Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 5, Problem 4PS
IRR rule You have the chance to participate in a project that produces the following cash flows:
The
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You have the chance to participate in a project that produces the following cash flows:
Cash Flows ($)
C0 C1 C2
−3,600 5,400 −10,800
If the opportunity cost of capital is 10%, what is the NPV of the project?
Would you accept the offer?
Owe
If the cash flows for Project M are C0 = -1,000; C1 = +800; C2 = +700 and C3= -200. Calculate the IRR for the project. For what range of discount rates does the project have a positive NPV?
Chapter 5 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 5 - (IRR) Check the IRRs for project F in Section 5-3.Ch. 5 - (IRR) What is the IRR of a project with the...Ch. 5 - (XIRR) What is the IRR of a project with the...Ch. 5 - Payback a. What is the payback period on each of...Ch. 5 - IRR Write down the equation defining a projects...Ch. 5 - Prob. 3PSCh. 5 - IRR rule You have the chance to participate in a...Ch. 5 - IRR rule Consider a project with the following...Ch. 5 - IRR rule Consider projects Alpha and Beta: The...Ch. 5 - Capital rationing Suppose you have the following...
Ch. 5 - Payback Consider the following projects: a. If the...Ch. 5 - Prob. 9PSCh. 5 - IRR Calculate the IRR (or IRRs) for the following...Ch. 5 - IRR rule Consider the following two mutually...Ch. 5 - IRR rule Mr. Cyrus Clops, the president of Giant...Ch. 5 - Prob. 13PSCh. 5 - Profitability index Look again at projects D and E...Ch. 5 - Prob. 15PSCh. 5 - Prob. 16PS
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- Start with the partial model in the file Ch10 P23 Build a Model.xlsx on the textbooks Web site. Gardial Fisheries is considering two mutually exclusive investments. The projects expected net cash flows are as follows: a. If each projects cost of capital is 12%, which project should be selected? If the cost of capital is 18%, what project is the proper choice? b. Construct NPV profiles for Projects A and B. c. What is each projects IRR? d. What is the crossover rate, and what is its significance? e. What is each projects MIRR at a cost of capital of 12%? At r = 18%? (Hint: Consider Period 7 as the end of Project Bs life.) f. What is the regular payback period for these two projects? g. At a cost of capital of 12%, what is the discounted payback period for these two projects? h. What is the profitability index for each project if the cost of capital is 12%?arrow_forwardH1.arrow_forwardConsider the following two projects: Cash flows Project A Project B C0�0 −$ 240 −$ 240 C1�1 100 123 C2�2 100 123 C3�3 100 123 C4�4 100 a. If the opportunity cost of capital is 8%, which of these two projects would you accept (A, B, or both)? b. Suppose that you can choose only one of these two projects. Which would you choose? The discount rate is still 8%. c. Which one would you choose if the cost of capital is 16%? d. What is the payback period of each project? e. Is the project with the shortest payback period also the one with the highest NPV? f. What are the internal rates of return on the two projects? g. Does the IRR rule in this case give the same answer as NPV? h. If the opportunity cost of capital is 8%, what is the profitability index for each project? i. Is the project with the highest profitability index also the one with the highest NPV? j. Which measure should you use to choose between the projects?arrow_forward
- A firm evaluates all of its projects by applying the IRR rule. A project under consideration has the following cash flows: Year Cash Flow 0 –$ 28,400 1 12,400 2 15,400 3 11,400 If the required return is 15 percent, what is the IRR for this project? Should the firm accept the project?arrow_forward6.Calculate the project's Modified Internal Rate of Return (MIRR). What critical assumption does the MIRR make that differentiates it from the IRR? TIP : look for the definition of Modified Internal Rate of Return, and then do it in excel, easy !!! Year Net Cash flow Future Value of Net Cash flow 0 -$20.8 example 1 $4.5 $7.97 (n=6, i=10%)=fv(.1,6,,4.5) 2 $6.3 (n=5, i=10%) 3 $5.2 (n=4, i=10%) 4 $3.9 (n=3, i=10%) 5 $2.1 (n=2, i=10%) 6 $1.3 (n=1, i=10%) 7 $0.5 (n=0, i=10%) Sum = $XX.XX MIRR = ( in excel ) Rate ( 7,-20.8, xx.xx) 7.Where does the value of MIRR fall relative to the discount rate and IRR?arrow_forwardConsider the following two projects: cash flows Project A Project B c0 -270 -2170 c1 115 143 c2 115 143 c3 115 143 c4 115 a. If the opportunity cost of capital is 10%, which of these 2 projects would you accept? b. Suppose that you can choose only one of these two projects. Which would you choose? The discount rate is still 10%. c. Which one would you choose if the cost of capital is 15%? d. What is the payback period for every project? e. Is the project with the shortest payback period also the one with the highest NPV? f. What are the internal rate of return on the two projects? g. Does the IRR rule in this case gives the same answer as NPV? h1. If the opportunity cost of capital is 10%, whats is the profitability index for each project? h2. Is the project with the highest profitability index also the…arrow_forward
- A firm evaluates all of its projects by using the NPV decision rule. Year Cash Flow 0 −$ 28,000 1 24,000 2 13,000 3 6,000 a. At a required return of 28 percent, what is the NPV for this project? b. At a required return of 35 percent, what is the NPV for this project?arrow_forwardQ.1. Three mutually exclusive investment alternatives are under consideration. The initial capital outlays and the pattern of the net annual cash benefits (revenues - expenses) for each alternatives are presented in the following table. Based on NPV analysis, if the company’s minimum acceptable rate of return is 10%, which alternative should be the best economic choice? Use appropriate IRR analysis to double-check your selection. Investment, M$ A B C Initial cost -$200 -$350 -$500 Net Revenues, year 1 to 3 $80 $105 $85 Net Revenues, year 4 $60 $90 $150 Net Revenues, year 5 $40 $80 $250arrow_forwardWhat is the expected NPV of the following decision tree? The net flow and associated probability is shown above and below each branch for the two-year project. a. -R18.72m b. -R5.56m c. R5.00m d. R16.12marrow_forward
- Yiu are asked to evaluate a capital project (in million 0 1. 2 3 4 Cash flows 75 12 15 39 30 required return 10.0% what is the npv what is the IRR what is the modified internal rate of return what is the payback period would you recommend this projectarrow_forwardQ4: Consider the following two mutually exclusive projects, you require a 15 percent return on your investment: Year Cash Flow (A) Cash Flow (B) -18,000 10,000 -170,000 10,000 25,000 25,000 380,000 1 6,000 10,000 3 4 8,000 a) If you apply the payback criterion, which investment will you choose? Why? b) If you apply the discounted payback criterion, which investment will you choose? Why? c) If you apply the NPV criterion, which investment will you choose? Why? d) If you apply the IRR criterion, which investment will you choose? Why? e) If you apply the profitability index criterion, which investment will you choose? Why? f) Based on your answers in (a) through (e), which project will you finally choose? Why? g) What is the relationship between IRR and NPV? Are there any situations in which you might prefer one method over the other? Explainarrow_forwardThe cash flows associated with an investment project are as follows: Year Project Y 0 (40 000) 1 10000 2 10000 3 15000 4 20000 The required return is 5 percent. Reinvestment rate 6%. What’s the discount payback period of the projects? (compile a spreadsheet) Calculate NPV, PI, IRR , MIRR of a projects Should the firm accept the project?arrow_forward
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