Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
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Chapter 6, Problem 14P
You have observed the following returns over time:
Assume that the risk-free rate is 6% and the market risk premium is 5%.
- a. What are the betas of Stocks X and Y?
- b. What are the required
rates of return on Stocks X and Y? - c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?
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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-fourthof 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).
Consider a portfolio consisting of the following three stocks: E The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%.
a. Compute the beta and expected return of each stock.
b. Using your answer from part (a), calculate the expected return of the portfolio.
c. What is the beta of the portfolio?
d. Using your answer from part (c), calculate the expected return of the portfolio and verify that it matches your answer to part (b).
a. Compute the beta and expected return of each stock. (Round to two decimal places.)
TITLT
Data table
Portfolio Weight
(A)
Volatility
(B)
Correlation
(C)
Expected Return
(E)
%
Beta
(D)
НЕС Согр
0.28
13%
0.33
Green Widget
(Click on the following icon a in order to copy its contents into a spreadsheet.)
0.39
27%
0.61
%
Portfolio Weight
Alive And Well
0.33
14%
0.43
Volatility
13%
Correlation with the Market Portfolio
НЕС Согр
Green Widget
0.28
0.33
b. Using your answer from part (a), calculate the expected…
Assume 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…
Chapter 6 Solutions
Financial Management: Theory & Practice
Ch. 6 - The probability distribution of a less risky...Ch. 6 - Security A has an expected return of 7%, a...Ch. 6 - If investors’ aversion to risk increased, would...Ch. 6 - Prob. 5QCh. 6 - Your investment club has only two stocks in its...Ch. 6 - Prob. 2PCh. 6 - Suppose that the risk-free rate is 5% and that the...Ch. 6 - An analyst gathered daily stock returns for...Ch. 6 - A stocks return has the following distribution:...Ch. 6 - The market and Stock J have the following...
Ch. 6 - Suppose rRF = 5%, rM = 10%, and rA = 12%. a....Ch. 6 - As an equity analyst you are concerned with what...Ch. 6 - Your retirement fund consists of a $5,000...Ch. 6 - Prob. 10PCh. 6 - You have a $2 million portfolio consisting of a...Ch. 6 - Stock R has a beta of 1.5, Stock S has a beta of...Ch. 6 - You are considering an investment in either...Ch. 6 - You have observed the following returns over...Ch. 6 - What are investment returns? What is the return on...Ch. 6 - Graph the probability distribution for the bond...Ch. 6 - Use the scenario data to calculate the expected...Ch. 6 - What is the stand-alone risk? Use the scenario...Ch. 6 - Your client has decided that the risk of the bond...Ch. 6 - Your client is shocked at how much risk Blandy...Ch. 6 - Explain correlation to your client. Calculate the...Ch. 6 - Prob. 8MCCh. 6 - Prob. 9MCCh. 6 - Prob. 10MCCh. 6 - Prob. 11MCCh. 6 - Calculate the correlation coefficient between...Ch. 6 - Prob. 13MCCh. 6 - (1) Suppose the risk-free rate goes up to 7%. What...Ch. 6 - Your client decides to invest $1.4 million in...Ch. 6 - Jordan Jones (JJ) and Casey Carter (CC) are...Ch. 6 - What does market equilibrium mean? If equilibrium...Ch. 6 - What is the Efficient Markets Hypothesis (EMH),...
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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%. a. What are the betas of Stocks X and Y? b. What are the required rates of return on Stocks X and Y? c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?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_forwardHow 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%.arrow_forward
- Suppose you have the following expectations about the market condition and the returns on Stocks X and Y. a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?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_forwardSuppose that the risk-free rate r, = 0.03, the expected market return uM = 0.11, and the market volatility oM = 0.16. Stock A has beta = 1.2 and diversifiable risk o̟ = 0.08. Stock B has beta = 0.8 and 0, = 0.03. Stock C has beta = 1.5 and o̟ = 0.1. Consider a portfolio P which is 45% in Stock A, 25% in Stock B, and 30% in Stock C. (a) Find the value of beta for this portfolio. (b) Assuming CAPM, find the portfolio's expected return µp. (c) Find the standard deviation of the portfolio's systematic (or mar- ket) risk. (d) Find the standard deviation o, of the diversifiable risk of P. (You may assume that the diversifiable risks of A,B, and C are uncorrelated.)arrow_forward
- Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.arrow_forwardUse 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_forwardSuppose that the risk-free rate is 5% and that the market risk premium is 7%.What is the required return on (1) the market, (2) a stock with a beta of 1.0,and (3) a stock with a beta of 1.7?arrow_forward
- 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 (Rs) on stock B. The risk-free rate (R:) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (Ba) to beta of B (B).arrow_forwardConsider a portfolio consisting of the following three stocks: LOADING... . The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b. Question content area bottom Part 1 a. Compute the beta and expected return of each stock. (Round to two decimal places.) Portfolio Weight (A) Volatility (B) Correlation (C) Beta (D) Expected Return (E) HEC Corp 0.27 11% 0.33 enter your response here enter your response here% Green Widget 0.33 29% 0.71 enter your response here enter your response here% Alive And Well 0.40 11% 0.53 enter your response here enter…arrow_forwardAssume 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 (bA) to beta of B (bB). (please show all workings)arrow_forward
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