Mantralaya plans to manufacture swords for the next 4 years.  It is  classified as a 5-year MACRS (Depreciation percentages are 20.00, 32.00, 19.20, 11.52. 11.52 and 5.76 percent) and the machinery costs  $215,000.  At the end of 4 years, it is sold for $45,000. Mantralaya however, plans to keep the machinery for a different project in another state.  What is the ATSV for this project if the tax rate is 39 percent?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Mantralaya plans to manufacture swords for the next 4 years.  It is  classified as a 5-year MACRS (Depreciation percentages are 20.00, 32.00, 19.20, 11.52. 11.52 and 5.76 percent) and the machinery costs  $215,000.  At the end of 4 years, it is sold for $45,000. Mantralaya however, plans to keep the machinery for a different project in another state.  What is the ATSV for this project if the tax rate is 39 percent?

Expert Solution
Step 1 Concept

After Tax Salvage Value : There are three case -

1. If book value is zero

2. If book value is more than the salvage value

3. If book value is less than the salvage value

Here point number 3 is related to this question

After tax salvage value = Salvage value - [ (salvage value - book value ) * tax rate ]

Step 2 Calculation of after tax salvage value

Book value at the end of four year = $ 215000 [ 100 - (20+32+19.20 +11.52)]

                                                        = $ 215000 * [ 100 - 82.72 ]

                                                        = $ 215000 * 17.28 % 

                                                        = $ 37152 

After tax salvage value = Salvage value - [ (salvage value - book value ) * tax rate ]

                                     = $ 45000 - [ ( $ 45000 - $ 37152) * 39% ]

                                     = $ 45000 - [ 7848 * 39%]

                                     = $ 45000 - $ 3060.72

                                     = $ 41939.28

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Section 179 Deduction and Modified Accelerated Cost Recovery System (MACRS) Depreciation
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