The following table shows historical end-of-week adjusted close prices (including dividends) for a stock and the S&P 500

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The Following Table Shows Historical End Of Week Adjusted Close Prices Including Dividends For A Stock And The S P 500 1 (66.82 KiB) Viewed 47 times

The following table shows historical end-of-week adjusted close prices (including dividends) for a stock and the S&P 500. A B с Week Stock S&P 500 39.53 2,758 40.17 2,700 43.1 2,742 42.47 2,783 39.77 2,836 42.07 2,762 43.84 2,829 39.77 2,768 40.1 2,866 40.98 3,019 42.15 2,982 1 2 3 1 4 2 5 3 6 4 7 5 8 6 9 7 10 8 11 9 12 10 O 01
6. Assume the risk-free rate (Treasury bill yield) is 2%. What is the annualized Sharpe ratio of the stock? Hint: Use the annualized return and standard deviation. The variance of returns over N weeks is N times the weekly variance. The standard deviation of returns over N weeks is N^0.5 times the weekly standard deviation. 7. For the next few parts, create a portfolio of 20% stock and 80% S&P 500. If you rebalanced such a portfolio every week to keep the weights at 0.2/0.8, what is the holding period return over the 10 weeks for the portfolio? 8. What is the standard deviation of weekly returns for such a portfolio if you rebalanced every week? 9. What is the beta of such a portfolio if you rebalanced every week? 10. What is the annual Sharpe ratio of a portfolio with 20% invested in the stock and 80% in the S&P 500? Assume that the expected returns are equal to the realized returns (EARs), and that the annualized variances and covariance stay the same as in the past. Hint: The covariance of returns over N weeks is N times the weekly covariance. Hint: Since we're looking at only one period (of one year), the distinction between rebalancing and not rebalancing is irrelevant here. 11. What is the annual Sharpe ratio of the optimal risky portfolio?