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- Suppose you are given the following information about 2 stocks, what is the return standard deviation of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"The annual returns of a stock and the risk-free interest rate are given as follows: Year 2010 2011 2012 2013 2014 Stock Return % 5% -9% 6% 15% Rf 2% 1% 2% 0.5% 1% Calculate the arithmetic average stock return. 7+5+-9+6+15= 17/5= 3.4 Calculate the geometric average stock return. G=[(1+7%)(1+5%)(1+-9%)(1+6%)(1+15%)]^1/5-1 = 1.246387^1/5-1=4.5% Calculate the standard deviation of stock returns (could be done by Excel). Calculate the risk premium of the stock. Calculate the standard deviation of the excess returns. Calculate the Sharpe ratio of the stock.Q4: Assume the following information for stocks A and B. • Expected return on Stock A = 18%. • Expected return on Stock B = 23%. • Correlation between returns of Stock A and Stock B = 0.10. • Standard deviation of returns on Stock A = 40%. • Standard deviation of returns on Stock B = 50%. Compute The expected return Standard deviation
- Suppose you are given the following information about 2 stocks, what is the expected return of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"Stocks A and B have the following historical returns: Year Stock A return Stock B return 2004 (24.25%) 5.5% 2005 18.5% 26.73% 2006 38.67% 48.25% 2007 14.33% (4.5%) 2008 39.13% 43.86% Calculate the standard deviation of returns for each stock and for the portfolio.H5. A stock has had the following year-end prices and dividends: Year Price Dividend 1 $40 — 2 $55 $1.10 3 $60 $1.20 4 $70 $1.30 The geometric average return for the stock is ______%. Group of answer choices 23. 45 20 28. 35 22. 86 33 .41 Show proper step by step calculation and explain with details
- A4 2e The stocks on ABC Company and XYZ Company have the following returns over the last five years. Year ABC returns XYZ returns 1 –0.2 0.2 2 –0.1 0.1 3 0.5 –0.1 4 0.3 0.05 5 0.1 0.08 e. Using the coefficient of variation (standard deviation/average return) as a measure of comparison between the two stocks, which stock is preferable?The reward-to-risk ratio for Stock X, in decimal form, is ______. Round your answer to 3 decimal places (example: if your answer is .04567, you should enter .046). Margin of error for correct responses: +/- .002. expected return (implied by market price) Beta Stock X 9.7% 0.87 S&P500 10% ? T-bonds 3% ?Stocks A and B have the following historical returns:YearStock A's Returns, raStock B's Returns, ra2016(18.60%)(14.50%)201734.2520.40201814.7539.902019(1.00)(9.70)202026.7520.05a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places.Stock A:11.23%Stock B:11.23%b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year? Round your answers to two decimal places. Negative values should be indicated by a minus sign.YearPortfolio2016-16.55%201727.33201827.33%2019-5.35202023.40What would the average return on the portfolio have been during this period? Round your answer to two decimal places.11.23c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places.Stock AStock BPortfolioStandard Deviationd. Calculate the coefficient of variation for each…
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 5.0% + 1.30RM + eA RB= -2.0% + 1.6RM + eB sigmaM= 20% ; R-squareA= 0.20 ; R-squareB= 0.12 What is the standard deviation of each stock (write as percentage, rounded to 2 decimal places)?. You have observed the following returns over time: Stock X Stock Y Year Price Div Price Div Market Returns 2005 20 0 11 0 0 2006 24 1.2 13 1.6 0.25 2007 26 0.5 17 0.5 0.18 2008 31 1 20 0.9 0.11 2009 33 1.5 23 1.2 0.12 2010 40 2 27 1.5 0.15 a. Calculate the annual returns for each stock (2006-2010) b. Calculate the average returns for each of the stocks and the market c. Calculate the covariance between the stocks d. Compute the portfolio return and portfolio risk if the Stock A and Stock B are combined equally in a portfolio.What is the standard deviation of the returns on a stock given the following information? Could you please show the work? State of Economy Probability of state of Economy Rate of return if state occurs Boom 0.3000 0.1500 Normal 0.6500 0.1200 Recession 0.0500 0.0600 Average 0.3333 0.1100
