Further on Trending/Mean-Reverting Properties of Stock Indices

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We previously demonstrated that stock indices exhibit mean-reverting property in the short term and trending property in the long term. Reference [1] further explored the trending/mean-reverting properties in a longer timeframe and pointed out that in the very long term, the markets mean-revert,

We provide further evidence that markets trend on the medium term (months) and mean-revert on the long term (several years). Our results bolster Black’s intuition that prices tend to be off roughly by a factor of 2, and take years to equilibrate. The story behind these results fits well with the existence of two types of behaviour in financial markets: “chartists”, who act as trend followers, and “fundamentalists”, who set in when the price is clearly out of line. Mean-reversion is a self-correcting mechanism, tempering (albeit only weakly) the exuberance of financial markets.

Such trending/mean-reverting properties exist not only in equity indices but also in bonds, FX, and commodity markets. The article concluded,

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…we have provided some further evidence that markets trend on the medium term (months) and mean-revert on the long term (several years). This dovetails with Black’s intuition that prices tend to be off by a factor of two: it takes roughly six years for the price of an asset with 20 % annual volatility to vary by 50 %.

As a result, the authors recommended diversifying investment strategies, i.e. mixing trending and mean-reverting strategies. This is indeed a common practice in the industry,

From a very practical point of view, our results suggest that universal trend following strategies should be supplemented by universal “value” strategies that mean-revert on long term returns. As is well known, trend following strategies offer a hedge against market drawdowns; value strategies offer a hedge against over-exploited trends. As a consequence, we find that mixing both strategies significantly improves the profitability of the resulting portfolios.

References

[1] J. P. Bouchaud, S. Ciliberti, Y. Lempérière, A. Majewski, P. Seager, K. Sin Ronia, Black was right: Price is within a factor 2 of Value, arXiv:1711.04717

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