Problem 8-10 NPV versus IRR [LO 3, 4] Bruin, Incorporated has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 -$ 41,300 -$ 41,300 1 19,100 6,300 2 17,800 14,200 3 4 15,200 17,900 8,400 30,300 a-1. What is the IRR for each of these projects? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a-2. If you apply the IRR decision rule, which project should the company accept? b-1. Assume the required return is 11 percent. What is the NPV for each of these projects? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b-2. Which project will you choose if you apply the NPV decision rule? a-1. Project A Project B a-2. Project acceptance b-1. Project A Project B b-2. Project acceptance % %

4. NPV versus IRR Bruin, Inc., has identified the following two mutually exclusive projects: Year 0 1 2 3 4 Cash Flow(A) -$ 40,000 19,100 17,800 15,200 8,400 Cash Flow(B) -$ 40,000 6,300 14,200 17,900 30,300 a. What is the IRR for each of these projects? (5%) Using the IRR decision rule, which project should the company accept? (5%) b. If the required return is 10 percent, what is the NPV for each of these projects? (5%) Which project will the company choose if it applies the NPV decision rule? (5%)

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Consider the following two mutually exclusive projects: Year Cash Flow (X) Cash Flow (Y) 0 -$ 15,900 -$ 15,900 1 6,710 7,290 2 7,290 7,730 3 4,810 3,630 a. What is the IRR of Project X? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decim b. What is the IRR of Project Y? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decim c. What is the crossover rate for these two projects? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decim a. IRR b. IRR % % c. Crossover rate %

Consider the following two mutually exclusive projects: Year Cash Flow (X) Cash Flow (Y) 0 -$ 15,900 -$ 15,900 6,710 7,290 23 7,290 7,730 3,630 4,810 a. What is the IRR of Project X? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the IRR of Project Y? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. c. What is the crossover rate for these two projects? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. IRR b. IRR % % c. Crossover rate %

Consider two mutually exclusive projects A and B: Cash Flows (dollars) Project Co A B -39,000 -59,000 C₁ C₂ NPV at 10% 28,200 28,200 +$ 9,942 42,000 42,000 +13,893 a. Calculate IRRs for A and B. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Project A B Answer is not complete. IRR % %

10. NPV versus IRR Piercy, LLC, has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) -$77,500 -$77,500 1 43,000 21,000 29,000 28,000 3. 23,000 34,000 21,000 41,000 What is the IRR for each these projects? If you apply the IRR a. decision rule, which project should the company accept? Is this decision necessarily correct? b. If the required return is 11 percent, what is the NPV for each of the projects? Which project will you choose if you apply the NPV decision rule? Over what range of discount rates would you choose Project A? Project B? At what discount rate would you be indifferent between these two projects? Explain. с. roiects:

7. Consider the two mutually exclusive investment projects in the table, which have unequal service lives. 11 0 1 2 3 4 5 Project's Cash Flow A2 -$1,800 -$300 -$300 -$300 -$300 -$300 A1 -$900 -$400 -$400 -$400 $200 WAL -$300 + $500 a. What assumption(s) do you need in order to compare a set of mutually exclusive service projects with unequal service lives? b. With the assumption(s) defined in part (a) and using 10%, determine which project should be selected. c. If your analysis period (study period) is just three years, what should be the salvage value of project A2 at the end of year 3 to make the two alternatives economically indifferent?

Consider two mutually exclusive projects A and B: Project Cash Flows (dollars) NPV at 12% Co C 0 C1 C 1 C2 C 2 A-35,500 25,400 25,400 + $7,427 B -55,500 38,500 38,500 +9,567 Calculate IRRS for A and B. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.

Consider projects A and B: Cash Flows (dollars) Project A Co -30,500 C1 C2 21,400 21,400 NPV at 11% +$6,148.00 B -50,500 33,500 33,500 + 6,869.53 a. Calculate IRRS for A and B. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Project A B IRR % % b. Which project does the IRR rule suggest is best? O Project A ○ Project B c. Which project is really best? ○ Project A O Project B k