Consider the following annualized information about risk and return measures of two portfolios. The S&P500 Index portfolio
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Consider the following annualized information about risk and return measures of two portfolios. The S&P500 Index portfolio may be viewed as the market portfolio for purposes of applying the Single index model.
Portfolio | Average Return | Standard Deviation | Beta |
Money Market | 2% | 0% | 0.0 |
Portfolio AA | 10% | 16% | 0.6 |
Portfolio BB | 15% | 25% | 1.2 |
S&P500 Index | 14% | 20% | 1.0 |
(a) Compare the Sharpe Ratio for AA and BB against the market Sharpe Ratio. If the single-index model holds which, would you expect to have the larger Sharpe Ratio?
(b) Under the assumptions of the single-index model what is the idiosyncratic standard deviation of AA’s and BB’ returns?
(c) Given that the single-index model holds exactly, what is AA’s and BB’s alphas?
(d) Find the correlation between AA’s and BB’s returns and the S&P500 Index return.
Related Book For
International Financial Management
ISBN: 978-0132162760
2nd edition
Authors: Geert Bekaert, Robert J. Hodrick
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