Some stuff from Michael Statsny:
A while ago, we addressed the following question: A portfolio manager knows that his strategy can, on average, outperform the benchmark index by 3% annually. His portfolio has an annual volatility (standard deviation) of 25% against the index's 15%. Assuming that the correlation between the returns of the portfolio and the returns of the index is 0.9, how many years would it take to outperform the index with 90% probability?
The correct answer is a whopping 300 years! (apply the Itô-Döblin formula)
Duh, just apply Itô-Döblin formula!
Check out the whole thing for some interesting charts. And in general, the whole blog is fantastic.
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