Questions tagged [cointegration]

Cointegration is often used in statistical abitrage as a way to identify how to combine some tradable instrument to obtain a mean reverting one.

Before asking any question about cointegration, please read this paper: A Drunk and Her Dog: An Illustration of Cointegration and Error Correction by Michael P. Murray in The American Statistician, Vol. 48, No. 1 (Feb., 1994), pp. 37-39.

From the viewpoint of the users of quant.stackexchange, questions on cointegration can be clustered in several categories:

Before asking a new question you should check that it has not been already asked, and at least look at the associated wikipedia article. Please feel free to enrich the wikipedia page thanks to the answer found at stackexchange.

For more bibliographic reference, see the associated citeulike search.

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What are the applications of cointegration?

We have had several posts on cointegration, and I must admit that I have only seen them mentioned here and there but I have no real experience using this concept. My question is pretty simple: how do you use cointegration to create strategies? In…
SRKX
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R Outputs from Johansen test. Linear combination still not stationary?

I am trying to see if house price is cointegrated with interest rate, per capita income and rental vacancy rate and got the following output from ca.jo in R: # Johansen-Procedure # ###################### Test type: maximal eigenvalue statistic…
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Trend in Cointegration relationship

I was estimating a long-run relationship of exchange rate and purchasing power parity. The residual of the long-run relation which should be $I(0)$, but it is only $I(0)$ when I introduce trend in the long-run relationship. Can someone provide the…
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How do we know if cointegration is down to luck?

I have done some analysis of various pairs of tickers on the NYSE. I did a brain dead algorithm to come up with all combinations of pairs and then checked all pairs for cointegration/stationarity. I found one pair that backtested to 40% returns over…
brownie74
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Cointegration on prices or difference of prices

Is it better to run my cointegration tests on prices or difference of prices? Difference of prices are more likely to be stationary so the results of my regression (which gives me the beta for my cointegration pair) are likely to be more…
ababoua
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Different ways to identify a co-integrated series?

I have been reading and trying out stuff until I am totally confused and back to square one. Could someone please explain the difference between the two methods suggested below? Suppose I have 10 stock price series that are I(1). I can use…
pavybez
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How rare is cointegration in the case of stocks?

I did some cointegration tests on a 50 stocks sample, whith which I created pairs. I used the Engle-Granger approach and the Johansen approach, both of them gave me a high percentage of cointegrated pairs(45% and 96%). I'm fairly sure about the way…
Alec Ric
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A gentle introduction to cointegration

Possible Duplicate: What is the intuition behind cointegration? Although having a postgrad degree in mathematics, I haven't used any maths 'in anger' for quite a few years now, so I am quite rusty (actually, VERY rusty). I am looking for a gentle…
Homunculus Reticulli
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