. The spot price per share is $115 and the risk free rate is 5% per annum on a continuously compounded basis. The annual volatility is 20% and the stock does not pay any dividend. All options have a one-year maturity. In answering the questions below use a binomial tree with three steps. Each step should be one-third of a year. Show your work.
1.Using the binomial tree, compute the price at time 0 of a one-year European call option on 100 shares of stock with a strike price of $115 per share and show that put-call parity holds.
. The spot price per share is $115 and the risk free rate is 5% per annum on a continuously compounded basis. The annual...
The spot price per share is $115 and the risk free rate is 5% per annum on a continuously compounded basis. The annual volatility is 20% and the stock does not pay any dividend. All options have a one-year maturity. In answering the questions below use a binomial tree with three steps. Each step should be one-third of a year. 1)Using the binomial tree, compute the price at time 0 of a one-year European put option on 100 shares of...
The spot price per share is $115 and the risk free rate is 5% per annum on a continuously compounded basis. The annual volatility is 20% and the stock does not pay any dividend. All options have a one-year maturity. In answering the questions below use a binomial tree with three steps. Each step should be one-third of a year. Show your work. How would you hedge a long position in the American put option at time 0?
The spot price per share is $115 and the risk free rate is 5% per annum on a continuously compounded basis. The annual volatility is 20% and the stock does not pay any dividend. All options have a one-year maturity. In answering the questions below use a binomial tree with three steps. Each step should be one-third of a year. Show your work. Compute u, d, as well as p for the standard binomial model.
6) Consider an option on a non-dividend paying stock when the stock price is $38, the exercise price is $40, the risk-free interest rate is 6% per annum, the volatility is 30% per annum, and the time to maturity is six months. Using Black-Scholes Model, calculating manually, a. What is the price of the option if it is a European call? b. What is the price of the option if it is a European put? c. Show that the put-call...
15: Interest rates are 10% per annum continuously compounded. The price of the stock is currently $100 per share. In one year the price will be either $125 per share or $75 per share. Using a one period Binomial Tree Model as outlined in Section 75, find the value, now, of the call option with exercise price of 100. What is the hedge ratio? Now calculate the answers for exercise prices of 90 and 110.
1a) The current price of a stock is $43, and the continuously compounded risk-free rate is 7.5%. The stock pays a continuous dividend yield of 1%. A European call option with a exercise price of $35 and 9 months until expiration has a current value of $11.08. What is the value of a European put option written on the stock with the same exercise price and expiration date as the call? Answers: a. $5.17 b. $3.08 c. $1.49 d. $2.50...
Problem 12.25. Consider a European call option on a non-dividend-paying stock where the stock price is $40, the strike price is $40, the risk-free rate is 4% per annum, the volatility is 30% per annum, and the time to maturity is six months a. Calculate u, d, and p for a two step tree b. Value the option using a two step tree. c. Verify that DerivaGem gives the same answer d. Use DerivaGem to value the option with 5,...
Question 3 - 20 Points Consider a European call option on a non-dividend-paying stock where the stock price is $33, the strike price is $36, the risk-free rate is 6% per annum, the volatility is 25% per annum and the time to maturity is 6 months. (a) Calculate u and d for a one-step binomial tree. (b) Value the option using a non arbitrage argument. (c) Assume that the option is a put instead of a call. Value the option...
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.