(1 point) Suppose that a stock price is currently 57 dollars, and it is known that five months from now, the price will be either 17 percent higher or 17 percent lower. Find the value of a European put option on the stock that expires five months from now, and has a strike price of 54 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 7 percent. Answer= dollars.

(1 point) Suppose that a stock price is currently 57 dollars, and it is known that five months from now, the price will be either 17 percent higher or 17 percent lower. Find the value of a European put option on the stock that expires five months from now, and has a strike price of 54 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 7 percent. Answer= dollars.

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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Assume the Black-Scholes framework for a stock. You are given: i) The current stock price is 40 ii) The stock pays no dividends iii) The expected rate of appreciation is 16% iv) The stock's volatility is 30% v) The Black-Scholes price of a 6-month 42-strike European call on the stock is 3.22 vi) The continuously compounded risk-free rate is 8% You just bought a 6-month straddle which pays the absolute difference between the stock price after 6 months and 42. Calculate the probability of having a positive profit after 6 months.
The price of a stock, which pays no dividends, is $30 and the strike price of a three-year European call option on the stock is $27. The risk-free rate is 8% (continuously compounded). Which of the following is a precise lower bound for the option such that there are arbitrage opportunities if the price is below the lower bound and no arbitrage opportunities if it is above the lower bound? Round your answer to 2 decimal places. Question 12Answer a. $8.76 b. $8.42 c. $8.57 d. $8.70
i need the answer quickly
Suppose the 6-month Mini S&P 500 futures price is 1,345.99, while the cash price is 1,335.81. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Implied difference %
The price of a stock, which pays no dividends, is $30 and the strike price of a two-year European call option on the stock is $25. The risk-free rate is 8% (continuously compounded). Which of the following is a precise lower bound for the option such that there are arbitrage opportunities if the price is below the lower bound and no arbitrage opportunities if it is above the lower bound? Round your answer to 2 decimal places. a. $8.42 b. $8.76 c. $8.57 d. $8.70
Without using the Black‐Scholes model, compute the price of a European put option on a non‐dividend‐paying stock with the strike price is $70 when the stock price is $73, the risk‐free interest rate is 10% pa, the volatility is 40% pa, and the time to maturity is 6 months?
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
A stock price is currently $52. Its volatility is 35% p.a. . The risk-free interest rate is 8% p.a. with continuous compounding. What is the value of a 2-year European call option with a strike price of $55, using a 2-step binomial tree? Without doing any calculations, explain what would happen to the value of the option if the stock volatility decreases
We have a 2-state, 2-period world (i.e. t = 0, 1, 2). The current stock price is 100 and the risk- free rate each period is 2%. Each period the stock can either go up by 10% or down by 10%. A European call option on this stock with an exercise price of 100 expires at the end of the second period. If the stock moves down in period 1, how would you adjust your t = 0 hedge by trading only stock? (closest answer) buy about 0.39 shares of stock sell about 0.62 shares of stock buy about 0.09 shares of stock sell about 0.39 shares of stock sell about 0.09 shares of stock buy about 0.62 shares of stock
D6) You use the Black Scholes model to price a Call option on a stock with discrete dividends. The dividends will be given in months 1, 5, and 9, each 3 USD. The current value of the stock is 105 USD, the strike price is 90 USD, the continuously compounded annual risk-free rate is 0.05, the volatility is 0.08, the time to maturity is 12 months. Calculate the price of the option.
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?
A stock currently has a price of 45.00 and pays no dividends. One year from now, there is a 50% (risk-neutral) probability that the price of the stock will be 30.00 and 50% that it will be greater than 40.00. The risk-free rate is 4%. Calculate the price of a one-year European call option with an exercise price of 40.00. Possible Answer A 4.81 B 6.35 9.81 D 10.00 E 1135

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