An Aspect of Optimal Regression Design for LSMC

Christian Wei{\ss} and Zoran Nikoli\'c

Papers from arXiv.org

Abstract: Practitioners sometimes suggest to use a combination of Sobol sequences and orthonormal polynomials when applying an LSMC algorithm for evaluation of option prices or in the context of risk capital calculation under the Solvency II regime. In this paper, we give a theoretical justification why good implementations of an LSMC algorithm should indeed combine these two features in order to assure numerical stability. Moreover, an explicit bound for the number of outer scenarios necessary to guarantee a prescribed degree of numerical stability is derived. We embed our observations into a coherent presentation of the theoretical background of LSMC in the insurance setting.

Date: 2018-11, Revised 2019-05
New Economics Papers: this item is included in nep-ias and nep-rmg
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