1. The market and Stock A have the following probability distributions: Return on Return on Probability market 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. а.
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- 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%).The market and Stock J have the following probability distributions: Probability rM rJ 0.3 14 % 18 % 0.4 10 4 0.3 18 13 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %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 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.
- 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 JGiven 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
- a. 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:You run a regression for the Tesla stock return on a market index to estimate the SML equation and find the following Excel output: Multiple R R-Square Adjusted R-Square Standard Error Observations Intercept Market = 0.28 0.25 0.02 40.01 60 13.35 and 0.97 0.8 and 0.1 0.28 and 0.25 0.26 and 1.36 0.2 and 0.75 Coefficients Standard Error t-Stat p-Value 0.2 0.75 The resulting SML equation for Laternios is given by: Er Laternios] 13.35 0.26 0.80 0.97 1.36 0.10 + __ × (E[rM] - rf)Assume the standard deviation of the market return is 0.2, the standard deviation of asset k is 0.45 and the beta of asset k is 0.675. The correlation coefficient between the return from asset k and the return from the market is: A. 0.473 OB. 0.900 OC. No answer OD. 0.290
- 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. Calculate the expected return for Stock media Prima and Stock Astro 2. Calculate the standard deviation for Stock media Prima and Stock Astro 3. Calculate the covariance and correlation of coefficient for the above stock.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%