hard · Quantitative Finance numerical

A quant is performing a Monte Carlo simulation to price a path-dependent option. To reduce variance, they use antithetic variates.

If the correlation between the original payoff X and the antithetic payoff X' is ρ = -0.7, by what factor is the variance of the estimator reduced compared to a standard simulation using the same total number of paths?

  1. 3.33
  2. 1.70
  3. 0.30
  4. 1.43

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