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Sparse Hermite polynomial expansion and gradient

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Abstract and 1. Introduction

  1. Bermudan option pricing and hedging
  2. Sparse Hermite polynomial expansion and gradient
  3. Algorithm and complexity
  4. Convergence analysis
  5. Numerical examples
  6. Conclusions and outlook, Acknowledgments, and References


3. Sparse Hermite polynomial expansion and gradient. Sparse polynomial chaos expansion can serve as a surrogate model of unknown stochastic variables with finite second-order moments. The motivations of using sparse Hermite polynomial expansion for pricing and hedging American options are twofold:







Authors:

(1) Jiefei Yang, †Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong ([email protected]);

(2) Guanglian Li, Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong ([email protected]).


This paper is available on arxiv under CC by 4.0 Deed (Attribution 4.0 International) license.


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