Consider the two (excess return) Index-model regression results for stocks A and B. The risk-free rate over the period was 4%, and the market's average return was 11% Performance is measured using an Index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, a(e) Standard deviation of excess returns Stock A 1% +1.2(rm -rf) Stock B 2% +0.8(rm -rf) 0.683 12.1% 0.49 20.9% 23.4% 28.5% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances?

Consider the two (excess return) Index-model regression results for stocks A and B. The risk-free rate over the period was 4%, and the market's average return was 11% Performance is measured using an Index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, a(e) Standard deviation of excess returns Stock A 1% +1.2(rm -rf) Stock B 2% +0.8(rm -rf) 0.683 12.1% 0.49 20.9% 23.4% 28.5% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances?

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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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%
Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 7%, and the market's average return was 14%. Performance is measured using an index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, o(e) Standard deviation of excess returns Stock A 1% +1.2(rm - rf) Stock B 2% +0.8(rm – rf) 0.635 0.466 11.3% 22.6% 20.1% 26.9% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances? Complete this question by entering your answers in the tabs below. Required A Required B Calculate the following statistics for each stock: Note: Round your answers to 4 decimal places. i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure Stock A Stock B % %
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 excess return index model regression results Ra*= -0.059616 + 0.957478Rm* where; \sigma M = 0.80226720, the return on the market portfolio is 0.085306, and the risk-free rate is 0.018302. Note Ra* and Rm* are excess returns. Calculate the actual return for Stock A. Round to 4 decimals, and present answer as a decimal (.08, not 8%) Answer: 0.0228
You ran a regression of the excess return on Walmart's stock on the excess return on the market. You found the following: alpha=1.5%, beta-2.818, R^2=0.623. If Walmart's total volatility was 0.310 in that same period, what must have been the markets volatility in that same period.
You are given the following partial covariance and correlation tables from historical data: Securities J K Market Securities J K Market 1.24 1.11 1.17 1.03 Covariance Matrix K 0.90 J 0.0020480 0.0021600 Also, you have estimated that the market's standard deviation is 4.3 percent. For the coming year, the expected return on the market is 14.0 percent and the risk-free rate is expected to be 4.0 percent. Given this information, determine the beta for Security K for the coming year, assuming CAPM is the correct model for required returns. Correlation Matrix K 0.60 1.00 0.90 1.00 0.60 0.80 Market 0.0020480 0.0021600 Market 0.80 0.90 1.00 Ston sharing Hidel lines We
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk-free return during the sample period was 4%. Guardian Market Portfolio Average return 14 % 10 % Standard deviation of returns 27 % 21 % Beta 1.5 1 Residual standard deviation 4 % 0 % Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.)
Compute the abnormal rates of return for the following stocks assuming the following systematic risk measures (betas): Rit = return for stock i during period t Rmt = return for the aggregate market during period t Bi = beta for stock i Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBt: ARFt: ARTt: ARct: ARET: % % % % Stock B F T C E % Rit 10.1% 9.4 13.2 11.2 15.1 Rmt 3.9% 8.5 10.0 15.6 11.2 Bi 1.00 1.10 1.45 0.65 -0.40
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 0.60 X 4% Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) Answer is complete but not entirely correct. Information ratio Market Portfolio 10% 21% 1 0%
Example: Consider the following data for a particular sample period: 　 Portfolio P Market M Average return 35% 28% Beta 1.20 1.00 Standard deviation 42% 30% Nonsystematic risk, σ(e) 18% 0 The T-bill rate during the period was 6%. A) Calculate the market and portfolio returns using sharpe's measure, treynor's measure, jensen's measure and information ratio B) Compare and comment on results of each measure.
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