The stock price today is $100, At the end of the year, stock price will be either $120 or $80.
If the stock price increase to $120, put option will not be exercised so payoff = 0
If the stock price decreases to $80, put option will pay $20
The hedge ratio (ratio of put option payoffs to stock payoffs)
= (0-20)/(120-80) = -20/40 = -0.5
So, 2nd option is correct.
Suppose Disney's stock price is currently $100. In the next six months it will either fall...
Suppose IBM's stock price is currently $100. In the next year it will either fall to $70 or rise to $130. What is the price today of a one-year European call option on IBM with an exercise price of 100? The one-year risk-free interest rate is 2% per year. 6 10 0 15.69
A stock currently sells for $50. In six months it will either rise to $60 or decline to $45. The continuous compounding risk-free interest rate is 5% per year. Using the binomial approach, find the value of a European call option with an exercise price of $50. Using the binomial approach, find the value of a European put option with an exercise price of $50. Verify the put-call parity using the results of Questions 1 and 2.
The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $28. Assume the risk-free rate is 10%. What, to the nearest cent, is the price of a European put option with a strike price of $33?
The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is 10%. What, to the nearest cent, is the value of a 6-month European call option on the stock with a strike price of $33?
imagine that googles stock price will either rise by one third or fall by 25% over the next six months. Assume the 6 month risk free interest rate is 1%. Both the stock price amd the excersie price are $530. 1. Calculate the value of the 6 month call option using the replicating porfolio method 2. Calculate the value of the 6 month call option using the risk neutral method.
1. A stock price is currently $100. Over each of the next two six-month periods it is expected to go up by 10% or down by 10%. The risk-free rate is 8% per annum with continuous compounding. (a) What is the value of a one-year European call option with a strike price of $100? (b) What is the value of a one year European put option with a strike price of $100? (c) What is the value of a one-year...
4. Consider six months European put option with a strike price of $100 on a stock with current price $100. There are two time steps and in each time step the stock price either moves up by 10% or moves down by 10%. Risk-free interest rate is Y-5% (on 3 months (a) Find the current option price. (b) Compute the number of shares of stock which should be held by the replicating portfolio at time 0 and 1 (after 3...
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-bills will you put to replicate the pay off of a European call option with K = $38 and maturing in 6 months. b. 1pt What is the value of this European call option? Problem 2 Suppose that stock price will increase 5% and decrease 5%...
The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to 536 or fall to $26. Assume the risk-free rate is zero. What is the risk-neutral probability of that the stock price will be $367
2. A stock has two possible ending prices six months from now: $120 or $90. A call option written on this stock has an exercise price of $110. The option expires in six months. The risk-free rate is 6% per year. The current price of the stock is $100. a. Show how you can create a hedge portfolio using a combination of the stock and call option on this stock. b. What is the equilibrium price of the call option...