a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price of $80? (The stock pays no dividends.) b. What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it have to move in either direction for you to make a profit on your initial investment?

a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price of $80? (The stock pays no dividends.) b. What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it have to move in either direction for you to make a profit on your initial investment?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You think that there is an arbitrage opportunity on the market. The current stock price of Wesley corp. is $20 per share. A one- year put option on Wesley corp. with a strike price of $18 sells for $3.33, while the identical call sells for $7. The one-year risk- free interest rate is 8%. Assuming that the put option is fairly priced, compute the fair price of the call option and explain what you must do to exploit this arbitrage opportunity and what will be your gain.
Suppose that call options on XYZ stock with time to expiration 3 months and strike price $90 are selling at an implied volatility of 30% ExxonMobil stock price is $90 per share, and the risk free rate is 4%. Required: a1 If you believe the true volatility of the stock is 32%, would you want to buy or sell call options? a2-Now you want to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold?
4. Which of the following statements about the current value of a short European call option on Warwick plc stock, a non-dividend-paying stock, is/are true? (a) The current value of a short European call option is less than or equal to zero. (b) The current value of a short European call option decreases as the volatility of returns on Warwick plc stock increases, holding all else constant. (c) The current value of a short European call option decreases as the price of Warwick plc stock increases, holding all else constant. (a) only. (b) only. (c) only. (b) and (c) only. (a), (b) and (c). *
You are attempting to value a put option with an exercise price of $108 and one year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $130 and a 50% chance of decreasing to $86. The risk-free rate of interest is 10%. Calculate the value of a put option with exercise price $108. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. X Answer is complete but not entirely correct. Value of a put option $ 107.50
Without using the Black‐Scholes model, compute the price of a European put option on a non‐dividend‐paying stock with the strike price is $70 when the stock price is $73, the risk‐free interest rate is 10% pa, the volatility is 40% pa, and the time to maturity is 6 months?
You are attempting to value a call option with an exercise price of $107 and 1 year to expiration. The underlying stock pays no dividends, its current price is $107, and you believe it has a 50% chance of increasing to $123 and a 50% chance of decreasing to $91. The risk-free rate of interest is 12%. Calculate the call option's value using the two-state stock price model. (Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.) Call option's value 60
You buy a share of stock, write a 1-year call option with X = $85, and buy a 1-year put option with X = $85. Your net outlay to establish the entire portfolio is $83.3. Required: What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. Note: Round your answer to 2 decimal places.
1. What is the fair value for a two-year American put option with a strike price of $85 over a stock which is trading at $86.15 which has a volatility of 37% when the risk free rate is 1.75% using the two step binomial tree? a) What is the delta of this option? b) What is the probability of a down movement in this stock? c) What is the probability of an up 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 call option with the same strike price?
2. Why is writing a naked-cal option very risky? (find out first what a naked cal-is): 3. Graph the profits and losses associated with writing a-call option on a security with a strike price of $60-and a premium of $5. 4. Suppose that you own 100 -shares of the-company in which you just wrote the option in previous question: If you puehased these shares at $50 what will your net profit/loss position look like now over, say share prices from $40 to $80? Gonstruct a table-and graph the situation:
A stock priced at $50 has two possible outcomes, either increases to $60 or decreases to $42. If the stock goes up, the payoff of the stock's call option = S5. But, if the stock price declines to $42, the calls will expire worthless. Given these two possible outcomes, what is the Hedge Ratio of the Call option? Round your answer to two decimals. The listed correct answer was 0.28. I could not find a way to get this.
What's the key to profitable long call options? A. A large number of at-the-money call options. B. An optionable stock that goes up sufficiently within a certain period. C. An option position that breaks even early enough before expiration. D. In-the-money calls. 4
D6) You use the Black Scholes model to price a Call option on a stock with discrete dividends. The dividends will be given in months 1, 5, and 9, each 3 USD. The current value of the stock is 105 USD, the strike price is 90 USD, the continuously compounded annual risk-free rate is 0.05, the volatility is 0.08, the time to maturity is 12 months. Calculate the price of the option.

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