using the macrs rates from the following table, what is the book value of a $4,000 computer after 2…

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

using the macrs rates from the following table, what is the book value of a $4,000 computer after 2 years?\n| year | macrs rate |\n| ---- | ---- |\n| 1 | 20.0% |\n| 2 | 32.0% |\n| 3 | 19.2% |\n| 4 | 11.52% |\n| 5 | 11.52% |\n| 6 | 5.76% |\nbook value = $?\nround 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 $C = 4000$, and the MACRS rate for year 1 is $r_1=0.20$. So the depreciation in year 1, $D_1 = C\times r_1=4000\times0.20 = 800$.

Step2: Calculate book - value after year 1

The book - value after year 1, $BV_1=C - D_1=4000 - 800=3200$.

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, $D_2=BV_1\times r_2=3200\times0.32 = 1024$.

Step4: Calculate book - value after year 2

The book - value after year 2, $BV_2=BV_1 - D_2=3200-1024 = 2176$.

Answer:

$2176.00$