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What do you notice about the alphas and betas calculated using the various methods? Using the alpha and beta you calculated for stock 4 along with the average excess return on the S&P index, what is your prediction of the excess return for stock 4?
Look at the investment opportunity set for stocks 1 and 2. Suppose that you produced a similar graph for portfolios of stocks 1 and 3. Where would the investment opportunity set for stocks 1 and 3 lie relative to the investment opportunity set for stocks 1 and 2? Why?
Look at your correlation table. What is the relationship between the R-squared for each stock and the correlation between that stock's returns and the S&P index returns? What do these statistics tell you about the breakdown between market risk and unique risk for each stock?
Would any combination or "weighting" of these 4 stocks result in a portfolio that is superior to the S&P 500? Explain. Do you expect this relationship in the historical data to be repeated in future periods? Explain.
What is the relationship between the arithmetic average and the geometric average return for each stock and the S&P 500? Explain. Compare the standard deviations for each of the
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