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S 500Given that UPRO has done an excellent job tracking 3x daily S 500 gains, we can take advantage of historical data to get a better idea of how monthly and annual gains map from the S 500 to a hypothetical zero tracking error 3x S 500 ETF. The figure below shows the relationship between monthly gains for the two funds over the past 65 years.1 Standard deviation of daily S 500 gains for each month, normalized to mean 0 and standard deviation 1 for better interpretation.There are some really important pieces of information here that I'd like to point out. First, note that index volatility, measured by standard deviation of daily gains, is indeed negatively associated with monthly performance of the 3x ETF.
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