A stock index is currently 990, the risk free rate is 5%, and the dividend yield on the index is 2%. Use a three step to value and 18-month American put option with a strike price of 1000 when the volatility is 20% per annum.
What position in the stock is initially necessary to hedge the risk of the put option?
The value of the option is 87.51. It is optimal to exercise at the lowest node at time one year. If early exercise were not possible the value at this node would be 236.63. The gain made at the one year point is therefore 253.90 – 236.63 =17.27
A stock index is currently 990, the risk free rate is 5%, and the dividend yield...
A stock index is currently 1 ,500. Its volatility is 18%. The risk-free rate is 4% per annum (continuously compounded) for all maturities and the dividend yield on the index is 2.5% Calculate values for u, d, and p when a 6-month time step is used. What is the value a 12-month American put option with a strike price of 1,480 given by a two-step binomial tree.
The current stock price of a non-dividend-paying stock is $50, the risk-free interest rate is 10% per annum, and the volatility is 30% per annum. a) According to the BSM model what is the price of a three-month European put option with a 2. strike of $50? What would be the price of this option if the stock is expected to pay a dividend of $1.50 in two months? b)
A 9-month American put option on a non-dividend-paying stock has a strike price of $49. The stock price is $50, the risk-free rate is 5% per annum, and the volatility is 30% per annum. Use a three-step binomial tree to calculate the option price.
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?
A stock price is currently AUD 60; the risk-free rate is 5% and the volatility is 30%. What is the value of a two-year American put option with a strike price of AUD 62
A stock index currently stands at 500. The risk-free interest rate is 5 percent per annum (with continuous compounding) and the dividend yield is 3 percent per annum. What should the futures price for a 3-month contract be?
5) A three-month European put option is written on a stock that provides a continuous dividend yield of 2%; the strike price is $95, the risk-free rate is 2% and the stock's volatility is 40%. Assume that the stock is currently selling for $90. What is the price of the put?
A stock is currently priced at $75.00. The risk free rate is 4.5% per annum with continuous compounding. Use a one-time step Cox-Ross-Rubenstein model for the price of the stock in 13 months assuming the stock has annual volatility of 24.9%. Compute the price of a 13 month call option on the stock with strike $80.00.
5. A stock sells at $50. The price will be either $57.5 or $47.5 three months from now. Assume the risk-free rate is 12% per annum with continuous compounding. Consider a call option on the stock that has a strike price of $52.5 and a maturity of 3 months. a) Find a portfolio of the stock and bonds such that buying the call is equivalent to holding the portfolio. What is the cost of the portfolio? And what is the...
Question 1 a. A stock price is currently $30. It is known that at the end of two months it will be either $33 or $27. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a two-month European put option with a strike price of $31? b. What is meant by the delta of a stock option? A stock price is currently $100. Over each of the next two three-month periods it is...