Construct a hedge portfolio and by using the binomial option pricing model and find the values of Pu and Pd; and P. Explain your answer and describe the hedge portfolio. A stock currently priced at $100. One period later it can go up to $125, an increase of 25 percent, or down to $80, a decrease of 20 percent. Assume a put option is available with an exercise price of $100. Consider the example in a two-period world. The risk-free rate is 7 percent. The inputs are summarized as follows S = 100 d = 0.80 u = 1.25 X= 100 r = 0.07

Construct a hedge portfolio and by using the binomial option pricing model and find the values of Pu and Pd; and P. Explain your answer and describe the hedge portfolio. A stock currently priced at $100. One period later it can go up to $125, an increase of 25 percent, or down to $80, a decrease of 20 percent. Assume a put option is available with an exercise price of $100. Consider the example in a two-period world. The risk-free rate is 7 percent. The inputs are summarized as follows S = 100 d = 0.80 u = 1.25 X= 100 r = 0.07

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 25P

See similar textbooks

Similar questions

You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?
Consider the following portfolio. You write a put option with exercise price 90 and buy a put option on the same stock with the same expiration date with exercise price 95.a. Plot the value of the portfolio at the expiration date of the options.b. On the same graph, plot the profit of the portfolio. Which option must cost more?
An option trader has built a portfolio of three different call options onthe same underlying with the same maturity. The trader has boughtone call with a strike of 20 and also bought a call with a strike of50. The trader has sold two calls with a strike of 35. The currentunderlying price is 35. Tabulate, plot and describe the total payoffsfrom this portfolio. Given your payoff profile, what must be true aboutthe cost of building this portfolio?
You write a put option with X = 100 and buy a put with X = 110. The puts are on the same stock and have the same expiration date.a. Draw the payoff graph for this strategy.b. Draw the profit graph for this strategy.c. If the underlying stock has positive beta, does this portfolio have positive or negative beta?
a) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price K, a short position in five call options with exercise price 2K and a long position in four call options with exercise price 3K. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)? b) Draw the profit diagram of the portfolio above (and clearly state any assumptions you make). Recall that the profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?
If your portfolio includes 35 percent of X, 40 percent of Y and 25 percent of Z, answer the following questions: (a) Calculate the portfolio expected return. (b) Calculate the variance and the standard deviation of the portfolio. (c) If the expected T-bill rate is 3.80 percent, calculate the expected risk premium on the portfolio. (d) If the market index fund has the same expected return as your portfolio, without considering any transaction cost, would you consider selling your portfolio and investing the market index fund instead? Explain your thoughts.
a) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)? b) Draw the profit diagram of the portfolio above (and clearly state any assumptions you make). Recall that the profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?
Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. a. Find the beta of each stock. (Round your answers to 2 decimal places.) Stock A Stock D b. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. (Enter your answers as a whole percent.) Market Portfolio % Stock A % Stock D % c. If the T-bill rate is 5%, what does the CAPM say about the fair expected rate of return on the two stocks? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Stock A Stock D d. Which stock seems to be a better buy on the basis of your answers to (a) through (c)?
In a binomial model, a call option and a put option are both written on the same stock. The exercise price of the call option is 30 and the exercise price of the put option is 40. The call option’s payoffs are 0 and 5 and the put option’s payoffs are 20 and 5. The price of the call is 2.25 and the price of the put is 12.25. a. What is the riskless interest rate? Assume that the basic period is one year. b. What is the price of the stock today?
An investor buys a 6-month European put option with K, = $75 for $10, buys a 6- month European put option with K3= $85 for $5, and sells two 6-month European put options with K₂ = $80 for $7. what is the total payoff and profit on the entire portfolio/strategy using BUTTERFLY spread. please show calculation of payoff.
a) The cost of a portfolio consisting of a long position in a call option with strike price 50 and a short position in a call option with strike price 80 is zero (both call options are on the same stock and have the same maturity date). True or false? Explain. b) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)?
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 18% and a standard deviation of return of 20%. Stock B has an expected return of 14% and a standard deviation of return of 5%. The correlation coefficient between the returns of A and B is .50. The risk-free rate of return is 10%. The proportion of the optimal risky portfolio that should be invested in stock A is