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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- An analyst gathered daily stock returns for Feburary 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HMLt), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai = 0, bi = 1.2, ci = 0.4, and di = 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stocks predicted return for April 1?An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?The following table reports the percentage of stocks in a portfolio for nine quarters: a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE. c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of year 3?
- A stock is trading at $80 per share. The stock is expected to have a yearend dividend of $4 per share (D1 = $4), and it is expected to grow at some constant rate, g, throughout time. The stock’s required rate of return is 14% (assume the market is in equilibrium with the required return equal to the expected return). What is your forecast of gL?Based on five years of monthly data, you derive the following information forthe companies listed: Company SDi rm Padma 11.10% 0.82 Meghna 12.60% 0.63 Jamuna 6.60% 0.45 Karnafully 9.70% 0.70 SD on Market 7.60% 1.00 Assuming a risk-free rate of 9% and expected return for the market portfolio is 16 % compute the expected (required) return for all the stocks.. 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.
- 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.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.The historical returns for the past three years for Stock B and the stock market portfolio are Stock B: 24 percent, 0 percent, 24 percent; market portfolio: 10 percent, 12 percent, 20 percent. Calculate the beta for Stock B. 1 1.17 1.13 0.86
- After gathering 60 months of historical stock return data on Sheffler Industries and the Wilshire 5000 index (to approximate the market portfolio) and 60 months of historical data on Treasury bills (to approximate the risk-free rate), you run a linear regression that yields the following results: Alpha: 0.0024 (p-value: 0.0168) Beta: 1.348 (p-value: 0.0000) What can you conclude about this stock? ( explain well and type the answer ).Stocks A and B have the following historical returns:Year Stock A’s Returns, rA Stock B’s Returns, rB2003 (18%) (24%)2004 44 242005 (22) (4)2006 22 82007 34 56a. Calculate the average rate of return for each stock during the 5-year period.Assume that someone held a portfolio consisting of 50% of Stock A and 50%of Stock B. What would have been the realized rate of return on the portfolioin each year? What would have been the average return on the portfolio duringthis period?b. Now calculate the standard deviation of returns for each stock and for theportfolio. Use Equation 6-5.c. Looking at the annual returns data on the two stocks, would you guess thatthe correlation coefficient between returns on the two stocks is closer to 0.8 orto 0.8?d. If you added more stocks at random to the portfolio, which of the followingis the most accurate statement of what would happen to p?(1) p would remain constant.(2) p would decline to somewhere in the vicinity of 20%.(3) p would decline to…Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio. Tesla Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2020 289.9971 86.0520 705.6700 72.2440 705.6700 743.44% 2019 54.7060 62.0240 86.1880 35.7940 83.6660 25.70% 2018 63.4620 64.1060 75.9140 50.1120 66.5600 6.89% 2017 62.8633 43.3980 77.0000 43.3980 62.2700 45.70% 2016 41.9535 44.6820 53.0840 28.7340 42.7380 -10.97% 2015 46.0085 43.8620 56.4520 37.0000 48.0020 7.91% 2014 44.6658 30.0200 57.2080 27.8680 44.4820 47.85% 2013 20.8803 7.0720 38.6740 6.5820 30.0858 344.14% 2012 6.2337 5.6160 7.6020 4.5580 6.7740 18.59% 2011 5.3609 5.3240 6.9880 4.3660 5.7120 7.25% 2010 4.6683 4.7780 7.0940 3.1600 5.3260 0.00% Amazon Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2021 3315.9774 3186.6300 3731.4100 2951.9500…
