using the macrs rates from the following table, what is the book value of a $3,000 computer after 2 years…

using the macrs rates from the following table, what is the book value of a $3,000 computer after 2 years? year macrs rate 1 20.0% 2 32.0% 3 19.2% 4 11.52% 5 11.52% 6 5.76% book value = $? round to the nearest cent.

using the macrs rates from the following table, what is the book value of a $3,000 computer after 2 years? year macrs rate 1 20.0% 2 32.0% 3 19.2% 4 11.52% 5 11.52% 6 5.76% book value = $? round to the nearest cent.

Answer

Explanation:

Step1: Calculate depreciation in year 1

The depreciation in year 1 is the cost of the computer times the MACRS rate for year 1. The cost of the computer is $C = 3000$, and the MACRS rate for year 1 is $r_1=0.20$. So the depreciation in year 1, $D_1 = C\times r_1=3000\times0.20 = 600$.

Step2: Calculate book - value after year 1

The book - value after year 1, $BV_1=C - D_1=3000 - 600=2400$.

Step3: Calculate depreciation in year 2

The depreciation in year 2 is the book - value after year 1 times the MACRS rate for year 2. The MACRS rate for year 2 is $r_2 = 0.32$. So the depreciation in year 2, $D_2=BV_1\times r_2=2400\times0.32 = 768$.

Step4: Calculate book - value after year 2

The book - value after year 2, $BV_2=BV_1 - D_2=2400-768 = 1632$.

Answer:

$1632.00$