hard · Quantitative Finance

What is the primary advantage of using a 'control variate' in Monte Carlo simulation for pricing an arithmetic Asian option?

  1. Using the geometric Asian option's known closed-form price to reduce the estimator's variance.
  2. Increasing the speed of random number generation.
  3. Eliminating the need for the Cholesky decomposition.
  4. Ensuring the simulation converges in O(1/M) instead of O(1/√(M)).

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