Stock price = £30. In 2 months, two months the price will be either £33 or £27. The risk-free interest rate is 10% p.a on a continuous compounding basis.
What will be the value of a 2-month European put option with a strike price of £31? (5 marks)
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Stock price = £30. In 2 months, two months the price will be either £33 or...
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...
A stock price is currently $50. It is known that at the end of 6 months it will be either $45 or $55. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a 6-month European put option with a strike price of $50?
A stock selling at $50 will either go up 20% or go down 10% each month for the next 3 months. The risk-free rate is 12% per annum with continuous compounding. Assume that a European put option is available for a strike price of $55 and a maturity of 3 months. a. Use a 3-step binomial model to calculate the price of the put option.
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.
Question 17 ou a) A stock price is currently $60. Over each ofthe next two three-month periods it is expected to go up by 8% or down by 7%. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a six-month European call option with a strike price of $61? (3 marks) b) Based on the information in part (a), what is the value of a six-month European put option with a strike price...
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?
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...
7. A firm’s stock sells at $40. The price will be either $35 or $47 three months from now. Assume the risk-free rate is 12% per annum with continuous compounding. a) What is the call price with a strike price of $43 and a maturity of 3 months? b) What is the put price with a strike price of $43 and a maturity of 3 months?
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...
Consider a European put option on the stock of XYZ, with a strike price of $30 and two months to expiration. The stock pays continuous dividends at the annual continuously com- pounded yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either $18 per share or $29 per share. Use the one-period binomial option pricing to find...