Use a 3-step binomial tree to value a put option that expires in 6 months’ time. The interest rate is 10% annually continuously compounded. The spot price is $100. U= 1.2 and D = 0.8. The strike price of the option is $95. Show all of your calculations. Is this an “In The Money”, “At The Money”, or “Out Of The Money” option?

Use a 3-step binomial tree to value a put option that expires in 6 months’ time. The interest rate is 10% annually continuously compounded. The spot price is $100. U= 1.2 and D = 0.8. The strike price of the option is $95. Show all of your calculations. Is this an “In The Money”, “At The Money”, or “Out Of The Money” option?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 6P: Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The...

See similar textbooks

Similar questions

Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)
The following information is given: Time to expiration 1 year. Standard deviation 40% per year. Exercise price $72. Stock price $72. Risk free rate 4% a year. Use the Black–Scholes formula to find the value of the calloption. What is the value of the put option with the same exercise price and time to expiration? What is the value of the call option if time to expiration is 3 years? What is the value of the call option if the standard deviation is 20%? What is the value of the call option if the exercise price is $90? What is the value of the call option if the current stock price is $50? What is the value of the call option if the risk-free rate is 8%?
Use a 3-step binomial tree to value a European put option. Draw the tree. The option expires in 6 months. The interest rate is 10% annually continuously compounded. The spot price is at 100. U= 1.2 and D = 0.8. The strike price of this option is 95. Show all of your calculations.
). Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? a. $ 2.65 b. $ 1.78 c. $ 3.69 d. $ 4.22 e. None of the above
Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? $ 2.65 $ 1.78 $ 3.69 $ 4.22 None of the above
You need to price a put option on the stock of APPLE with an exercise price of $50 and six months to expiration. The current stock price of APPLE is $52, the risk-free rate is 10% p.a. (c.c.) and the volatility of the stock price of APPLE is 30% p.a. APPLE will pay a dividend of $1 in exactly four months’ time. This put option is to be priced using a two-period binomial option pricing model, with three months in each period. QUESTION: Draw the two-period tree diagram for the adjusted stock price (that recognizes the impact of the dividend) of APPLE. Show the expiration date payoffs from the put option.
A call option has a strike price of 55, expires in 6 months, and has a price of $5.04. If the annual risk free rate is 5%, and the current stock price is $50, what should the corresponding put with the same exercise price and expiration date be worth?
Calculate the price of a put option on stock using a three-time-step binomial tree model. We know that the current stock price is $70, the strike price is $73, the volatility of the stock is 25%, the maturity of the option is 3 years, and the annual effective risk-free rate is 10%, yearly compounding. How much does this put option worth today if it is American? According to the Put-Call Parity, what should be the price of the European call option that is written on the same stock with the same expiration and the same strike price?
A power call option pays off (max(ST-X, 0))2 at time T, where ST is the stock price at time T and X is the exercise price. A stock price is currently $25. It is known that at the end of one year it will be either $30 or $20. The risk-free rate of interest with continuous compounding is 7.5% per annum. Calculate the value of a one year power call option with an exercise price of $25. a. What is the delta of the power call option?(sample answer: 0.75) b. What is the risk neutral probability of up movement?(sample answer: 0.75) c. What is the value of the power option?(sample answer: $15.75)
Suppose an investor shorts a straddle (a call option + a put option with the same strike price) with the following parameter values: S = 200, K = 250, σ = 0.30, RF = 0.05, q = 0, T = 5 years, and the interest rate, volatility, and the dividend yield are all given as annual values. Assuming that average daily returns are approximately zero, what is the 5% daily Delta-Gamma VaR of the short straddle position in dollars? Use 3 decimal places for your answer. (If you need to round the Gamma in an intermediate step, please use at least *6 digits*.)
The current price of a stock is $20, and at the end of one year its price will be either $22 or $18. The annual risk-free rate is 2.0% (use daily compounding with 365 days/year), based on daily compounding. A 1-year call option on the stock, with an exercise price of $19, is available. Based on the binominal model, what is the option's value?(Please Show Work)
What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price = $76 Exercise price = $75 Risk-free rate = 4.50% per year, compounded continuously Maturity = 4 months Standard deviation = 63% per year Call price $ Put price $