Weiss, Christian and Nikolic, Zoran (2019). An aspect of optimal regression design for LSMC. Monte Carlo Methods Appl., 25 (4). S. 283 - 291. BERLIN: WALTER DE GRUYTER GMBH. ISSN 0929-9629
Full text not available from this repository.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 justificationwhy 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.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-126287 | ||||||||||||
DOI: | 10.1515/mcma-2019-2049 | ||||||||||||
Journal or Publication Title: | Monte Carlo Methods Appl. | ||||||||||||
Volume: | 25 | ||||||||||||
Number: | 4 | ||||||||||||
Page Range: | S. 283 - 291 | ||||||||||||
Date: | 2019 | ||||||||||||
Publisher: | WALTER DE GRUYTER GMBH | ||||||||||||
Place of Publication: | BERLIN | ||||||||||||
ISSN: | 0929-9629 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/12628 |
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