Chapter 6, Problem 14: Assume the data for two stocks, X and Y, are given below. Could the equilibrium risk free rate of return be greater than 10%? Why or why not? Assume the returns on investments in the two stocks are perfectly negatively correlated. Stock A B Expected Return 8% 13% Standard Deviation 40% 60%

Chapter 6, Problem 14: Assume the data for two stocks, X and Y, are given below. Could the equilibrium risk free rate of return be greater than 10%? Why or why not? Assume the returns on investments in the two stocks are perfectly negatively correlated. Stock A B Expected Return 8% 13% Standard Deviation 40% 60%

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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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.
2. Suppose that the market model for stocks A and B is estimated with the following results: RA = 1% +0.9*RM+EA RB = -2% + 1.1*RM+EB The standard deviation of the markets returns is 20% and firm specific risk (standard deviation) equals 30% for A and 10% for B. a. Compute the risk (standard deviation) of each stock and the covariance between them. Suppose we form an equally weighted portfolio of stocks A and B. What will be the nonsystematic standard deviation of that portfolio? b.
Problem 8.13 (CAPM, Portfolio Risk, and Return) Consider the following information for stucks A, B, and C. The returns on the three stocks positively correlated, but they are not perfectly correlated. That is, each of the correlation Coefficients is between 0 and 1₁) ame Stock Expected Return Stendanction Beta A 6.25% 15% 0.7 B 7.50 15 8.50 15 C 112 1.6 Find P has one-third of its funds invested of each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is required returns equal expected returns) a) What is the market risk premium (YM-XRF)? 5) What is the beta of Fund P? c) What is the required return of Fund P?
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.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the covariance between each stock and the market index?
Q#10: Chapter 08: The index model has been estimated for stocks A and B with the following results: RA= 0.01 +0.5RM + eA. RB = 0.02 + 1.3RM + eB. OM = 0.25; σ(EA) = 0.20; σ(eB) = 0.10. a. b. The covariance between the returns on stocks A and B is The standard deviation for stock A is The standard deviation for stock B is C. d. Discuss the advantages of the single-index model over the Markowitz model.
Compute the abnormal rates of return for the following stocks during period t (ignore differential systematic risk): Stock % % % % BFT % B F T UE Rit = return for stock i during period t Rmt = return for the aggregate market during period t Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBE: ARF: ARTI: ARC: AREL: с Rit 11.5% 9.2 12.5 12.5 15.9 Rmt 4.7% 6.2 6.6 15.2 11.1
Problem 2: You are given the following probability distribution for a stock: Pr. Outcome 4 -4% .6 12% A. Compute the expected return B. Compute the standard deviation C. Presuming the stock returns are normally distributed, what do these results indicate?
Problem 2. Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.00% + 1.10RM + A RB = -0.60% + 0.90RM + eB The R-squared of the estimate for stock A is 0.35 and the R-squared of the estimate for stock B is 0.40. The standard deviation of the market is OM = 30%. Assume you create portfolio P with weights of 120% in A and -20% in B. These weights mean that you go long stock A and short stock B. a) What is the standard deviation of the portfolio? [Hint: R-squared is the variance explained by the market risk B²o divided by the variance in the stock o}.] b) What is the beta of the portfolio? c) What is the firm-specific variance of the portfolio? (Round to 3 decimals.)
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…
QG. The following information is available about the stocks of two companies A and B: Stock A Stock B Expected Return (%) Probability -5 12 15 20 0.05 0.55 0.35 0.05 Expected Return (%) Probability 5 15 18 20 0.05 0.65 0.20 0.10 Stock Standard Deviation of Returns (%) A B 25 35 The coefficient of correlation between the returns on A and B is 0.05. A portfolio is constructed by allocating the funds between A and B in the ratio of 2:3. Calculate the expected return on the portfolio. b. Calculate the portfolio risk.
Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.

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