Question

Apex Fitness Club uses straight-line depreciation for a machine costing $23,860, with an estimated four-year life and a $2,400 salvage value. At the beginning of the third year, Apex determines that the machine has three more years of remaining useful life, after which it will have an estimated $2,000 salvage value. Required: 1. Compute the machine’s book value at the end of its second year. 2. Compute the amount of depreciation for each of the final three years given the revised estimates.

Answer 1

Answer:

1. Book value at end of year 2 = $13,130

2. Depreciation from year 3 for last 3 years = $3,710 each year, that is $11,130 for three years.

Explanation:

As for the provided details, we have:

Cost of machinery = $23,860

Expected life = 4 years

Salvage value = $2,400

Straight line depreciation = $\frac{23,860 - 2,400}{4} = 5,365$

Under straight line method depreciation remains constant for life of asset.

Book value at end of year 2 = $23,860 - ($5,365 $\times$ 2) = $13,130

Thereafter in the beginning of year 3 the estimate is made to realize that the total remaining life expected is 3 years, with salvage value $2,000

Thus, depreciation from year 3 = $\frac{13,130 - 2,000}{3} = 3,710$

Therefore, depreciation from year 3 to year 5 = $3,710 each year.

Total depreciation of last 3 years = $3,710 $\times$ 3 = $11,130