hard · Quantitative Finance prob-stats

In a risk model, what is the geometric interpretation of the eigenvectors of a covariance matrix?

  1. The axes of the constant-probability ellipsoid of the return distribution.
  2. The vector of expected returns for each of the individual assets.
  3. The weights assigned to constituents of the market-cap weighted benchmark index.
  4. The implied rates of mean reversion for each asset in the portfolio.

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