Question

In: Economics

A large profitable corporation purchased a small jet plane for use by its executives.

 

A large profitable corporation purchased a small jet plane for use by its executives. The plane cost $3,500,000. It has a depreciable life of seven years and $0 salvage value. Develop the complete depreciation schedule for the plane showing year-by-year depreciation charges and book values, using:

(c) the DDB method with switch to SL,

(d) MACRS depreciation.

Solutions

Expert Solution

(c)

Swtching to Straight line method (SLM) is done in the year when DDB Annual depreciation is less than SLM Annual depreciation.

SLM Annual depreciation ($) = Cost / Useful life = 3,500,000 / 7 = 500,000

SLM Depreciation rate = 1 / Useful life = 1/7

DDB Depreciation rate = 2 x SLM rate = 2/7

Depreciation schedule is as follows.

(Values in $)
YEAR Beginning Book Value DB Depreciation SL Depreciation Switch? Annual Depreciation Ending Book Value
1 35,00,000 10,00,000 5,00,000 NO 10,00,000 25,00,000
2 25,00,000 7,14,286 5,00,000 NO 7,14,286 17,85,714
3 17,85,714 5,10,204 5,00,000 YES 5,00,000 12,85,714
4 12,85,714 3,67,347 5,00,000 YES 5,00,000 7,85,714
5 7,85,714 2,24,490 5,00,000 YES 5,00,000 2,85,714
6 2,85,714 81,633 5,00,000 YES 5,00,000 -2,14,286

(d) MACRS depreciation schedule (assuming 7-year property class) is as follows.

Year Depreciation Base ($) Depreciation rate (%) Annual Depreciation ($) Ending Book Value ($)
1 35,00,000 14.29 5,00,150 29,99,850
2 35,00,000 24.49 8,57,150 21,42,700
3 35,00,000 17.49 6,12,150 15,30,550
4 35,00,000 12.49 4,37,150 10,93,400
5 35,00,000 8.93 3,12,550 7,80,850
6 35,00,000 8.92 3,12,200 4,68,650
7 35,00,000 8.93 3,12,550 1,56,100
8 35,00,000 4.46 1,56,100 0

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