Question

Richardses' Tree​ Farm, Inc. has just purchased a new aerial tree trimmer for ​$88,000. Calculate the...

Richardses' Tree​ Farm, Inc. has just purchased a new aerial tree trimmer for ​$88,000. Calculate the depreciation schedule using a​ seven-year life​ (for the property class category of a​ single-purpose agricultural and horticultural structure from Table​ 10.3) for both​ straight-line depreciation and​ MACRS. Use the​ half-year convention for both methods. Compare the depreciation schedules before and after taxes using a 40​% tax rate.

  Year

​3-Year

​5-Year

​7-Year

​10-Year

    1

​33.33%

​20.00%

​14.29%

​10.00%

    2

​44.45%

​32.00%

​24.49%

​18.00%

    3

​14.81%

​19.20%

​17.49%

​14.40%

    4

​ 7.41%

​11.52%

​12.49%

​11.52%

    5

​11.52%

​8.93%

​9.22%

    6

​ 5.76%

​8.93%

​7.37%

    7

​8.93%

​6.55%

    8

​4.45%

​6.55%

    9

​6.55%

  10

​6.55%

  11

​3.28%

a) Using a​ seven-year life,​ straight-line depreciation, and the​ half-year convention for the first and last​ years, what is the annual depreciation of the​ trimmer?

b) Using a​ seven-year life,​ straight-line depreciation, and the​ half-year convention for the first and last​ years, what is the annual depreciation for the first and last years?

c) Using a​ seven-year life and MACRS depreciation, what is the annual depreciation of the trimmer for year 1?

d) What is the annual depreciation of the trimmer for year 1? year 2? year 3? year 4? year 5? year 6? year 7? year 8?

Homework Answers

Answer #1

a. For SL depreciation, 1st and last year depreciation (using half-year convention) = 88000/7/2 = 6286

For years 2-7, depreciation = 88000/7 = 12571

$88,000 1 2 3 4 5 6 7 8
Depreciation 6286 12571 12571 12571 12571 12571 12571 6286
Accumulated Depreciation 6286 18857 31429 44000 56571 69143 81714 88000

b. Anual depreciation for first ad last years = 6286

c. Using MACRS, first year deprecation = 88000*14.29% = 12575

Year 2 = 88000*24.49% = 21551

Year 3 = 88000 * 17.49% = 15391 and so on

$88,000 1 2 3 4 5 6 7 8
MACRS 14.29% 24.49% 17.49% 12.49% 8.93% 8.93% 8.93% 4.45%
Depreciation 12575 21551 15391 10991 7858 7858 7858 3916
Accumulated Depreciation 12575 34126 49518 60509 68367 76226 84084 88000
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