An x-ray machine at a dental offi ce is MACRS 5-year property. The x-ray machine costs $6,000 and has an expected useful life of 8 years. The salvage value at the end of 8 years is expected to be $500. Assuming MACRS depreciation, what is the book value at the end of the third year?

The correct answer is $2,637.31.

Explanation:

According to the scenario, the computation of the given data are as follows:

Cost of machine = $6,000

According to MACRs table depreciation for first 3 years are as follows:

Depreciation for 1st year = 20%, for 2nd year = 32% and for 3rd year = 19.2%

So, Cost of machine after 1st year = $6,000 - 20% × $6,000 = $6,000 - $1,200

= $4,800

Cost of machine after 2nd year = $4,800 - 32% × $4,800 = $4,800 - $1,536

=  $3,264

Now, Cost of machine after 3rd year = $3,264 - 19.2% × $3,264

= $3,264 - $626.688 = $2,637.312

So, the book value at the end of three years = $2,637.31

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