medium · Quantitative Finance

If an estimated covariance matrix is not positive semi-definite (often due to asynchronous data), why is it considered invalid for portfolio optimization?

  1. It prevents the calculation of the expected return.
  2. It could lead to a portfolio having a negative variance.
  3. It implies that all asset correlations are equal to zero.
  4. It ensures that the Sharpe Ratio is always maximized.

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