Quote from Kevin_in_GA:
OK, interesting update.
I talked with Jared and asked him specifically about the time frame over which PTF determines the co-integration between a pair. He indicated that it is "based on the total period of data for the stocks."
That got me thinking ... does that mean that if I were to look at a single pair and get data for 1,2,3,4 ... 10 years, each time period saved as a separate backtest, that the co-integration would change?
I used ESRX:MDT (a pair that showed 0.99 co-integration over a 10 year period) and created separate backtest data as described above. Here are the results:
1 year co-integration: 0.34
2 year co-integration: 0.62
3 year co-integration: 0.54
5 year co-integration: 0.76
7 year co-integration: 0.98
10 year co-integration: 0.99
Raises an interesting question ... is it better to rely on long-term co-integration behavior, or short-term? My gut is telling me that short-term co-integration is what will be more important given the duration of most pair trades.
Thoughts?
This is great work. I think I agree with you. Co-integration should break down if something has changed fundamentally in the relationship. You can imagine that might happen between two stocks over 10 years. So it is more important that they are co-integrated in past 1 year or 2 years.
But I don't think the PTF real time co-integration is calculated like that. It seems much more fluid, changing every day. Almost as if using the same look back as correlation. If it was using 2 year data it won't walk 10% because the ratio is getting a little off.
If Jared can add the same chart as correlation over time that would be great. In the meanwhile maybe I run it on two computers, one using 2 year data and one using 3 month data...I don't know....