Homework #5 Suggested Solutions
|
|
- Garey Samuel Shaw
- 6 years ago
- Views:
Transcription
1 JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Homework #5 Suggested Solutions Problem 1. (9.4) Define the following terms: (a) Cost of debt (b) Cost of equity (c) After tax WACC (d) Equity beta (e) Asset beta (f) Pure play comparable (g) Certainty equivalent (a) The expected return on debt. If the debt has very low default risk, this is close to its yield to maturity. (b) The expected return on equity. (c) A weighted average of the cost of equity and the after tax cost of debt, where the weights are the relative market values of the firm s debt and equity. (d) The change in the return of the stock for each additional 1% change in the market return. (e) The change in the return on a portfolio of all the firm s securities (debt and equity) for each additional 1% change in the market return. (f) A company specializing in one activity that is similar to that of a division of a more diversified company. (g) A certain cash flow occurring at time t with the same present value as an uncertain cash flow at time t. Problem 2. (9.10) A project has a forecasted cash flow of $110 in year 1 and $121 in year 2. The interest rate is 5%, the estimated risk premium on the market is 10%, and the project has a beta of 0.5. If you use a constant risk adjusted discount rate, what is (a) The PV of the project? (b) The certainty equivalent cash flow in year 1 and year 2? (c) The ratio of the certainty equivalent cash flows to the expected cash flows in years 1 and 2? (a) P V = r f + β(r m r f ) (1 + r f + β(r m r f )) 2 = = $200. 1
2 (b) CEQ = CEQ 1 = $105; CEQ 2 = CEQ 2 2 = $ (c) Ratio 1 = = 0.95; Ratio 2 = = Problem 3. (9.11) The total market value of the common stock of the Okefenokee Real Estate Company is $6 million, and the total value of its debt is $4 million. The treasurer estimates that the beta of the stock is currently 1.5 and that the expected risk premium on the market is 6%. The Treasury bill rate is 4%. Assume for simplicity that Okefenokee debt is risk free and the company does not pay tax. (a) What is the required return on Okefenokee stock? (b) Estimate the company cost of capital. (c) What is the discount rate for an expansion of the company s present business? (d) Suppose the company wants to diversify into the manufacture of rose colored spectacles. The beta of unleveraged optical manufacturers is 1.2. Estimate the required return on Okefenokee s new venture. (a) r equity = r f + β(r m r f ) = = 0.13 or 13%. (b) r assets = D V r debt + E V r $4 million $6 million equity = = or 9.4%. $10 million $10 million (c) The cost of capital depends on the risk of the project being evaluated. If the risk of the project is similar to the risk of the other assets of the company, then the appropriate rate of return is the company cost of capital. Here, the appropriate discount rate is 9.4%. (d) r equity = r f + β(r m r f ) = = or 11.2%. r assets = D V r debt+ E V r $4 million $6 million equity = = or 8.32%. $10 million $10 million Problem 4. (9.12) Nero Violins has the following capital structure: (a) What is the firm s asset beta? (Hint: What is the beta of a portfolio of all the firm s securities?) (b) Assume that the CAPM is correct. What discount rate should Nero set for investments that expand the scale of its operations without changing its asset beta? Assume a risk free interest rate of 5% and a market risk premium of 6%. D (a) β assets = β debt V + β P preferred V + β C common V = 2
3 $100 million = 0 $439 million $40 million $439 million $299 million $439 million = (b) r = r f + β(r m r f ) = = or %. Problem 5. (20.1) Complete the following passage: A option gives its owner the opportunity to buy a stock at a specified price that is generally called the price. A option gives its owner the opportunity to sell stock at a specified price. Options that can be exercised only at maturity are called options. Call; exercise; put; European. Problem 6. (20.3) Suppose that you hold a share of stock and a put option on that share. What is the payoff when the option expires if (a) the stock price is below the exercise price? (b) the stock price is above the exercise price? (a) The exercise price of the put option (i.e., you d sell stock for the exercise price). (b) The value of the stock (i.e., you would throw away the put and keep the stock). Problem 7. (20.9) What is a call option worth if (a) the stock price is zero? (b) the stock price is extremely high relative to the exercise price? (a) Zero. (b) Stock price less the present value of the exercise price. Problem 8. (20.10) How does the price of a call option respond to the following changes, other things equal? Does the call price go up or down? (a) Stock price increases. (b) Exercise price is increased. (c) Risk free rate increases. (d) Expiration date of the option is extended. (e) Volatility of the stock price falls. (f) Time passes, so the option s expiration date comes closer. The call price (a) increases; (b) decreases; (c) increases; (d) increases; 3
4 (e) decreases; (f) decreases. Problem 9. (20.15) It is possible to buy three month call options and three month puts on stock Q. Both options have an exercise price of $60 and both are worth $10. If the interest rate is 5% a year, what is the stock price? (Hint: Use put call parity.) Let P 3 = the value of the three month put, C 3 = the value of the three month call, S = the market value of a share of stock, and EX = the exercise price of the options. Then, from put call parity: V alue of call + P resent value of exercise price = V alue of put + Share price, C 3 + EX (1 + r) 0.25 = P 3 + S. Since both options have an exercise price of $60 and both are worth $10, then: S = EX $60 = = $ (1 + r) Problem 10. (20.22) The common stock of Triangular File Company is selling at $90. A 26 week call option written on Triangular File s stock is selling for $8. The call s exercise price is $100. The risk free interest rate is 10% per year. (a) Suppose that puts on Triangular stock are not traded, but you want to buy one. How would you do it? (b) Suppose that puts are traded. What should a 26 week put with an exercise price of $100 sell for? (a) Use the put call parity relationship for European options: V alue of call + P resent value of exercise price = V alue of put + Share price. Solve for the value of the put: V alue of put = V alue of call + P V (EX) Share price. Thus, to replicate the payoffs for the put, you would buy a 26 week call with an exercise price of $100, invest the present value of the exercise price in a 26 week risk free security, and sell the stock short. (b) Using the put call parity relationship, the European put will sell for: Problem 11. (21.2) $8 + $ $90 = $ (a) Can the delta of a call option be greater than 1? Explain. 4
5 (b) Can it be less than zero? (c) How does the delta of a call change if the stock price rises? (d) How does it change if the risk of the stock increases? (a) No. The maximum delta is 1 when the ratio of stock price to exercise price is very high. (b) No. (c) Delta increases. (d) Delta increases. Problem 12. (21.5) Over the coming year Ragwort s stock price will halve to $50 from its current level of $100 or it will rise to $200. The one year interest rate is 10%. (a) In a risk neutral world what is the probability that Ragwort stock will rise in price? (b) Use the risk neutral method to value a one year call option on Ragwort stock with an exercise price of $100. (c) What is the option delta? (d) Use the replicating portfolio method to value this call. (e) If someone told you that in reality there is a 60% chance that Ragwort s stock price will rise to $200, would you change your view about the value of the option? Explain. (a) p (1 p) ( 50) = 10 p = (b) V alue of call = = $ spread of option prices (c) Delta = spread of stock prices = = (d) The replicating portfolio is the following: Current Possible Future Cash Flow Cash Flows Buy call $ $100 equals Buy shares $66.67 (= $100) $33.33 (= $50) $ (= $200) Borrow $30.3 $30.3 $33.33 (= $ ) $33.33 (= $ ) $ $100 (e) No. The true probability of a price rise is almost certainly higher than the risk neutral probability, but it does not help to value the option. 5
Exercise Session #5 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Date: 31/10/2017 Exercise Session #5 Suggested Solutions Problem 1. (9.21) A project has the following forecasted cash flows:
More informationHomework #6 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Homework #6 Suggested Solutions Problem 1. (22) Buffelhead s stock price is $220 and could halve or double in each six month
More informationJEM034 Corporate Finance Winter Semester 2017/2018
JEM034 Corporate Finance Winter Semester 2017/2018 Lecture #5 Olga Bychkova Topics Covered Today Risk and the Cost of Capital (chapter 9 in BMA) Understading Options (chapter 20 in BMA) Valuing Options
More informationMonitor: Christiam Miguel Gonzales-Chávez EPGE-FGV, 2nd Semester Questions Capital Budgeting and Risk
Professor: Victor Filipe Martins-da-Rocha Principles of Corporate Finance Monitor: Christiam Miguel Gonzales-Chávez EPGE-FGV, 2nd Semester 2009 Questions Capital Budgeting and Risk Question 1. The total
More informationMidterm Review. P resent value = P V =
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Midterm Review F uture value of $100 = $100 (1 + r) t Suppose that you will receive a cash flow of C t dollars at the end of
More informationHomework #4 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Homework #4 Suggested Solutions Problem 1. (7.2) The following table shows the nominal returns on the U.S. stocks and the rate
More informationMidterm Exam Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Date: 7/11/2017 Midterm Exam Suggested Solutions Problem 1. 4 points) Which of the following statements about the relationship
More informationExercise Session #1 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Date: 3/10/2017 Exercise Session #1 Suggested Solutions Problem 1. 2.10 The continuously compounded interest rate is 12%. a
More informationJEM034 Corporate Finance Winter Semester 2017/2018
JEM034 Corporate Finance Winter Semester 2017/2018 Lecture #1 Olga Bychkova Topics Covered Today Review of key finance concepts Present value (chapter 2 in BMA) Valuation of bonds (chapter 3 in BMA) Present
More informationHomework #2 Suggested Solutions
JEM034 Corporate Finance Winter Semester 017/018 Instructor: Olga Bychkova Homework # Suggested Solutions Problem 1. (4.1) Consider the following three stocks: (a) Stock A is expected to provide a dividend
More informationExercise Session #3 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Date: 17/10/2017 Exercise Session #3 Suggested Solutions Problem 1. (6.20 Marsha Jones has bought a used Mercedes horse transporter
More informationEcon 422 Eric Zivot Summer 2005 Final Exam Solutions
Econ 422 Eric Zivot Summer 2005 Final Exam Solutions This is a closed book exam. However, you are allowed one page of notes (double-sided). Answer all questions. For the numerical problems, if you make
More informationCHAPTER 20 Spotting and Valuing Options
CHAPTER 20 Spotting and Valuing Options Answers to Practice Questions The six-month call option is more valuable than the six month put option since the upside potential over time is greater than the limited
More informationJEM034 Corporate Finance Winter Semester 2017/2018
JEM034 Corporate Finance Winter Semester 2017/2018 Lecture #9 Olga Bychkova Topics Covered Today Does debt policy matter? (chapter 17 in BMA) How much should a corporation borrow? (chapter 18 in BMA) Debt
More informationHomework #3 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Homework #3 Suggested Solutions Problem 1. (6.6) When appraising mutually exclusive investments in plant and equipment, financial
More informationFutures and Forward Markets
Futures and Forward Markets (Text reference: Chapters 19, 21.4) background hedging and speculation optimal hedge ratio forward and futures prices futures prices and expected spot prices stock index futures
More informationCHAPTER 27: OPTION PRICING THEORY
CHAPTER 27: OPTION PRICING THEORY 27-1 a. False. The reverse is true. b. True. Higher variance increases option value. c. True. Otherwise, arbitrage will be possible. d. False. Put-call parity can cut
More informationExercise Session #8 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Date: 28/11/2017 Exercise Session #8 Suggested Solutions Problem 1. (14.2) The authorized share capital of the Alfred Cake Company
More informationAdvanced Corporate Finance. 5. Options (a refresher)
Advanced Corporate Finance 5. Options (a refresher) Objectives of the session 1. Define options (calls and puts) 2. Analyze terminal payoff 3. Define basic strategies 4. Binomial option pricing model 5.
More informationHomework Solutions - Lecture 2 Part 2
Homework Solutions - Lecture 2 Part 2 1. In 1995, Time Warner Inc. had a Beta of 1.61. Part of the reason for this high Beta was the debt left over from the leveraged buyout of Time by Warner in 1989,
More informationHomework #1 Suggested Solutions
JEM034 Corporate Finance Winter Semester 207/208 Instructor: Olga Bychkova Problem. 2.9 Homework # Suggested Solutions a The cost of a new automobile is $0,000. If the interest rate is 5%, how much would
More informationHomework #10 Suggested Solutions
JEM034 Corporate Finance Winter Semester 2017/2018 Instructor: Olga Bychkova Homework #10 Suggested Solutions Problem 1. (28.2) The following table gives abbreviated balance sheets and income statements
More informationDerivative Instruments
Derivative Instruments Paris Dauphine University - Master I.E.F. (272) Autumn 2016 Jérôme MATHIS jerome.mathis@dauphine.fr (object: IEF272) http://jerome.mathis.free.fr/ief272 Slides on book: John C. Hull,
More informationReview of Derivatives I. Matti Suominen, Aalto
Review of Derivatives I Matti Suominen, Aalto 25 SOME STATISTICS: World Financial Markets (trillion USD) 2 15 1 5 Securitized loans Corporate bonds Financial institutions' bonds Public debt Equity market
More information(S1) Soluções da Primeira Avaliação
Professor: Victor Filipe Monitor: Christiam Miguel EPGE-FGV Graduação em Ciências Econômicas Finanças Corporativas Setembro 2000 (S) Soluções da Primeira Avaliação Question (2.5 points). Casper has $200,000
More informationArbitrage Pricing Theory (APT)
Arbitrage Pricing Theory (APT) (Text reference: Chapter 11) Topics arbitrage factor models pure factor portfolios expected returns on individual securities comparison with CAPM a different approach 1 Arbitrage
More informationHomework Solutions - Lecture 2
Homework Solutions - Lecture 2 1. The value of the S&P 500 index is 1312.41 and the treasury rate is 1.83%. In a typical year, stock repurchases increase the average payout ratio on S&P 500 stocks to over
More informationImportant! Do not forget to write the ExamCode on each paper you hand in.
Corporate Finance 7.5 ECTS Ladokcode: 1FT1C The exam is given to: ExamCode: Date of exam: 015-10-8 Time: 14-19 Means of assistance: Calculator Total amount of point on exam: 40 points Requirements for
More informationHomework and Suggested Example Problems Investment Valuation Damodaran. Lecture 2 Estimating the Cost of Capital
Homework and Suggested Example Problems Investment Valuation Damodaran Lecture 2 Estimating the Cost of Capital Lecture 2 begins with a discussion of alternative discounted cash flow models, including
More informationB6302 B7302 Sample Placement Exam Answer Sheet (answers are indicated in bold)
B6302 B7302 Sample Placement Exam Answer Sheet (answers are indicated in bold) Part 1: Multiple Choice Question 1 Consider the following information on three mutual funds (all information is in annualized
More informationMathematics of Finance Final Preparation December 19. To be thoroughly prepared for the final exam, you should
Mathematics of Finance Final Preparation December 19 To be thoroughly prepared for the final exam, you should 1. know how to do the homework problems. 2. be able to provide (correct and complete!) definitions
More informationBusiness 3019 Corporate Finance Lakehead University
Business 3019 Corporate Finance Lakehead University Midterm Exam Suggested Answers Philippe Grégoire Winter 2006 1. (50 points) Weighted Average Cost of Capital Use the information in Table 1 to answer
More informationChapter 13 Return, Risk, and Security Market Line
1 Chapter 13 Return, Risk, and Security Market Line Konan Chan Financial Management, Spring 2018 Topics Covered Expected Return and Variance Portfolio Risk and Return Risk & Diversification Systematic
More informationEcon 422 Eric Zivot Fall 2005 Final Exam
Econ 422 Eric Zivot Fall 2005 Final Exam This is a closed book exam. However, you are allowed one page of notes (double-sided). Answer all questions. For the numerical problems, if you make a computational
More informationMidterm Review. P resent value = P V =
JEM034 Corporate Finance Winter Semester 2018/2019 Instructor: Olga Bychkova Midterm Review F uture value of $100 = $100 (1 + r) t Suppose that you will receive a cash flow of C t dollars at the end of
More informationEXAMINATION II: Fixed Income Valuation and Analysis. Derivatives Valuation and Analysis. Portfolio Management
EXAMINATION II: Fixed Income Valuation and Analysis Derivatives Valuation and Analysis Portfolio Management Questions Final Examination March 2016 Question 1: Fixed Income Valuation and Analysis / Fixed
More informationForward and Futures Contracts
FIN-40008 FINANCIAL INSTRUMENTS SPRING 2008 Forward and Futures Contracts These notes explore forward and futures contracts, what they are and how they are used. We will learn how to price forward contracts
More informationChapter 22: Real Options
Chapter 22: Real Options-1 Chapter 22: Real Options I. Introduction to Real Options A. Basic Idea B. Valuing Real Options Basic idea: can use any of the option valuation techniques developed for financial
More informationArbitrage Pricing Theory and Multifactor Models of Risk and Return
Arbitrage Pricing Theory and Multifactor Models of Risk and Return Recap : CAPM Is a form of single factor model (one market risk premium) Based on a set of assumptions. Many of which are unrealistic One
More information- P P THE RELATION BETWEEN RISK AND RETURN. Article by Dr. Ray Donnelly PhD, MSc., BComm, ACMA, CGMA Examiner in Strategic Corporate Finance
THE RELATION BETWEEN RISK AND RETURN Article by Dr. Ray Donnelly PhD, MSc., BComm, ACMA, CGMA Examiner in Strategic Corporate Finance 1. Introduction and Preliminaries A fundamental issue in finance pertains
More informationStochastic Models. Introduction to Derivatives. Walt Pohl. April 10, Department of Business Administration
Stochastic Models Introduction to Derivatives Walt Pohl Universität Zürich Department of Business Administration April 10, 2013 Decision Making, The Easy Case There is one case where deciding between two
More informationUniversity of Waterloo Final Examination
University of Waterloo Final Examination Term: Fall 2006 Student Name UW Student ID Number Course Abbreviation and Number AFM 372 Course Title Math Managerial Finance 2 Instructor Alan Huang Date of Exam
More informationEconomic Risk and Decision Analysis for Oil and Gas Industry CE School of Engineering and Technology Asian Institute of Technology
Economic Risk and Decision Analysis for Oil and Gas Industry CE81.98 School of Engineering and Technology Asian Institute of Technology January Semester Presented by Dr. Thitisak Boonpramote Department
More informationUnderstanding Financial Management: A Practical Guide Problems and Answers
Understanding Financial Management: A Practical Guide Problems and Answers Chapter 1 Raising Funds and Cost of Capital 1.1 Financial Markets 1. What is the difference between a financial market and a financial
More informationAny asset that derives its value from another underlying asset is called a derivative asset. The underlying asset could be any asset - for example, a
Options Week 7 What is a derivative asset? Any asset that derives its value from another underlying asset is called a derivative asset. The underlying asset could be any asset - for example, a stock, bond,
More informationMIDTERM EXAM SOLUTIONS
MIDTERM EXAM SOLUTIONS Finance 40610 Security Analysis Mendoza College of Business Professor Shane A. Corwin Fall Semester 2005 Monday, October 10, 2005 Multiple Choice (28 points) Choose the best answer
More informationDefine risk, risk aversion, and riskreturn
Risk and 1 Learning Objectives Define risk, risk aversion, and riskreturn tradeoff. Measure risk. Identify different types of risk. Explain methods of risk reduction. Describe how firms compensate for
More informationChapter 22: Real Options
Chapter 22: Real Options-1 Chapter 22: Real Options I. Introduction to Real Options A. Basic Idea => firms often have the ability to wait to make a capital budgeting decision => may have better information
More informationCorporate Finance, Module 21: Option Valuation. Practice Problems. (The attached PDF file has better formatting.) Updated: July 7, 2005
Corporate Finance, Module 21: Option Valuation Practice Problems (The attached PDF file has better formatting.) Updated: July 7, 2005 {This posting has more information than is needed for the corporate
More informationNotes of the Course Entrepreneurship, Finance and Innovation Diego Zunino, April 2011
Notes of the Course Entrepreneurship, Finance and Innovation Diego Zunino, April 2011 Valuation Process - Discounted Cash Flow Methodologies Valuation exists for two purposes: Fixing Share Price Estimating
More informationCIS March 2012 Diet. Examination Paper 2.3: Derivatives Valuation Analysis Portfolio Management Commodity Trading and Futures.
CIS March 2012 Diet Examination Paper 2.3: Derivatives Valuation Analysis Portfolio Management Commodity Trading and Futures Level 2 Derivative Valuation and Analysis (1 12) 1. A CIS student was making
More informationFinal Exam. 5. (21 points) Short Questions. Parts (i)-(v) are multiple choice: in each case, only one answer is correct.
Final Exam Spring 016 Econ 180-367 Closed Book. Formula Sheet Provided. Calculators OK. Time Allowed: 3 hours Please write your answers on the page below each question 1. (10 points) What is the duration
More informationNumber of pages: 8 Check that You have got them all! Pleae write your name and personal number on EACH paper.
Högskolan i Borås Institutionen för Handels och IT-högskolan (HIT) Written Exam: CORPORATE FINANCE Day and Time: 013-11-30 09.30-14.30 Number of pages: 8 Check that You have got them all! The exam is on
More informationu (x) < 0. and if you believe in diminishing return of the wealth, then you would require
Chapter 8 Markowitz Portfolio Theory 8.7 Investor Utility Functions People are always asked the question: would more money make you happier? The answer is usually yes. The next question is how much more
More informationJEM034 Corporate Finance Winter Semester 2017/2018
JEM034 Corporate Finance Winter Semester 2017/2018 Lecture #7 Olga Bychkova Topics Covered Today Risk Management (chapter 26 in BMA) Hedging with Forwards and Futures Futures and Spot Contracts Swaps Hedging
More informationThe exam will be closed book and notes; only the following calculators will be permitted: TI-30X IIS, TI-30X IIB, TI-30Xa.
21-270 Introduction to Mathematical Finance D. Handron Exam #1 Review The exam will be closed book and notes; only the following calculators will be permitted: TI-30X IIS, TI-30X IIB, TI-30Xa. 1. (25 points)
More information] = [1 + (1 0.3)(10/70)] =
7.1. Sicily Pharmaceuticals has $10 million in debt and $70 million in equity. Its tax rate is 30%, cost of debt 8%, and beta 1.5. The riskless rate is 5% and the expected return on the market 12%. Sicily
More information1 Asset Pricing: Replicating portfolios
Alberto Bisin Corporate Finance: Lecture Notes Class 1: Valuation updated November 17th, 2002 1 Asset Pricing: Replicating portfolios Consider an economy with two states of nature {s 1, s 2 } and with
More information2 The binomial pricing model
2 The binomial pricing model 2. Options and other derivatives A derivative security is a financial contract whose value depends on some underlying asset like stock, commodity (gold, oil) or currency. The
More informationECON4510 Finance Theory Lecture 10
ECON4510 Finance Theory Lecture 10 Diderik Lund Department of Economics University of Oslo 11 April 2016 Diderik Lund, Dept. of Economics, UiO ECON4510 Lecture 10 11 April 2016 1 / 24 Valuation of options
More informationChapter 12 Cost of Capital
Chapter 12 Cost of Capital 1. The return that shareholders require on their investment in the firm is called the: A) Dividend yield. B) Cost of equity. C) Capital gains yield. D) Cost of capital. E) Income
More informationPut-Call Parity. Put-Call Parity. P = S + V p V c. P = S + max{e S, 0} max{s E, 0} P = S + E S = E P = S S + E = E P = E. S + V p V c = (1/(1+r) t )E
Put-Call Parity l The prices of puts and calls are related l Consider the following portfolio l Hold one unit of the underlying asset l Hold one put option l Sell one call option l The value of the portfolio
More informationB6302 Sample Placement Exam Academic Year
Revised June 011 B630 Sample Placement Exam Academic Year 011-01 Part 1: Multiple Choice Question 1 Consider the following information on three mutual funds (all information is in annualized units). Fund
More informationM&M Propositions and the BPM
M&M Propositions and the BPM Ogden, Jen and O Connor, Chapter 2 Bus 3019, Winter 2004 Outline of the Lecture Modigliani and Miller Propositions With Taxes Without Taxes The Binomial Pricing Model 2 An
More informationOptions. Investment Management. Fall 2005
Investment Management Fall 2005 A call option gives its holder the right to buy a security at a pre-specified price, called the strike price, before a pre-specified date, called the expiry date. A put
More informationBusiness Midterm Practice Questions
Business 3019 Midterm Practice Questions Here are some questions that you may find useful to review before the exam. You should also try the questions at the end of each chapter in the textbook. Answers
More informationGiven the following information, what is the WACC for the following firm?
Chapter 1 Cost of Capital The required return for an asset is a function of the risk of the asset and the return to the investor is the same as the cost to the company. The firms cost of capital provides
More informationSOLUTIONS 913,
Illinois State University, Mathematics 483, Fall 2014 Test No. 3, Tuesday, December 2, 2014 SOLUTIONS 1. Spring 2013 Casualty Actuarial Society Course 9 Examination, Problem No. 7 Given the following information
More informationName:... ECO 4368 Summer 2016 Midterm 2. There are 4 problems and 8 True-False questions. TOTAL POINTS: 100
Name:... ECO 4368 Summer 2016 Midterm 2 There are 4 problems and 8 True-False questions. TOTAL POINTS: 100 Question 1 (20 points): A company with a stock price P 0 = $108 had a constant dividend growth
More informationForwards, Futures, Options and Swaps
Forwards, Futures, Options and Swaps A derivative asset is any asset whose payoff, price or value depends on the payoff, price or value of another asset. The underlying or primitive asset may be almost
More informationChapter 17. Options and Corporate Finance. Key Concepts and Skills
Chapter 17 Options and Corporate Finance Prof. Durham Key Concepts and Skills Understand option terminology Be able to determine option payoffs and profits Understand the major determinants of option prices
More informationTEACHING NOTE 98-04: EXCHANGE OPTION PRICING
TEACHING NOTE 98-04: EXCHANGE OPTION PRICING Version date: June 3, 017 C:\CLASSES\TEACHING NOTES\TN98-04.WPD The exchange option, first developed by Margrabe (1978), has proven to be an extremely powerful
More informationMULTIPLE CHOICE. 1 (5) a b c d e. 2 (5) a b c d e TRUE/FALSE 1 (2) TRUE FALSE. 3 (5) a b c d e 2 (2) TRUE FALSE. 4 (5) a b c d e 3 (2) TRUE FALSE
Name: M339D=M389D Introduction to Actuarial Financial Mathematics University of Texas at Austin Sample In-Term Exam II Instructor: Milica Čudina Notes: This is a closed book and closed notes exam. The
More informationThe Hurdle Rate The minimum rate of return that must be met for a company to undertake a particular project
Risk, Return and Capital Budgeting The Hurdle Rate The minimum rate of return that must be met for a company to undertake a particular project The Weighted Average Cost of Capital (WACC) -The hurdle rate
More informationRisk, Return and Capital Budgeting
Risk, Return and Capital Budgeting For 9.220, Term 1, 2002/03 02_Lecture15.ppt Student Version Outline 1. Introduction 2. Project Beta and Firm Beta 3. Cost of Capital No tax case 4. What influences Beta?
More informationThe CAPM. (Welch, Chapter 10) Ivo Welch. UCLA Anderson School, Corporate Finance, Winter December 16, 2016
1/1 The CAPM (Welch, Chapter 10) Ivo Welch UCLA Anderson School, Corporate Finance, Winter 2017 December 16, 2016 Did you bring your calculator? Did you read these notes and the chapter ahead of time?
More informationProblem Set. Solutions to the problems appear at the end of this document.
Problem Set Solutions to the problems appear at the end of this document. Unless otherwise stated, any coupon payments, cash dividends, or other cash payouts delivered by a security in the following problems
More informationOptions Markets: Introduction
17-2 Options Options Markets: Introduction Derivatives are securities that get their value from the price of other securities. Derivatives are contingent claims because their payoffs depend on the value
More informationMeasuring Interest Rates
Measuring Interest Rates Economics 301: Money and Banking 1 1.1 Goals Goals and Learning Outcomes Goals: Learn to compute present values, rates of return, rates of return. Learning Outcomes: LO3: Predict
More informationChapter 23: Choice under Risk
Chapter 23: Choice under Risk 23.1: Introduction We consider in this chapter optimal behaviour in conditions of risk. By this we mean that, when the individual takes a decision, he or she does not know
More informationQF101 Solutions of Week 12 Tutorial Questions Term /2018
QF0 Solutions of Week 2 Tutorial Questions Term 207/208 Answer. of Problem The main idea is that when buying selling the base currency, buy sell at the ASK BID price. The other less obvious idea is that
More informationChapter 10. Chapter 10 Topics. What is Risk? The big picture. Introduction to Risk, Return, and the Opportunity Cost of Capital
1 Chapter 10 Introduction to Risk, Return, and the Opportunity Cost of Capital Chapter 10 Topics Risk: The Big Picture Rates of Return Risk Premiums Expected Return Stand Alone Risk Portfolio Return and
More informationSessions 11 and 12: Capital Budgeting and Risk
6049 Lecture Slides, Academic Year 2010/2011 Sessions 11 and 12: Capital Budgeting and Risk Hannes Wagner 6049-1- 1 Topics Covered Cost of capital for projects and firms Measuring the cost of equity Setting
More information4. D Spread to treasuries. Spread to treasuries is a measure of a corporate bond s default risk.
www.liontutors.com FIN 301 Final Exam Practice Exam Solutions 1. C Fixed rate par value bond. A bond is sold at par when the coupon rate is equal to the market rate. 2. C As beta decreases, CAPM will decrease
More informationChapter 14 The Cost of Capital
Topics Covered Chapter 14 The Cost of Capital Konan Chan Financial Management, Fall 2018 Cost of capital Weighted average cost of capital (WACC) Capital structure Required rates of return Divisional costs
More informationUNIVERSITY OF TORONTO Joseph L. Rotman School of Management SOLUTIONS. C (1 + r 2. 1 (1 + r. PV = C r. we have that C = PV r = $40,000(0.10) = $4,000.
UNIVERSITY OF TORONTO Joseph L. Rotman School of Management RSM332 PROBLEM SET #2 SOLUTIONS 1. (a) The present value of a single cash flow: PV = C (1 + r 2 $60,000 = = $25,474.86. )2T (1.055) 16 (b) The
More informationRETURN AND RISK: The Capital Asset Pricing Model
RETURN AND RISK: The Capital Asset Pricing Model (BASED ON RWJJ CHAPTER 11) Return and Risk: The Capital Asset Pricing Model (CAPM) Know how to calculate expected returns Understand covariance, correlation,
More information12. Cost of Capital. Outline
12. Cost of Capital 0 Outline The Cost of Capital: What is it? The Cost of Equity The Costs of Debt and Preferred Stock The Weighted Average Cost of Capital Economic Value Added 1 1 Required Return The
More informationAFM 371 Winter 2008 Chapter 16 - Capital Structure: Basic Concepts
AFM 371 Winter 2008 Chapter 16 - Capital Structure: Basic Concepts 1 / 24 Outline Background Capital Structure in Perfect Capital Markets Examples Leverage and Shareholder Returns Corporate Taxes 2 / 24
More informationThe Cost of Capital. Principles Applied in This Chapter. The Cost of Capital: An Overview
The Cost of Capital Chapter 14 Principles Applied in This Chapter Principle 1: Money Has a Time Value. Principle 2: There is a Risk-Return Tradeoff. Principle 3: Cash Flows Are the Source of Value. Principle
More informationThe Cost of Capital. Chapter 14
The Cost of Capital Chapter 14 Principles Applied in This Chapter Principle 1: Money Has a Time Value. Principle 2: There is a Risk-Return Tradeoff. Principle 3: Cash Flows Are the Source of Value. Principle
More informationJEM034 Corporate Finance Winter Semester 2017/2018
JEM034 Corporate Finance Winter Semester 2017/2018 Lecture #8 Olga Bychkova Topics Covered Today Overview of corporate financing (chapter 14 in BMA) How corporations issue securities (chapter 15 in BMA)
More informationWeb Extension: Abandonment Options and Risk-Neutral Valuation
19878_14W_p001-016.qxd 3/13/06 3:01 PM Page 1 C H A P T E R 14 Web Extension: Abandonment Options and Risk-Neutral Valuation This extension illustrates the valuation of abandonment options. It also explains
More informationNotes: This is a closed book and closed notes exam. The maximal score on this exam is 100 points. Time: 75 minutes
M339D/M389D Introduction to Financial Mathematics for Actuarial Applications University of Texas at Austin Sample In-Term Exam II - Solutions Instructor: Milica Čudina Notes: This is a closed book and
More informationFinancial Derivatives Section 1
Financial Derivatives Section 1 Forwards & Futures Michail Anthropelos anthropel@unipi.gr http://web.xrh.unipi.gr/faculty/anthropelos/ University of Piraeus Spring 2018 M. Anthropelos (Un. of Piraeus)
More informationSAMPLE FINAL QUESTIONS. William L. Silber
SAMPLE FINAL QUESTIONS William L. Silber HOW TO PREPARE FOR THE FINAL: 1. Study in a group 2. Review the concept questions in the Before and After book 3. When you review the questions listed below, make
More informationE120: Principles of Engineering Economics Part 1: Concepts. (20 points)
E120: Principles of Engineering Economics Final Exam December 14 th, 2004 Instructor: Professor Shmuel Oren Part 1: Concepts. (20 points) 1. Circle the only correct answer. 1.1 Which of the following statements
More informationHomework #4 BUSI 408 Summer II 2013
Homework #4 BUSI 408 Summer II 2013 This assignment is due 19 July 2013 at the beginning of class. Answer each question with numbers rounded to two decimal places. For relevant questions, identify the
More informationZ I C A ZAMBIA INSTITUTE OF CHARTERED ACCOUNTANTS CHARTERED ACCOUNTANTS EXAMINATIONS LICENTIATE LEVEL L6: CORPORATE FINANCIAL MANAGEMENT
Z I C A ZAMBIA INSTITUTE OF CHARTERED ACCOUNTANTS CHARTERED ACCOUNTANTS EXAMINATIONS LICENTIATE LEVEL L6: CORPORATE FINANCIAL MANAGEMENT SERIES: DECEMBER 2011 TOTAL MARKS 100 TIME ALLOWED: THREE (3) HOURS
More informationFixed-Income Options
Fixed-Income Options Consider a two-year 99 European call on the three-year, 5% Treasury. Assume the Treasury pays annual interest. From p. 852 the three-year Treasury s price minus the $5 interest could
More information