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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Textbook Question
Chapter 9, Problem 8QP
Calculating
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Q24
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 an economy with three states which occur with probability (0.2, 0.2, 0.6). Suppose a
firm has a project which generates the state dependent cash flows (100, 240, 220) at t=1. The
investment costs are 170 at t=0. The firm has 170 at t=0. The market portfolio generates the
payoff (200, 230, 260) and has an expected return of 10%. The risk free rate is 2%. Suppose
the CAPM holds.
(a) What is the beta of this project?
(b) What is the net present value of the project? Explain whether the firm should conduct
the 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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- Consider 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_forward12.arrow_forwardSuppose your firm is considering investing in a project with the cash flows shown as follows, that the required rate of return on projects of this risk class is 12 percent, and that the maximum allowable payback and discounted payback statistic for the project are two and two and a half years, respectively. Time 0 1 2 3 4 5 Cash Flow −125,000 65,000 78,000 105,000 105,000 25,000 Use the NPV decision rule to evaluate this project; should it be accepted or rejected?arrow_forward
- 8arrow_forwardData table (Click on the following icon in order to copy its contents into a spreadsheet.) Cash Flow Today ($ millions) Project A -6 B с 2 25 L Cash Flow in One Year ($ millions) 22 5 - 8 <arrow_forwardWhat 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 percentarrow_forward
- For the given cash flows, suppose the firm uses the NPV decision rule. Year Cash Flow -$ 155,000 61,000 78,000 62,000 1 2 3 At a required return of 10 %, what is the NPV of the project? At a required return of 19%, what is the NPV of the project?arrow_forward8 The PW-based relation for the incremental cash flow series to find Δi* between the lower first-cost alternative X and alternative Y has been developed. 0 = -24,000 + 9000(P/A,Δi*,10) + ( -3000(P/F,Δi*,10)) Determine the highest MARR value for which Y is preferred over X. Any MARR value less than ___ % favors Y.arrow_forwardYiu 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_forward
- The following table shows the forecast cash flows for two projects: C0C0 C1C1 C2C2 C3C3 C4C4 C5C5 A −$1,100 $30 $30 $30 $30 $1,280 B −1,100 80 80 1,100 Now suppose that the term structure is upward sloping and investors demand a higher return on the more distant flows as in the following table: t 1 2 3 4 5 rtrt 4.0% 4.5% 5.0% 5.5% 6.0% a-1. Calculate the IRR on the two projects. a-2. Calculate the NPV on the two projects. a-3. Do the two measures give the same ranking for the two projects?arrow_forwardYour firm has identified three potential investment projects. The projects and their cash flows are shown here: Project Cash Flow Today ($) 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_forwardNeed helparrow_forward
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