Exercises: a. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance between the returns of A and B is 0.006. The correlation of returns between A and B is:
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- 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 zeroThe variance of expected returns is equal to the square root of the expected returns. a. True b. FalseConsider the following POPULATION of returns: 5%, -4%, -3%, and 12%. What is the standard deviation of this population of returns? O A. 0.42% O B. 0.56% OC. 6.50% O D. 7.51%
- Comment on the SAS regression output including a-e. Compare and comment on the differences between the two regressions (3- vs. 4-factor model using either OLS or HC results depending upon the White test result) Make conclusions regarding choosing 3- vs. 4-factor model when predicting future stock returns, and explain why.Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.Based on the information, calculate expected returns for each share, variance for each share and standard deviation for each share
- An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.
- Given the following probability distribution, what are the expected return and the standard deviation of returns for Security J? State Pi ri 1 0.5 11% 2 0.3 8% 3 0.2 5% O 9.40%; 2.04% O 8.90%; 2.34% O 7.40%; 2.94% O 8.40%; 2.64% O 7.90%; 1.74%QUESTION 1 Under which of the following scenarios, the minimum variance portfolio that contains two stocks has the smallest standard deviation? OA. The correlation between the two stock returns is -1 OB. The correlation between the two stock returns is -0.2 OC. The correlation between the two stock returns is 0.2 OD. The correlation between the two stock returns is 0.5The variances of stocks A and B are 1 percentage square and 4 percentage square, respectively. If the covariance between the two stocks is 0.6 percentage square, what is the correlation? Dont