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Kristin is evaluating a capital budgeting project that should last for 4 years.

ID: 2716058 • Letter: K

Question

Kristin is evaluating a capital budgeting project that should last for 4 years. The project requires $800,000 of equipment. She is unsure what depreciation method to use in her analysis, striaght-line or the 3-year MACRS accelerated method. Under the striaght-line depreciation, the cost of equipment would be depreciated evenly over its 4-year life (ignore the half-year convention for the straight0line method). The applicable MACRS depreciation rates are 33%, 45%, 15% and 7% as discussed in Appendix 12A. The company's WACC is 10%, and its tax rate is 40%.

a) what would the depreciation expense be each year under each method?

b) which depreciation method would produce the higher NPV, and how much higher would it be?

Explanation / Answer

Calculation of Depreciation:

Under Straight Line Method:

Depreciation = Cost - Salvage Value / Life

Depreciation = 800,000 - 0 / 4 = $200,000

a.

b. Calculation of NPV under both the methods:

MACRS method will give higher NPV by $44,738 (932,299 - 887,561)

Straight Line MACRS Year 1 200,000 264,000 Year 2 200,000 360,000 Year 3 200,000 120,000 Year 4 200,000 56,000 Total 800,000 800,000