# Tagged Questions

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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### Is the prediction of a cointegrated series of the same scale of the series itself?

Hi Quant Stack Exchange, Suppose $X_t$ and $Y_t$ are cointegrated and I form the cointegrated series $X_t+\alpha Y_t$ where $\alpha$ is derived from regressing $X_t$ against $Y_t$. $X_t$ and $Y_t$ ...
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### What does the cointegration coefficient represent in pairs trading when cointegrating log stock prices?

In Pairs Trading by Vidyamurthy, on page 83 (and throughout the book), the author describes an elementary example of trading with log prices. The long run equilibrium of the basic portfolio is given ...
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### how to mix trading signals for the same product?

I have multiple trading signals developed using cointegration on the same stock using various correlated assets. Is there a mathematical way to combine them to achieve better entry/exit points and ...
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### Cointegration for forex using ARMA model to forecast the spread

I am working on an automatized quantitative strategy that use cointegration in Forex. I am backtesting this strategy in Python. Please see below the python file: https://drive.google.com/file/d/...
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### cointegration strategy

If it can be proved that two time series $$S_t^1=\alpha + \beta S_t^2 + \xi_t$$ representing stocks are correlated, with $\beta=-2$ and then are proved to be cointegrated, how a portfolio should be ...
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### How to impose restriction on cointegrating vector in R, reproducible example

The code given below estimates a VEC model with 2 cointegrating vectors. It is a reproducible code, so just copy and paste into your R console (or script editor). ...
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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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### Interpretation of Johansen cointegration test in R

I am using urca package of R for Johansen Cointegration test in 2 stocks datas( A and B. My question is very elementar, but have cause some problems for me. How I interpret the critical values, for ...
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### Johansen cointegration test interpretation in R

I want to test my time series for cointegration using the Johansen test in R. I got the following result and so I know now that at least 5 out of 9 of my time series are cointegrated. My question is, ...
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### Imposing Restrictions on Cointegrating Vectors, R example

The code given below estimates a VEC model with 4 cointegrating vectors. It is a reproducible code, so just copy and paste into your R console (or script editor). ...
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### Problem with overlapping data when testing futures market efficiency

In my case non-overlapping data would represent the scenario where futures prices (3 months) do not correspond to the futures spot prices in terms of delivery date. For example, futures settlement ...
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### Estimating Daily Dynamics using Hourly Data

This article gives a nice outline of how daily data can be used to estimate cointegration on a monthly horizon. http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1404905 I'd like to use the same ...
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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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### Quantifing quality of cointegration

I'm trying to replicate instrument which is untradable. My approach is analysis of cointegration between it and three another time series (four variables in model) which correlates with it. I found ...
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### Assets cointegration: optimal inventory for futures market

I'm interested in HFT cointegration stratagies, and recently found interesting article "Algorithmic Trading of Co-Integrated Assets" The article describes mean-reversion strategy for N-assets. ...
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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: ...
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### Stepwise Cointegration

This is more of a general question at this point, but if my thought process makes sense I will follow up with an R implementation. I have read a number of papers on cointegration analysis for pairs ...
I am trying to prove that a long-short strategy invested according to the cointegrated relationship from Engle-Granger's. So essentially I'm trying to show that the return $r_{XY}$ of the portfolio (X ...