Forecasts of Alpha Values and Extreme Portfolio Weights
The overriding impression from Spreadsheet 27.1 is the apparently meager performance
improvement: Table D of the spreadsheet shows that M -square increases by only 19 basis
points (equivalent to an improvement of .0136 in the Sharpe ratio). Notice that the Sharpe
ratio of the active portfolio is inferior to that of the passive portfolio (due to its large
standard deviation) and hence its M -square is actually negative. But the active portfolio
is mixed with the passive portfolio, so total volatility is not its appropriate measure of
risk. When combined with the passive portfolio, it does offer some improvement in per-
formance, albeit quite modest. This is the best that can be had given the alpha values
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