Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models

Rodrigo Targino, Gareth W. Peters and Pavel V. Shevchenko

Papers from arXiv.org

Abstract: In this paper we assume a multivariate risk model has been developed for a portfolio and its capital derived as a homogeneous risk measure. The Euler (or gradient) principle, then, states that the capital to be allocated to each component of the portfolio has to be calculated as an expectation conditional to a rare event, which can be challenging to evaluate in practice. We exploit the copula-dependence within the portfolio risks to design a Sequential Monte Carlo Samplers based estimate to the marginal conditional expectations involved in the problem, showing its efficiency through a series of computational examples.

Date: 2014-10, Revised 2015-02
New Economics Papers: this item is included in nep-rmg
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Citations: View citations in EconPapers (17)

Published in Insurance: Mathematics and Economics 61 (2015) 206-226

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Journal Article: Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1410.1101

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