Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 9, Problem 18QP
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4. Calculating Discounted Payback [LO3] An
investment project has annual cash inflows of $2,800,
$3,700, $5,100, and $4,300, for the next four years,
respectively. The discount rate is 11 percent. What is the
discounted payback period for these cash flows if the initial
cost is $5,200? What if the initial cost is $6,40o? What if it is
$10,400?
NPV versus IRR [LO1, 5] Consider the following two
mutually exclusive projects:
Year Cash Flow (X) Cash Flow (Y)
O
-$30,000
-$30,000
1
13,700
15,600
2
14,200
12,200
3
13,400
13,300
Page 313
Sketch the NPV profiles for X and Y over a range of discount rates from
zero to 25 percent. What is the crossover rate for these two projects?
5. Calculating Discounted Payback [LO3] An
investment project costs $17,000 and has annual cash flows
of $4,700 for six years. What is the discounted payback
period if the discount rate is zero percent? What if the
discount rate is 5 percent? If it is 19 percent?
306
Chapter 9 Solutions
Fundamentals of Corporate Finance
Ch. 9.1 - Prob. 9.1ACQCh. 9.1 - Prob. 9.1BCQCh. 9.2 - Prob. 9.2ACQCh. 9.2 - Why do we say that the payback period is, in a...Ch. 9.3 - Prob. 9.3ACQCh. 9.3 - What advantage(s) does the discounted payback have...Ch. 9.4 - What is an average accounting rate of return...Ch. 9.4 - What are the weaknesses of the AAR rule?Ch. 9.5 - Prob. 9.5ACQCh. 9.5 - Is it generally true that an advantage of the IRR...
Ch. 9.6 - What does the profitability index measure?Ch. 9.6 - How would you state the profitability index rule?Ch. 9.7 - Prob. 9.7ACQCh. 9.7 - If NPV is conceptually the best procedure for...Ch. 9 - Prob. 9.1CTFCh. 9 - Prob. 9.2CTFCh. 9 - Prob. 9.3CTFCh. 9 - Prob. 9.4CTFCh. 9 - What is a benefitcost ratio?Ch. 9 - Prob. 9.7CTFCh. 9 - Prob. 1CRCTCh. 9 - Net Present Value [LO1] Suppose a project has...Ch. 9 - Prob. 3CRCTCh. 9 - Prob. 4CRCTCh. 9 - Prob. 5CRCTCh. 9 - Net Present Value [LO1] Concerning NPV: a....Ch. 9 - Prob. 7CRCTCh. 9 - Profitability Index [LO7] Concerning the...Ch. 9 - Payback and Internal Rate of Return [LO2, 5] A...Ch. 9 - Prob. 10CRCTCh. 9 - Capital Budgeting Problems [LO1] What difficulties...Ch. 9 - Prob. 12CRCTCh. 9 - Modified Internal Rate of Return [LO6] One of the...Ch. 9 - Net Present Value [LO1] It is sometimes stated...Ch. 9 - Internal Rate of Return [LO5] It is sometimes...Ch. 9 - Calculating Payback [LO2] What is the payback...Ch. 9 - Calculating Payback [LO2] An investment project...Ch. 9 - Calculating Payback [LO2] Siva, Inc., imposes a...Ch. 9 - Calculating Discounted Payback [LO3] An investment...Ch. 9 - Calculating Discounted Payback [LO3] An investment...Ch. 9 - Calculating AAR [LO4] Youre trying to determine...Ch. 9 - Calculating IRR [LO5] A firm evaluates all of its...Ch. 9 - Calculating NPV [LO1] For the cash flows in the...Ch. 9 - Calculating NPV and IRR [LO1, 5] A project that...Ch. 9 - Calculating IRR [LO5] What is the IRR of the...Ch. 9 - Prob. 11QPCh. 9 - NPV versus IRR [LO1, 5] Garage, Inc., has...Ch. 9 - Prob. 13QPCh. 9 - Problems with IRR [LO5] Light Sweet Petroleum,...Ch. 9 - Prob. 15QPCh. 9 - Problems with Profitability Index [LO1, 7] The...Ch. 9 - Comparing Investment Criteria [LO1, 2, 3, 5, 7]...Ch. 9 - NPV and Discount Rates [LO1] An investment has an...Ch. 9 - MIRR [L06] RAK Corp. is evaluating a project with...Ch. 9 - Prob. 20QPCh. 9 - Prob. 21QPCh. 9 - Cash Flow Intuition [LO1, 2] A project has an...Ch. 9 - Payback and NPV [LO1, 2] An investment under...Ch. 9 - Prob. 24QPCh. 9 - NPV Valuation [LO1] The Yurdone Corporation wants...Ch. 9 - Problems with IRR [LO5] A project has the...Ch. 9 - Problems with IRR [LO5] McKeekin Corp. has a...Ch. 9 - Prob. 28QPCh. 9 - Prob. 1MCh. 9 - Prob. 2MCh. 9 - Bullock Gold Mining Seth Bullock, the owner of...
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- 2. Calculating Payback [LO2] An investment project provides cash inflows of $745 per year for eight years. What is the project payback period if the initial cost is $1,700? What if the initial cost is $3,30o? What if it is $6,100?arrow_forwardConsider projects A and B with the following cash flows: C0 C1 C2 C3 A − $ 27 + $ 16 + $ 16 + $ 16 B − 52 + 27 + 27 + 27 a-1. What is the NPV of each project if the discount rate is 10%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) a-2. Which project has the higher NPV? b-1. What is the profitability index of each project? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b-2. Which project has the higher profitability index? c. Which project is most attractive to a firm that can raise an unlimited amount of funds to pay for its investment projects? d. Which project is most attractive to a firm that is limited in the funds it can raise?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
- Observe the graph below and identify the internal rate of return. Assume that the discount rate is 8%. What is the net present value of the project? Briefly explain if the project is viable or not? NPV 50000 40000 30000 20000 10000 4 10 12 14 16 18 20 22 24 • 26 28 -10000 discount rate Edit View Insert Format Tools Tablearrow_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_forward3. Calculating Projected Net Income [LO1]A proposed new investment has projected sales of $585,000. Variable costs are 44 percent of sales, and fixed costs are $187,000; depreciation is $51,000. Prepare a pro forma income statement assuming a tax rate of 21 percent. What is the projected net income?arrow_forward
- 1 Solve the following rate of return problems. a. An investment of $1,700 today returns $64,000 in 50 years. What is the internal rate of return on this investment? b. An investment costs $850,000 today and promises a single payment of $12.9 million in 22 years. What is the promised rate of return, IRR, on this investment? c. What return do you earn if you pay $24,410 for a stream of $4,000 payments lasting 10 years? Note: Round your answers to 2 decimal places. a. IRR b. IRR c. IRR 7.53 % %arrow_forward1. A project that provides annual cash flows of $1,200 for nine years costs $6,000 today. Is this a good project if the required return is 8 percent? What if it's 24 percent? At what discount rate would you be indifferent between accepting the project and rejecting it? The graph displays the project's NPV profile NPV 1 0 -1 0.1 0.2 NPV Profile 0.3 0.4 Interest Ratearrow_forwardYou are considering a project that costs OMR600 and has expected cash flows of OMR224, OMR250.88 and OMR280.99 over the next three years. If the appropriate discount rate for the project's cash flows is 12%, what is the net present value of this project? Select one: O a. The NPV is negative O b. OMR 0.00 O c. OMR 9.34 O d. OMR84.75 O e. OMR49.34arrow_forward
- 7. The NPV and payback period What information does the payback period provide? Suppose you are evaluating a project with the expected future cash inflows shown in the following table. Your boss has asked you to calculate the project's net present value (NPV). You don't know the project's initial cost, but you do know the project's regular, or conventional, payback period is 2.50 years. Year Year 1 Year 2 Year 3 Year 4 If the project's weighted average cost of capital (WACC) is 10%, the project's NPV (rounded to the nearest dollar) is: O O Cash Flow $325,000 $475,000 $425,000 $475,000 0 0 $351,183 $367,146 Which of the following statements indicate a disadvantage of using the regular payback period (not the discounted payback period) for capital budgeting decisions? Check all that apply. $319,257 $303,294 The payback period is calculated using net income instead of cash flows. The payback period does not take the project's entire life into account. The payback period does not take the…arrow_forwardThe payoffs of an investment are dependent on the state of the economy. The economy can have two states, recession or growth, with equal probability. If the payoff in the event of growth is $140 and in the event of recession is $80, what is the expected payoff for the investment? a.$100 b.$130 c.$120 d.$110arrow_forwardPm.3 Find out the profitability index (PI) of the following project assuming the required rate of return is 8%. Will you accept the project? Why? year 0 1 2 3 4 5 Cash Flow ($) -250,000 50,000 40,000 120,000 80,000 45,000 Group of answer choices Accept the project because the PI is equal to 1.06, which is larger than 0. Accept the project because the PI is equal to 0.98, which is larger than 0. Reject the project because the PI is equal to 1.06, which is larger than 1. Reject the project because the PI is equal to 0.98, which is lower than 1. Accept the project because the PI is equal to 1.06, which is larger than 1.arrow_forward
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