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

using the macrs rates from the following table, what is the book value of a $4,000 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 $4,000 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 initial value times the year - 1 MACRS rate. The initial value of the computer is $V_0 = 4000$, and the year - 1 MACRS rate $r_1=0.20$. So the depreciation in year 1, $D_1 = V_0\times r_1=4000\times0.20 = 800$.

Step2: Calculate book value after year 1

The book value after year 1, $V_1=V_0 - D_1=4000 - 800=3200$.

Step3: Calculate depreciation in year 2

The depreciation in year 2 is the book value after year 1 times the year - 2 MACRS rate. The year - 2 MACRS rate $r_2 = 0.32$. So the depreciation in year 2, $D_2=V_1\times r_2=3200\times0.32 = 1024$.

Step4: Calculate book value after year 2

The book value after year 2, $V_2=V_1 - D_2=3200-1024 = 2176$.

Answer:

2176.00