3. Consider two perfectly correlated stocks A and B. The standard deviation of return on stock A is 10% and that of stock B is 15%. The standard deviation of the return of a portfolio that invests equally in stocks A and B is generally A. equal to 12.5% D. greater than 14% B. smaller than 12.5% C. greater than 12.5%

3. Consider two perfectly correlated stocks A and B. The standard deviation of return on stock A is 10% and that of stock B is 15%. The standard deviation of the return of a portfolio that invests equally in stocks A and B is generally A. equal to 12.5% D. greater than 14% B. smaller than 12.5% C. greater than 12.5%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Stock A has a correlation with the market of 0.53. Assuming that the standard deviation of returns for Stock A is 24.0% and that the standard deviation of returns for the market is 10.0%, what is beta for stock A? A 1.31 B. 1.27 C. 0.17 D. 0.22
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
v.2
Suppose securities A, B, and C have the following expected return and risk. Stock Expected return Risk A 8% 6% B 7% 9% C 13% 9% What is the coefficient of variation for stock A?
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. III. If Stock B is less highly correlated with…
1. Stock Y has a beta of 1.2 and an expected return of 11.1 percent. Stock Z has a beta of .8 and an expected return of 7.85 percent. If the risk-free rate is 2.4 percent and the market risk premium is 7.2 percent, the reward-to-risk ratios for stocks Y and Z are ____ and ____ percent, respectively. Since the SML reward-to-risk is ____ percent, Stock Y is ____(undervalued/ overvalued) and Stock Z is ____(undervalued/ overvalued).
Q4: Assume the following information for stocks A and B. • Expected return on Stock A = 18%. • Expected return on Stock B = 23%. • Correlation between returns of Stock A and Stock B = 0.10. • Standard deviation of returns on Stock A = 40%. • Standard deviation of returns on Stock B = 50%. Compute The expected return Standard deviation
Consider the following information for Stocks A, B, and C. The returns on the three stocks, while positively correlated, are not perfectly correlated. The risk-free rate is 5.50%. Stock A B C Expected Return 10.00% 10.90% 11.80% Standard Deviation 15% 15% 15% Beta 1.5 1.8 2.1 Let , be the expected return of stock i, ra represent the risk-free rate, b represent the Beta of a stock, and TM represent the market return. Using SML equation, you can solve for the market risk premium which, in this case, equals approximately The beta for Fund P is approximately Consider Fund P, which has one third of its funds invested in each of stock A, B, and C. You have the market risk premium, the beta for Fund P, and the risk-free rate. Hint: Recall that because the market is in equilibrium, the required rate of return is equal to the expected rate of return for each stock. This information implies that the required rate of return for Fund P is approximately Which of the following is the reason why the…
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
1. A stock has a beta of 1.15 and an expected return of 14 percent. A risk-free asset Currently earns 4.2 percent. a . What is expected return on a portfolio that is equally in inverted assets? b. if portfolio of the two assets has beta of 75, what are the portfolio weights? C. if a portfolio of the two assets has an expected return of 8 percent .what is its beta? the two
2. Let random variables A and B be the monthly returns of stocks A and B, respectively. Let C be the monthly returns of Crude Oil Index (WTI). Suppose p(A,C) = correlation between A and C= 0.50 p(B,C) = correlation between B and C= -0.45 • p(A,B) = correlation between A and B = -0.15 o(A) = standard deviation of A = 0.45 o(B) = standard deviation of B = 0.75 o(C) = standard deviation of C= 0.55 Moreover, suppose you decided to form a portfolio D, which invests 60% in stock A and 40% in stock B. Let random variable D be the monthly returns of portfolio D. a. b. C. Y : Determine the covariances between (i.) A and C, (ii.) B and C, and, (iii.) A and B. Compute for the covariance between C and D. Compute for the expected standard deviation of D.
3

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