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Short-term Mean-Reversion Becoming Stronger: Part III (Wood’s Light Bulb)
By: Michael Stokes   Friday, February 13, 2009 11:34 AM

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Recently I’ve shown that daily stock market mean-reversion is becoming stronger at an accelerating pace and made an attempt at explaining why. Understanding this shift is key to trading short-term swing strategies like RSI(2) or daily follow-through.

Woodshedder (from my blogroll) made a very interesting observation in response; that short-term mean-reversion isn’t necessarily accelerating in terms of the percentage of days that close in a given direction (i.e. win %), only in terms of the magnitude of the change when they do (i.e. average return), which could just be a function of increasing volatility in the market.

Here is my response.

The graph above is calculated in a similar fashion as in my previous posts, a 6-year rolling average following either an up close (blue) or down close (red), de-trended to remove the influence of bull/bear markets, on the S&P 500 from 1950.

But rather than looking at next-day average returns, I’m looking at the probability that the next day closed up. I’ve de-trended the result by subtracting the probability that the next day closed up for all days over that same 6-year period.

A little complicated to explain in a blog post I know, so let me give an example. If over a given 6-year period the market closed up 55% of the time, but following a close down it closed up 60% of the time, the red line would read 5%. Got it?

For comparison, below is my original graph using the same methodology, but looking at average returns.

Response to Wood’s Light Bulb

Daily mean-reversion is becoming stronger both in terms of average return (which we’ve shown previously) AND the probability of the next-day’s closing direction (which the first graph above shows).

BUT, the probability of the next-day’s closing direction (win %) is not accelerating at as aggressive a pace as average return (i.e. the slope of the line is shallower). As Wood alluded to, part of the acceleration in daily follow-through as I showed it previously was a result of increasing volatility in the market in and of itself.

Well done Wood.

Happy Trading,
ms


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