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发表于 2011-7-11 18:58
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Systematic Biases:
Over time, there should be minimal systematic biases or risks in the benchmark relative to the account. One way to measure this criterion is to calculate the historical beta of the account relative to the benchmark; on average, it should be close to 1.0.
Potential systematic bias can also be identified through a set of correlation statistics. Consider the correlation between A = (P-B) and S = (B-M). The contention is that a manager’s ability to identify attractive and unattractive investment opportunities should be uncorrelated with whether the manager’s style is in or out of favor relative to the overall market. Accordingly, a good benchmark will display a correlation between A and S that is not statistically different from zero.
Similarly, let us define the difference between the account and the market index as E=(P- M). When a manager’s style (S) is in favor (out of favor) relative to the market, we expect both the benchmark and the account to outperform (underperform) the market. Therefore, a good benchmark will have a statistically significant positive correlation coefficient between S and E.
(Level III Volume 6, p. 146).
I think all it says make sense to me, but after a few rounds of mixing of beta, correlations, and almost all possible combinations of P, S, A, E, B, M...I'm not sure if I understood it.
Can someone explain it in plain language?
Edited 1 time(s). Last edit at Friday, April 15, 2011 at 01:31PM by deriv108. |
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