medium · FRM Part 1

If a correlation matrix is NOT positive semidefinite, what is the consequence for a Cholesky-based Monte Carlo simulation?

  1. The standard error of the VaR estimate will become infinite.
  2. The simulation will run but will generate zero correlation between assets.
  3. The algorithm will fail because it would require taking the square root of a negative number.
  4. The resulting portfolio variance will always be equal to one.

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