endy's boss wants to use straight-line depreciation for the new expansion project because he said it...

Free

90.2K

Verified Solution

Question

Finance

endy's boss wants to use straight-line depreciation for the newexpansion project because he said it will give higher net income inearlier years and give him a larger bonus. The project will last 4years and requires $700,000 of equipment. The company could useeither straight-line or the 3-year MACRS accelerated method. Understraight-line depreciation, the cost of the equipment would bedepreciated evenly over its 4-year life. (Ignore the half-yearconvention for the straight-line method.) The applicable MACRSdepreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%. Theproject cost of capital is 8%, and its tax rate is 50%. What wouldthe depreciation expense be each year under each method? YearScenario 1 (Straight Line) Scenario 2 (MACRS) 1 $ $ 2 3 4 Whichdepreciation method would produce the higher NPV? How much higherwould it be? Round your answer to the nearest dollar.

Answer & Explanation Solved by verified expert
4.2 Ratings (599 Votes)

STRAIGHT LINE DEPRECIATION:
Year Depreciation expense Tax shield on depreciation PVIF at 8% PV at 8%
1 $       1,75,000 $                87,500 0.92593 $       81,019
2 $       1,75,000 $                87,500 0.85734 $       75,017
3 $       1,75,000 $                87,500 0.79383 $       69,460
4 $       1,75,000 $                87,500 0.73503 $       64,315
$    2,89,811
MACRS DEPRECIATION:
Year Depreciation expense Tax shield on depreciation PVIF at 8% PV at 8%
1 $       2,33,310 $            1,16,655 0.92593 $    1,08,014
2 $       3,11,150 $            1,55,575 0.85734 $    1,33,380
3 $       1,03,670 $                51,835 0.79383 $       41,148
4 $          51,870 $                25,935 0.73503 $       19,063
$    3,01,606
As the PV of the depreciation tax shield is more under the MACRS
method, it will produce higher NPV.
The NPV would be higher by 301606-289811 = $          11,795

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Transcribed Image Text

endy's boss wants to use straight-line depreciation for the newexpansion project because he said it will give higher net income inearlier years and give him a larger bonus. The project will last 4years and requires $700,000 of equipment. The company could useeither straight-line or the 3-year MACRS accelerated method. Understraight-line depreciation, the cost of the equipment would bedepreciated evenly over its 4-year life. (Ignore the half-yearconvention for the straight-line method.) The applicable MACRSdepreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%. Theproject cost of capital is 8%, and its tax rate is 50%. What wouldthe depreciation expense be each year under each method? YearScenario 1 (Straight Line) Scenario 2 (MACRS) 1 $ $ 2 3 4 Whichdepreciation method would produce the higher NPV? How much higherwould it be? Round your answer to the nearest dollar.

Other questions asked by students