Suppose a stock is currently selling for $50, its volatility is 30%, the continuous dividend yieldis 4% and the continuously compounded interest rate is 4%. Calculate the price of a two-year$50-strike American put option on the stock using a two-period binomial model.

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Answered: Suppose a stock is currently selling…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose that a stock price is currently 49 dollars, and it is known that one month from now, the price will be either 8 percent higher or 8 percent lower. Find the value of an American call option on the stock that expires one month from now, and has a strike price of 51 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 7 percent.
V4. Using a two-step binomial tree, calculate the value of an American call option where the underlying stock pays a dividend of $1 per share just before the option’s expiration. The stock is trading at $22, the strike is $20, the risk-free rate is 4%. The option is outstanding for another two years (each step in the binomial tree is one year long). The stock is expected to rise or fall 10% in each one-year period prior to expiry. Can you please explain/show in Excel including formulas.
Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
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The strike price of a European put option is $30, the current price of the underlying stock is $24, the risk-free nominal rate of return is 6% and every six months the stock can either increase by a factor of 1.6 or decrease by a factor of 0.5. If the probability of the stock decreasing every six months ( nd) is 0.75, calculate the price of the put option if it is priced under the Binomial Method and expires in one year. I
Consider a two - period binomial model, where each period is 6 months. Assume the stock price is $75.00, \sigma 0.35, and r = 0.05. An American call option with a strike price of $80 would be exercised early at what dividend yield? () (A) 5.0% (B) 7.0 % (C) 9.0% (D) Never exercise early
You buy a share of stock, write a 1-year call option with X = $85, and buy a 1-year put option with X = $85. Your net outlay to establish the entire portfolio is $83.3. Required: What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. Note: Round your answer to 2 decimal places.
1. What is the fair value for a two-year American put option with a strike price of $85 over a stock which is trading at $86.15 which has a volatility of 37% when the risk free rate is 1.75% using the two step binomial tree? a) What is the delta of this option? b) What is the probability of a down movement in this stock? c) What is the probability of an up movement in this stock? d) What is the proportional move up for this stock e) What is the proportional move down for this stock f) What would be the value of the call option with the same strike price?
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
1) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $130 or fall to $70 after one month. The gross one month risk - free rate is 1.02 %. Using risk neutral pricing, what is the price of a 100- strike one-month call option? Round your calculaton for q and 1 - q to four (4) decimal places. a. $14.90 b. $14.71 c. $15.05 d. $15.69 2) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $120 or fall to $80 after one month. The gross one month risk - free rate is 1.03%. Using risk neutral pricing, what is the price of a 100-strike one-month put option? Round your calculaton for q and 1 - q to three (3) decimal places a. $8.00 b. $8.25 c. $8.50 d. $8.75
Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.
5) A certain non-dividend paying stock is trading at $50 and its volatility is o = 25%. The risk-free interest rate is 1.25% per anuum with continuous compounding. a) Use a two-step tree (At = .5) to compute the value of 1-year European put option with strike price of $50? b) What would it be the price if the put were to be American?

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Suppose a stock is currently selling for $50, its volatility is 30%, the continuous dividend yield is 4% and the continuously compounded interest rate is 4%. Calculate the price of a two-year $50-strike American put option on the stock using a two-period binomial model.