A plant manager for a fiber optics cable manufac­turing company knows that the remaining capital investment in several types of equipment is more closely approximated when the equipment is de­preciated linearly by the SL method compared to a rapid write-off method like MACRS. Therefore, he keeps two sets of books, one for tax purposes (MACRS) and one for equipment-management purposes (SL). For an asset that has a first cost of $80,000, a depreciable life of 5 years, and a sal­vage value equal to 25% of the first cost, determine the difference in the book values shown in the two sets of books at the end of year 3. Which method has the lower book value and by how much?

What will be an ideal response?


SL: D3 = [80,000 - 0.25(80,000)]/5
= $12,000 per year

BV3 = 80,000 – 3(12,000)
= $44,000

MACRS: BV3 = 80,000 – 80,000(0.20 + 0.32 + 0.192)
= $23,040

Difference = 44,000 – 23,040 = $20,960

MACRS has a lower BV after 3 years by $20,960

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