Question

On January 1, 2021, the Allegheny Corporation purchased equipment for $295,000. The estimated service life of the equipment is 10 years and the estimated residual value is $20,000. The equipment is expected to produce 280,000 units during its life.
Required:
Calculate depreciation for 2021 and 2022 using each of the following methods.

a. Sum-of-the-years'-digits.
b. One hundred fifty percent declining balance.

Answer 1

Answer:

a.

2021  =  $50,000

2022 = $45,000

b.

2021  = $275,000

2022 = $0

Explanation:

a. Sum-of-the-years'-digits.

Sum of digits for the 10 years will be :

Year 1      =      10

Year 2     =       9

Year 3     =       8

Year 4     =       7

Year 5     =       6

Year 6     =       5

Year 7     =       4

Year 8     =       3

Year 9     =       2

Year 10   =         1

Sum of Digits = 55

therefore,

2021 depreciation = 10/55 x ($295,000 - $20,000)

                               = $50,000

2022 depreciation = 9/55 x ($295,000 - $20,000)

                               = $45,000

b. One hundred fifty percent declining balance.

2021 depreciation = 150% x ($295,000 - $20,000)

                               = $412,500

Can not be charged above book value of $275,000

2022 depreciation = 150% x ($295,000 - $20,000- $412,500)

                               = $0