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I'd like to assemble a basket of stocks that correlate strongly with
indexes, say for the last year. So I figure I'll search for stocks that
have a high "Pearson product moment correlation coefficient" (phew, copied
that from Excel, glad I didn't have to say it out loud) with the
index. But since I don't truly grasp the details of the formula (after
staring at it for quite a while), here's my question:
What data do I enter into the formula, which compares two identically-sized
arrays of values? I figure I'll have two arrays of data, each 252 days
long. But if I take the % return: over what period of time should the %
return be calculated (daily?, weekly?, monthly?). And doesn't the %
return have large distortions, when the values become very small? After
all, 0.00001% is mathematically about a zillion times bigger than
0.0000000000000001%, but in the real world they're both ~ 0.0 .
Is there a "right" way to do a correlation study, that addresses these issues?
Thanks for any comments.
Paul
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