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Re: Sharpe Ratio of Mutual Funds & Trading Systems



PureBytes Links

Trading Reference Links


the site valuengine.com let you see on the valuation stock comparison
page the sharpe ratio for each stock and its rank vs. its sector 
and index.



tv
Bob Fulks wrote:
> 
> I went to the MorningStar website and did a search for mutual funds
> with a Sharpe Ratio of greater than a given value. I found the
> results interesting:
> 
>    Sharpe Ratio      No. of Funds
> 
>       >= + 3.0             1   (A short-term Bond Fund with 6.9% return)
>       >= + 2.5             3
>       >= + 2.0             5
>       >= + 1.9             5
>       >= + 1.8             5
>       >= + 1.7             6
>       >= + 1.6             8
>       >= + 1.5            10   (Most of these are Bond Funds)
>       >= + 1.4            16
>       >= + 1.3            36
>       >= + 1.2            81
>       >= + 1.1           169
>       >= + 1.0           375
>       >= + 0.9           744
> 
>       >= + 0.87          873   (The Vanguard 500 Index fund value)
> 
>       >= + 0.8          1212
> 
>       >= + 0.0          4786   (Funds below this level made less than
>                                 T_Bills)
> 
>       >= - 1.0          8298
>       >= - 2.0          8501
>       >= -10.0          8538   (I assume Sharpe Ratio is not available
>                                 for all others)
> 
>       All Funds        11963
> 
> So out of probably 8538 funds for which Sharpe Ratio data is calculated:
> 
>    > About  4% of all funds had a Sharpe Ratio >= 1.0
> 
>    > About 10% of all funds had a Sharpe Ratio >= the largest S&P Index
>      fund.
> 
>    > About 44% of all funds made a lower return than T-Bills
> 
> Frequently asked questions about the Sharpe Ratio:
> 
> Q: Is it fair to compare the Sharpe Ratio of a trading system with
> the Sharpe Ratio of a mutual fund?
> 
> A: Yes in that it measures the smoothness of the equity curve in both
> cases. But a trading system requires a lot more effort than does
> buy/hold of a mutual fund so the Sharpe Ratio of the trading system
> should be higher to compensate us for the extra effort.
> 
> Q: Does the Sharpe Ratio depend upon how many contracts I trade?
> 
> A: No. If you trade one contract you make X excess profit (excess
> over the T-Bill rate) with Y standard deviation. If you trade two
> contracts, the excess return would be 2X and the standard deviation
> would be 2Y but the Sharpe Ratio would be the same. This is true for
> reasonable values of leverage. If you increase the number of
> contracts to where you start worrying about margin calls and increase
> the number of contracts as your account increases (as in
> "fixed-fractional"), you might get into a region where Sharpe Ratio
> and then even profits begin to decrease with increasing the number of
> contracts. (This is the same effect that causes the Optimal F effect)
> 
> Q: If I buy stocks or mutual funds on margin is the Sharpe Ratio
> affected?
> 
> A: No. Assuming a positive return, using leverage, the annual return
> would increase as would the standard deviation of returns but the
> Sharp Ratio would remain the same.
> 
> Q: Is it fair to compare the annual return of a trading system with
> the annual return of buy/hold.
> 
> A: No. Comparing annual returns without also comparing the
> variability (standard deviation) of returns is meaningless. You can
> arbitrarily increase returns by simply increasing leverage (the
> number of contracts traded). The Sharpe Ratio gives a measure of the
> return normalized by the variability.
> 
> Bob Fulks