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8 - 22 Evaluation risk and return Bartman Industriess and Reynolds Inc.s stock prices and dividends, along with the Winslow 5000 Index, are shown here
8 - 22 | Evaluation risk and return Bartman Industriess and Reynolds Inc.s stock prices | |||||||||
and dividends, along with the Winslow 5000 Index, are shown here for the period | ||||||||||
2009-2014. The Winslow 5000 data are adjusted to include dividends. | ||||||||||
Bartman Industries | Reynolds Inc. | Winslow 5000 | ||||||||
Year | Stock Price | Dividend | Stock Price | Dividend | Includes Dividends | |||||
2014 | $17.25 | $1.15 | $48.75 | $3.00 | $11,663.98 | |||||
2013 | 14.75 | 1.06 | 52.30 | 2.90 | 8,785.70 | |||||
2012 | 16.50 | 1.00 | 48.75 | 2.75 | 8,679.98 | |||||
2011 | 10.75 | 0.95 | 57.25 | 2.50 | 6,434.03 | |||||
2010 | 11.37 | 0.90 | 60.00 | 2.25 | 5,602.28 | |||||
2009 | 7.62 | 0.85 | 55.75 | 2.00 | 4,705.97 | |||||
a. | Use the data to calculate annual rates of return for Bartman, Reynolds, and the Winslow | |||||||||
5000 Index. Then calculate each entitys average return over the 5-year period. (Hint: | ||||||||||
remember, returns are calculated by subtracting the beginning price from the ending price | ||||||||||
to get the capital gain or loss, adding the dividend to the capital gain or loss, and dividing | ||||||||||
the result by the beginning price. assume that dividends are already included in the index. | ||||||||||
Also, you cannot calculate the rate of return for 2009 because you do not have 2008 data) | ||||||||||
b. | Calculate the standard deviations of the returns for Bartman, Reynolds, and the Winslow | |||||||||
5000. (Hint: Use the ample standard deviation formulate, Equation 8.2a in this chapter, | ||||||||||
which corresponds to the STDEV function Excel.) | ||||||||||
c. | Calculate the coefficients of variation for Bartman, Reynolds, and the Winslow 5000. | |||||||||
d. | Construct a scatter diagram that shows Bartmans and Reynolds returns on the vertical | |||||||||
axis and the Winslow 5000 Indexs returns on the horizontal axis. | ||||||||||
e. | Estimate Bartmans and Reynolds betas by running regressions of their returns against | |||||||||
the indexs returns. (Hint: Refer to Web Appendix8A.) Are these betas consistent with | ||||||||||
your graph? | ||||||||||
f. | Assume that the risk-free rate on long-term Treasury bonds is 6.04%. Assume also that | |||||||||
the average annual return on the Winslow 5000 is not a good estimate of the markets | ||||||||||
required return it is too high. So use 11% as the expected return on the market. Use the | ||||||||||
SML equation to calculate the two companies required returns. | ||||||||||
g. | If you formed a portfolio that consisted of 50% Bartman and 50% Reynolds, what would | |||||||||
the portfolios beta and required return be? | ||||||||||
h. | Suppose an investor wants to include Bartman Industries stock in his portfolio. Stocks | |||||||||
A, B, and C are currently in the portfolio; and their betas are 0.769, 0.985, and 1.423, | ||||||||||
respectively. Calculate the new portfolios required return if it consists of 25% of | ||||||||||
Bartman, 15% of Stock A, 40% of Stock B, and 20% of Stock C. |
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