,165 | 106,484 | 106,484 | 106,484 |
c. The straight-line method with lower depreciation expense during the first few years, will result in the highest net income for financial reporting purposes in the first two years.