Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 21, Problem 15PS
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To determine: Value of unusual option.
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Suppose you want to price an American style put option for a stock being traded on theKuispad Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ = 0.2, r = 0.07.
Using n = 5, calculate the value of V0(0). Provide all necessary details
Option Pricing Suppose a certain stock currently sells for $30 per share. If a put option and acall option are available with $30 exercise prices, which do you think will sell for more? Explain
You buy a put option on IBM common stock. The option has an exercise price of $136 and IBM’s stock currently trades at $140. The option premium is $5 per contract.a. What is your net profit on the option if IBM’s stock price increases to $150 at expiration of the option and you exercise the option?
b. How much of the option premium is due to intrinsic value versus time value?c. What is your net profit if IBM’s stock price decreases to $130?d. Draw the payout diagram at maturity on a short put option position, option premium = $2, and the same exercise price...
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Chapter 21 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 21 - Prob. 1PSCh. 21 - Option delta a. Can the delta of a call option be...Ch. 21 - Prob. 4PSCh. 21 - Binomial model Over the coming year, Ragworts...Ch. 21 - BlackScholes model Use the BlackScholes formula to...Ch. 21 - Option risk A call option is always riskier than...Ch. 21 - Prob. 8PSCh. 21 - Prob. 9PSCh. 21 - Binomial model Suppose a stock price can go up by...Ch. 21 - American options The price of Moria Mining stock...
Ch. 21 - Prob. 12PSCh. 21 - American options Suppose that you own an American...Ch. 21 - Prob. 14PSCh. 21 - Prob. 15PSCh. 21 - American options The current price of the stock of...Ch. 21 - Option delta Suppose you construct an option hedge...Ch. 21 - Prob. 19PSCh. 21 - American options Other things equal, which of...Ch. 21 - Option exercise Is it better to exercise a call...Ch. 21 - Prob. 22PSCh. 21 - Option delta Use the put-call parity formula (see...Ch. 21 - Option delta Show how the option delta changes as...Ch. 21 - Dividends Your company has just awarded you a...Ch. 21 - Prob. 27PSCh. 21 - Prob. 28PSCh. 21 - Prob. 29PS
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- Stock Price to ProfitYou buy an “at the money” April call option on M&M Corp. common stock, which has a strikeprice of $25 and a premium of $4. At what minimum price of M&M Corp. stock will you make a profit? At what minimum price should you exercise the option and buy the stock?arrow_forwardSuppose you want to price an American style put option for a stock being traded on theDryfontein Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ =0.2 and r = 0.07. Using n = 5, calculate the value of V2(2). Provide all necessary details.arrow_forwardYou have purchased a put option on ABC common stock for $2 per contract. The option has an exercise price of $56. What is your net profit on this option if stock price is S45 at expiration? Moving to another question will save this response.arrow_forward
- Calculate the profit or loss per share of stock to an investor who buys a call option on a stock whose price is K90 but a call option exercise price if K100 if the stock price at expiration is K105. Calculate the profit or loss for a purchaser of a put option with the same exercise price and expiration?arrow_forwardConsider a European call on Procter and Gamble stock (PG) that expires in one period. The current stock price is $120, the strike price is $130, and the risk-free rate is 5%. Assume that PG stock will either go up to $150 (probability = .4), or go down to $90 (probability = .6). Construct a replicating portfolio based on shares of PG stock and a position in a risk-free asset, and compute the price of the call option.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 stock price is $30. An investor buys one call option contract on the stock with a strike price of $28 and sells a call option contract on the stock with a strike price of $27. The market prices of the options are $2 and $1.7, respectively. The options have the same maturity date. Describe the investor’s position and the possible gain/loss he will get (taking into account the initial investment). Make a graph of your gain/loss.arrow_forward*NoChatGPT answers please 6A) What is the price of a European call option on a non-dividend-paying stock when the stock price is $52, the strike price is $50, the risk-free interest rate is 12% per annum, the volatility is 30% per annum, and the time to maturity is 3 months? 6B) What is the assumption of the Black–Scholes–Merton stock option pricing model about the probability distribution of the stock price in one year? What is the assumption about the probability distribution of the continuously compounded rate of return on the stock during the year?arrow_forward
- QUESTION: 2. What is the fair value for a six-month European call option with a strike price of $135 over a stock which is trading at $138.15 and has a volatility of 42.5% when the risk free rate is 1.85% using the two step binomial tree? a) What is the delta of this option? b) What is the probability of an up movement in this stock? c) What is the probability of a down movement in this stock? d) What is the proportional move up for this stock e) What is the proportional move down for this stock f) What would be the value of the put option with the same strike price?arrow_forwardparts a, b, c Suppose an investor is considering a multi option strategy on a stock with a currentprice of $100. The following strategy is called a strangle. The investor purchases a call optionwith a strike price of $110 for a premium of $5 and purchases a put option with a strike priceof $90 for a premium of $3.a) Draw a payout diagram for the strangle option strategy at expiration.b) Determine the breakeven points for the strangle option strategy.c) Suppose the stock price at expiration is $120. What is the profit for the strangle optionstrategy?d) Suppose the stock price at expiration is $85. What is the profit for the strangle optionstrategy?e) What is the investor speculating on with her option strategy?arrow_forwardAn investor buys a European call option at a price of 7.6 yuan. The stock price is 52 yuan and the strike price is 55 yuan. Under what circumstances will the investor make a profit ? Under what circumstances will the option be executed ? Draw a diagram of the relationship between investor profitability and stock price at maturity.arrow_forward
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