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# NPV and Payback Period

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Parley Oram saved \$200,000 during the 25 years that he worked for a major corporation. Now he has retired at the age of 50 and has begun to draw a comfortable pension check every month. He wants to ensure the financial security of his retirement by investing his savings wisely and is currently considering two investment opportunities. Both investments require an initial payment of \$150,000. The following table presents the estimated cash inflows for the two alternatives.

Opportunity #1
Year 1 - \$44,500
Year 2 - \$47,000
Year 3 - \$63,000
Year 4 - \$81,000

Opportunity #2
Year 1 - \$82,000
Year 2 - \$87,000
Year 3 - \$14,000
Year 4 - \$12,000

Mr. Oram decides to use his past average return on mutual fund investments as the discount rate; it is 8%.

A. Compute the net present value of each opportunity. Which should Mr. Oram adopt based on the net present value approach?

B. Compute the payback period for each project. Which should Mr. Oram adopt based on the payback approach?

C. Compare the net present value approach with the payback approach. Which method is better in the given circumstances?

#### Solution Preview

Parley Oram saved \$200,000 during the 25 years that he worked for a major corporation. Now he has retired at the age of 50 and has begun to draw a comfortable pension check every month. He wants to ensure the financial security of his retirement by investing his savings wisely and is currently considering two investment opportunities. Both investments require an initial payment of \$150,000. The following table presents the estimated cash inflows for the two alternatives.

Opportunity #1
Year 1 - \$44,500 Year 1 \$44,500
Year 2 - \$47,000 Year 2 \$47,000
Year 3 - \$63,000 Year 3 \$63,000
Year 4 - \$81,000 Year 4 \$81,000

Opportunity #2
Year 1 - \$82,000 Year 1 \$82,000
Year 2 - \$87,000 Year 2 \$87,000
Year 3 - \$14,000 Year 3 \$14,000
Year 4 - \$12,000 Year 4 \$12,000

Mr. Oram decides to use his past average return on ...

#### Solution Summary

Uses NPV and Payback Period to evaluate projects.

\$2.19
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## Calculating project's NPV, IRR, MIRR, Payback Period, Discounted Payback Period

Project SS costs \$52,125, its expected net cash flows are \$12,000 per year for 8 years, its WACC is 12%.

What is the project's NPV?
IRR?
MIRR?
Payback Period?
Discounted Payback Period?

(Show calculations)

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