Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
ISBN: 9780077861759
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 22, Problem 19QP
Black-Scholes A call option has an exercise price of $80 and matures in six months. The current stock price is $84, and the risk-free rate is 5 percent per year, compounded continuously. What is the price of the call if the standard deviation of the stock is 0 percent per year?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A stock is currently priced at $47. A call option with an expiration of 1 year has an
exercise price of $50. The risk-free rate is 4 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?
Call option price
Assume a stock price is g120, and in the next year, it will either rise by 10 percent or fall by 20 percent. The risk-free interest rate is 6 percent. A call option on this stock has an exercise price of g130. What is the price of a call option that expires in one year? What is the chance that the stock price will rise?
A stock has a beginning market value of S70. It can either increase in value 30% each year or decrease in value by
30%. A 3-year European call option written on the stock has an exercise price of $70. The risk-free rate of retum is 5%
per year. What is the current equilibrium price of the call option if you maintain a riskless portfolio by readjusting your
relative positions in stocks and puts t the end of cach year?
Please operate with 2 decimals, show all work, and choose the closest answer. MAKE SURE TO WORKOUT
CLEARLY THE STEPS TO AVOID 50% PENALTY.
30.2
15.3
O 25.2
19.1
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
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
- Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. Use Binomial Model. What is the value of the option. Provide all necessary calculations.arrow_forwardConsider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. Use Binomial Model. What is the value of the option. Please provide necessary calculations.arrow_forwardA stock of 9 is currently priced at $38. A call option with an expiration of one year has an exercise price of $40. The risk-free rate is 4.2 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?arrow_forward
- Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. Use Binomial Model. (a) What is the evolution of the prices of the underlying asset in time? Show it on a binomial tree.arrow_forwardSuppose the stock price is $20 today. In the next six months it will either fall by 50 percent or rise by 50 percent. What is the current value of a call option with an exercise price of $15 and expiration of one year? The six-month risk-free interest rate is 10 percent (periodic rate). Use the two-stage binomial method. $7.86 $2.14 $8.23 $8.93arrow_forwardConsider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. What is the value of the option. Please provide necessary calculations.arrow_forward
- Consider a European call option on a stock with current price $100 and volatility 25%. The stock pays a $1 dividend in 1 month. Assume that the strike price is $100 and the time to expiration is 3 months. The risk free rate is 5%. Calculate the price of the the call option.arrow_forwardConsider a 2-year European put with a strike price of $52 on a stock whose current stock price is $50. Suppose that there are two time steps, and in each time step the stock price either moves up by 30% or moves down by 30%. Also suppose that risk-free rate is 7% per annum with continuous compounding. What is the value of the European put option?arrow_forwardA put option will mature in six months. The standard deviation of the underlying stock returns is 50% per year. The exercise price of the put option is $50 and the stock price is also $50. The risk-free interest rate is 3% per year. Using the Black- Scholes formula, what is the price of the put option? Show detailed work leading to your answer in the working sheet. $6.34 $7.08 $8.07 $3.64arrow_forward
- A stock has a current price of $67. An option on this stock that expires in six months has an exercise price of $65. The stock will pay a dividend of $5 in three months. Assume an annualized volatility of 30% and a continuously compounded risk - free rate of 5% per annum. Use the Black - Sholes - Merton model to price this option. 1) Suppose the option is a European put. Calculate the value of the put. 2) Suppose this option is an American call. Use Black's approximation to calculate the value of this call.arrow_forwardDo it correctly step by step.arrow_forwardWhat are the prices of a call option and a put option with the following characteristics? Stock price = $93 Excerise price = $90 Risk - free rate = 4% per year, compounded continuously Maturity = 5 months Standard deviation = 62% per yeararrow_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