I have rolling 3-year returns for an asset and a benchmark.

I want to compare the covariance of the asset and benchmark, should I use the covariance of the rolling 3-year returns or the covariance of the data at the weekly frequency (the underlying data)?

  • $\begingroup$ What are you trying to do, i.e. what is your research question? Typically, the co-variance is measured by the underlying data. $\endgroup$ – skoestlmeier Aug 23 '19 at 15:36
  • $\begingroup$ As part of CAPM, to calculate Beta (by doing cov/var) and multiply this amount by the returns of the benchmark (minus the Rf). Should the returns be cumulative or simple? If cumulative, is the covariance calculated on these rolling cumulative returns or on the underlying monthly returns? $\endgroup$ – santorch Aug 23 '19 at 15:46
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    $\begingroup$ You are able to calculate market-beta with your stated formula whether you believe the CAPM holds or not. However, your input data are just simple returns, i.e. daily total returns (including dividend payments, adjusted for corporate actions like stock splits, etc.) $\endgroup$ – skoestlmeier Aug 26 '19 at 7:33
  • $\begingroup$ Is there anything stating the log returns are more appropriate to use? $\endgroup$ – santorch Aug 26 '19 at 10:38
  • $\begingroup$ Take at look at this answer. $\endgroup$ – skoestlmeier Aug 26 '19 at 13:19

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