Suppose you are given the following data:
2-month option on XYZ stock:
Underlying S = 118.49
Strike X = 120
Put price = $2.1
A. What should be the price of call to prevent arbitrage if 2-month interest rate is 6% p.a.?
B. If the actual call price was $1.0, how would you implement an arbitrage opportunity?
C. Compute your payoff at maturity.
Suppose you are given the following data: 2-month option on XYZ stock: Underlying S = 118.49...
5. Suppose that you sold an American put option P on the underlying stock ABC. You calculated the delta and gamma of the put option and found Ap = -0.4 and Ip= 0.3. Suppose you want a position which is both delta and gamma neutral. Determine the hedge in the following two cases: (a) Use the underlying stock itself and a call option C on the stock (with different strike and maturity as the put), with Ac 0.25 and Io...
You purchase a European put option on XYZ stock with strike price 50. What is the payoff to the option if XYZ stock is trading at 48 on the expiration day? You purchase a 1-year European call option on ABC stock with strike price 100. The option premium is $10. The effective annual interest rate is 10%, so that 100 dollars lent for 1 year will return 110 dollars. What is the PROFIT if ABC stock is trading at 111...
1. 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. 1) 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...
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...
10 Answer the following a. Suppose data are collected for a certain stock: Stock price Call price (1-year expiration, E $105) Put price (1-year expiration, E 105) $110 $17 $5 5% per year Risk-free interest rate Is there a mispricing of the call and put? If yes, can you exploit this mispricing to create arbitrage proft? b. Design a portfolio using only call options and the underlying stock with the following payoff at expiration: 0 10 20 30 40 S0...
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....
XYZ stock is trading at $100. The effective 3 month interest rate r 190.3 month options on XYZ are trading at the following prices: Strike Price Call Price Put Price 95 100 105 7.05 4.11 2.14 6.88 1.81 3.86 1. Buy XYZ for S100 and buy a 95 strike put a) What is the cost for this position? b) Construct the payoff and profit graphs for this position c) Take the same amount of cash as in a) and instead...
You enter into a 6-month long forward contract on XYZ stock. The forward price is 50. What is the payoff to your long forward if XYZ stock rises to 53 at 6 months? You enter into a 6-month short forward contract on XYZ stock. The forward price is 50. What is the payoff to your short forward if XYZ stock rises to 51 at 6 months? You purchase a European call option on XYZ stock with strike price 50. What...
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is $50, the strike price is $55, and the risk-free interest rate is 6% per annum continuously compounded. The price for 6-months European put option with same strike, underlying and maturity is 82. What opportunities are there for an arbitrageur? Describe the strategy and compute the gain.
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