7. Calculating Returns and Standard Deviations [LO1] Based on the following information, calculate the expected return and standard deviation for Stock A and Stock B:
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![7. Calculating Returns and Standard Deviations
[LO1] Based on the following information, calculate the
expected return and standard deviation for Stock A and
Stock B:
Rate of Return If
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- 1) what is the expected return rate for stock A 2) what is the expected return rate for stock B 3) what is the standard deviation of returns for stock A 4) what is the standard deviation of returns for stock B.The slope of a regression line when the return on an individual stock's returns are regressed on the return on the market portfolio, would be: OAR BR-₁ B OC none of the answers listed here. ODO im(a) A stock’s returns have the following distribution: Calculate the stock’s expected return, standard deviation, and the coefficient of variation.
- (b) the standard deviation of the returns of the stocks A and BConsider the below graph: E(R₁) E(RM) R₁ stocks M O stocks O What is the slope of the graph? If the historical return of an individual stock is lying the slope then the stock is undervalued or overvalued?Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.
- A price-weighted index such as the DJIA is a geometric mean of current stock prices. a. True b. False(c) Consider information given in the table below and answers the question asked thereafter: i. Calculate expected return on each stock? On the basis of this measure, which stock you will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of this measure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of this measure, which stock you will choose?iv. Calculate covariance and coefficient of correlation between the returns of the stocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfolio comprising of $35,000 invested in stock A and remaining amount in stock B. Calculate risk and return of your portfolio. (d) Firm A reports a Profit Margin of 6.5% and a Total Asset Turnover Ratio of 3.25. Their total asset level is $8,500,000. Assume there are 700,000 shares outstanding and the PE ratio is 11. Also, assume the Return on Equity is 16%. Based on this, calculate…Consider the following regression Pt * - Pt = .07(1.4) + .4*Pt (3.6) + et where Pt * is Shiller’s ex post price of a stock, Pt is the actual price and t-ratios are in brackets. Explain in words and analytically what the dependent variable Pt * - Pt should be equal to under the efficient markets theory. Hence interpret the regression. Does it support the efficient markets theory?
- 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: b. Explain the differences between systemic risk and unsystematic risk, give additional examples c. Compare and contrast the Capital Market Line and Security Market Line d. The covariance of the market's returns with the stock's returns is 0.008. The standard deviation of the market's returns is 0.08, and the standard deviation of the stock's returns is 0. 11. What is the correlation coefficient of the returns of the stock and the returns of the market? e. According to the CAPM, what is the required rate of return for a stock with a beta of 0.7, when the risk-free rate is 7% and the expected market rate of return is 14%a) Calculate the expected return for Stock Media Prima and Stock Astrob) Calculate the standard deviation for Stock Media Prima and Stock Astroa. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance betweenthe returns of A and B is 0.006. The correlation of returns between A and B is: