TY - JOUR

T1 - Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models

AU - Targino, Rodrigo S.

AU - Peters, Gareth W.

AU - Shevchenko, Pavel V.

PY - 2015/3

Y1 - 2015/3

N2 - 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.

AB - 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.

U2 - 10.1016/j.insmatheco.2015.01.007

DO - 10.1016/j.insmatheco.2015.01.007

M3 - Article

SN - 0167-6687

VL - 61

SP - 206

EP - 226

JO - Insurance: Mathematics and Economics

JF - Insurance: Mathematics and Economics

ER -