Mr. John Barker, who is a market maker at CBOE, notices the following quotes in his hand-held device. The price of Macrohard stock is $66 per share. The European call option on the stock, with strike price $70 and expiration date in six months, is quoted for $4 per share. The European put option on the same stock, with the same strike price and the same expiration date, is quoted for $5.5 per share. A dividend of 50 cents is expected in two months. The interest rate is 5%. A. Is there an arbitrage opportunity to Mr. John Barker? How much is the arbitrage profit per share of the stock? B. Describe your arbitrage strategy in words and then use a table to show the cash flows of your arbitrage strategy.

Mr. John Barker, who is a market maker at CBOE, notices the following quotes in his hand-held device. The price of Macrohard stock is $66 per share. The European call option on the stock, with strike price $70 and expiration date in six months, is quoted for $4 per share. The European put option on the same stock, with the same strike price and the same expiration date, is quoted for $5.5 per share. A dividend of 50 cents is expected in two months. The interest rate is 5%. A. Is there an arbitrage opportunity to Mr. John Barker? How much is the arbitrage profit per share of the stock? B. Describe your arbitrage strategy in words and then use a table to show the cash flows of your arbitrage strategy.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter6: Fixed-income Securities: Characteristics And Valuation

Section: Chapter Questions

Problem 14P

See similar textbooks

Similar questions

You work on a proprietary trading desk of a large investment bank, and you have been asked for a quote on the sale of a call option with a strike price of $53 and one year of expiration. The call option would be written on a stock that does not pay a dividend. From your analysis, you expect that the stock will either increase to $73 or decrease to $38 over the next year. The current price of the underlying stock is $53, and the risk-free interest rate is 5% per annum. What is this fair market value for the call option under these conditions? Do not round intermediate calculations. Round your answer to the nearest cent. $
The stock of Suncor Energy is currently trading for $36 per share. An investor expects the stock price to move up in the next two months, and decided to invest $7, 200 in this stock. If the investor invests all the money in the stock, how much is the profit or loss if the stock price in two months turns out to be i) 40 or ii) 32? If the investor invests all the money in call options with a strike price of $35 and price of the call is $2 per share, how much is the profit or loss if the stock price in two months turns out to be i) 40 or ii) 32?
Assume that the current stock price is $50 per share, that call options can be purchased with an exercise price of $60 per share, that bank loans can be obtained for a 10 percent nominal rate, and that at expiration of the option in three months, the stock will either be valued at $30 or $70. Show that it is possible to replicate the stock payoff by borrowing and buying a call option.
A stock is expected to pay a dividend of $1 per share in 2 months. An investor purchased a forward contract on the stock at a forward price of $50 some time ago. The contract now has 3 months to its delivery date. The stock is currently trading at $55 and the risk free rate is 4% on a continuously compounded basis. Consider the following statements. I. The price of a forward contract on the stock with 3 months to the delivery date is $54.55 II. The value of the investor’s forward position is $5.50 Which of the following is correct? (No excel pls) a. Statement I is incorrect, Statement II is correct. b. Both statements are correct. c. Both statements are incorrect. d. Statement I is correct, Statement II is incorrect.
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
On July 1, an investor holds 50,000 shares of a certain stock. The market price is $30 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index is currently 1,500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. What strategy should the investor follow? Under what circumstances will it be profitable?
Stock options, gold options and index options are examples of options where the underlying assets are stocks, gold and stock market index, respectively. What is the difference between European and American option? Are European options available exclusively in Europe and American options available exclusively in the United States? You own a call option on Intuit stock with a strike price of RM36. The option will expire in exactly three months’ time. If the stock is trading at RM46 in three months, what will be the payoff of the call? If the stock is trading at RM32 in three months, what will be the payoff of the call? Draw a payoff diagram showing the value of the call at expiration as a function of the stock price at expiration. Suppose that a June put option to sell a share for RM10 costs RM2 and is held until June. Under what circumstances will the seller of the option make a profit? Under what circumstances will the option exercised?
The following lists the six New York Stock Exchange volume leaders on June 24. An investor buys 100 shares of GE at the Last Trade price, pays a $100 commission on the purchase, and sells the 100 shares a year later for $37.78 per share with a 2% commission on the sale. (a) Find the total cost.$ (b) Find the total dividend.$ (c) Find the commission when selling the shares.$ (d) Find the capital gain when selling the shares.$ (e) Find the total return for the year.$ (f) Find the percent of return. (Round your answer to two decimal places.)
Peter has been granted options on 50,000 shares. The stock is currently trading at $17 a share and the options are at the money. The volatility of the stock returns averages 16 percent. The options mature in 2 years and the risk-free rate is 3.45 percent. N(d1) is .662055 and N(d2) is .576052. Given this information, what is the value of a call option on one share of this stock? $2.11 $1.70 $2.21 $1.89 $2.28
The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $40 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 $40 is $8.49. Required: If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $40 if it is at the money? (The stock pays no dividends.) 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? 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?
Refer to the following chart. An investor (a day trader) always buys 500 shares of stock at the market close price and sells them at the last sale price, paying a $30 commission per transaction. The stock the trader bought is MSLV. (a) Find the total cost.$ (b) Find the return for the day.$ (c) Find the percent of return. (Round your answer to one decimal place.)
ABC stock is currently trading at R70 per share. A dividend of R1 is expected after three monthsand another one of R1 after six months. A European call option on ABC stock has a strike priceof R65 and 8 months to maturity. Given that the risk-free rate is 10% and the volatility is 32%,compute the price of the option.