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The initial installed cost for a new piece of equipment is $10,000. After the eq

ID: 2773799 • Letter: T

Question

The initial installed cost for a new piece of equipment is $10,000. After the equipment has been in use for 4 years, it is sold for $7,000. The company that originally owned the equipment employs a straight-line method for determining depreciation costs. If the company had used the MACRS 5-year method for determining depreciation costs, the asset or book value for the piece of equipment at the end of 4 years would have been $1728. The total income tax rate for the company is 35% of all gross earnings. Capital gains taxes amount to 20% of the gain. How much net savings would the company have achieved by using the MACRS method instead of straight-line depreciation method?

Explanation / Answer

Answer: $ 191.2 is net savings would the company have achieved by using the MACRS method instead of straight-line depreciation method

Working notes

We have been provided with the following information

piece of equipment is $10,000.

equipment has been in use for 4 years, it is sold for $7,000.

If the company had used the MACRS 5-year method ,book value forof equipment at the end of 4 years would have been $1728

income tax rate for the company is 35%

Capital gains taxes amount to 20%

Generally MACRS is a depreciation method that is used only for income tax purposes. MACRS follows the half-year convention.you only get one-half year of depreciation in the first year of ownership,regardless of when you purchased the asset during the year.

Depreiciation as per Macrs metod

We will calculate depriciation as per straight line method as follow

The assets is sold at $ 7000

The value of property @ macrs method is 1728 (1152+576)

The value of property @ straight line method is 3000 (2000+1000)

Capital Gain in Macrs Metod

sale price $ 7,000

Book Value $ 1728

Gain $ 5272

Tax @ 20% $ 1054

Capital Gain in Straight Line Metod

sale price $ 7,000

Book Value $ 3000

Gain $ 4000

Tax @ 20% $ 800

Deprciation Tax Shild in both Method

Under Macrs Method

Depriciation Tax Shield is $ 2895.2

Less Capital Gain Tax $ (1054)

Net Gain 1841.2

Under Straight Line Method   

Depriciation Tax Shield is $ 2450

Less Capital Gain Tax $ (800)

Net Gain 1650

Net Saving from Macrs Method Over Straight Line Method

Under Macrs Method $ 1841.2

Less : Under Straight Line $ (1650)

$ 191.2

Year Equipment Rate Amt of Depriciation 1 1000 20 2000 2 1000 32 3200 3 1000 19.2 1920 4 1000 11.52 1152 5 1000 11.52 1152 6 1000 5.76 576