Answer:
The correct option <u>b. $2,567</u><u>.</u>
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A company bought a piece of equipment for $49,200 and expects to use it for eight years. The company then plans to sell it for $4,000. The company has already recorded depreciation of $42,632.60. Using the double-declining-balance method, what is the company's annual depreciation expense for the upcoming year? (Round your answer to the nearest whole dollar amount.)
a. $11,300.
b. $2,567.
c. $19,200.
d. $1,642.
The explanation to the answer is now given as follows:
Note: See the attached excel file for the calculation of the annual depreciation expenses.
Double declining depreciation method is an accelerated depreciation technique due to the fact the depreciation expenses are charged faster under it than under straight-line depreciation method.
The depreciation of double declining method is calculated by by multiplying the rate of straight-line depreciation method by 2.
From the question, the already recorded depreciation of $42,632.60 is the accumulated depreciation expenses for the 7th year.
Since the upcoming year is the 8th year which is the last year, the depreciation expense for it can be calculated as by adjusting for the residual value of $4,000 follows:
Equipment cost = $49,200
Accumulated Depreciation = $42,632.60
Residual value = $4,000
Estimated useful life = 8 years
Therefore, we have:
Straight line method depreciation rate = 1 / Estimated useful life = 1 / 8 = 0.125, or 12.50%
Double declining depreciation rate = Straight line method depreciation rate * 2 = 12.50% * 2 = 25%
Beginning book value of the equipment in the upcoming year or in the 8th year = Equipment cost - Accumulated Depreciation = $49,200 - $42,632.60 = $6,567.40
Annual depreciation expense for the upcoming year or for the 8th year = Beginning book value of the equipment - Residual value = $6,567.40 - $4,000 = $2,567
Therefore, the correct option <u>b. $2,567</u><u>.</u>
