Consider the expected return for two stocks in two different market conditions: Aggressive Stock 7% 32% Market Return 9% 18% Risk Free Rate 4% Defensive Stock 5% 16% 4 a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the market return is equally likely to be 9% or 18%? c. What are the alphas of each?

Consider the expected return for two stocks in two different market conditions: Aggressive Stock 7% 32% Market Return 9% 18% Risk Free Rate 4% Defensive Stock 5% 16% 4 a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the market return is equally likely to be 9% or 18%? c. What are the alphas of each?

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter6: Risk And Return

Section: Chapter Questions

Problem 14P: You have observed the following returns over time: Assume that the risk-free rate is 6% and the...

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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?
Market equity beta measures the covariability of a firms returns with all shares traded on the market (in excess of the risk-free interest rate). We refer to the degree of covariability as systematic risk. The market prices securities so that the expected returns should compensate the investor for the systematic risk of a particular stock. Stocks carrying a market equity beta of 1.20 should generate a higher return than stocks carrying a market equity beta of 0.90. Nonsystematic risk is any source of risk that does not affect the covariability of a firms returns with the market. Some writers refer to nonsystematic risk as firm-specific risk. Why is the characterization of nonsystematic risk as firm-specific risk a misnomer?
Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 7% 23 Aggressive Stock -4% 37 Defensive Stock Hurdle rate 4% Required: a. What are the betas of the two stocks? 11 b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 7% or 23% ? Also, assume a T-Bill rate of 4%. Complete this question by entering your answers in the tabs below. Required A Required B What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 7% or 23% ? Also, assume a T-Bill rate of 4%. Note: Do not round intermediate…
b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.
Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%. Complete this question by entering your answers in the tabs below. Required A Required B Required E What are the betas of the two stocks? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Aggressive stock Defensive stock Beta
Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 B 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.
Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.
Questions C and D is required. c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return 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 pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)
Consider the following table, which gives a security analyst's expected return on two stocks for two particular market returns: Market return Aggressive Stock Defensive Stock 7% 4% 2.5% 25 38 16 What is the expected rate of return on each stock if the market return is equally likely to be 7% or 25%?
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%.
Assume the expected return on the market is 7 percent and the risk-free rate is 4 percent. a. What is the expected return for a stock with a beta equal to 1.10? (Enter your answers in decimals. Do not enter percent values.) b. What is the market risk premium? (Enter your answers in decimals. Do not enter percent values.)
Calculate the coefficients of variation for the following stocks: Stock Expected return Standard deviation of return 1 0.065 0.25 2 0.06 0.17 3 0.14 0.24 What is the coefficient of variation for stock 1? What is the coefficient of variation for stock 2? What is the coefficient of variation for stock 3? f you want to get the best risk-to-reward trade-off, which stock should you buy? Stock 2 Stock 3 Stock 1