Beta of stock=correlation of stock with market*volatility of stock/volatility of market
Hence, beta of stock*volatility of market=correlation of stock with market*volatility of stock=0.7*35%
Sharpe Ratio=(return-risk free rate)/volatility
=>return of stock-risk free rate=volatility of stock*Sharpe ratio of stock=35%*0.4=14%
and
return of market-risk free rate=volatility of market*Sharpe ratio of market=volatility of market*0.5
alpha=return of stock-risk free rate-beta of stock*(return of market-risk free rate)=14%-beta of stock*volatility of market*0.5=14%-0.7*35%*0.5=1.75%
Problem 8 You are given the following information about a stock X: i) The stock has...
A stock has a correlation with the market of 0.4. If the Sharpe ratio of the market portfolio is 0.7, what is the Sharpe ratio of the stock? (Hint: algebraically manipulate the SML equation.) A. 0.28 B. 0.75 C. 0.60 D. 0.55
please work all parts.
2. Stock A has expected return of 14% and volatility 30%. Stock B has expected return of 8% and volatility 19%. The correlation between two stocks is -0.2. The risk free interest rate is 4% (a) Find the expected returns, volatilities, and Sharpe ratios of portfolios that maintain 100.0% investment in Stock A and 100(1-x)% in Stock B, where x is given in the following table. Volatility Expected return Sharpe ratio 0.8 0.9 1.0 (b) How...
You are given the following information concerning a stock and the market: Returns Year Market Stock 2011 20 % 32 % 2012 10 10 2013 20 4 2014 −15 −29 2015 37 16 2016 15 16 a. Calculate the average return and standard deviation for the market and the stock. (Use Excel to complete the problem. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) b. Calculate the correlation between the stock and...
You are given the following information concerning a stock and the market: Returns Year Market Stock 2011 15 % 27 % 2012 14 30 2013 15 6 2014 −14 −24 2015 37 16 2016 15 25 a. Calculate the average return and standard deviation for the market and the stock. (Use Excel to complete the problem. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) b. Calculate the correlation between the stock and...
Problem 9 You are given the following information about a firm and the equity-debt structure of this firm: i) The amount of long-term outstanding debt is 150,000. ii) The debt is risk-free and is financed at an interest rate of 7%. iii) Number of shares of common stock is 40,000. iv) The price per share is 15. v) The stock's beta is 1.2. vi) The expected market return is 14%. Calculate the firm's before-tax cost of capital.
Stock X has systematic risk of β = 1 and the analyst forecasts its return to be 12%. Stock Y has β = 1.5 and a forecast return of 13%. The market portfolio’s expected return is 11%, and rf = 5%. i. According to the CAPM, what are the required returns of the two stocks? ii. What is the alpha of each stock? Which stock is a better buy? iii. Draw the SML. Mark each stock’s CAPM required rate of...
Bear Normal Bull Market Market Market Probability 15.00% 50.00% 35.00% Stock X -12.00% 10.00% 21.00% Stock Y -22.00% 14.00% 39.00% 3.c) If the risk–free rate of return is 2.95%, what are the Sharpe Ratios for stocks X and Y (8 points)? (Please assume that the standard deviations of the excess returns are the same as the standard deviations of returns calculated in part b) Given that- i ii iii iv=i*ii v=i*iii vi=i*(ii-10.55%%)^2 vii=i*(iii-17.35%)^2 Probability X Y Expected return X Expected...
2. Stock X has a beta of 1.5 and cost of capital of 15% estimated by CAPM. If we want to estimate X's return volatility based on its past returns, which distribution should we follow sample distribution or population distribution? b. Suppose there is another stock Y whose beta is 0.7 and estimated cost of capital of 10%. What is the expected market return and risk-free rate by assumption? c. Take 15% as expected return of X and 10% as...
You are given the following information concerning a stock and the market Returns Market Stock Year 15% 27% 19 2011 2012 19 2013 25 5 2014 -12 -22 2015 35 16 2016 15 27 a. Calculate the average return and standard deviation for the market and the stock. (Use Excel to complete the problem. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Market Stock % Average return Standard deviation b. Calculate the...
Problem 6 You are given the following information about a project: i) It is expected to generate 6 million per year of revenues perpetually. ii) The cost of capital for the project is 12%. iii) The fixed costs of the project are 1 million per year. iv) The variable costs of the project are 15% of revenues. v) The annual effective risk-free rate is 4%. Calculate: a) The value of the project. b) The operating leverage of the project.