A Comparison of Monte Carlo, Lattice Rules and Other Low-Discrepancy Point Sets

  • Christiane Lemieux
  • Pierre L’Ecuyer
Conference paper


We explore how lattice rules can reduce the variance of the estimators for simulation problems, in comparison with the Monte Carlo method. To do this, we compare these two methods on option valuation problems in finance, along with two types of (t, s)-sequences. We also look at the effect of combining variance reduction techniques with the preceding approaches. Our numerical results seem to indicate that lattice rules are less affected by the “curse of dimensionality” than the other types of quasi-Monte Carlo methods and provide more precise estimators than Monte Carlo does.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Christiane Lemieux
    • 1
  • Pierre L’Ecuyer
    • 1
  1. 1.Département d’Informatique et de Recherche OpérationnelleUniversité de MontréalCanada

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