easy · Quantitative Finance

What is the primary function of Cholesky decomposition in Monte Carlo simulations for basket options?

  1. To calculate the eigenvalues and eigenvectors of the underlying asset return correlation matrix.
  2. To transform independent random draws into correlated draws that match a specified covariance matrix.
  3. To reduce the standard error of the Monte Carlo estimate using a dedicated variance reduction technique.
  4. To ensure that the covariance matrix used in the simulation is negative definite, not positive semi-definite.

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