On October 1, 2022, Ivanhoe Company places a new asset into service. The cost of the asset is $87500 with an estimated 5-year life and $24500 salvage value at the end of its useful life. What is the depreciation expense for 2022 if Ivanhoe Company uses the straight-line method of depreciation? $4375. $8750. $17500. $3150.

Respuesta :

Answer:

$3150

Explanation:

Given:

Cost of the asset purchased = $87500 (on 1st October. 2022)

Salvage value at the end of its useful life = $24500

Useful life estimated = 5 years

Question asked:

What is the depreciation expense for 2022 if Ivanhoe Company uses the straight-line method of depreciation?

Solution:

As we know:

[tex]Straight-Line\ Depreciation\ Expense=\frac{Cost\ - Salvage\ Value}{Useful\ Life\ of\ the\ Asset}[/tex]

                                                               [tex]=\frac{87500-24500}{5} =\frac{63000}{5} =12600[/tex]

Depreciation expenses per year = $12600

But we have to find depreciation expenses for 2022 for:-

From 1st October, 2022 to 31st December, 2022 = 3 months.

Straight-Line Depreciation Expense for Partial Year =

[tex]D\times\frac{N}{12} \\\\ D=Depreciation\ expense\ for\ a\ complete\ year.\\N= Number\ of\ months\ during\ which\ the\ fixed\ asset\ was\ available\ for\ use[/tex]

Depreciation Expense for 3 months = [tex]12600\times\frac{3}{12} =\frac{37800}{12} =3150[/tex]

Therefore, the depreciation expense for 2022 if Ivanhoe Company uses the straight-line method of depreciation is $3150.