hard · Quantitative Finance

Why is the Cholesky Decomposition frequently used in multivariate Monte Carlo simulations of correlated asset prices?

  1. It ensures that the simulated asset prices can never become negative.
  2. It speeds up the generation of random numbers by reducing dimensionality.
  3. It is used to calculate the implied volatility of a basket of options.
  4. It transforms independent random draws into draws with a target covariance structure.

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