Butter Production in Bangladesh, USD/JPY And The S&P 500

 | Dec 10, 2014 10:39AM ET

Back in 1995, Caltech’s Dr. David J. Leinweber published a research paper showing three simple variables that were highly correlated (r=.99) with the return on the S&P 500 stock market index over the last 10 years. Surely, if stock market returns could be forecasted with such accuracy, anyone who read the paper (which is freely available here ) would quickly become billionaires with their own private islands!

What were the three variables, you ask?

They were butter production in Bangladesh, cheese production in the US, and the combined sheep population of Bangladesh and the US.

What?!

By now, I would hope you realize something is amiss. To explain this bizarre finding, I’ll defer to the words of Leinweber himself: “The example in this paper is intended as a blatant example of totally bogus application of data mining in finance…If someone showed up in your office with a model relating stock prices to interest rates, GDP, trade, housing starts and the like, it might have statistics that looked as good as this nonsense, and it might make as much sense, even though it sounded much more plausible.”

The author’s point, and a critical lesson for all traders to keep in mind, is that all trading models have limitations and that spurious correlations abound in financial markets. All correlation data should be used with caution, and traders using such statistics must verify that there is an actual “transmission mechanism” between the two variables; in other words, does it actually make sense that butter production in Bangladesh impacts US stock market prices? Probably not. In the case of the recent strong correlation between USD/JPY and the S&P 500 though, the causal relationship is much more logical and actionable.

USD/JPY and S&P 500 Go Together like Peas and Carrots

As of writing, the rolling 20-day correlation between USD/JPY and the S&P 500 is .80, while the rolling 50-day correlation is even higher at .94. As the 4hr chart below shows, this correlation has been particularly tight of late: