Question

An automated assembly robot that cost $400,000 has a depreciable life of 5 years with a $100,000 salvage value. The MACRS depreciation rates for years 1, 2, and 3 are 20.00%, 32.00%, and 19.20%, respectively. What is the book value at the end of year 3

Answer 1

book value at the end of year 3 = $115,200

Step-by-step explanation:

`\left[\begin{array}{ccccc}$Year&$Beginning&$Dep-Expense&$Acc. \: Dep&$Ending\\0&-&-&-&400,000\\1&400,000&80,000&80,000&320,000\\2&320,000&128,000&208,000&192,000\\3&192,000&76,800&284,800&115,200\\\end{array}\right]`

Year 1 Depreciation expense

400,000 x 20% = 80,000

Year 2 Depreciation expense

400,000 x 32% =128,000

Year 3 Depreciation expense

400,000 x 19.2% = 76,800

Book value = carrying value - depreciation for the year

or

purchase - accumulated depreciation