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

Rodrigo S. Targino*, Gareth W. Peters, Pavel V. Shevchenko

*Corresponding author for this work

Research output: Contribution to journalArticle

8 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)206-226
Number of pages21
JournalInsurance: Mathematics and Economics
Volume61
DOIs
Publication statusPublished - 1 Mar 2015
Externally publishedYes

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