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Preface iii
Preface Alternative Formats for the Introductory Course v Contents of the Instructor’s Manual v Integrated Cases and Lecture Presentation Software v Electronic Slide Show vi Comprehensive/Spreadsheet Problems vii Spreadsheet Models vii World Wide Web Site vii Study Guide viii Test Bank viii Technology Supplement ix Instructor’s Resource CD-ROM ix Ordering Ancillary Materials ix Conclusion x Course Syllabus xi Course Schedule xv Answers to End-of-Chapter Problems xvii Chapter 1 An Overview of Financial Management 1 Chapter 2 Financial Markets and Institutions 7 Chapter 3 Financial Statements, Cash Flow, and Taxes 21 Chapter 4 Analysis of Financial Statements 41 Chapter 5 Time Value of Money 71 Chapter 6 Interest Rates 113 Chapter 7 Bonds and Their Valuation 137 Chapter 8 Risk and Rates of Return 177 Chapter 9 Stocks and Their Valuation 211 Chapter 10 The Cost of Capital 241 Chapter 11 The Basics of Capital Budgeting 261
Preface v
This preface explains how we have used Fundamentals of Financial Management, Twelfth Edition , and it then describes the instructional aids contained in the Instructor’s Manual or available separately from Cengage Learning.
There is no one best way to teach the introductory finance class—the optimal course structure varies with students’ backgrounds, instructors’ interests, number of credit hours, and position of the course in the overall curriculum. Further, since these factors change over time, most of us vary our approaches from year to year. Still, you may find it useful to learn how Fundamentals has been used at Florida and elsewhere. Fundamentals was designed for use in the introductory undergraduate finance course. This course is typically taught in one term, although some schools cover the material in two terms. At Florida, we require a one- semester, 4-credit hour course that has approximately 58 fifty-minute class periods. Our syllabus is provided later in this manual.
This Instructor’s Manual contains Learning Objectives, Lecture Suggestions, Answers to End-of-Chapter Questions, Solutions to End-of-Chapter Problems, Solutions to Comprehensive/Spreadsheet Problems, and complete restatement and full solution to the Integrated Cases. In addition, at the end of this preface we have included brief quantitative answers for the quantitative end-of chapter problems, except for the comprehensive problems. Appendix B, at the end of the text, provides quantitative solutions only to even-numbered problems. So for those instructors who wish to provide solutions to all quantitative problems, we provide this at the end of the preface. We have organized the Instructor’s Manual by chapter for your convenience.
One of the most important pedagogic aids in Fundamentals is the set of “Integrated Cases” provided with the end-of-chapter problems. In past editions of Fundamentals , these cases were called “Integrative Problems,” but since they are actually mini cases, we changed the names. Whatever they are called, the integrated cases have been extremely well received by instructors and students alike. They provide an excellent vehicle for covering the key elements of each chapter in a coherent, systematic, and interesting manner. They are equally effective in small, discussion-oriented classes or in larger lecture-based classes. The case covers the key elements of the chapter, and its solution is set up in a lecture format, with more detail than our normal end-of-chapter problem solutions. Since the cases are highly structured, one might think that they seriously reduce instructors’ flexibility. However, this is less true than you would imagine, because the cases are written in a manner that makes it easy to delete sections, to add new material, and to provide alternative and/or supplemental examples.
vi Preface The cases are good lecture vehicles for three reasons. First, they reduce instructors’ preparation time—we spent a tremendous amount of time producing carefully structured “lecture problems” so that instructors will not have to do so. Second, students like lectures based on the cases because this ensures that the lecture is consistent with the text, and that the two reinforce one another. Third, the case-oriented lectures are useful for both prepared and unprepared students, and that is helpful for instructors whose students don’t always read the material before class. Since our surveys indicate that more and more instructors are basing their lectures on the integrated cases, we developed a set of electronic slides (Lecture Presentation Software). Dr. Larry Wolken of Texas A & M University brought this idea to our attention and helped in the initial development of the electronic slides. Both transparencies and the blackboard can be used effectively, but all of the instructors who participated in debugging the slide show concluded that it dominates the older technologies. Electronic slides are easier to use than transparencies (and far easier than the blackboard), crisper, more colorful, and more complete, and they capture the attention of students brought up in the TV generation. We originally thought the slides would be too inflexible, but that was not the case—it is extremely easy to break away from the slides and use the blackboard to clarify examples, to make additional points, and the like. All in all, the electronic slides really are a great addition to our ancillary package, and all instructors would be well advised to get a set, insert the CD-ROM, and run a quick slide show to get an idea of just how useful they can be. Note also that the Integrated Cases can be assigned as homework or used by students as self-study problems if you decide against using them as lecture vehicles. We have also added a Comprehensive/Spreadsheet Problem, which we discuss later, for those instructors who want to assign a comprehensive problem and still use the slides for their lectures. One final point about the Integrated Cases is worth noting—they are particularly useful for new, inexperienced teachers and for experienced teachers who are under too much time pressure to continually update their lecture notes. To illustrate, at Florida and elsewhere, Ph.D. students who were under heavy pressure to complete dissertations or other research have been able to teach the introductory undergraduate financial management course for the first time and receive excellent student evaluations with relatively little preparation. We do not recommend teaching without adequate preparation, but we do believe that almost anyone can use the Integrated Cases for lectures and obtain good classroom results without an inordinate amount of preparation time.
As mentioned earlier, a set of electronic slides has been developed. Previously, we used the Integrated Cases, transparencies, and a black board as a complete lecture system, and with good results. But just as new computer and communication technologies are altering the world of finance, so are these advances influencing the way we learn and teach. Thus, along with Larry Wolken, we created a computerized “slide show” lecture presentation that matches the Integrated Case solutions. In addition, Christopher Buzzard has made improvements to the slides—adding even more current data and pictures to them. The slides are developed in “layers,” which makes them more effective than static slides and more similar to a blackboard presentation, but neater. For example, we can create a slide that begins with an equation that shows how historical rates of return are calculated, then brings in illustrative data, then plots the data on a graph, and then uses the graph to explain the concept of a beta coefficient. Color-coding is used to differentiate the stock and market returns, which helps keep things clear and in focus.
viii Preface
We have found, in common with reviewers, that many students need a supplement (1) that contains a summarized treatment of the main concepts of each chapter, and (2) that gives students an opportunity to apply the concepts to relatively short, focused problems with immediate feedback on the accuracy of their solutions. Thus, a Study Guide has been prepared to accompany Fundamentals. The Study Guide contains learning objectives, an overview, and an outline of each chapter, plus over 400 questions and 140 numerical problems in multiple-choice format with answers and solutions. The Study Guide is useful both to help students get the “big picture” prior to reading the text and later as a self-test tool. The Study Guide can be ordered concurrently with the textbook, thus making it available at bookstores for purchase by students who believe it would be beneficial. (We make the Study Guide available, emphasize that it is optional, and find that about two-thirds of our students use it. Feedback from users is very positive.)
The Test Bank that accompanies Fundamentals is available (1) in bound-book form, (2) as self-contained computer software (the standard computerized test bank), and (3) as Microsoft Word files. The questions and problems are all machine gradable, and we have used them often enough so that most of the ambiguities that frequently plague objective tests have been removed. The hardcopy test bank is constructed such that questions and problems can be reproduced directly, after using white-out to remove the correct answer and level of difficulty notation. The computerized versions of the test bank allow users to select test questions and problems from the bank, add or modify them as necessary, and then print the final product. Of course the algorithmic problems can be changed numerous times to give different unique answers each time for use in large classes, different sections, or over time for instructors who want to keep the difficulty level the same for multiple copies of the same exam or have favorite questions that they want to use over and over again. The Microsoft Word version uses an endnote format that makes it very easy to create and reorder exams since (1) the questions and problems selected are automatically renumbered as you create an exam, and (2) the solutions to the problems selected are also “pulled out,” renumbered, and made available for review and printing. We personally resisted using multiple-choice tests for years, but due to our own growing class sizes (and pressure from adopters), we decided to assemble the best possible set of objective questions. Now that it is done, we are glad that we did, because we have become convinced that relatively short, objective questions really are the best way to construct and fairly grade an exam that covers a large amount of material and is given to a large number of students. Incidentally, it is very easy to make a set of short- answer essay questions or “regular” exam problems by removing the set of possible answers from selected questions and problems. We should also note that one of the biggest problems with multiple-choice exams is that the students themselves resist being tested in this manner. We sought and obtained the help of education (as opposed to finance) professionals, and the Test Bank now provides some useful information, including procedures for reducing the luck element and for setting curves, which improve the process and help justify it to students. For additional information regarding the Test Bank , read the preface provided in the Test Bank.
Preface ix
Another ancillary, called the Technology Supplement , contains calculator, spreadsheet, and presentation software tutorials. We found that many of our students were having trouble with the rather huge manuals now supplied with financial calculators. Those manuals have lots of useful information, but not all of it is necessary for the introductory course, and the size of the manuals was keeping students from getting started with their calculators. Therefore, we decided to write a 10- to 15-page set of instructions that would tell our students what they needed for the course. Eventually, we produced similar instructions for the four leading calculators (3 HPs and a TI); those instructions are contained in the Technology Supplement. We also decided to make available spreadsheet tutorials that students can use to learn the basics of spreadsheet modeling. Although the spreadsheet tutorials are based on Excel , the command structure of other spreadsheet software packages is sufficiently similar to permit the tutorials to be used with whatever software is available to students. These tutorials provide students with an introduction to spreadsheet modeling and its usefulness in financial management decision making. Then, students can learn on their own the skills necessary to create and/or use spreadsheet models. In addition to the calculator and spreadsheet tutorials, we’ve added a PowerPoint tutorial. This tutorial covers all the basics, and it will aid both students who must make presentations with PowerPoint and instructors who want to make slides for their lectures.
This innovative instructor’s resource system includes electronic versions of the Instructor’s Manual , Word Test Bank , chapter spreadsheet models, solutions to the end-of-chapter spreadsheet problems, and PowerPoint presentations. It is laid out so as to maximize accessibility and minimize search time.
Ancillary materials may be ordered by adopters through their local Cengage Learning sales representative or directly by calling Cengage Learning Customer Service at 1- 800 - 423 - 0563. The Study Guide , which is purchased by students from bookstores, can be ordered through your local bookstore. Cengage Learning will provide complimentary supplements or supplement packages to those adopters qualified under our adoption policy. Please contact your sales representative to learn how you may qualify. If as an adopter or potential user you receive supplements you do not need, please return it to your sales representative.
Preface xi
Finance 3403 Course Outline Spring 2009 Instructor: Joel F. Houston 321A STZ 392 - 7546 Office Hours: M W 10:30 A.M. – 11:30 A.M., and by appointment. Course Pre-requisite: ACG 2021 or an approved equivalent. Required materials E.F. Brigham and J. Houston, Fundamentals of Financial Management, Twelfth Edition. Course Packet for FIN 3403: Includes the syllabus, a calculator tutorial, detailed solutions to some of the end-of-chapter questions, and past exams. Calculator You must have a financial calculator to get through the course. Many of the exam problems involve complex arithmetic and financial calculations—and a financial calculator is necessary to solve them. I recommend either the HP-10BII or the HP-17BII. The 10BII does everything needed in the course. I will use one in class and explain how to work various problems with it, so you can follow lectures most easily if you use a 10BII. Moreover, the TAs will all know how to help you with a 10BII, but you might have trouble getting help with another calculator. The HP-17BII does more and costs more. Some argue that the 17BII is easier to use once you get used to it. Also, some students argue that the 17BII is better to have in some of the upper level Finance classes. Again, however, everything in this class can be done with a 10BII. As you will soon see, the ability to use a financial calculator is critical to success in the class. You are responsible for learning how to operate your financial calculator—and it is crucial that you are familiar with your calculator by the time we begin Chapter 5. Calculator tutorials for both the 10BII and 17BII are included in the Course Packet. Makes sure that you bring your calculator to class. Students may not share calculators on exams. Please be sure to check your batteries before exams. Optional materials Study Guide for Fundamentals of Financial Management, Twelfth Edition. This workbook contains learning objectives and outlines of the chapter plus questions and problems with detailed answers. It is useful when studying, especially when preparing for exams, but it is not required.
xii Preface Course objectives This course is designed for the general business student, not just the finance major. Since this is a survey course, we will cover a lot of ground. We will begin with a general overview and then go into more detail on several concepts, financial instruments, and techniques used in financial decision making. The chief objectives of the course are:
xiv Preface There will be NO makeup exams. If you have a valid excuse for missing either of the first two exams, your final grade will be based on your performance on the other two examinations—each of these examinations will count as 50% of your final grade. If you miss the final with a valid excuse, you must make it up the following term. If you do not have a valid excuse for missing an exam, it will count as a zero. In order to be excused from an exam, the student must contact me before the exam. If you cannot reach me, leave a message with the department secretaries at 392-0153. In most cases I will require students to provide me with additional documentation to justify why the student is unable to take the exam. Please note that a simple note indicating that you were seen at the health center the day of the exam does not, in and of itself provide sufficient documentation. Excuses will be granted if the student is unable to take the exam because of serious illness or injury, or a significant personal or professional commitment. Excuses will not be granted for social activities such as ski trips, cruises, and trips to sporting events (unless you are participating). The exams will all be cumulative. Most of the questions on each exam will be taken from chapters covered since the last exam, but some will come from earlier chapters. I will tell you several days before the exam, how many questions will come from each chapter. In general, the coverage will reflect the amount of time spent in class on the different chapters. For the exams you will be allowed to bring in a financial calculator, and an 8½ by 11 sheet of paper on which you can write, type, or copy anything that you like (yes you can write on both sides!) Included with the test will also be sheets that summarize the major formulas used in the text chapters. No other materials may be used during the exam. The exams will all be multiple choice. Each will have 10 conceptual questions and 10 numerical problems, for a total of 20 questions. Since the exams are multiple choice, you will receive no partial credit. This lowers scores considerably from what they would be if partial credit were given. Thus, if you get 50% correct, this does not mean that you know only 50% of the material—you probably know a lot more. Therefore, we curve the exams, and only the curved grade is meaningful.
Preface xv
Spring 2009 This schedule is extremely tentative, and subject to change. Any variations will be announced in class. Jan 6 Introduction/Chapter 1: An Overview of Financial Management Jan 7 Chapter 2: Financial Markets and Institutions Jan 8 Chapter 3 : Financial Statements, Cash Flow, and Taxes Jan 12 Chapter 3: Financial Statements, Cash Flow, and Taxes Jan 1 3 Chapter 4: Analysis of Financial Statements Jan 14 Chapter 4: Analysis of Financial Statements Jan 15 Chapter 4: Analysis of Financial Statements Jan 19 MARTIN LUTHER KING DAY (NO CLASS) Jan 20 Chapter 5: Time Value of Money Jan 21 Chapter 5: Time Value of Money Jan 22 Chapter 5: Time Value of Money Jan 26 Chapter 5 : Time Value of Money Jan 27 Chapter 6: Interest Rates Jan 28 Chapter 7: Bonds and Their Valuation Jan 29 Chapter 7: Bonds and Their Valuation Feb 2 Chapter 7: Bonds and Their Valuation and Review Feb 3 EXAM (NO CLASS) Feb 4 Chapter 8: Risk and Rates of Return Feb 5 Chapter 8: Risk and Rates of Return Feb 9 Chapter 8: Risk and Rates of Return Feb 10 Chapter 9: Stocks and Their Valuation Feb 11 Chapter 9: Stocks and Their Valuation Feb 12 Chapter 9: Stocks and Their Valuation Feb 16 Chapter 10: The Cost of Capital Feb 17 Chapter 10: The Cost of Capital Feb 18 Chapter 10: The Cost of Capital Feb 19 Chapter 11: The Basics of Capital Budgeting Feb 23 Chapter 11: The Basics of Capital Budgeting Feb 24 Chapter 11: The Basics of Capital Budgeting Feb 25 Chapter 12: Cash Flow Estimation and Risk Analysis Feb 26 Chapter 12: Cash Flow Estimation and Risk Analysis
Preface xvii
We present here some intermediate steps and final answers to end-of-chapter problems. Please note that your answer may differ slightly from ours due to rounding differences. Also, although we hope not, some of the problems may have more than one correct solution, depending on what assumptions are made in working the problem. Finally, many of the problems involve some verbal discussion as well as numerical calculations; this verbal material is not presented here. 3 - 1 $1,000,000. 3 - 2 $2,500,000. 3 - 3 $20,000,000. 3 - 4 a, possibly c. 3 - 5 $89,100,000. 3 - 6 a. $50,000. b. $115,000. 3 - 7 a. NWC 07 = $44,000; NWC 08 = $53,725. b. $10,675. c. CS = $50,000; RE = $32,025. 3 - 8 $12,681,482. 3 - 9 a. RE 07 = $1,374 million. b. $1,600 million. c. $15 million. d. $620 million. 3 - 10 a. NWC 07 = $210,000,000; NWC 08 = $192,000,000. b. FCF = $58,000,000. 4 - 1 AR = $800,000. 4 - 2 D/A = 58.33%. 4 - 3 TATO = 5; EM = 1.5. 4 - 4 M/B = 4.2667. 4 - 5 P/E = 12.0. 4 - 6 ROE = 8%. 4 - 7 $112,500. 4 - 8 15.31%. 4 - 9 $142.50. 4 - 10 NI/S = 2%; D/A = 40%. 4 - 11 TIE = 2.25. 4 - 12 TIE = 3.86. 4 - 13 ROE = 23.1%. 4 - 14 ROE = +5.54%; QR = 1.2. 4 - 15 7.2%. 4 - 16 a. 4 - 17 6.0. 4 - 18 $262,500. 4 - 19 $405,682. 4 - 20 $50. 4 - 21 A/P = $90,000; Inv = $90,000; FA = $138,000. 4 - 22 a. Current ratio = 1.98; DSO = 76.3 days; Total assets turnover = 1.7 0 ; Debt ratio = 61.9%. 4 - 23 a. TIE = 11; EBITDA coverage = 9.46; Profit margin = 3.40%; ROE = 8.57%. 5 - 1 FV 5 = $16, 105 .10. 5 - 2 PV = $1,292.10. 5 - 3 I/YR = 8.01%. 5 - 4 N = 11.01 years. 5 - 5 N = 11 years. 5 - 6 FVA 5 = $1,725.22; FVA5 Due = $1,845.99. 5 - 7 PV = $923.98; FV = $1,466.24. 5 - 8 PMT = $444.89; EAR = 12.6825%. 5 - 9 a. $ 530. b. $561.80. c. $471.70. d. $ 4 45. 5 - 10 a. $895.42. b. $1,552.92. c. $ 279 .20. d. $499.99; $867.13. 5 - 11 a. 14.87%. 5 - 12 a. 7%. b. 7%. c. 9%. d. 15%. 5 - 13 a. 10.24 years. b. 7.27 years. c. 4.19 years. d. 1 year. 5 - 14 a. $6,374.97. b. $1,105.13. c. $2,000. d(1). $7,012.47. d(2). $1,160.38. d(3). $2,000. 5 - 15 a. $2,457.83. b. $865.90. c. $2,000. d(1). $2,703.61. d(2). $909.19. d(3). $2,000. 5 - 16 PV7% = $1,428.57; PV14% = $714.29. 5 - 17 9%.
xviii Preface 5 - 18 a. Stream A: $1,251.25; Stream B: $1,300.32. b. PVA = $1,600; PVB = $1,600. 5 - 19 a. $423,504.48. b. $681,537.69. c(1). $46,393.42. c(2). $84,550.80. 5 - 20 Contract 2; PV = $10,717,847.14. 5 - 21 a. 30 - year payment plan; PV = $68,249,727. b. 10 - year payment plan; PV = $63,745,773. c. Lump sum; PV = $61,000,000. 5 - 22 a. $802.43. b. Int. 1 = $500; Princ. 1 = $302.43; Int. 2 = $484.88; Princ. 2 = $317.55. c. $984.88. 5 - 23 a. $881.17. b. $895.42. c. $903.06. d. $908.35. e. $910.97. 5 - 24 a. $279.20. b. $276.84. c. $443.72. 5 - 25 a. $5,272.32. b. $5,374.07. 5 - 26 $17,290.89; $19,734.26. 5 - 27 a. Bank A = 4%. 5 - 28 INOM = 7.8771%. 5 - 29 3%. 5 - 30 a. E = 63.74 yrs. old; K = 41.04 yrs. old. b. $35,825.33. 5 - 31 a. $35,459.51. b. $27,232.49. 5 - 32 $496.11. 5 - 33 $17,659.50. 5 - 34 a. PMT = $10,052.87. b. Yr 3: Int/Pymt = 9.09%; Princ/Pymt = 90.91%. 5 - 35 a. PMT = $34,294.65. b. PMT = $7,252.78. c. Balloon PMT = $94,189.69. 5 - 36 a. $5,308.12. b. $4,877.09. 5 - 37 a. 50 mos. b. 13 mos. c. $112.38. 5 - 38 $309,015. 5 - 39 $36,950. 5 - 40 $9,385. 6 - 1 b. Upward sloping yield curve. c. Inflation expected to increase. d. Borrow long term. 6 - 2 2.25%. 6 - 3 6%; 6.33%.
6 - 14 a. r 1 in Year 2 = 6%. b. I 1 = 2%; I 2 = 5%. 6 - 15 r 1 in Year 2 = 9%; I 2 = 7%. 6 - 16 14%. 6 - 17 7.2%. 6 - 18 a. r 1 = 9.20%; r 2 = 8.40%; r 3 = 7.6 0 %; r 4 = 7.30%; r 5 = 7.20%; r 10 = 6.60%; r 20 = 6.30%. 6 - 19 a. 8.20%. b. 10.20%. c. r 1 = 15.1%; r 2 = 13.2%; r 5 = 10.70%; r 10 = 10.1%; r 20 = 10.6%. 7 - 1 $935.82. 7 - 2 a. 7.22%. b. $988.46. 7 - 3 $1,028.60. 7 - 4 YTM = 6.62%; YTC = 6.49%; most likely yield = 6.49%. 7 - 5 a. VL at 5% = $1,518.98; VL at 8% = $1,171.19; VL at 12% = $863.78; VS at 5% = $1,047.62; VS at 8% = $1,018.52; VS at 12% = $982.14. 7 - 6 a. C 0 = $1,012.79; Z 0 = $693.04; C 1 = $1,010.02; Z 1 = $759.57; C 2 = $1,006.98; Z 2 = $832.49; C 3 = $1,003.65; Z 3 = $912.41; C 4 = $1,000.00; Z 4 = $1,000.00. 7 - 7 10 - year, 10% coupon = 6.75%; 10-year zero = 9.75%; 5-year zero = 4.76%; 30-year zero = 32.19%; $100 perpetuity = 14.29%. 7 - 8 15.03%. 7 - 9 a. YTM at $829 ≈ 15%; YTM at $1,104 = 6%. 7 - 10 a. YTM = 9.69%. b. CY = 8.875%; CGY = 0.816%. 7 - 11 a. YTM = 10. 2 7%; YTC = 10.15%; YTC. b. 10.91%. c. - 0. 6 4% (based on YTM); - 0.76% (based on YTC). 7 - 12 a. YTM = 8%; YTC = 6.1%. 7 - 13 VB = $974.42; YTM = 8.64%. 7 - 14 a. 5 years. b. YTC = 6.47%. 7 - 15 $987.87. 7 - 16 $1,067.95. 7 - 17 8.88%. 7 - 18 a. TI.GK = 6. 1 %; UPS = 3.65%.
xx Preface 10 - 8 rs = 16.51%; WACC = 12.79%. 10 - 9 WACC = 12.72%. 10 - 10 WACC = 11.4%. 10 - 11 wd = 20 %. 10 - 12 a. rs = 14.40%. b. WACC = 10.62%. c. Project A. 10 - 13 re = 17 .26%. 10 - 14 11.94%. 10 - 15 a. g = 9.10%. b. Payout = 50.39%. 10 - 16 a. g = 8%. b. D 1 = $2.81. c. rs = 15.81%. 10 - 17 a. g = 3%. b. EPS 1 = $5.562. 10 - 18 a. rd = 7%; rp = 10. 20 %; rs = 15.72%. b. WACC = 13.86%. c. Projects 1 and 2 will be accepted. 10 - 19 a. Projects A, C, E, F, and H should be accepted. b. Projects A, F, and H should be accepted; $ million. c. Projects A, C, F, and H should be accepted; $15 million. 10 - 20 a. rd(1 – T) = 5.4%; rs = 14.6%. b. WACC = 10 .92%. 11 - 1 NPV = $7, 486 .68. 11 - 2 IRR = 16%. 11 - 3 MIRR = 13 .89%. 11 - 4 4.34 years. 11 - 5 DPP = 6. 51 years. 11 - 6 a. 5%: NPVA = $3.52; NPVB = $2.87; 10%: NPVA = $0. 58 ; NPVB = $1.04; 15%: NPVA = - $1.91; NPVB = - $0.55. b. IRRA = 11.10%; IRRB = 13.18%. c. 5%: Choose A; 10%: Choose B; 15%: Do not choose either one. 11 - 7 a. NPVA = $866.16; IRRA = 19.86%; MIRRA = 17.12%; PaybackA = 3 yrs; Discounted Payback = 4.17 yrs; NPVB = $1,225. 25 ; IRRB = 16.80%; MIRRB = 15.51%; PaybackB = 3. yrs; Discounted Payback = 4.58 yrs. 11 - 8 a. Without mitigation: NPV = $12.10 million; With mitigation: NPV = $5.70 million. 11 - 9 a. Without mitigation: NPV = $15.95 million; With mitigation: NPV = - $11.25 million. 11 - 10 Project A; NPVA = $30.16. 11 - 11 NPVS = $ 448 .86; NPVL = $607.20; Accept Project L. 11 - 12 IRRL = 11.74%. 11 - 13 MIRRX = 13.59%. 11 - 14 a. HCC; PV of costs = - $805,009.87. c. HCC; PV of costs = - $767,607.75. LCC; PV of costs = - $686,627.14. 11 - 15 a. IRRA = 20%; IRRB = 16.7%; Crossover rate ≈ 16%. 11 - 16 a. NPVA = $14,486,808; NPVB = $11,156,893; IRRA = 15.03%; IRRB = 22.26%. b. Crossover rate ≈ 12%. 11 - 17 a. NPVA = $200.41; NPVB = $145.93. b. IRRA = 18.1%; IRRB = 24.0%. c. MIRRA = 15.10%; MIRRB = 17.03%. f. MIRRA = 18.05%; MIRRB = 20.48%. 11 - 18 a. No; PVOld = - $89,910.08; PVNew =
Preface xxi
12 - 20 a. - $98,500. b. CF 1 = $46,675; CF 2 = $52,975; CF 3 = $37,225; CF 4 = $33,025; CF 5 = $29,350. c. NPV = $34,073.20; Replace. 12 - 21 a. - $792,750. c. CF 1 = $206,000; CF 2 = $255,350; CF 3 = $201,888; CF 4 = $173,100; CF 5 = $168,988. d. NPV = $11,820; Purchase. 13 - 1 a. E(NPV) = - $446,998.50. b. E(NPV) = $2,806,803.16. c. $2,806,803.16. 13 - 2 Projects A, B, C, and D; Optimal capital budget = $3,900000. 13 - 3 Wait; NPV = $2,212,964. 13 - 4 No, NPV 3 = $1,307.29. 13 - 5 a. Accept A, B, C, D, and E; Capital budget = $5,250,000. b. Accept A, B, D, and E; Capital budget = $4,000,000. c. Accept B, C, D, E, F, and G; Capital budget = $6,000,000. 13 - 6 a. NPV = $4.6795 million. b. No, NPV = $3.2083 million. c. 0. 13 - 7 a. NPV = - $2,113,481.31. b. NPV = $1,973,037.39. c. E(NPV) = - $70,221.96. d. E(NPV) = $832,947.27. e. $1,116,071.43. 14 - 1 QBE = 500,000. 14 - 2 30% debt and 70% equity. 14 - 3 a. E(EPSC) = $5.10. 14 - 4 bU = 1.0435. 14 - 5 a. ROELL = 14.6%; ROEHL = 16.8%. b. ROELL = 16.5%. 14 - 6 a(1). - $ 60 ,000. b. QBE = 14,000. 14 - 7 No leverage: ROE = 10.5%; = 5.4%; CV = 0.51; 60% leverage: ROE = 13.7%; = 13.5%; CV = 0.99. 14 - 8 rs = 17%. 14 - 9 a. P 0 = $25. b. P 0 = $25.81. 14 - 10 a. FCA = $ 80 ,000; VA = $4.80/unit; PA = $8.00/unit; FCB = $120,000; VB = $4.00/unit; PB = $8.00/unit. c. 50,000 units. 14 - 11 a. 10.96%. b. 1.25. c. 1. 086957. d. 14.13%. e. 10. 76 %. 14 - 12 a. EPSOld = $2.04; New: EPSD = $4.74; EPSS = $3.27. b. 339, 750 units. c. QNew, Debt = 272 ,250 units. 14 - 13 Debt used: E(EPS) = $5.78; EPS = $1.05; E(TIE) = 3.49; Stock used: E(EPS) = $5.51; EPS = $0.85; E(TIE) = 6.00. 15 - 1 Payout = 55%. 15 - 2 P 0 = $60. 15 - 3 P 0 = $40. 15 - 4 D 0 = $3.44. 15 - 5 $3,250,000. 15 - 6 Payout = 31.39%. 15 - 7 a. $1.44. b. 3%. c. $1.20. d. 33 1/3%. 15 - 8 a. 12%. b. 18%. c. 6%; 18%. d. 6%. e. 28,800 new shares; $0.13 per share. 15 - 9 a(1). $3,960,000. a(2). $4,800,000. a(3). $9,360,000. a(4). Regular = $3,960,000; Extra = $5,400,000. c. 15%. d. 15%. 16 - 1 103.41 days; 86.99 days; $400,000; $32,000. 16 - 2 73 days; 30 days; $1,178,082. 16 - 3 $1,205,479; 20.5%; 22.4%; 10.47%; bank debt. 16 - 4 a. 83 days. b. $356,250. c. 4.87. 16 - 5 a. DSO = 28 days. b. A/R = $70,000. c. EFF% = 74.35%. d. EFF% = 44.86%. 16 - 6 a. 32 days. b. $288,000. c. $45,000. d(1). 30. d(2). $378,000. 16 - 7 a. 57.33 days. b(1). 2. b(2). 12%. c(1). 46.5 days. c(2). 2.1262. c(3). 12.76%. 16 - 8 a. ROET = 11.75%; ROEM = 10.80%; ROER = 9.16%. 16 - 9 a. $4,200,000. b. $420,000.