Intermediate Financial Management
14th Edition
ISBN: 9780357516782
Author: Brigham, Eugene F., Daves, Phillip R.
Publisher: Cengage Learning
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Chapter 5, Problem 5P
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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.
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.
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.
Chapter 5 Solutions
Intermediate Financial Management
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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- Suppose 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_forwardThe 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_forward
- Use the expected return-beta equation from the CAPM. What is the expected return for a stock if the risk-free rate is 4%, beta 0.9 and the expected return for the market portfolio is 6%?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)arrow_forwardBlack 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 $36, (3) time to expiration is 5 months, (4) annualized risk-free rate is 7%, and (5) variance of stock return is 0.09. Do not round intermediate calculations, Round your answer to the nearest cent. 5arrow_forward
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