UPENN: LOOSE LEAF CORP.FIN W/CONNECT
17th Edition
ISBN: 9781260361278
Author: Ross
Publisher: McGraw-Hill Publishing Co.
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 22, Problem 27QP
Two-State Option Pricing Model Rob wishes to buy a European put option on BioLabs, Inc., a non-dividend-paying common stock, with a strike price of $50 and six months until expiration. The company’s common stock is currently selling for $45 per share, and Rob expects that the stock price will either rise to $68 or fall to 537 in six months. Rob can borrow and lend at the risk-free EAR of 5 percent.
- a. What should the put option sell for today?
- b. If no options currently trade on the stock, is there a way to create a synthetic put option with identical payoffs to the put option just described? If there is, how would you do it?
- c. How much docs the synthetic put option cost? Is this greater than, less than, or equal to what the actual put option costs? Does this make sense?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1. Option Pricing
A. Suppose an investor offers to sell you a call option for a share in Baroque Inc. (a
housing construction firm). The offer is for a one-year European call option that has
an exercise price of $130. Baroque's stock price is currently selling for $120, and
over the coming year the price will either rise to $160 or fall to $110. Also, the one-
year rate of interest is 10 percent. If the investor offers to sell the option for $10,
would you go for broke and buy a call option for Baroque? (Sorry for the bad pun.)
Please explain carefully.
B. Sketch a graph of an investor's payoff as a function of future stock price if the
investor holds both a put option with an exercise price of $130 and a share of
Baroque stock.
What is the price of a one-month European call option given the following information: the exercise price is $19, the current share price is $19, and the risk-free interest rate is 1% per month. Furthermore, the share price is expected to be either $25 or $15 at the end of the month. The company does not pay dividends. Assume a risk-neutral world.
Group of answer choices
$3.11
$1.91
$2.49
$3.32
None of the above answers is correct.
Melbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for $1.50 per option. The current market price is $17.70 on 28th September 2020, the exercise price is $20, and the maturity of each call option is 6 months.
(i) Under what circumstances does the investor make a profit?
(ii) Under what circumstances will the option be exercised?
(iii) How many call options should the investor sell to raise a total capital of $1,260,000?
Chapter 22 Solutions
UPENN: LOOSE LEAF CORP.FIN W/CONNECT
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
- A put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a she-month European put option for a share of stock with an exercise price of $25. tf six months later, the stock price per share is $26 more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $25-$22.50-$3.50 per share, less the cost of the option. If you paid $1.00 per put ption, then your profit would be $3.30-11.00-$2.50 per…arrow_forwardA 6-month European call option on a dividend-paying stock is cur- rently selling for $1.75. The stock price is $58.56, the strike price is $55, and a dividend of $1.20 is expected in 2 months and 5 months. The risk-free interest rate is 3% per annum for all maturities. (a) What opportunities are there for an arbitrageur? Detail your answer. (b) In this market a European put option with same strike price and maturity is also available for trading. Derive the no-arbitrage $3. price of the put option if the call option has a price of c = %3D (c) The European put option in the above section is trading at $3. What opportunities are there for an arbitrageur? Detail your answer.arrow_forwardMelbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for $1.50 per option. The current market price is $17.70 on 28th September 2020, the exercise price is $20, and the maturity of each call option is 6 months. Under what circumstances does the investor make a profit? Under what circumstances will the option be exercised? How many call options should the investor sell to raise a total capital of $1,260,000? Company A agrees to enter into an FRA agreement with Company B in which Company A borrows $ 40,000,000 in 6-month time for a period of 9 months, and Company B invests $ 40,000,000 in 6-month time for a period of 9 months. The 6-month interest rate is 0.77% per annum and the 9-month interest rate is 0.89% per annum. What is the interest rate that both companies agreed upon? Suppose that at the expiry date of the FRA, the 6-month interest rate is 0.81% per annum and the 9-month interest rate is 0.96% per annum, calculate the…arrow_forward
- Financial Options: Madeline Manufacturing Quantitative Problem: Madeline Manufacturing Inc's current stock price is $45 per share. Call options for this stock exist that permit the holder to purchase one share at an exercise price of $35. These options will expire at the end of 1 year, at which time Madeline's stock will be selling at one of two prices $25 or $55. The risk-free rate is 5%. Using the binomial option pricing model, create a riskless hedged investment and answer the following question: After the payoffs have been equalized and the riskless hedged investment is created, what is the value of the portfolo in one year? Round your answer to the nearest cent. 24arrow_forwardMelbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for$1.50 per option. The current market price is $17.70 on 28th September 2020, theexercise price is $20, and the maturity of each call option is 6 months. Under what circumstances does the investor make a profit? Under what circumstances will the option be exercised? How many call options should the investor sell to raise a total capital of$1,260,000?arrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 – $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 – $1.00 =…arrow_forward
- A put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 - $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 - $1.00 =…arrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 − $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 − $1.00 =…arrow_forwardConsider the following one-year European-style options relating to one share of XYZ stock, currently priced at $100. Which of the following has the largest payoff if the stock price in one year is $99.5? Possible Answers A A cash-or-nothing call with strike price $100. B An asset-or-nothing call with strike price $100. C A cash-or-nothing put with strike price $100. An asset-or-nothing put with strike price $100.arrow_forward
- Give typing answer with explanation and conclusion What is the lower bound for the price of a 7-month European call option on a non-dividend-paying stock when the stock price is $44.02, the strike price is $39, and the risk-free interest rate is 1.3% per annum? Report your answer in dollars and cents.arrow_forwardA two-year European call option is written on a stock whose current price is $20. The stock will pay a dividend of $1 three months from now and another $1 one and half years from now. The strike price is $18, and the riskfree interest rate is 5%. Then the tightest lower bound for the call option value is, 6. $1.8976 $1.535 $1.194 a. b. с. d. $1.7976. Six-month call options with strike prices of $25 and $30 cost $4 and $3 respectively. Then the maximum possible gain and loss from a bear spread 7. formed using the two calls are respectively $10 and infinity $10 and $10 $1 and $4 $4 and $1 $10 and $5 а. b. c. d. е. Twelve-month European put options with strike prices of $35, $30, and $25 cost $7, $3.5, and $2 respectively. Then the maximum possible gain and loss from a butterfly spread formed using the three puts are respectively 8. a. $4.5 and infinity b. $4.5 and $0.5 $0.5 and $4.5 $3 and $0.5 $10 and $4.5 c. d. е. 9. A three-month call with a strike price of $20 costs $1. A three-month…arrow_forwardA one-month European put option on a non-dividend-paying stock is currently selling for $2.50. The stock price is $47, the strike price is $50, and the risk-free interest rate is 6% per annum. What opportunities, if any, are there for an arbitrageur? no opportunities; the put is fairly priced. an arbitrage strategy exists that could generate profit with a present value of at least $0.25. An arbitrageur should lend $49.50 for one month, buy the stock, and write the put option An arbitrageur should borrow $47.00 for one month, sell the stock, and write the put optionarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author: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 ProfessorPublisher:McGraw-Hill Education
Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,
Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
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
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