Question

Answer the following questions concerning the choice of depreciation method for an asset that has a...

Answer the following questions concerning the choice of depreciation method for an asset that has a 10-year life, straight line or double declining balance.

Which depreciation method will show the highest amount of income tax expense in the first year of owning the asset?

Which depreciation method will show the higher book value of the asset at the end of the first year?

Which depreciation method would most likely result in a gain if the asset was sold at the end of the third year of ownership?

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Answer #1
Straight Line Depreciation Double Declining method
1) Higher income tax expense as compared to Double declining method in the first year of owning assets.
2) Higher book value at the end of first year
3) Loss arises if assets is sold at the end of third year. Gain arises if assets is sold at the end of third year.
Lowe Depreation means higher income and higher tax.
Higher depreciation means lower net income and lower tax.
For Example
a) Straight Line Method
Cost of Assets $                                                                                3,00,000.00
Salvage Value $                                                                                    30,000.00
Estimated Useful life 10 Years
Depreciation Amount=(Cost-Scrap Value)/Useful life=($300000-$30000)/10 $                                                                                    27,000.00
Year Cost Depreciation Accumulated Depreciation Book Value
01-01-2013 $                                                                                                     3,00,000.00 $               3,00,000.00
31-12-2013 $                                                                                    27,000.00 $                                                  27,000.00 $               2,73,000.00
31-12-2014 $                                                                                    27,000.00 $                                                  54,000.00 $               2,46,000.00
31-12-2015 $                                                                                    27,000.00 $                                                  81,000.00 $               2,19,000.00
31-12-2016 $                                                                                    27,000.00 $                                              1,08,000.00 $               1,92,000.00
31-12-2017 $                                                                                    27,000.00 $                                              1,35,000.00 $               1,65,000.00
31-12-2018 $                                                                                    27,000.00 $                                              1,62,000.00 $               1,38,000.00
31-12-2019 $                                                                                    27,000.00 $                                              1,89,000.00 $               1,11,000.00
31-12-2020 $                                                                                    27,000.00 $                                              2,16,000.00 $                   84,000.00
31-12-2021 $                                                                                    27,000.00 $                                              2,43,000.00 $                   57,000.00
31-12-2022 $                                                                                    27,000.00 $                                              2,70,000.00 $                   30,000.00
$                                                                                2,70,000.00
Double Declining Balance Method
Cost of Assets $                                                                                3,00,000.00
Salvage Value $                                                                                    30,000.00
Estimated Useful life 10 Years
Formula for Double declining rate method
Depreciation Rate=(1/uesful life)*200%
Depreciation Rate= 0.1
Double Declining Rate(.25*200%) 0.2
Double Declining Rate 20.00%
Year Cost Depreciation Rate Depreciation Accumulated Depreciation Book Value
01-01-2013 $                                                                                                     3,00,000.00 $                                  -   $                           3,00,000.00
31-12-2013 20.00% $                                                  60,000.00 $                   60,000.00 $                           2,40,000.00
31-12-2014 20.00% $                                                  48,000.00 $               1,08,000.00 $                           1,92,000.00
31-12-2015 20.00% $                                                  38,400.00 $               1,46,400.00 $                           1,53,600.00
31-12-2016 20.00% $                                                  30,720.00 $               1,77,120.00 $                           1,22,880.00
31-12-2017 20.00% $                                                  24,576.00 $               2,01,696.00 $                               98,304.00
31-12-2018 20.00% $                                                  19,660.80 $               2,21,356.80 $                               78,643.20
31-12-2019 20.00% $                                                  15,728.64 $               2,37,085.44 $                               62,914.56
31-12-2020 20.00% $                                                  12,582.91 $               2,49,668.35 $                               50,331.65
31-12-2021 20.00% $                                                  10,066.33 $               2,59,734.68 $                               40,265.32
31-12-2022 20.00% $                                                  10,265.32 $               2,70,000.00 $                               30,000.00
$                                              2,70,000.00 $                         13,68,938.73
If Assets is sold for $170000 at the end of 3rd year
Book Value under straight Line $                                                                                2,19,000.00
Book Value under Double Declining $                                              1,53,600.00
Sales Value $                                                                                1,70,000.00 $                                              1,70,000.00
Gain/Loss $                                                                                 (49,000.00) $                                                  16,400.00
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