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TUTORIAL 2 1. If a project has conventional cash flows and a positive NPV, what do you know about its benefit/cost ratio? IRR? Which will be the shortest and which will be the longest when we compare the payback, the project’s life and the discounted payback? 2. Compute the internal rate of return on a project with the following cash flows: Year Cash flow 0 -$24,000 1 22,000 2 4,840 Assume the project is undertaken and it is found that the total outlay at the beginning was only $21,694.44. What is the revised IRR? 3. Cautious Ltd is examining a three-year investment but it is not sure which evaluation technique to use. The following information has been collected for the investment: Year Cash flow 0 -$100 1 50 2 40 3 60 Help Cautious by completing the table assuming an 8% required return and answering the questions that follow the table. Cash flows and accumulated cash flows Cash flow Accumulated cash flow Non-discounted Discounted Non-discounted Discounted

Year 1 2 3

a. What is the payback rounded up to the next whole year? What is the payback if we use fractional years? What are we assuming about the cash flows when we calculate the fractional year? b. What is the discounted payback? Don’t calculate the fractional year. c. What is the NPV of this investment if the required return is 8%? d. What is the NPV of this investment if the required return is 10%? e. What is the NPV of this investment if the required return is 6%? f. Do you think computing the three techniques of evaluation helped Cautious?

CHAPTER 8: MAKING CAPITAL INVESTMENT DECISIONS 4. A new security process monitor costs $140,000. This monitor will be depreciated at a diminishing value rate of 30%. The monitor will be worthless in 5 years but it will save theft of $40,000 per year before taxes. The required rate of return is 10% and the rate of tax is 30%. What is the NPV of the purchase if

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