2. The market price of a 100-share European call option contract is $560. The expiration date...
2. The market price of a 100-share European call option contract is $560. The expiration date of the call option is one year from today. On that date, the price of the underlying stock will be either $50 or $32. The two states are equally likely to occur. Currently, the stock sells for $40; its strike price is $41, Suppose you are able to borrow money at 10 percent per annum. Is there an arbitrage chance? How can you make...
A European call option has a strike price of $20 and an expiration date in six months. The premium for the call option is $5. The current stock price is $25. The risk-free rate is 2% per annum with continuous compounding. What is the payoff to the portfolio, short selling the stock, lending $19.80 and buying a call option? (Hint: fill in the table below.) Value of ST Payoff ST ≤ 20 ST > 20 How much do you pay...
A European call option on a non-dividend payment stock with a strike price of$18 and an expiration date in one year costs $3. The stock price is $20 and the risk free rate is 10% per annum. Can you design an arbitrage scheme to exploit this situation?
A European call option and put option on a stock both have a strike price of $25 and an expiration date in six months. Both sell for $3. The risk-free interest rate is 10% per annum, the current stock price is $23, and a $1 per share dividend is expected in 2 months. Identify the arbitrage opportunity open to a trader.
Problem 12. A European call and put option on a stock both have a strike price of $30 and an expiration date in three months. The price of the call is $3, and the price of the put is $2.25. The risk free interest rate is 10% per annum, the current stock price is $31. Indentify the arbitrage opportunity open to a trader.
A six-month European call option on a non-dividend-paying stock is currently selling for $6. The stock price is$64, the strike price is S60. The risk-free interest rate is 12% per annum for all maturities. what opportunities are there for an arbitrageur? (2 points) 1. a. What should be the minimum price of the call option? Does an arbitrage opportunity exist? b. How would you form an arbitrage? What is the arbitrage profit at Time 0? Complete the following table. c....
Consider a three-year European call option with the strike price of $150. The underlying stock will pay $10-dividend two years later from now. The current stock price is $170. The risk-free rate is 3% per annum. Find the range of the call prices that do not allow any arbitrage.
4. A call option currently sells for $7.75. It has a strike price of $85 and seven months to maturity. A put with the same strike and expiration date sells for $6.00. If the risk-free interest rate is 3.2 percent, what is the current stock price? 5. Suppose you buy one SPX call option contract with a strike of 1300. At maturity, the S&P 500 Index is at 1321. What is your net gain or loss if the premium you...
A 10-month European call option on a stock is currently selling for $5. The stock price is $64, the strike price is $60. The continuously-compounded risk-free interest rate is 5% per annum for all maturities. a) Suppose that the stock pays no dividend in the next ten months, and that the price of a 10-month European put with a strike price of $60 on the same stock is trading at $1. Is there an arbitrage opportunity? If yes, how can...
The price of a European call that expires in nine months and has a strike price of $40 is $6.80. The underlying stock price is $41, and a dividend of $1.50 is expected in four months. The term structure is flat, with all risk-free interest rates being 10%. a. What is the price of a European put option on the same stock that expires in nine months and has a strike price of $40? b. Explain in detail the arbitrage...