Question

A machine cost $1,238,000 on April 1, 2020. Its estimated salvage value is $139,200 and its expected life is 4 years. Calculate the depreciation expense by straight-line for 2020. (Round answer to 0 decimal places, e.g. 5,275.) Depreciation expense $ Calculate the depreciation expense by double-declining balance for 2021. (Round answer to 0 decimal places, e.g. 5,275.) Depreciation expense $ Calculate the depreciation expense by sum-of-the-years'-digits for 2021. (Round answer to 0 decimal places, e.g. 5,275.) Depreciation expense $ Which method would result in the smallest income amount for 2021

Answer 1

Answer:

• The depreciation expense by straight-line for 2020: $206,025
• The depreciation expense by double-declining balance for 2021: $619,000
• The depreciation expense by sum-of-the-years'-digits for 2021: $329,640

Explanation:

Under straight-line method, depreciation expense is (cost - residual value) / No of years = ($1,238,000 - $139,200) / 4 years = $274,700 yearly depreciation expense.

Depreciation expense by straight-line for 2020 will be (April 1, 2020 - Dec. 31, 2020):  $274,700 / 12 x 9 = $206,025.

The double-declining method is otherwise known as the reducing balance method and is given by the formula below:  

Double declining method = 2 X SLDP X BV

SLDP = straight-line depreciation percentage

BV = Book value

SLDP is 100%/4 years = 25%, then 25% multiplied by 2 to give 50% or simply 1/2

Depreciation expense under double-declining method at December 31, 2021: $1,238,000 x 1/2 = $619,000

Under the sum-of-the-years'-digits, the depreciation expense for 2021 will be calculated as follows: 3 / 10 = 30%.

10 was derived by 4 + 3 + 2 + 1 for Year 2020, 2021, etc

($1,238,000 - $139,200) x 30% = $329,640