Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN: 9781337395083
Author: Eugene F. Brigham, Phillip R. Daves
Publisher: Cengage Learning
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Chapter 5, Problem 5P
Summary Introduction
To determine: Price of call option according to Black-Scholes option pricing model.
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Black-Scholes Model
Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $32, (2) strike price is $37, (3) time to expiration is 3 months, (4)
annualized risk-free rate is 7%, and (5) variance of stock return is 0.16. Do not round intermediate calculations. Round your answer to the nearest cent.
How do you find the market risk premium and market expected return given the expected return of stock, beta, and risk free rate? Example:
The expected return of a stock with a beta of 1.2 is 16.2%. Calculate the market risk premium and the market expected return, given a risk-free rate of 3%.
Use the Black-Scholes Model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $35, (3) time toexpiration is 4 months, (4) annualized risk-free rate is 5%, and (5) varianceof stock return is 0.25.
Chapter 5 Solutions
Intermediate Financial Management (MindTap Course List)
Ch. 5 - Define each of the following terms:
Option; call...Ch. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 1PCh. 5 - The exercise price on one of Flanagan Companys...Ch. 5 - Black-Scholes Model
Assume that you have been...Ch. 5 - Put–Call Parity
The current price of a stock is...Ch. 5 - Prob. 5PCh. 5 - Binomial Model The current price of a stock is 20....Ch. 5 - Prob. 7P
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- 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?arrow_forwardAssume 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.arrow_forwardSuppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.arrow_forward
- The risk-free rate is 5.6%, the market risk premium is 8.5%, and the stock’s beta is 2.27. What is the required rate of return on the stock, E(Ri)? Use the CAPM equation.arrow_forwardAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…arrow_forwardSuppose the market risk premium is 9 % and also that the standard deviation of returns on the market portfolio is 0.26 . Further assume that the correlation between the returns on ABX (Barrick Gold) stock and returns on the market portfolio is 0.62 , while the standard deviation of returns on ABX stock is 0.36 . Finally assume that the risk-free rate is 2 %. Under the CAPM, what is the expected return on ABX stock? (write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1.234)arrow_forward
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- Assume the risk-free rate is r = 3%. Consider the data below:Stock(stock 1, stock 2)Expected Return(15%,7%)Volatility(40%,30%)a) Find the What the minimum variance portfolio when ρ12 = 0? and then computeits expected return and volatility?b) Find the minimum variance portfolio when ρ12= =0.4? and then compute itsexpected return and volatility?c) Determine the tangent portfolios & their respective mean returns and volatilities.arrow_forward(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates of return of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.arrow_forwardUse the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $32, (2) strike price is $37, (3) time to expiration is 3 months, (4) annualized risk-free rate is 6%, and (5) variance of stock return is 0.25. Do not round intermediate calculations. Round your answer to the nearest cent.arrow_forward
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