A stock's returns have the following distribution: Probability Rate of Return 0.1 -25% 0.2 0.4 0.2 0.1 -10% 10% 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)2.43
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- Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?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.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%
- 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 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%The next year's return on stock X is expected to be either -7% with probability 0.2 or 20% with probability 0.8. Find the stnadard deviation of the returns. a.12.37% b.11.10% c.12.88% d.11.69% e.10.80%
- 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 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 JConsider 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?
- Consider the following probability distribution for stocks A and B: State Return on Stock A 1 10% 2 13% 3 12% 4 14% 5 15% 0.46. The coefficient of correlation between A and B is 0.60. 0.58. 1.20. Probability 0.10 0.5. 0.20 0.20 0.30 0.20 Return on Stock B 8% 7% 6% 9% 8%Stocks A and B have the following probability distributions of expected future returns: profitability A B 0.1 11% 27% 0.2 3 0 0.4 12 20 0.2 24 28 0.1 36 43 Calculate the expected rate of return, , for Stock B ( = 12.70%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.54%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be…Which of the following statement(s) is(are) true? 1) The real rate of interest is determined by the supply and demand for funds. II) The real rate of interest is determined by the expected rate of inflation. III) The real rate of interest is unaffected by actions of the Fed. IV) The real rate of interest is equal to the nominal interest rate plus the expected rate of inflation. III and IV only. I only. OII and III only. O, II, III, and IV only. OI and III only.