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 i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) Stock A % Stock A 1% + 1.2 (rm -rf) 0.635 11.3% 22.6% % Stock B % % Stock B 2% +0.8( rm -rf) 0.466 20.1% 26.9% b. Which stock is the best choice under the following circumstances? i. This is the only risky asset to be held by the investor. ii. This stock will be mixed with the rest of the investor's portfolio, currently composed solely of holdings in the market-index fund. ii. This is one of many stocks that the investor is analyzing to form an actively managed stock portfolio.

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 i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) Stock A % Stock A 1% + 1.2 (rm -rf) 0.635 11.3% 22.6% % Stock B % % Stock B 2% +0.8( rm -rf) 0.466 20.1% 26.9% b. Which stock is the best choice under the following circumstances? i. This is the only risky asset to be held by the investor. ii. This stock will be mixed with the rest of the investor's portfolio, currently composed solely of holdings in the market-index fund. ii. This is one of many stocks that the investor is analyzing to form an actively managed stock portfolio.

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 two stocks, Stock D, with an expected return of 19 percent and a standard deviation of 34 percent, and Stock I, an international company, with an expected return of 7 percent and a standard deviation of 22 percent. The correlation between the two stocks is -0.20. What are the expected return and standard deviation of the minimum variance portfolio? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Expected return Standard deviation 7.66 % 10.07%
What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? Note: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format. Year 1 2 3 4 Return (%) Year1: -4.1% Year2: 27.6% Year 3: 12.3% Year 4: 3.6%
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
he last four years of returns for a stock are as shown here: LOADING... . a. What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? Note: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format. Question content area bottom Part 1 a. What is the average annual return? The average return is enter your response here%. (Round to two decimal places.) Part 2 b. What is the variance of the stock's returns? The variance of the returns is enter your response here. (Round to five decimal places.) Part 3 c. What is the standard deviation of the stock's returns? The standard deviation is enter your response here%. (Round to two decimal places.) Time Remaining: 00:26:16 pop-up content starts Data table (Click on the following icon in order…
Based on the information, calculate expected returns for each share, variance for each share and standard deviation for each share
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
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
The last four years of returns for a stock are as shown here: a. What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? Note: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format.
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.
pm.2

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