eprintid: 1460851 rev_number: 52 eprint_status: archive userid: 608 dir: disk0/01/46/08/51 datestamp: 2015-05-27 10:57:38 lastmod: 2021-11-08 00:02:00 status_changed: 2015-05-27 10:57:38 type: article metadata_visibility: show item_issues_count: 0 creators_name: Targino, RS creators_name: Peters, GW creators_name: Shevchenko, PV title: Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F61 keywords: Risk management; Capital allocation; Sequential Monte Carlo (SMC); Copula models; Euler allocation. note: Copyright © 2015 Elsevier B.V. All rights reserved. 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: 2015-03-01 official_url: http://dx.doi.org/10.1016/j.insmatheco.2015.01.007 vfaculties: VMPS oa_status: green full_text_type: other primo: open primo_central: open_green verified: verified_manual elements_source: Scopus elements_id: 1009284 doi: 10.1016/j.insmatheco.2015.01.007 lyricists_name: Dos Santos Targino, Rodrigo lyricists_name: Peters, Gareth lyricists_id: TARGI65 lyricists_id: GWPET42 full_text_status: public publication: Insurance: Mathematics and Economics volume: 61 pagerange: 206 - 226 issn: 0167-6687 citation: Targino, RS; Peters, GW; Shevchenko, PV; (2015) Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models. Insurance: Mathematics and Economics , 61 206 - 226. 10.1016/j.insmatheco.2015.01.007 <https://doi.org/10.1016/j.insmatheco.2015.01.007>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1460851/3/Targino.CapitalAllocation.pdf