Using put call parity
P=C+X/(1+r)^t-S+D/(1+r)^t'=0.60+40/(1+3%)^(3/12)-39.60+0.80/(1+3%)^(2/12)=1.50157
14. A call option has a premium of $0.60, a strike price of $40, and 3...
A call option has a premium of $0.60, a strike price of $40, and 3 months to expiration. The current stock price is $39.60. The stock will pay a $0.80 dividend two months from now. The risk-free rate is 3 percent. What is the premium on a 3-month put with a strike price of $40? Assume the options are European style.
(i) The current stock price is 100. The call option premium with a strike price 100 is 8. The effective risk-free interest rate is 2%. The stock pays no dividend. What is the price of a put option with strike price 100? (Both options mature in 3 months.) (ii) The 3-month forward price is 50. The put option premium with a strike price 52 is 3 and the put option matures in 3 months. The risk-free interest rate is 4%...
The current stock price is 100. The call option premium with a strike price 100 is 8. The effective risk-free interest rate is 2%. The stock pays no dividend. What is the price of a put option with strike price 100? (Both options mature in 3 months.)
The 3-month forward price is 50. The put option premium with a strike price 52 is 3 and the put option matures in 3 months. The risk-free interest rate is 4% p.a., compounded quarterly. The stock pays no dividend. What is the price of a call option with a strike of 52 and matures in 3 months?
A European call option and put option on a stock both have a strike price of $45 and an expiration date in six months. Both sell for $2. The risk-free interest rate is 5% p.a. The current stock price is $43. There is no dividend expected for the next six months. a) If the stock price in three months is $48, which option is in the money and which one is out of the money? b) As an arbitrageur, can...
A stock's current price is $72. A call option with 3-month maturity and strike price of $ 68 is trading for 6, while a put with the same strike and expiration is trading for $20. The risk free rate is 2%. How much arbitrage profit can you make by selling the put and purchasing a synthetic put? (Provide your answer rounded to two decimals.) You have purchased a put option for $ 11 three months ago. The option's strike price...
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.
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...
the value of a put and the the value of 8- The higher the strike price, the a call, all else being equal. a) higher, higher b) lower; lower c) higher, lower d) lower, higher e) Doesn't move; higher 9-A 5-month European call option on a non-dividend-paying stock has a strike price of $30. The underlying stock is selling for $32 and the risk free rate is 6%. If the market value of the call is $35, is there any...
g) European call with a strike price of $40 costs $7. European put with the same strike price and expiration date costs $6. Assume that you buy two calls and one put (strap strategy). Sketch the graph and write down functions of payoff and profit h) Consider a stock with a price of $50 and there is European put option on that stock with the strike of $55 and premium of $4. Assume that you buy 1/3 of a stock...