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- Calculate the correlation coefficient for the portfolio using the following information: Variance of Stock X 0.08 Variance of Stock Y 0.06 Covariance is 0.05 a. 0.1042 b. 0.7217 c. 0.00024 d. 0.0693Please help me find the variance on this 3 stock portfolio.If a stock's variance of return is written as σ2, then its standard deviation will be written as:
- Suppose the index model for stocks A and B is estimated with the following results: rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB, σM = 20%, and RM = rM − rf . The regression R2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. Total: (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?Assume that the covariance between Stock A and Stock B is -28%^2 (0.0028). Compute the expected rate of return and variance of rate of return of Donald’s portfolio.(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…
- Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively.(a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?3. Consider two stocks A and B with expected returns of 6% (stock A) and 8% (stock B). The matrix of variances and covariances is presented below: Stock A В A 0.0064 -0.008 B -0.008 0.01 a. Write the variance of the portfolio composed of A and B as a function of the proportion x invested in stock A. (1-x) is invested in B. Short sales are not allowed on the market. b. Write the variance of the portfolio composed of A and B as a function of the portfolio's expected return. c. What are the proportions invested in the minimum risk portfolio composed of A and B? d. Draw the graph of the portfolios combining A and B in a (V, E) space. V=variance, E=expected return. e. If the standard deviation of the pf is 7% what proportions were invested in A and B?Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?
- A portfolio is comprised of equal weights of two stocks labeled Stock X and Stock Y. The covariance between Stock X and Stock Y is 0.10. The standard deviation of Stock X is 0.50, and the standard deviation of Stock Y is 0.50. Which of the following comes closest to the variance of the portfolio? Select one: a. 0.60 b. 1.00 c. 0.42 d. 0.18 e. 0.55Consider 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%The probability distribution of returns for the two stocks X and Y are as follows: Probability 0.1 0.3 0.05 0.25 0.15 0.15 For each of the two stocks, calculate: a. The expected return. b. Variance of returns c. Volatility of returns. Stock X 0.05 -0.1 0.08 -0.08 0.20 0.12 Return Stock Y 0.13 0,04 -0.12 0.21 0.1 -0.05