The index model has been estimated usinghistorical excess return data for stocks A, B,and C, with the following results:RA = 0.02 + 0.9RM + eARB =0.04 + 1.2RM + eBRC = 0.10 + 1.ORM + eCOMoM = 0.22o(eA) = 0.21o(eB ) = 0.11o(eC ) = 0.23a. What are the standard deviations of stocksA, B, and C?b. Break down the variances of stocks A, B,and C into their systematic and firm-specificcomponents.c. What is the covariance between thereturns on each pair of stocks?d. What is the covariance between eachstock and the market index?

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Answered: The index model has been estimated…

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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Assume that using the Security Market Line 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 the market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB).
S Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.20RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squareд = 0.25; R-squareg = 0.15 What is the standard deviation of each stock? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Stock A Stock B Standard Deviation % %
Given the following information, determine the beta coefficient for Stock L that is consistent with equilibrium: = 8%; rRF = 3%; IM = 12%. Round your answer to two decimal places.
You run a regression for the Tesla stock return on a market index to estimate the SML equation and find the following Excel output: Multiple R R-Square Adjusted R-Square Standard Error Observations Intercept Market = 0.28 0.25 0.02 40.01 60 13.35 and 0.97 0.8 and 0.1 0.28 and 0.25 0.26 and 1.36 0.2 and 0.75 Coefficients Standard Error t-Stat p-Value 0.2 0.75 The resulting SML equation for Laternios is given by: Er Laternios] 13.35 0.26 0.80 0.97 1.36 0.10 + __ × (E[rM] - rf)
The index model has been estimated from the excess returns for stock A with the following results: = RA 12.00% +1.55RM+ eA °M = 24.00% σ(eд) = 18.50% What is the standard deviation of the return for stock A? (Round your answer to 2 decimal places.) Standard deviation %
K (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)
Consider the following probability distribution for stocks A and B: Table 4 Probability Distribution for Stocks A and B State Probability Return on Stock A Return on Stock B 1 0.1 10% 8% 2 0.2 13% 7% 3 0.2 12% 6% 4 0.3 14% 9% 5 0.2 15% 8% The variances of Stocks A and B are _____ and _____, respectively. Group of answer choices .015%; .019% .022%; .012% .032%; .02% .015%; .011% .014%; .021%
In the CAPM world, if Sharpe ratio of the market portfolio is 1.25 and the correlation coefficient between stock i and the market portfolio is 0.60, what is the stock i's Sharpe ratio? → (1) 0.25; (2) 0.45; (3) 0.50; (4) 0.75; (5) 0.80; (6) 1.00; (7) 1.25; 8 (8) 1.50; (9) 1.75; (10) 2.05;
When we test CAPM using historical data, a classic test is to regress excess returns of stocks onto the stock betas, using the following regression specification across stocks: - Rp Rf =α+By+ε where Rup - Rf is the average excess return of a security or portfolio, ẞ is the estimated beta of the security or portfolio, & is the regression residual, and a (Alpha) and y (Gamma) are regression coefficients. Based on the regression, which of the following statements are true if CAPM is true? Select all two correct statements. The Alpha is zero The Alpha is positive The Gamma is positive The Gamma is zero
Given the following information, determine the beta coefficient for Stock L that is consistent with equilibrium: = 8%; rRF = 3%; rM = 12%. Round your answer to two decimal places.
Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)
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.

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