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Adrian Sonnetson, the owner of Adrian Motors, is considering the addition of a p

ID: 2468473 • Letter: A

Question

Adrian Sonnetson, the owner of Adrian Motors, is considering the addition of a paint and body shop to his automobile dealership.Construction of a building and the purchase of necessary equipment is estimated to cost $796,000, and both the building and equipment will be depreciated over 10 years using the straight-line method. The building and equipment have zero estimated residual value at the end of 10 years.Sonnetson’s required rate of return for this project is 12 percent. Net income related to each year of the investment is as follows:

1. Determine the net present value of the investment in the paint and body shop?

2. Should Sonnetson invest in the paint and body shop?

3. Calculate the internal rate of return of the investment (approximate)?

4. Calculate the payback period of the investment?

5. Calculate the accounting rate of return?

Revenue $651,000 Less:     Material cost 71,700     Labor 149,000     Depreciation 79,600     Other 10,000 Income before taxes 340,700 Taxes at 40% 136,280 Net income $204,420

Explanation / Answer

Net income

204,420

Add: Depreciation

79,600

Annual cash flow

284,020

Cash flow

PV factor

total

-796,000

1.000

-796,000

284,020

5.6502

1,604,769.80

808,769.80

b) Yes

c)IRR

Initial outlay                                   $796,000

Annual annuity                                284,020

PV of annuity factor          = cost / annuity amount

                                               = 796,000 / 284,020

                                              = 2.80261

                          IRR             = 32.93%

c) Pay back period              = 2.80

d) Account rate of return

Average income / Average investment

204,420 / 398,000

= 51.36%

Net income

204,420

Add: Depreciation

79,600

Annual cash flow

284,020

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