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Mountain Manufacturing is considering the following capital investment proposals. Mountain’s requirement criteria include a maximum payback period of five years and a required rate of return of 12.5%. Determine if each investment is acceptable or should be rejected (ignore qualitative factors). Rank the acceptable investments in order from most desirable to least desirable

Project

A

B

C

D

E

Payback

3.15 years

4.20 years

2.00 years

3.25 years

5.00 years

NPV

\(10,250

\)42,226

(\(10,874)

\)36,251

$0

IRR

13.0%

14.2%

8.5%

14.0%

12.5%

Profitability index

1.54

1.92

0.75

2.86

1.00

Short Answer

Expert verified

Project B

Project D

Project A

Project E

Project C

Step by step solution

01

Definition of Internal Rate of Return

The internal rate of return is the metric used in capital budgeting to determine the project’s profitability. IRR is calculated using the same formula as used for NPV. Under calculation of IRR net present value is considered as 0.

02

Investment decision using the payback period

The maximum payback period is given as 5 years, and all the projects are having payback period equal to or less than five years. Therefore, according to the payback period, all projects will be accepted.

03

Investment decision using NPV

A business entity must accept all the projects that have positive NPV. In the above cases, all projects have positive NPV except project C. Therefore; only project C will be rejected.

04

Investment decision using IRR

The required rate of return is 12.5%, so any project providing a return below this will be rejected. Therefore, Project C will be rejected because it is having IRR of 8.5%.

05

Investment decision using profitability index

When a decision is made using the profitability index, two things are considered positive NPV and a profitability index of more than 1. In the above case, Project C will be rejected because the profitability index of this project is less than one, and its NPV is negative.

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Most popular questions from this chapter

What is the decision rule for payback?

Refer to the Hunter Valley Snow Park Lodge expansion project in Short Exercise S26-4 and your calculations in Short Exercises S26-5 and S26-6. Assume the expansion has zero residual value.

Requirements

1. Will the payback change? Explain your answer. Recalculate the payback if it changes. Round to one decimal place.

2. Will the project’s ARR change? Explain your answer. Recalculate ARR if it changes. Round to two decimal places.

3. Assume Hunter Valley screens its potential capital investments using the following decision criteria:

Maximum payback period

5.0 years

Maximum accounting rate of return

18.00%

You are planning for early retirement. You would like to retire at age 40 and have enough money saved to be able to withdraw \(220,000 per year for the next 30 years (based on family history, you think you will live to age 70). You plan to save by making 20 equal annual instalments (from age 20 to age 40) into a fairly risky investment fund that you expect will earn 8% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old.

Requirements

1. How much money must you accumulate by retirement to make your plan work? (Hint: Find the present value of the \)220,000 withdrawals.)

2. How does this amount compare to the total amount you will withdraw from the investment during retirement? How can these numbers be so different?

Spencer Wilkes is the marketing manager at Darby Company. Last year, Spencer recommended the company approve a capital investment project for the addition of a new product line. Spencer’s recommendation included predicted cash inflows for five years from the sales of the new product line. Darby Company has been selling the new products for almost one year. The company has a policy of conducting annual post audits on capital investments, and Spencer is concerned about the one-year post-audit because sales in the first year have been lower than he estimated. However, sales have been increasing for the last couple of months, and Spencer expects that by the end of the second year, actual sales will exceed his estimates for the first two years combined.

Spencer wants to shift some sales from the second year of the project into the first year. Doing so will make it appear that his cash flow predictions were accurate. With accurate estimates, he will be able to avoid a poor performance evaluation. Spencer has discussed his plan with a couple of key sales representatives, urging them to report sales in the current month that will not be shipped until a later month. Spencer has justified this course of action by explaining that there will be no effect on the annual financial statements because the project year does not coincide with the fiscal year––by the time the accounting year ends, the sales will have actually occurred.

Requirements

1. What is the fundamental ethical issue? Who are the affected parties?

2. If you were a sales representative at Darby Company, how would you respond to Spencer’s request? Why?

3. If you were Spencer’s manager and you discovered his plan, how would you respond?

4. Are there other courses of action Spencer could take?

Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose):

1. \(7,250 per year at the end of each of the next eight years

2. \)49,650 (lump sum) now

3. $98,650 (lump sum) eight years from now

Requirements

1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present value? Round to nearest whole dollar.

2. Would your preference change if you used a 10% discount rate?

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