(1) Am I correct from your view that looking on a chart, should two stock plots for a given time period be perfectly superimposed on each other the entire time, the entire term of that chart would have this pair as zero SD ?
(2) If the answer is "yes" to the above question, looking at this chart (a historical chart) that has RAI traditionally above LO, would not the SD being zero be somewhere between the two plots, not their crossing ?
Very good observation deucy...and yes your are correct in #1. My lookback period (set of data points) is slightly different than yours. With that said for this discussion I'll adjust my lookback period to 80 days, or 4 months (to match your chart example), so we are comparing apples to apples. With an 80 day lookback RAI LO hit zero STD around 1:30 EST on June 25th. So you are absolutely correct in that zero was not reached at the crossing point on your chart...rather the crossing point of the historical price ratio mean (which is just another way of saying the average price ratio over your lookback period).
FYI...I actually exited RAI LO at .44 STD so prior to full mean reversion. That is my style. My auto exit settings will always close the pair prior to zero STD b/c I've found that there is a lot of 'noise' around zero STD. Again, nice catch on seeing that at the crossing point of the two stocks on your chart example was not zero STD...it was a bit later the pair reached full reversion.
Not to sound pitchy, but you should check out our software...I can clearly see how it would benefit your trading. Just looking at your few examples I can easily model an automated system around it. Although you are much longer term and less active, Iris is able to monitor and manage as many pairs as you can input...far exceeding human capabilities. I traded pairs manually for 8 years before I co-founded a fund out east, at which point I turned to full automation. After seeing much success from the automated pairs trading approach, a few years ago I decided to create a software company to develop a retail version of our pairs black box...and Iris was born. Iris can be traded in full automation, semi-auto (auto entry only or auto exit only), or manually...obviously I prefer full automation.
PG