A stock's returns have the following distribution: Probability Rate of Return 0.1-2% 0.2 -10% 0.4 10% 0.2 20 % 0.1 30% Calculate the stock's a) expected return, b) standard deviation, and c) coefficient of variation.
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- The standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 0.70, then what is Stock A’s beta?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 -0.05A stock’s returns have the following distribution:Assume the risk-free rate is 2%. Calculate the stock’s expected return, standard deviation,coefficient of variation, and Sharpe ratio.
- 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.The market and Stock J have the following probability distributions: ProbabIlity rM rJ 0.3 15% 20% 0.4 9 5 0.3 18 12 A. Calculate the expected rates of return for the market and Stock J. B. Calculate the standard deviations for the market and Stock JThe market and Stock J have the following probability distributions: Probability rM rJ 0.3 15% 20% 0.4 9 5 0.3 18 12 Calculate the expected rates of return for the market and Stock J. Calculate the standard deviations for the market and Stock J. Calculate the coefficients of variation for the market and Stock J.
- You are given the following probability distribution of returns for a stock. Use the data to calculate the expected return, standard deviation of returns, and coefficient of variation of returns for the stock. Report the CV to 4 decimal places (13.36% = 0.1336). Return Probability 8.0% 0.20 10.0% 0.10 12.0% 0.40 15.0% 0.20 16.0% 0.10The market and Stock A have the following probability distributions: Probability Return on market Return on Stock A 0.2 18% 16% 0.3 12% 14% 0.5 10% 11% Calculate the expected rates of return for the market and Stock A. Calculate the coefficient of variation for the market and Stock A (Standard deviation for market is 3.0265% and standard deviation for Stock A is 2.0224%).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.
- What is the standard deviation of stock A if it has the following probabilities and rate of returns. Probability Return 0.3 -5% 0.4 14% 0.3 11% a. 9.11% b. 9.40% c. 8.62% d. 8.21%The index model has been estimated for stock A with the following results: RA = 0.01 + 1.2RM + eA. σM = 0.15; σ(eA) = 0.10. The standard deviation of the return for stock A isThe index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is: