Gaussian K-scheme: justification for KLNV method

  • Shigeo KusuokaEmail author
Part of the Advances in Mathematical Economics book series (MATHECON, volume 17)


We give a mathematical justification for the KLNV-method, K-scheme based on Gaussian random variables given in Ninomiya–Victoir (Appl. Math. Financ. 15:107–121, 2008) and Ninomiya–Ninomiya (Finance Stoch. 13:415–443, 2009), by using the partial Malliavin calculus and Lie algebra.

Key words

Computational finance Lie algebra Malliavin calculus Option pricing 



Partly supported by the twenty-first century COE program at Graduate School of Mathematical Sciences, the University of Tokyo.


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Copyright information

© Springer Japan 2013

Authors and Affiliations

  1. 1.Graduate School of Mathematical SciencesThe University of TokyoTokyoJapan

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