It's June, the stock price for CXY is$105.11. CXY does not pay dividends. The November put option on CXY with a strike price of$109is trading at$2.5. The current interest rate for all maturities is2%, compounded quarterly. Is there an arbitrage opportunity and why? If yes, identify an arbitrage strategy without any out-of-pocket expenses that yields positive profits when the option expires. Explain all steps and cash flows involved and show all calculations.
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- Amazon’s stock price is currently $3,084 and call options with exactly 3 months to expiration and an exercise price of $3,100 are quoted at $208. The 3-month T-bill rate is currently 0.75% and the stock does not pay dividends. Based on this information, what is the implied standard deviation of Amazon stock returns, in annual terms, over the next 3 months? Please calculate by hand.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. $700The risk-free rate is 2.5%. And the AAP Corporation currently trades at $200. Ignore transaction costs, and assume that the stock pays no dividends. What is the spread between a put and a corresponding call for AAP’s options expiring in 2 years with a strike price of $220?
- 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?You would like to be holding a protective put position on the stock of XYZ Company to lock in a guaranteed minimum value of $210 at year-end. XYZ currently sells for $210. Over the next year, the stock price will either increase by 10% or decrease by 10%. The T-bill rate is 4%. Unfortunately, no put options are traded on XYZ Company. Required: a. How much would it cost to purchase if the desired put option were traded? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What would be the cost of the protective put portfolio?You would like to be holding a protective put position on the stock of XYZ Company to lock in a guaranteed minimum value of $240 at year-end. XYZ currently sells for $240. Over the next year, the stock price will either increase by 7% or decrease by 7%. The T-bill rate is 3%. Unfortunately, no put options are traded on XYZ Company. Required: a. How much would it cost to purchase if the desired put option were traded? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What would be the cost of the protective put portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
- Carmax, Inc. common stock currently sells for $95.89 per share, and the standard deviation of returns is 44.58%. A call option with a strike price of $95.00 is currently trading on the market. The option expires in three months, and the risk - free rate of return is 4.4%. Carmax does not pay a dividend. Carmax's gamma (\Gamma) is: Group of answer choices 0.01829 0.00528 0.01723 0.01866OneChicago has just introduced a single-stock futures contract on Brandex stock, a company that currently pays no dividends. Each contract calls for delivery of 1,000 shares of stock in 1 year. The T-bill rate is 6% per year.a. If Brandex stock now sells at $120 per share, what should the futures price be?b. If the Brandex price drops by 3%, what will be the change in the futures price and the change in the investor’s margin account?c. If the margin on the contract is $12,000, what is the percentage return on the investor’s position?Stock ABC is currently standing at £1,508. Consider the corresponding stock options that expire in 90 days. The current Treasury Bills have a risk-free annual rate 2 percent. On the market, the calls and puts listed for ABC have an exercise price of £1,550. (a) Assume there are no dividends paid for stock ABC. (i) Explain the payoff diagrams for the put & call options for both European options and American options. Explain whether an increase in volatility would have impacts on profits/payoffs diagrams of puts on stock ABC. If you are a hedger, why would you continue to buy such put options with increased uncertainty? Explain.
- You work in a derivatives section in an investment bank. In August, a customer who holds Texa stock priced at $150 is worried that the stock will fall in price by the end of the year. Assuming the stock does not pay a dividend, can you sell the customer an option that insures that if the stock price falls below $145, their stock plus option payoff will never fall below $145? Explain.OneChicago has just introduced a new single stock futures contract on the stock of Brandex, a company that currently pays no dividends. Each contract calls for delivery of 1,000 shares of stock in one year. The T-bill rate is 3% per year. Required: a. If Brandex stock now sells at $150 per share, what should the futures price be? (Round your answer to 2 decimal places.) b. Brandex stock now sells at $150 per share. If the Brandex stock price drops by 2.0%, what will be the new futures price and the change in the investor's margin account? (Input all amounts as positive values. Do not round intermediate calculations. Round your answers to 2 decimal places.) c. Brandex stock now sells at $150 per share. If the margin on the contract is $20,000, what is the percentage return on the investor's position, if the Brandex stock price drops by 2.0%? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)The current price of a stock paying no income is 30. Assume the annually compounded zero rate will be 3% for the next 2 years. (a) Find the current value of a forward contract on the stock if the delivery price is 25 and maturity is in 2 years. (b) If the stock has price 35 at maturity, find the value of the forward from part (a) to the long counterparty at maturity