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 23QP
Payback and
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What is the internal rate of return of an investment that requires a 10 percent minimum rate of return and has the following projected cash flows: Yr0 = -100, Yr1 = 25, Yr2 = 35, Yr3 = 45, Yr4 = 35, and Yr5 = 30?
a.
19.33 percent
b.
21.35 percent
c.
20.05 percent
d.
22.24 percent
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?
Consider the following cash flow profile, and
assume MARR is 11 percent/year.
ΕΟΥ
NCF
$-115
1
$19
$19
3
$19
4
$19
5
$19
$19
a. What does Descartes' rule of signs tell you
about the IRR(s) of the project?
b. What does Norstrom's criterion tell us
about the IRR(s) of this project?
c. What is the IRR(s) for this project?
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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- What is the net present value of an investment that requires a 10 percent minimum rate of return and has the following projected cash flows: Yr0 = -100, Yr1 = 25, Yr2 = 35, Yr3 = 45, Yr4 = 35, and Yr5 = 30? a. 41 b. 28 c. 34 d. 35arrow_forwardyou are considered an investment with the following cash flows. If the required rate of return for that investment is 13.5% should you accept it based solely on the internal rate of return Year. Cash flows 1. -$12000 2. $5500 3. $8000 4. -$1500 A. yes, because the IRR exceeds the required return B. yes, because the IRR is a positive rate of return C. No, because the IRR is less than the required return D. you cannot apply the IRR rule in this case because there are multiple IRRs.arrow_forwardHh1.arrow_forward
- An investment has the following cash flow profile. For each value of MARR below, what is the minimum value of X such that the investment is attractive based on an internal rate of return measure of merit? a. MARR is 12%/yr.b. MARR is 15%/yr. c. MARR is 24%/yr. d. MARR is 8%/yr. e. MARR is 0%/yr.arrow_forwardMansukhbhaiarrow_forward18. In a situation such as Acron's, where a one-time cost is followed by a sequence of cash flows, the internal rate of return (IRR) is the discount rate that makes the NPV equal to 0. The idea is that if the discount rate is greater than the IRR, the company will not pursue the project, but if the discount rate is less than the IRR, the project is financially attractive. a. Use Excel's Goal Seek tool to find the IRR for the Acron model. b. Excel also has an IRR function. Look it up in online help to see how it works, and then use it on Acron's model. Of course, you should get the same IRR as in part a. c. Verify that the NPV is negative when the discount rate is slightly greater than the IRR, and that it is positive when the discount rate is slightly less thanarrow_forward
- You identify an investment project with the following cash flows. If the discount rate is 10%, what is the present value of these cash flows? Y1- $500 Y2- $550 Y3- $800 Y4- $450. Please type answer no write by hend.arrow_forwardPlease don't provide handwritten solution .....arrow_forwardYour firm has identified three potential investment projects. The projects and their cash flows are shown here: Project Cash Flow Today ($) Cash Flow in One Year ($) A -10 20 В 20 -10 Suppose all cash flows are certain and the risk-free interest rate is 10%. a. What is the NPV of each project? b. If the firm can choose only one of these projects, which should it choose? c. If the firm can choose any two of these projects, which should it choose?arrow_forward
- Calculate 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_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_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 9 percent, and that the maximum allowable payback and discounted payback statistics for the project are 3.5 and 4.5 years, respectively. Time: Cash flow: 0 -$15, 200 MIRR 1 $3,000 3 2 $4,200 $3,400 Use the MIRR decision rule to evaluate this project. (Do not round intermediate calculations and round your final answer to 2 decimal places.) % 5 $3,400 $3,200 6 $3,000arrow_forward
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