Suppose you are attempting to value a 1-year expiration option on astock with volatility (i.e., annualized standard deviation) of σ = 0.34.What would be the appropriate values for u and d if your binomialmodel is set up using:a. 1 period of 1 year.b. 4 subperiods, each 3 months.c. 12 subperiods, each 1 month.Note: Do not round intermediate calculations. Round your answers to4 decimal places.SubperiodsAt = T/nu = exp(σ√ At)d = exp(-σ√ At)a.11/1 = 1b.41/4 = 0.25C.121/12 0.0833

a. 1 period of 1 year:In this case, the option will expire in exactly 1 year, so there is only 1…

Answered: Suppose you are attempting to value a…

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 5P

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Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = .40. What would be the appropriate values for u and d if your binomial model is set up using:a. 1 period of 1 year.b. 4 subperiods, each 3 months.c. 12 subperiods, each 1 month.
Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = 0.34. What would be the appropriate values for u and d if your binomial model is set up using: 1 period of 1 year. 4 subperiods, each 3 months. 12 subperiods, each 1 month.
Consider an American put option with time to expiry 15 months, and a strike of 74. The current price of the underlying is 71. Divide the time to expiry into three 5-months intervals. Assume that in each 5-months interval, the price can either rise by 5, or fall by 5, with unknown probability. The risk-free (continuously compounding) rate is 0.042. Using a binomial tree, identify the circumstances under which early exercise would be rational for the holder of this option. Draw the binomial tree and show the necessary calculation and briefly explain the answer.
). 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
Assume the following inputs for a call option: (1) current stock price is $25, (2) strike price is $28, (3) time to expiration is 4 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.33. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.
Consider a two-period binomial model for the stock price with both periods of length one year.Let the initial stock price be S(0) =GH¢100 and assume that the stock pays no dividends.Let the up and down factors be u = 1.25 and d = 0.75, respectively. Let the continuouslycompounded interest rate be r = 0.05 per annum. Oliver is interested in purchasing a chooseroption with the provision that he can choose if the option is a put or a call after one year. Thestrike for this option is GH¢100 and the expiry date is two years. Find the price of the chooseroption.
Consider the following data for a certain share. Current Price = S0 = Rs. 80 Exercise Price = E = Rs. 90 Standard deviation of continuously compounded annual return = \sigma = 0.5 Expiration period of the call option = 3 months Risk – free interest rate per annum = 6 percent a. What is the value of the call option? Use the normal distribution table. b. What is the value of a put option?
Suppose we have both a European call option and put option with an exercise price of $53 and the underlying stock is currently priced at $50. We are to note also that both options will expiry in six months. Further, market surveys suggest that the price of the stock can either go up by 20% or decrease by 25%. The current risk-free rate of interest is 2% per annum. Required: (a) What is the expected price of the underlying asset at expiry date? (b) What is the value of the call option, using the binomial model? (c) If the put option is selling for $4.80, what should be the price of the call option to avoid arbitrage?
Use the Black-Scholes formula to find the value of the following call option.i. Time to expiration 1 year.ii. Standard deviation 40% per year.iii. Exercise price $50.iv. Stock price $50.v. Interest rate 4% (effective annual yield).Now recalculate the value of this call option, but use the following parameter values.Each change should be considered independently.i. Time to expiration 2 years.ii. Standard deviation 50% per year.iii. Exercise price $60.iv. Stock price $60.v. Interest rate 6%.c. In which case did increasing the value of the input not increase your calculation of option value?
Suppose we have both a European call option and put option with an exercise price of $53 and the underlying stock is currently priced at $50. We are to note also that both options will expiry in six months. Further, market surveys suggest that the price of the stock can either go up by 20% or decrease by 25%. The current risk-free rate of interest is 2% per annum. (a) What is the expected price of the underlying asset at expiry date? (b) What is the value of the call option, using the binomial model? (c) If the put option is selling for $4.80, what should be the price of the call option to avoidarbitrage?
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 Exercise price Risk-free rate = $70 = $65 = 4.2% per year, compounded continuously = 4 months Maturity Standard deviation = 60% per year Call price=? Put price=?

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