Comparison of randomization techniques for low-discrepancy sequences in finance

This paper deals with comparisons of low-discrepancy sequences in terms of actual performance through numerical computation for option pricing. For that purpose, we construct a variety of randomized low-discrepancy sequences based on classical low-discrepancy sequences. A randomization structure by coordinate-wise and digit-wise permutations proves to give excellent results regardless of the classical low-discrepancy sequences. This paper represents only the author’s personal opinion, and has absolutely nothing to do with his affiliation.