The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $95 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $95 is $6.00. Required: a. If the semiannual risk-free interest rate is 5%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $95 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now?

The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $95 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $95 is $6.00. Required: a. If the semiannual risk-free interest rate is 5%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $95 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now?

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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A 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.
An option has strike price of $9 and 12 months to expiry. The current price of the underlying share is $35 and its volatility (sigma) is 23%. The riskfree rate of interest is 4% per annum. Calculate d2 for this option. [your answer should have at least 2 decimal places]
The common stock of Triangular File Company is selling at $91. A 13-week call option written on Triangular File's stock is selling for $9. The call's exercise price is $101. The risk-free interest rate is 8% per year. a. Suppose that puts on Triangular stock are not traded, but you want to buy one. Which combination will produce the same results? Buy call, invest PV(EX), sell stock short Sell call, invest PV(EX), sell stock short Buy call, lend PV(EX), buy stock Sell call, lend PV(EX), buy stock b. Suppose that puts are traded. What should a 13-week put with an exercise price of $101 sell for? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Put option price
Generic Stock Inc. (GS) is trading at $100. A call option with a strike price of $102, which expires in 6 months, costs $9.52 (assuming a risk - free rate of 5% and a volatility of 0.33). What is the Delta of this option
A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10% per period. Consider a six-month European put option with a strike price of $95. The risk-free interest rate is 8% per annum, compounded continuously. What is the value of the option? Question 1 options: 1.50 3.25 2.14 None of the above
The price of a stock is currently $37. Over the next half year, the price is anticipated to rise to $42 or decline to $36. The upside has a 60% probability of occurring. The risk-free interest rate is 5% p.a.. What is the price of a six month call option with an exercise price of $38?
1) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $130 or fall to $70 after one month. The gross one month risk - free rate is 1.02 %. Using risk neutral pricing, what is the price of a 100- strike one-month call option? Round your calculaton for q and 1 - q to four (4) decimal places. a. $14.90 b. $14.71 c. $15.05 d. $15.69 2) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $120 or fall to $80 after one month. The gross one month risk - free rate is 1.03%. Using risk neutral pricing, what is the price of a 100-strike one-month put option? Round your calculaton for q and 1 - q to three (3) decimal places a. $8.00 b. $8.25 c. $8.50 d. $8.75
Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900 Only typed answer
A European call option and put option on a stock both have a strike price of $20 and an expiration date in nine months. Both sell for $3. The risk-free interest rate is 15% per annum, the current stock price is $19.75, and a $1 dividend is expected in one month. Identify the arbitrage opportunity open to a trader.
The market price of JS stock is currently $30. It is known that at the end of three months it will be either $33 or $27. The risk-free interest rate is 8% per annum with continuous compounding. (a) Use a one-step binomial tree to calculate the value of a three-month European put option on the JS stock with a strike price of $31? Use no-arbitrage arguments (you need to show how to set up the riskless portfolio). (b) Use the same one-step binomial tree and your results from (a) to determine the price of a three-month American put option on the JS stock with a strike price of $31
The common stock of the CGI Inc. has been trading in a narrow range around $35 per share for months, and you believe it is going to stay in that range for the next three months. The price of a three-month put option with an exercise price of $35 is $2, and a call with the same expiration date and exercise price sells for $3. Suppose you write a strap ( = write 2 calls and write 1 put with the same strike price) and the stock price winds up to be $37 at contract expiration. What was your net profit on the strap? A. $200 B. $300 C. $400 D. $500 E. $700
A stock price is currently $40. It is known that at the end of three months it will be either $44 or $36. The risk - free rate of interest with continuous compounding is 8% per annum. Calculate the value of a three-month European call option on the stock with an exercise price of $39. Verify that no - arbitrage arguments and risk - neutral valuation arguments give the same answers.

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