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Tuesday
Jul122011

About Stocks Cointegration

Cointegration is a confidence level that when two securities (long and short) deviate in valuation, they will revert to the mean.  Here’s a more technical definition given by economists Robert Engle and Clive Granger:

"If each individual stock price series exhibits a random walk (non-stationary) but a linear combination of them is stationary, then they are said to be cointegrated.”

Cointegration is an essential part of our statistical based spread trading strategy.  Because this strategy entails trading in and out of numerous spreads we can’t possibly know everything about all of the securities we trade.  Instead we use the statistical history of a spread as a proxy for detailed knowledge of each security.  We believe that over the long run (but definitely not the short run) the law of one price is enforced in financial markets.  That is if two securities have the same payout they will have the same price.  We are interested in finding spreads that when they have deviated from the law of one price in the past, consistently returned to that price.  The cointegration confidence interval tells us the likelihood that we have found such a spread.

Suppose you trade spreads on fundamentals only.  Can you also use cointegration?  Why not?  As we have said before, mash up different ideas and recipes.  There is no reason why a trader can’t combine different trading approaches.  We will write more about some of these statistical approaches in the future.

Written by Norm Winer. Follow me on Twitter and StockTwits.

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Reader Comments (4)

I "love" pair trading. It fits in with my general view taht I have no ideia where the market is going. I am suprised ther are not more comments /trades on stocktwits/twitter. Today I traded $LOW-$HD ; $TXN-$SPY ; and $FFIV-$CRM .

July 12, 2011 | Unregistered CommenterJoao Pedro Oliveira

Thanks for the comment Joao. What methodology do you use to select pairs? We tweet our spread/pair trades with "$spread" in the body of the message. Gets some people's attention.

July 12, 2011 | Registered CommenterNorman Winer

Joao,

We post to Twitter and StockTwits under @biggercapital @biggercapitalnw @fledglingtrader @slimshappy .

Michael

July 13, 2011 | Registered CommenterMichael Bigger

Sounds like another definition of cointegrated would be: When we back-tested this spread trading model it made a lot of money?

I assume you are then going to immediately question why the relationship held and why it might fall apart or why you think it may be better/same going forward. Most relationships tend to change some over time...I believe some good fundamentals knowledge(which can be quantitative and systematic as well, just with a little extra database and scraper/coding work!) can often greatly enhance the risk/reward of a spread trading strategy.

Covariance/correlations/cointegration...I've actually started to consider these fundamentals. Gas coal price correlation is way up since March of 2011...it was close to zero during much of 2010. The change has been a reflection of some really deep fundamentals at work IMO.

July 14, 2011 | Unregistered CommenterGabe

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