In: Accounting
Depreciation by Three Methods; Partial Years Perdue Company purchased equipment on April 1 for $49,950. The equipment was expected to have a useful life of three years, or 5,400 operating hours, and a residual value of $1,350. The equipment was used for 1,000 hours during Year 1, 1,900 hours in Year 2, 1,600 hours in Year 3, and 900 hours in Year 4. Required: Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by (a) the straight-line method, (b) units-of-activity method, and (c) the double-declining-balance method. Note: FOR DECLINING BALANCE ONLY, round the multiplier to four decimal places. Then round the answer for each year to the nearest whole dollar. a. Straight-line method Year Amount Year 1 $ Year 2 $ Year 3 $ Year 4 $ b. Units-of-activity method Year Amount Year 1 $ Year 2 $ Year 3 $ Year 4 $ c. Double-declining-balance method Year Amount Year 1 $ Year 2 $ Year 3 $ Year 4 $
a)
Straight line Method | |
Cost of Equipment | $ 49,950 |
Less: salvage value | $ 1,350 |
Depreciable value | $ 48,600 |
Life of Equipment | 3 Years |
Depreciation ($48,600 / 3) | $ 16,200 |
Number of months used in 1st year | 3 Months |
Depreciation expense for 1st year ($16,200/12*9) | $ 12,150 |
Depreciation expense for 2nd year | $ 16,200 |
Depreciation expense for 3rd year | $ 16,200 |
Depreciation expense for 4th year ($16,200/12*3) | $ 4,050 |
b)
Depreciation under DDB Method | |||
Year - a | Net Book value, beginning of year - b | Double declained depreciation - c = b/Life of assets*2 | Net book value, End of the year - d = b-c |
Year 1 | $ 49,950 | $49,950/3*2*9/12 = $24,975 | $ 24,975 |
Year 2 | $ 24,975 | $ 16,650 | $ 8,325 |
Year 3 | $ 8,325 | $ 5,550 | $ 2,775 |
Year 4 | $ 2,775 | $ 1,425 | $ 1,350 |
c)
Depreciation under Activity based Method | |||||
Year - a | Depreciable value ($49,950-$1,350) | Number of hours used - c | Depreciation expense - d = b/5,400*c | Accumulated depreciation | Book value |
Year 1 | $ 48,600 | 1,000 | $ 9,000 | $ 9,000 | $ 240,000 |
Year 2 | $ 48,600 | 1,900 | $ 17,100 | $ 26,100 | $ 222,900 |
Year 3 | $ 48,600 | 1,600 | $ 14,400 | $ 40,500 | $ 208,500 |
Year 4 | $ 48,600 | 900 | $ 8,100 | $ 48,600 | $ 200,400 |
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