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docker41 [41]
3 years ago
15

On January 1, Year 1 Missouri Co. purchased a truck that cost $49,000. The truck had an expected useful life of 10 years and a $

5,000 salvage value. Missouri uses the double declining-balance method. What is the amount of depreciation expense recognized in Year 2?
Business
1 answer:
serg [7]3 years ago
8 0

Answer:

The amount of depreciation expense recognized in Year 2= $7,800.

Explanation:

<u>Determine the depreciation base</u>

The depreciation base = Acquisition cost - Residual/Salvage value.

The depreciation base = 49,000 - 5,000

The depreciation base = $44,000.

<u>Determining the depreciation rate</u>

The depreciation rate = depreciation base / Useful life

The depreciation rate = 44,000/10

The depreciation rate = $ 4,400.

<u>To determine depreciation % rate </u>

Depreciation  % rate = (The depreciation rate  / depreciation base) × 100

Depreciation  % rate = (4,400 / 44,000) × 100

Depreciation % rate = 10 %

But since Missouri Co. uses double declining balance method of depreciation, the correct depreciation % rate is 10 × 2 = 20%

<u>Determining the depreciation expense for year 2</u>

Year 2 depreciation expense is computed as follows:

(Acquisition cost - year 1 depreciation expense) × Depreciation % rate

Depreciation expense for year 2 is computed as:

Acquisition cost × Depreciation % rate = 49,000 × 20%

Year 1 depreciation expense = $9,800.

Therefore year 2 depreciation expense = (49,000  - 9,800.) × 20%

Therefore year 2 depreciation expense = $ 7,800.

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Answer:

Present Value= $74,018.97

Explanation:

Giving the following information:

The machine will provide $15,000 annual savings for 12 years and can be sold for $48,000 at the end of the period.

Interest rate= 15%

<u>To determine the present value of the savings, first, we need to determine the future value at the rate provided.</u>

We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

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FV= {12,000*[(1.15^12)-1]}/ 0.15

FV= 348,020 + 48,000= $396,020

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 396,020/1.15^12= $74,018.97

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