Corporate Finance (The Mcgraw-hill/Irwin Series in Finance Insurance and Real Estate)
11th Edition
ISBN: 9781259295881
Author: Ross
Publisher: MCG
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Textbook Question
Chapter 22, Problem 20QP
Black-Scholes A stock is currently priced at $35. A call option with an expiration of one year has an exercise price of $50. The risk-free rate is 7 percent per year, compounded continuously, and the standard deviation of the stock’s return is infinitely large. What is the price of the call option?
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Suppose Carol's stock price is currently $20. If the standard deviation of the continuously compounded returns (σ) on a stock is 60 percent per year. The annual risk-free rate is 12%, compounded every 6 months. A. Using one-step binomial tree, what is the current value of a six-month call option with an exercise price of $25?B. Using two-step binomial tree, what is the current value of a one-year put option with an exercise price of $25?
Suppose the stock price is 40 and we need to price a call option with a strike of 45 maturing in 4 months. The stock is not expected to pay dividends. The continuously-compounded riskfree rate is 3%/year, the mean return on the stock is 7%/year, and the standard deviation of the stock return is 40%/year?
Solve it in excel and share the formula sheet.
Suppose the stock price is 40 and we need to price a put option with a strike of 45 maturing in 4 months. The stock is not expected to pay dividends. The continuously-compounded riskfree rate is 3%/year, the mean return on the stock is 7%/year, and the standard deviation of the stock return is 40%/year.
Solve it on excel and share the formula sheet.
Chapter 22 Solutions
Corporate Finance (The Mcgraw-hill/Irwin Series in Finance Insurance and Real Estate)
Ch. 22 - Options What is a call option? A put option? Under...Ch. 22 - Options Complete the following sentence for each...Ch. 22 - American and European Options What is the...Ch. 22 - Intrinsic Value What is the intrinsic value of a...Ch. 22 - Option Pricing You notice that shares of stock in...Ch. 22 - Options and Stock Risk If the risk of a stock...Ch. 22 - Option Risk True or false: The unsystematic risk...Ch. 22 - Prob. 8CQCh. 22 - Option Price and Interest Rates Suppose the...Ch. 22 - Contingent Liabilities When you take out an...
Ch. 22 - Options and Expiration Dates What is the impact of...Ch. 22 - Options and Stock Price Volatility What is the...Ch. 22 - Insurance as an Option An insurance policy is...Ch. 22 - Equity as a Call Option It is said that the equity...Ch. 22 - Prob. 15CQCh. 22 - Put Call Parity You find a put and a call with the...Ch. 22 - Put- Call Parity A put and a call have the same...Ch. 22 - Put- Call Parity One thing put-call parity tells...Ch. 22 - Two-State Option Pricing Model T-bills currently...Ch. 22 - Understanding Option Quotes Use the option quote...Ch. 22 - Calculating Payoffs Use the option quote...Ch. 22 - Two-State Option Pricing Model The price of Ervin...Ch. 22 - Two-State Option Pricing Model The price of Tara,...Ch. 22 - Put-Call Parity A stock is currently selling for...Ch. 22 - Put-Call Parity A put option that expires in six...Ch. 22 - Put-Call Parity A put option and a call option...Ch. 22 - Pot-Call Parity A put option and a call option...Ch. 22 - Black-Scholes What are the prices of a call option...Ch. 22 - Black-Scholes What are the prices of a call option...Ch. 22 - Delta What are the deltas of a call option and a...Ch. 22 - Prob. 13QPCh. 22 - Prob. 14QPCh. 22 - Time Value of Options You are given the following...Ch. 22 - Prob. 16QPCh. 22 - Prob. 17QPCh. 22 - Prob. 18QPCh. 22 - Black-Scholes A call option has an exercise price...Ch. 22 - Black-Scholes A stock is currently priced at 35. A...Ch. 22 - Equity as an Option Sunburn Sunscreen has a zero...Ch. 22 - Equity as an Option and NPV Suppose the firm in...Ch. 22 - Equity as an Option Frostbite Thermalwear has a...Ch. 22 - Mergers and Equity as an Option Suppose Sunburn...Ch. 22 - Equity as an Option and NPV A company has a single...Ch. 22 - Two-State Option Pricing Model Ken is interested...Ch. 22 - Two-State Option Pricing Model Rob wishes to buy a...Ch. 22 - Two-State Option Pricing Model Maverick...Ch. 22 - Prob. 29QPCh. 22 - Prob. 30QPCh. 22 - Prob. 31QPCh. 22 - Two-State Option Pricing and Corporate Valuation...Ch. 22 - Black-Scholes and Dividends In addition to the...Ch. 22 - Prob. 34QPCh. 22 - Prob. 35QPCh. 22 - Prob. 36QPCh. 22 - Prob. 37QPCh. 22 - Prob. 38QPCh. 22 - Prob. 1MCCh. 22 - Prob. 2MCCh. 22 - Prob. 3MCCh. 22 - Prob. 4MCCh. 22 - Prob. 5MC
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- Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?arrow_forwardBinomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)arrow_forwardA stock is trading at $80 per share. The stock is expected to have a yearend dividend of $4 per share (D1 = $4), and it is expected to grow at some constant rate, g, throughout time. The stock’s required rate of return is 14% (assume the market is in equilibrium with the required return equal to the expected return). What is your forecast of gL?arrow_forward
- Your client has decided that the risk of the bond portfolio is acceptable and wishes to leave it as it is. Now your client has asked you to use historical returns to estimate the standard deviation of Blandy’s stock returns. (Note: Many analysts use 4 to 5 years of monthly returns to estimate risk, and many use 52 weeks of weekly returns; some even use a year or less of daily returns. For the sake of simplicity, use Blandy’s 10 annual returns.)arrow_forwardA stock is currently selling for $59. Over the next two periods, the stock will move up by a factor of 1.15 or down by a factor of .87 each period. A call option with a strike price of $60 is available. If the risk-free rate of interest is 2.5 percent per period, what is the value of the call option?arrow_forward
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