A stock's return has the following distribution: Calculate the stock's expected return and standard deviation. Scenario Probability Return Weak 0.1 -20% below average 0.2 -5% average 0.4 16% above average 0.1 25% strong 0.2 60% r= 4.40%, and std.dev = 26.96% Or= 13.84%, and std.dev = 18.62% Or= 11.40%, and std.dev = 26.69% Or= 14.40%, and std.dev = 20.62%
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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 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 isA 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.
- 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% 0.10Consider 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.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% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
- h) If the standard deviation of a stock’s return is 5% and its expected return is 8%, what it the C.V.?The 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%).A stock’s returns have the following distribution:Demand for theCompany’s ProductsProbability of thisDemand OccurringRate of Return if thisDemand OccursWeak 0.1 (30%)Below average 0.1 (14)Average 0.3 11Above average 0.3 20Strong 0.2 451.0Assume the risk-free rate is 2%. Calculate the stock’s expected return, standard deviation,coefficient of variation, and Sharpe ratio.
- Given the following information, determine the beta coefficient for Stock A that is consistent with equilibrium: expected return on A= 14.5%; rRF=4.0%; rM=10.5%A stock's returns have the following distribution: Probability Rate of Return 0.1 -25% -10% 10% 0.2 0.4 0.2 0.1 20% 30% Calculate the stock's a) expected return, b) standard deviation, and c) coefficient of variation. a) 6.50%; b) 2.50%; c)0.39 a) 5.00%; b) 15.89%; c)3.18 a)5.00%; b) 15.82%; c)2.43 a) 6.50%; b) 15.82%; c)2.43Given the returns and probabilities for the three possible states listed below, calculate the covariance between the returns of Stock A and Stock B. For convenience, assume that the expected returns of Stock A and Stock B are 8.10 percent and 11.60 percent, respectively. (Round answer to 4 decimal places, e.g. 0.0768.) Good OK Poor Covariance Probability 0.22 0.60 0.18 Return on Stock A 0.30 0.10 -0.25 Return on Stock B 0.50 0.10 -0.30