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- Which of the following statements is CORRECT? Suppose the returns on two stocks are negatively correlated. One has a beta of 1.2 as determined in a regression analysis using data for the last 5 years, while the other has a beta of −0.6. The returns on the stock with the negative beta must have been negatively correlated with returns on most other stocks during that 5-year period. Suppose you are managing a stock portfolio, and you have information that leads you to believe the stock market is likely to be very strong in the immediate future. That is, you are convinced that the market is about to rise sharply. You should sell your high-beta stocks and buy low-beta stocks in order to take advantage of the expected market move. You think that investor sentiment is about to change, and investors are about to become more risk averse. This suggests that you should re-balance your portfolio to include more high-beta stocks. If the market risk premium remains constant, but the risk-free rate…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 % %Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 6%, and the market’s average return was 13%. Performance is measured using an index model regression on excess returns. Stock A Stock B Index model regression estimates 1% + 1.2(rM − rf) 2% + 0.8(rM − rf) R-square 0.588 0.442 Residual standard deviation, σ(e) 10.5% 19.3% Standard deviation of excess returns 21.8% 25.3% a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) stock A (%) Stock B (%) i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure 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 investors' portfolio, currently composed solely of holdings in the market-index fund. iii. This is one…
- 1. The sample mean of stock market returns is 11%. The sample standard deviation of stock market returns is 30%. The risk-free rate is 2%. What is the Sharpe ratio of the stock market portfolio? a) .3 b) .02 c) .2 d) .11 2. Stock market returns are 22%, -7%, -20%, and 40% in the past four years. Which of the following statement is incorrect a. The sample variance is 7.42% b. The Sharpe ratio of the stock market portfolio is 0.32 c. The sample standard deviation is 27.24% d. The sample mean return is 8.75% 6. You put up $50 at the beginning of the year for an investment. The value of the investment grows 6% and you earn a dividend of $2.50. Your HPR is a. 8% b. 6% c. 9% d. 11% 3. Which of the following statement about inflation is incorrect a. A positive inflation rate reduces purchase power of dollars b. Excess money supply increases inflation c. A positive inflation rate increases the real interest rate d. A positive inflation…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. Stock A Stock B Index model regression estimates R-square 1% +1.2(rm -rf) 2% +0.8(M-r) Residual standard deviation, d(e) Standard deviation of excess returns 0.683 12.1% 23.4% 0.49 20.9% 28.5% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances? Answer is complete but not entirely correct. 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. Stock A Stock B i. Alpha 1.0000 % 2.0000 % ii. Information ratio 0.0826 0.0957 iii. Sharpe ratio 0.4017 0.2667 iv. Treynor measure 0.0783x 0.0950 xConsider 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 Stock A a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) % Stock A 1% +1.2(rm rf) % 0.635 11.3% 22.6% Stock B % % Stock B 2% +0.8( rm -rf) b. Which stock is the best choice under the following circumstances? 0.466 20.1% 26.9% 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. iii. This is one of many stocks that the investor is analyzing to form an actively managed stock…
- Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 2.36. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format. For example, if you answer is 3.33%, enter "0.0333"Consider the two (excess return) index-model regression results for stocks A and The risk-free rate over the period was 6%, and the market’s average return was 14%. Performance is measured using an index model regression on excess returns. Stock A Stock B Index model regression estimates 1% + 1.2(rM – rf ) 2% + 0.8(rM – rf ) R-square 0.576 0.436 Residual standard deviation, σ(e) 10.3% 19.1% Standard deviation of excess returns 21.6% 24.9% Calculate the following statistics for each stock: Alpha Information ratio Sharpe ratio Treynor measure Which stock is the best choice under the following circumstances? This is the only risky asset to be held by the investor. This stock will be mixed with the rest of the investor’s portfolio, currently composed solely of holdings in the market-index fund. This is one of many stocks that the investor is analyzing to form an actively managed stock portfolio.Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 1.75. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format, to 4 decimal places. For example, if you answer is 3.33%, enter "0.0333".
- The beta of Exxon stock has been estimated as 1.6 using regression analysis on a sample of historical returns. A commonly-used adjustment technique would provide an adjusted beta of A. 1.20. B. 1.40. C. 1.32. D. 1.13.You’ve observed the following returns on Pine Computer’s stock over the past five years: −26.4 percent, 14.6 percent, 32.2 percent, 2.8 percent, and 21.8 percent. What was the arithmetic average return on the stock over this five-year period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What was the variance of the returns over this period? Note: Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616. What was the standard deviation of the returns over this period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.An analyst gathered daily stock returns for February 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HML), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai= 0, bi= 1.2, ci= -0.4, and di= 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stock’s predicted return for April 1?