Question

Waterway Company acquired a plant asset at the beginning of Year 1. The asset has an estimated service life of 5 years. An employee has prepared depreciation schedules for this asset using three different methods to compare the results of using one method with the results of using other methods. You are to assume that the following schedules have been correctly prepared for this asset using (1) the straight-line method, (2) the sum-of-the-years'-digits method, and (3) the double-declining-balance method.
Year
Straight-Line
Sum-of-the-
Years'-Digits
Double-Declining-
Balance
1 $12,420 $20,700 $27,600
2 12,420 16,560 16,560
3 12,420 12,420 9,936
4 12,420 8,280 5,962
5 12,420 4,140 2,042
Total $62,100 $62,100 $62,100

Answer the following questions.
What is the cost of the asset being depreciated?

Cost of asset $

Answer 1

Answer:

$69,000

Explanation:

The double-declining method uses twice the rate of the straight-line depreciation method.  

In this case, we need to determine the depreciation rate under the straight-line method. The asset has a useful life of 5 years.

the depreciation rate = 1/5 x 100

=0.2 x 100

=20%

The Depreciation rate for the double-declining method is 40%. The straight-line method considers salvage value at the beginning, but double-declining depreciates until the salvage value.

In the first year under the double-declining method, the depreciation amount was $27,600.

It means 40% of the asset cost is $27,600.

The asset cost is 100%

40%=$27,600

100% = 27,600/40 x 100

=$690 x 100

=$69,000

Asset cost = $69,000