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
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 22QP
Cash Flow Intuition [LO1, 2] A project has an initial cost of I, has a required return of R, and pays C annually for N years.
a. Find C in terms of I and N such that the project has a payback period just equal to its life.
b. Find C in terms of I, N, and R such that this is a profitable project according to the
c. Find C in terms of I, N, and R such that the project has a benefit–cost ratio of 2.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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…
6.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?
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
Cash Flow
Year 1
$375,000
Year 2
$475,000
Year 3
$500,000
Year 4
$400,000
If the project’s weighted average cost of capital (WACC) is 8%, the project’s NPV (rounded to the nearest dollar) is:
$345,386
$328,117
$414,463
$362,655
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- 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 Cash Flow Year 1 $300,000 Year 2 $450,000 Year 3 $500,000 Year 4 $500,000 If the project’s weighted average cost of capital (WACC) is 8%, the project’s NPV (rounded to the nearest dollar) is: $470,812 $449,412 $513,613 $428,011 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. The payback period does not take the time value of money into account. The payback period is calculated using net…arrow_forwardThe NPV of a project involving an initial investment of x0 at time zero and a constantstream of cash flows x > 0 in all subsequent periods, 1, 2, ...,∞, is x/r − x0. Doyou remember how to derive this result from first principles? What if the project isexpected to be discontinued after T > 1 periods?arrow_forward1] Payback and Internal Rate of Return: A project has perpetual cash flows of C per period, a cost of I, and a required return of r. What is the relationship between the project’s payback and its IRR? What implications does your answer have for long-lived projects with relatively constant cash flows? 2] WHAT ARE THE PROBLEMS WITH IRR APPROACH TO CAPITAL BUDGETING? 3] COMPARE IRR WITH MIRR METHOD.arrow_forward
- You have determined the profitability of a planned project by finding the present value of all the cash flows from that project. Which of the following would cause the project to look more appealing in terms of the present value of those cash flows? A. The discount rate increases. B. The cash flows are extended over a longer period of time, but the total amount of the cash flows remains the same. C. The discount rate decreases. D. Answers B and C above. E. Answers A and B above.arrow_forwardConsider the following cash flows: C0= -22, C1= 20, C2= 20, C3=20, C4= -40 a) Calculate both the internal rates of return on this project out of which one is (a shade above) 7% and that the other is (a shade below) 34%. b) is the project attractive if the discount rate is 5%? What is the NPV? c) Is the project attractive is the discount rate is 20%? What is the NPV? d) Is the project attractive is the discount rate is 40%? What is the NPV?arrow_forwardCalculate the payback period, net present value, and internal rate of return for Project A. Assume a discount rate of 10%. Should the firm accept or reject Project A? Explain. If Project A and Project B are mutually exclusive, which is the better choice? Explain. What are “non-conventional” cash flows? What issues arise when evaluating projects with “non-conventional” cash flows? Project A Project B Year Cash Flow Year Cash Flow 0 -$100,000 0 -$1 1 $70,000 1 $0 2 $0 2 $0 3 $50,000 3 $10arrow_forward
- 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?arrow_forwardWhich of the following comes closest to the net present value (NPV) of a project whose initial investment is $5 and which produces two cash flows: the first at the end of year 2 of $3 and the second at the end of year 4 of $7? The required rate of return is 13%? Select one: a. $1.84 b. $0 c. $1.64 d. $2.05 e. $2.26arrow_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_forward
- You are considering two projects with the following cash flows: Project X Project Y Year 1 $7,000 $5,000 Year 2 6,000 4,000 Year 3 4,000 3,000 Year 4 1,000 6,000 Which of the following statements are true concerning these two projects? I. Both projects have the same future value at the end of year 4, given a positive rate of return. II. Project X has a higher present value than Project Y, given a positive discount rate. III. Both projects have the same future value given a zero rate of return. IV. Project Y has a higher present value than Project X, given a positive discount rate. Multiple choice options: II only I and III only II and III only II and IV only I, III, and IV onlyarrow_forwardConsider the following cash flow profile and assume MARR is 10%/yr. Solve, a. What does Descartes’ rule of signs tell us about the IRR(s) of this project? b. What does Norstrom’s criterion tell us about the IRR(s) of this project? c. Determine the IRR(s) for this project. d. Is this project economically attractive?arrow_forwardSuppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistic for the project are 2 and 3 years, respectively. Time 0 1 2 3 4 5 6 Cash Flow -1,040 140 460 660 660 260 660 Use the NPV decision rule to evaluate this project; should it be accepted or rejected?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education
Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,
Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
ISBN:9780077861759
Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:McGraw-Hill Education
Capital Budgeting Introduction & Calculations Step-by-Step -PV, FV, NPV, IRR, Payback, Simple R of R; Author: Accounting Step by Step;https://www.youtube.com/watch?v=hyBw-NnAkHY;License: Standard Youtube License