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The standard approach, therefore, cannot properly measure the odds of observing a
group of funds having genuine positive alphas. For example, suppose that 20 out of 200
funds have positive estimated alphas at a given significance level γ. Obviously, the true
performance of these 20 funds depends on the proportion of lucky funds. For instance,
if the latter is equal to 100%, all 20 funds produce, in reality, zero alphas. Another
problem with the standard approach is that it assumes that an observed increase in the
number of significant funds as γ rises is only due to the detection of new funds with
differential performance....
Nội dung trích xuất từ tài liệu:
MONTHLY BULLETIN JANUARY 2013
