The table below provides five years of realized returns for both Stock XYZ and the market portfolio. Use this information to estimate Stock XYZ's beta with the market.
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- Imagine you wish to estimate the betas for two investments, A and B. You have gathered the following return data for the market and for each of the investments over the past 10 years, 2010-2019 2019 Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 12% Market returns 2% 13% -7% 1% 9% 10% 21% -10% 4% 10% Stock A returns 5% 10% -2% 0% 5% 12% 15% -9% 1% 15% Stock B returns 7% 9% 3% -2% 11% 9% 10% -11% 2% a. On a set of market return (x-axis)-investment return (y-axis) axes, use the data to draw the characteristic lines for investments A and B on the same graph. b. Use the characteristic lines from part a to estimate the betas for investments A and B. c. Use the betas found in part b to comment on the relative risks of investments A and B. 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.Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. MP, Ltd. STOCK RETURN AVERAGE OF YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE (x₁) PRICE RETU Jan-2021 Po Feb-2021 P8.6 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P60 Jul-2021 16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-202 P13.70 Sep-2 P14.88 Oct-2021 0.375 Oct 21 P15.30 Nov-20 PO.325 N2021 P14.30 Dec-2 PO.330 ec-2021 P15.52 3) SD (8) GSM Inc. STOCK YEAR PRICE Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.00 Aug-2021 P105.00 Sep-2021 P114.00 Oct-2021 | P101.00 Nov-2021 P100.40 Dec-2021 P113.80 SD (8) = RETURN (x₁) -x)² AVERAGE OF RETURNS (x-x)² (x) SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17.00…
- Consider the following average annual returns for Stocks A and B and the Market. Which of the possible answers best describes the historical betas for A and B? Years Market Stock A Stock B 1 0.03 0.16 0.05 2 −0.05 0.20 0.05 3 0.01 0.18 0.05 4 −0.10 0.25 0.05 5 0.06 0.14 0.05 a. bA > +1; bB = 0. b. bA = 0; bB = −1. c. bA < 0; bB = 0. d. bA < −1; bB = 1. e. bA > 0; bB = 1.SECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and rp: 8A-2 M' A Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 5 23.00 23.00 17.00 31.70 31.70 21.35Assume these are the stock market and Treasury bill returns for a 5-year period: Year 2016 2017 2018 2019 2020 Stock Market Return (%) 33.30 13.20 -3.50 14.50 23.80 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) 3 Required A Required B T-Bill Return Complete this question by entering your answers in the tabs below. Standard deviation (%) 0.12 0.12 0.12 0.07 0.09 x Answer is complete but not entirely correct. Required C What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. 13.69 X % घ
- Stocks C and F have the following historical returns: Year return (HPY) of C return (HPY) of F 2016 −18.00% −14.50% 2017 33.00% 21.80% 2018 15.00 % 30.50% 2019 −0.50% −7.60% 2020 27.00% 26.30% Required Calculate the geometric rate of return for each stock during the 5-year period. Calculate the standard deviation of returns for each stock. Calculate the coefficient of variation for each stock. If you are a risk-averse investor then, assuming these are your only choices, discuss whether you would prefer to hold Stock C or Stock F.You have found the following historical information for the Daniela Company: Stock price EPS Year 1 $48.09 2.54 Target price Year 2 $ 64.22 2.60 Year 3 $ 62.94 2.77 Year 4 $65.62 2.76 Earnings are expected to grow at 9 percent for the next year. Using the company's historical average PE as a benchmark, what is the target stock price in one year? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.Excel Online Structured Activity: Historical Return: Expected and Required Rates of Return You have observed the following returns over time: Year Stock X Stock Y Market 2011 14 % 12 % 10 % 2012 20 7 9 2013 -13 -2 -13 2014 3 1 2 2015 19 9 12 Assume that the risk-free rate is 4% and the market risk premium is 6%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. Open spreadsheet What is the beta of Stock X? Do not round intermediate calculations. Round your answer to two decimal places. fill in the blank 2 What is the beta of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. fill in the blank 3 What is the required rate of return on Stock X? Do not round intermediate calculations. Round your answer to one decimal place. fill in the blank 4 % What is the required rate of return on Stock…
- Review the following market information: Current Stock Market Return 11.25% Current T-Bill Price $979.43 Historic T-Bill Average Return 2.80% Historic Stock Market Average Return 8.10% Stock Beta 1.23 What is the required return (rounded to two places)?Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. GeometricSECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and r: 8A-2 M' Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 3 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 23.00 23.00 17.00 6. 31.70 31.70 21.35 The risk-free rate, rp, is 9%. Your probability distribution for r for next year is as follows: M Probability M 0.1 (14%) 0.2 0.4 15 0.2 25 0.1 44 a. Determine graphically the beta coefficients for Stocks A and B. b. Graph the Security Market Line, and give its equation. c. Calculate the required rates of return on Stocks A and B. d. Suppose a new stock, C, with f̟ = 18% and b̟ = 2.0, becomes avail- able. Is this stock in equilibrium; that is, does the required rate of return on Stock C equal its expected return? Explain. If the stock is not in equilibrium, explain how equilibrium will be restored.