The table below shows historical end-of-week adjusted close prices (including dividends) for a stock and the S&P 500. A
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The table below shows historical end-of-week adjusted close prices (including dividends) for a stock and the S&P 500. A
Attempt 1/1 Part 2 What is the geometric average weekly return for the S&P 500? 4+ decimals Save Attempt 1/1 Part 3 What is the annualized return for the S&P 500 (EAR)? Hint: Annualize your results from part 1 and part 2 to verify your answer. Both methods must give you exactly the same result. 3+ decimals Save Attempt 1/1 Part 4 What is standard deviation of weekly returns for the S&P 500? 4+ decimals Save
Attempt 1/1 Part 5 What is the beta of the stock (not the S&P 500)? 3+ decimals Save Part 6 Attempt 1/1 Assume the risk-free rate (Treasury bill yield) was and is 2%. What was 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 Nº.5 times the weekly standard deviation. 2+ decimals Save Attempt 1/1 Part 7 For the next few parts, assume a portfolio of 50% stock and 50% S&P 500. If you rebalanced such a portfolio every week to keep the weights at 0.5/0.5, what was the holding period return over the 10 weeks for the portfolio? 3+ decimals
Part o What is the standard deviation of weekly returns for such a portfolio if you rebalanced every week? 4+ decimals Save Attempt 1/1 Part 9 What is the beta of such a portfolio if you rebalanced every week? 2+ decimals Save Attempt 1/1 Part 10 What is the annual Sharpe ratio of a portfolio with 50% invested in the stock and 50% in the S&P 500? The T-bill yield is still 2%. Assume that the stock has an expected return of 12% and the S&P 500 of 8% (both 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 rebalanci is irreleva here. 3+ decimals
Part 10 Attempt 1/1 What is the annual Sharpe ratio of a portfolio with 50% invested in the stock and 50% in the S&P 500? The T-bill yield is still 2%. Assume that the stock has an expected return of 12% and the S&P 500 of 8% (both 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. 3+ decimals Save Part 11 What is the annual Sharpe ratio of the optimal risky portfolio? 3+ decimals Save Attempt 1/1