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

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Johansen Cointegration Test

I just performed a Johansen Co-integration test on two stocks. The results I get are: ans = r0 r1 t1 true false I am using Matlab. Can ...
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Cointegration Test: Residual is stationary but not random?

I am testing cointegration relationship on various pairs of stocks by this following these steps. Test for I(1) on a pair of stocks, says X and Y, using dickey-fuller test. If both time series are ...
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Alternative ways to understand time-varying comovement between two time-series?

I have been looking into ways to better understand how the dependencies/correlations/etc between two time series can vary over time. I first thought about using a Kalman/particle filter over a ...
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How to determine ratios for mean-reverting basket

Suppose I have a basket of 3 securities A, B, and C. I believe that the basket is cointegrated and I want to create a mean-reverting trade. I fit the model: ...
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What's the practical difference between the Johansen vs Engle-Granger tests for cointegration?

For the two-variable case, what are the practical differences between using the Engle-Granger procedure versus the Johansen test for cointegration? Is one universally more powerful than the other? ...
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Philips-Ouliaris test for cointegration

I'm trying to implement cointegration tests using the R urca package. I've figured out the Johansen test (ca.jo), but I'm having trouble with the Philips-Ouliaris test (ca.po). I have two questions: ...
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pairs trading or long short strategy given volatility of the stocks

Suppose I have 2 stocks and the only thing I know about them is their volatility and that they cointegrate. Let's say vol of stock A is 25% and B is 20%. Will I be able to find a hedge ratio only ...
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Modelling long run relationship between dividend and earnings

I am working on a paper where I have to model the long run relationship between earnings and dividends. I have downloaded the raw data from shillers website. I have converted the series to ...
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After finding the pair, what next?

Had a question on how do I go about doing pairs trading. I have found some cointegrated stocks. Now the question is what next. From what I understand if two pairs are cointegrated, the distance ...
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Cointegration and variance of time series

Given that $X_t , Y_t$ are two cointegrated random processes, what can we say about the relationship between variance of the two increments $var(X_{t+h}-X_t)$ , $var(Y_{t+h}-Y_t)$ for a given ...
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Interpreting Johansen co integration test

I am a little new to econometrics. Please pardon me for this silly question. I was running a Johansen cointegration test on two time series using the econometrics toolbox provided by James LeSage for ...
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Interpretation of Cointegration results, pValues and t-Stat

This is a follow up to: Cointegration results interpretation validation? I ran another Engel Granger Test on a pair, The results I get: ...
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Need help in interpreting the Johansen co integration test

I got the following result for 10 markets Johansen cointegration in R as follows in the trace statistic, up to r<=9 is significant at 5% level. So what should be the cointegration interpretation? ...