A company is choosing between two projects. The larger project has an initial cost of $100,000, annual cash flows of $30,000 for 5 years, and an IRR of 15.24%. The smaller project has an initial cost of $51,600, annual cash flows of $16,000 for 5 years, and an IRR of 16.65%. The projects are equally risky. Which of the following statements is CORRECT?

a. Since the smaller project has the higher IRR, the two projects’ NPV profiles cannot cross, and the smaller project’s NPV will be higher at all positive values of WACC.

b. Since the smaller project has the higher IRR, the two projects’ NPV profiles will cross, and the larger project will look better based on the NPV at all positive values of WACC.

c. If the company uses the NPV method, it will tend to favor smaller, shorter-term projects over larger, longer-term projects, regardless of how high or low the WACC is.

d. Since the smaller project has the higher IRR but the larger project has the higher NPV at a zero discount rate, the two projects’ NPV profiles will cross, and the larger project will have the higher NPV if the WACC is less than the crossover rate.

e. Since the smaller project has the higher IRR and the larger NPV at a zero discount rate, the two projects’ NPV profiles will cross, and the smaller project will look better if the WACC is less than the crossover rate.

d. Since the smaller project has the higher IRR but the larger project has the higher NPV at a zero discount rate, the two projects’ NPV profiles will cross, and the larger project will have the higher NPV if the WACC is less than the crossover rate.

Explanation:

Since the smaller project has the higher IRR but the larger project has the higher NPV at a zero discount rate, the two projects’ NPV profiles will cross, and the larger project will have the higher NPV if the WACC is less than the crossover rate due to the fact that the LARGER PROJECT has an initial cost of $100,000, annual cash flows of $30,000 for 5 years, and an IRR of 15.24% while The SMALLER PROJECT has an initial cost of $51,600, annual cash flows of $16,000 for 5 years, and an IRR of 16.65%. Which simply indicate that both the larger project and smaller project NPV profiles will cross which will inturn make the larger project to have the higher NPV if the WACC is lesser than the cross rate.

Therefore this statement is true and correct while the other statements can be said to be false or incorrect.

rational decision making is a multi-step process for making choices between alternatives. the process of rational decision making favors logic, objectivity, and analysis over subjectivity and insight. the word “rational” in this context does not mean sane or clear-headed as it does in the colloquial sense.

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