easy · Quantitative Finance

What is the result of using antithetic variates if the payoff function is highly non-monotonic or symmetric such that f(Z) ≈ f(-Z)?

  1. The variance of the estimator may actually increase.
  2. The convergence rate will become 1/M^2.
  3. The variance reduction will be maximized.
  4. The estimator will become biased toward zero.

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