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

learn more… | top users | synonyms

0
votes
0answers
40 views

Detrending before cointegration

When checking for co-integration , is it necessary to detrend the time series? What is the best way to go about it?
6
votes
2answers
204 views

Co-integration constraints of coint(X,Z) given coint(X,Y) and coint(Y,Z)?

The Augmented Dickey-Fuller Test can be used to measure how well ranked certain pairs are against others for co-integration. So then say we have a known co-integration between ...
1
vote
0answers
176 views

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 ...
2
votes
1answer
518 views

ADF test in R yielding perfect cointegration. How is this possible?

I am using the famous conintegrated pairs tutorial to just different stocks for cointegration. The adf.test yeilds perfect cointegration, which I feel must be incorrect. Here is why: When I run ...
2
votes
1answer
134 views

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 ...
4
votes
1answer
565 views

Cointegrating relationships - Johansen in R

I read the posts, How to interpret results of Johansen Test? and How to interpret the eigenmatrix from a Johansen cointegration test? But still I am quite confused by the output. I have a project with ...
3
votes
1answer
462 views

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: ...
3
votes
0answers
385 views

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: ...
2
votes
0answers
229 views

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: ...
2
votes
2answers
2k views

Cointegration tests

I'm trying to figure out how to perform cointegration tests in R between 2 time series. I'm using po.test from the package ...
2
votes
1answer
225 views

Using cointegration to prove that a long-short strategy is market neutral (in CAPM sense)

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 ...
1
vote
0answers
117 views

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 ...
2
votes
1answer
259 views

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 ...
3
votes
1answer
424 views

Pairs trade CDS contracts using cointegration

Recently I have looked at some sovereign CDS spreads (of the Nordic countries to be precise) and have tested for cointegration in the levels (i.e. untransformed) and logs of the spreads. Tests ...
5
votes
0answers
270 views

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 ...
4
votes
2answers
662 views

Cointegration trading: Ignoring pairs that aren't economically related

Cointegration trading question What's the state of the art when it comes to choosing proper subsets of stocks/assets where cointegrating relationships aren't ignored as (likely to be) spurious? For ...
10
votes
1answer
503 views

Meta-view of different time-series similarity measures?

While I spend most of my StackExchange time on MathematicaSE, I'm in the business and follow the questions and answers on this site with great interest. Recently questions like the following (and ...
3
votes
1answer
6k views

How to interpret results of Johansen Test?

I have two time-series a & b. The objective is to find out whether two series are cointegrated or not. I am using Johansen Test in R to find this out. I am using urca package of R. Here is the ...
5
votes
2answers
578 views

cointegration applied to Portfolio Construction & Risk management

There are all sorts of applications of cointegration to generating alpha on mean-reverting timeseries: comparing spot vs. futures, bond spreads, identifying mean-reverting residuals, etc. But there ...
3
votes
2answers
419 views

Entry and exit points for very short mean-reverting timeseries

I have a model specifying a cointegration relationship on a number of transaction-level timeseries. I would like to specify entry and exit points for trades where these points ideally would be just ...
4
votes
3answers
718 views

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 ...
1
vote
1answer
507 views

Two prices pass the cointegration test but there is a trend. How to check stationarity?

Below is a spread built with two ETFs that pass the cointegration test i.e. Adjusted Dickey Fuller, adfTest(type="nc") in R's fUnitRoots with a p-value < 0.01. The red line is the trendline. What ...
6
votes
2answers
438 views

Choosing the time-frame to test for cointegration

Is there a technique to choose the time-frame for a cointegration test (eg Augmented Dickey-Fueller's)?
-1
votes
2answers
760 views

A gentle introduction to cointegration [duplicate]

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 ...
2
votes
1answer
310 views

Is there a measure for the 'degree' of cointegration

Is there a standard (or maybe even intuitive?) way of ranking pairs of cointegrated time series so that one could make statements like the following: ...
5
votes
0answers
406 views

What is the correct procedure to choose the lag when preforming Johansen cointegration test?

When preforming Johansen cointegration test for 2 time series (the simple case) you need to decide the lag you want to use. Doing the test for different lag levels returns different results: for some ...
19
votes
1answer
1k views

How do different methods and techniques used in pairs trading compare?

I was going through the paper of Avellaneda (2008) on stat arb and I found it interesting that he uses asset returns vs. their respective ETFs to compute the s-score. I am wondering if anyone has ...
3
votes
3answers
715 views

How to normalize Futures data(different leverage) for cointegration test?

For example I want to construct 2 time series, one for ES and the other for NQ and test for cointegration. ES one point equal to 50$. NQ one point equal to 20$. If I have the following data: ...
4
votes
1answer
372 views

Should cointegration be tested using close or adjusted close prices?

When doing cointegration tests should I use the adjusted close price or just close price for the time series? The dividend of each stock is on different dates and can cause jumps in the data.
7
votes
1answer
757 views

Why does the following data fail my cointegration test?

I have some closing price data for two Australian banks which track each other very closely. http://dl.dropbox.com/u/12337149/stat/CBA.csv http://dl.dropbox.com/u/12337149/stat/WBC.csv Code from ...
12
votes
1answer
4k views

How to interpret the eigenmatrix from a Johansen cointegration test?

I ran a Johansen cointegration test on 3 instruments, A B and C. The results that I got are: R<=x | Test Stat | 90% | 95% | 99% r=0 --> 36.7 | 18.9 | 21.1 | 25.8 r=1 --> ...
6
votes
2answers
1k views

Why does this Co-integrated basket look too good to be true?

You need quantmod & tseries in R to run this: ...
12
votes
2answers
439 views

Variable Selection in factor models

Let's say you have a dependent variable and many independent variables. What are the preferred metrics for sorting and selecting variables based on explanatory power? Let's say you are not concerned ...
25
votes
6answers
7k views

How are correlation and cointegration related?

In what ways (and under what circumstances) are correlation and cointegration related, if at all? One difference is that one usually thinks of correlation in terms of returns and cointegration in ...
12
votes
4answers
2k views

Are two identical time series cointegrated?

I did cointegration test on two identical time series, and the result shows that they are not cointegrated, but intuitively, I think they are. Can anyone share some thoughts on this? Thanks!
5
votes
2answers
677 views

How do I incorporate time-variability in a pair trading framework?

Recently I have been looking at pair trading strategies from a cointegration perspective, as described in chapter 5 of Carol Alexander's Market Risk Analysis volume 2. As most quantitative finance ...
13
votes
5answers
4k views

What is the intuition behind cointegration?

What is the intuition behind cointegration? What does the Dickey-Fuller test do to test for it? Ideally, a non-technical explanation would be appreciated. Say you need to explain it to an investor ...