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Implementing de-biased estimators using mixed sequences

  • Arun Kumar Polala and Giray Ökten EMAIL logo

Abstract

We describe an implementation of the de-biased estimator using mixed sequences; these are sequences obtained from pseudorandom and low-discrepancy sequences. We use this implementation to numerically solve some stochastic differential equations from computational finance. The mixed sequences, when combined with Brownian bridge or principal component analysis constructions, offer convergence rates significantly better than the Monte Carlo implementation.

MSC 2010: 65C05; 65C30

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Received: 2020-05-19
Accepted: 2020-09-15
Published Online: 2020-10-02
Published in Print: 2020-12-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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