a. Average return and volatility 5. Covariance between the sto C. Correlation between these tw ■. Estimate the average return The average return of stock Ai Data table (Click on the following ice Year Stock A 201 - 1 Stock B 20
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- Using the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks. a. Estimate the average return and volatility for each stock. The average return of stock Ais %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 2013 Stock A - 5% 17% - 6% Stock B 29% 21% - 1% 2012 7% 4% 2014 1% - 15% 2015 13% 20%Using the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks. Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 2013 Stock A - 10% 20% - 5% Stock B 21% 7% - 3% 2012 5% 30% 2014 2% - 8% 2015 9% 25% IUsing the data in the table:, a. What was the average annual return of Microsoft stock from 2005-2017? b. What was the annual volatility for Microsoft stock from 2005-2017? a. What was the average annual return of Microsoft stock from 2005-2017? The average annual return is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Return for the S&P 500, Microsoft, and Treasury Bills, 2005-2017 S&P 500 Realized Return Microsoft Realized Return Dividends Paid* Year End 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 S&P 500 Index 1211.92 1248.29 3.00% 4.80% 1418.30 1468.36 903.25 4.70% 1.50% 0.10% 0.10% 1115.10 1257.64 1257.61 0.00% 1426.19 0.10% 1848.36 0.00% 0.00% 2058.90 2043.94 0.00% 0.20% 2238.83 2673.61 0.80% *Total dividends paid by the 500 stocks in the portfolio, based on the number of shares of each stock in the index, adjusted until the end of the year, assuming they were…
- Stocks A and B have the following returns: (Click on the folowing icon a in order to copy its contents into a spreadsheet.) Stock A Stock B 0.08 0.06 0.15 0.05 0.04 0.05 0.01 -0.01 0.09 -0.03 a. What are the expected roturns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 048, what is the expected return and standard deviation of a portfolio of 75% stock A and 25% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is (Round to three decimal places.)Given the following information on five stocks, construct: a. A simple price-weighted average b. A value-weighted average c. A geometric average d. What is the percentage increase in each average if the stock prices change to those in Column I? e. What is the percentage increase in each average if the stock prices change from those in the Price column to those in Column II? f. Why were the percentage changes different in parts (d) and (e)? g. If you were managing a fund and wanted a source to compare your results to, which of the three averages would you prefer to use, and why? Stock Price # of Shares I II A B C D E F $12.00 150,000 $14.00 125,000 $11.00 200,000 $ 22.00 80,000 $8.00 30,000 $29.00 140,000 $12.00 $12.00 $14.00 $14.00 $20.00 $11.00 $ 22,00 $ 22.00 $8.00 $15.00 $29.00 $29.00a. Construct a price-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. b. Construct a value-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. c. Briefly discuss the difference in the results for the two indexes.
- The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ECONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. f) Discuss the risk and return associated with investing i All of your funds in stock A ii. All of your funds in stock…Stocks A and B have the following returns: (Click on the following icon o in order to copy its contents into a spreadsheet.) Stock A Stock B 1 0.09 0.04 0.06 0.03 3. 0.12 0.06 4 - 0.04 0.02 5 0.09 -0.02 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.47, what is the expected return and standard deviation of a portfolio of 51% stock A and 49% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is (Round to three decimal places.)Question IV: Suppose S =$100, K =$95, r =8% (continuously compounded), t =1, o =30%, and 8=5%. Use an eight- period lognormal binomial tree to answer the following questions. You can also use Excel for this question. If you do so, please upload the Excel file separately with the detailed calculations. (a) Construct the stock tree. (b) Compute the prices of an European call option. (c) Compute the prices of an American put option.
- What is the standard deviation of Stock A returns given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"Using the data in the following table, estimate the average return and volatility for each stock. (Click on the following icon in order to copy its contents into a spreadsheet) Realized Returns Year 2008 2009 2010 2011 2012 2013 Stock A -1% 13% 3% -3% 5% 11% Stock B 17% 20% 11% -3% -3% 32% The return of stock A is%. (Round to two decimal places.) CUISAstromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…