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
Videos
Textbook Question
Chapter 25, Problem 18QP
Equity as an Option [LO4] Frostbite Thermalwear has a zero coupon bond issue outstanding with a face value of $25,000 that matures in one year. The current market value of the firm’s assets is $28,300. The standard deviation of the return on the firm’s assets is 38 percent per year, and the annual risk-free rate is 6 percent per year, compounded continuously. Based on the Black–Scholes model, what is the market value of the firm’s equity and debt? What is the firm’s continuously compounded cost of debt?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Sunburn Sunscreen has a zero coupon bond issue outstanding with a face value of
$11,000 that matures in one year. The current market value of the firm's assets is $13,100.
The standard deviation of the return on the firm's assets is 29 percent per year, and the
annual risk-free rate is 5 percent per year, compounded continuously. Based on the
Black-Scholes model, what is the market value of the firm's equity and debt? (Do not
round intermediate calculations and round your answers to 2 decimal places, e.g.,
32.16.)
Equity
Debt
2
You are thinking about buying the debt in a private firm that has very similar risk and capital structure as SleazCo. SleazeCo has zero-coupon debt that requires them to pay back $160,000,000 three years from now. Given this loan, the market value of SleazCo’s equity is $25,000,000 and has a volatility of 80% per year. The annual risk-free rate is .02 at all maturities. SleazeCo has no other debt. What are the estimates of the following values for SleazCo based on the Merton Model?
Volatility of Assets () = _______________
Value of Assets (V0) = _________________
Market Value of the Debt now = _________________
Value of Debt if it is risk free = _________________
Expected Loss from default = __________________
Probability of default on the debt = _______________
Expected recovery rate on the debt = ______________
Chapter 25 Solutions
Fundamentals of Corporate Finance
Ch. 25.1 - Prob. 25.1ACQCh. 25.1 - Prob. 25.1BCQCh. 25.2 - Prob. 25.2ACQCh. 25.2 - Prob. 25.2BCQCh. 25.3 - Prob. 25.3ACQCh. 25.3 - Prob. 25.3BCQCh. 25.4 - Why do we say that the equity in a leveraged firm...Ch. 25.4 - Prob. 25.4BCQCh. 25.5 - Prob. 25.5ACQCh. 25.5 - Prob. 25.5BCQ
Ch. 25 - Prob. 25.1CTFCh. 25 - Prob. 25.3CTFCh. 25 - Prob. 1CRCTCh. 25 - Prob. 2CRCTCh. 25 - Prob. 3CRCTCh. 25 - Prob. 4CRCTCh. 25 - Prob. 5CRCTCh. 25 - Prob. 6CRCTCh. 25 - Prob. 7CRCTCh. 25 - Prob. 8CRCTCh. 25 - Prob. 9CRCTCh. 25 - Prob. 10CRCTCh. 25 - Prob. 1QPCh. 25 - Prob. 2QPCh. 25 - PutCall Parity [LO1] A stock is currently selling...Ch. 25 - PutCall Parity [LO1] A put option that expires in...Ch. 25 - PutCall Parity [LO1] A put option and a call...Ch. 25 - PutCall Parity [LO1] A put option and call option...Ch. 25 - BlackScholes [LO2] What are the prices of a call...Ch. 25 - Delta [LO2] What are the deltas of a call option...Ch. 25 - BlackScholes and Asset Value [LO4] You own a lot...Ch. 25 - BlackScholes and Asset Value [L04] In the previous...Ch. 25 - Time Value of Options [LO2] You are given the...Ch. 25 - PutCall Parity [LO1] A call option with an...Ch. 25 - BlackScholes [LO2] A call option matures in six...Ch. 25 - BlackScholes [LO2] A call option has an exercise...Ch. 25 - BlackScholes [LO2] A stock is currently priced at...Ch. 25 - Prob. 16QPCh. 25 - Equity as an Option and NPV [LO4] Suppose the firm...Ch. 25 - Equity as an Option [LO4] Frostbite Thermalwear...Ch. 25 - Prob. 19QPCh. 25 - Prob. 20QPCh. 25 - Prob. 21QPCh. 25 - Prob. 22QPCh. 25 - BlackScholes and Dividends [LO2] In addition to...Ch. 25 - PutCall Parity and Dividends [LO1] The putcall...Ch. 25 - Put Delta [LO2] In the chapter, we noted that the...Ch. 25 - BlackScholes Put Pricing Model [LO2] Use the...Ch. 25 - BlackScholes [LO2] A stock is currently priced at...Ch. 25 - Delta [LO2] You purchase one call and sell one put...Ch. 25 - Prob. 1MCh. 25 - Prob. 2MCh. 25 - Prob. 3MCh. 25 - Prob. 4MCh. 25 - Prob. 5MCh. 25 - Prob. 6M
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
- Wolfrum Technology (WT) has no debt. Its assets will be worth $467 million one year from now if the economy is strong, but only $295 million in one year if the economy is weak. Both events are equally likely. The market value today of its assets is $291 million. a. What is the expected return of WT stock without leverage? b. Suppose the risk-free interest rate is 5%. If WT borrows $139 million today at this rate and uses the proceeds to pay an immediate cash dividend, what will be the market value of its equity just after the dividend is paid, according to MM? c. What is the expected return of WT stock after the dividend is paid in part (b)? a. The unievered expected return of WT stock is (Round to two decimal places)arrow_forwardLiu Industries is a highly levered firm. Suppose there is a large probability that Liu will default on its debt. The value of Lius operations is 4 million. The firms debt consists of 1-year, zero coupon bonds with a face value of 2 million. Lius volatility, , is 0.60, and the risk-free rate rRF is 6%. Because Lius debt is risky, its equity is like a call option and can be valued with the Black-Scholes Option Pricing Model (OPM). (See Chapter 8 for details of the OPM.) (1) What are the values of Lius stock and debt? What is the yield on the debt? (2) What are the values of Lius stock and debt for volatilities of 0.40 and 0.80? What are yields on the debt? (3) What incentives might the manager of Liu have if she understands the relationship between equity value and volatility? What might debtholders do in response?arrow_forwardYou Answered orrect Answer A company is promising a coupon payment of $46 in 2.03 years. A risk free government bond of the same maturity is yielding 1.66% per year. The credit spread for the promised payment by the company is 1.24% per year. Both the yield and the spread are stated on a continuously compounded basis. What is the present value of the expected loss on the promised payment? 1.11 margin of error +/-50arrow_forward
- Suppose that we have a firm whose current value is Kshs 1000 and that (given a multiplicative stochastic process) its value could go up by 12.75% or down by 11.31% and a standard deviation of 12% per annum and the risk free rate is 8%. The equity of this firm is subordinated to debt that has a face value of Kshs. 800 maturing in three years and that pays no coupon. What is the value of an American call option written on the equity if its exercise price is Kshs. 400 and its maturity is three years?arrow_forward3arrow_forwardThe market expected return is 14% with a standard deviation of 18%. The risk-free rate is 6%. Security XYZ has just paid a dividend of $1 and has a current price of $13.95. What is the beta of Security XYZ if its dividend is expected to grow at 6% per year indefinitely? ○ 0.90 ○ 0.85 O 0.95 O 1.05arrow_forward
- You are bullish on GCB stock. The current market price is GHS5.00 per share, and you have GHS5,000 of your own to invest. You borrow an additional GHS5,000 from your broker at an interest rate of 12% per year and invest the GHS10,000 in the stock. a.What will be your rate of return if the price of GCB stock goes up by 20% during the next year? b.How far does the stock of GCB stock have to fall for you to get a margin call if the maintenance margin is 30%.arrow_forward2. Warwick plc's current stock price is £2.04. European call and European put options, both with one year to maturity and the same strike price of £2.00 are trading at £0.18 and £0.11 respectively. Warwick plc is not expected to pay a dividend over the next year. The annualised continuously compounded risk-free rate is 4% per annum. Which of the following strategies would realise an arbitrage profit? * Go long the European call option, short the European put option, long the stock and borrow at the risk-free rate. Go long the European call option, short the European put option, short the stock and lend at the risk-free rate. Go short the European call option, long the European put option, long the stock and borrow at the risk-free rate. Go short the European call option, long the European put option, short the stock and lend at the risk-free rate. There is no arbitrage.arrow_forwardAssume that the dividend payout ratio will be 75 percent when the rate on long-term government bonds falls to 8 percent. Because investors are becoming more risk averse, the equity risk premium will rise to 7 percent and investors will require a 15 percent return. The return on equity will be 12 percent. To what price will the market rise if the earnings expectation is $32.00?arrow_forward
- Q3: The beta for the DAK Corporation is 1.29. If the yield on 30-year T-bonds is 5% (risk-free rate), and the long-term average return on the S&P 500 is 12%. The DAK Corporation is expecting dividends to grow at a 20% rate for the next two years. The corporation just paid a $2 dividend, and the next dividend will be paid one year from now. After two years of rapid growth, dividends are expected to grow at a constant rate of 9% forever. (1) Calculate the required rate of return for DAK corporation.< (2) what is the value of the DAK Corporation common stock today? (3) If you observe that the stock price of DAK is currently at $80. Should you buy or sell the stock ? <arrow_forward2. Leamington plc stock is currently trading at £9.20 and has volatility of returns of 30% per annum. Leamington plc is not expected to pay a dividend in the foreseeable future. The riskless rate is 3.5% per annum, continuously compounded. Consider a European call option on Leamington plc stock with strike price £9.00 and time to maturity three months. The Delta for the European call option is * O O O O 0.1 3 0.2 8 0.5 0 0.5 5 0.6arrow_forwardD4) Consider a firm with zero-coupon bonds that mature in 1 year and combined face value of $100,000. The market value of the firm's assets is $95,000 and the standard deviation of returns of the assets is 15%. The risk-free rate is continuously compounded 6%. What is the value of the equity? Answer: $6,076 How to get this answer please!arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Accounting for Derivatives Comprehensive Guide; Author: WallStreetMojo;https://www.youtube.com/watch?v=9D-0LoM4dy4;License: Standard YouTube License, CC-BY
Option Trading Basics-Simplest Explanation; Author: Sky View Trading;https://www.youtube.com/watch?v=joJ8mbwuYW8;License: Standard YouTube License, CC-BY