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SCS

Seminar

Computing risk measures by importance sampling

Hult, H; Svensson, J (KTH, Stockholm)
Monday 21 June 2010, 14:00-14:50

Seminar Room 1, Newton Institute

Abstract

Computation of extreme quantiles and tail-based risk measures using standard Monte Carlo simulation can be inefficient. A method to speed up computations is provided by importance sampling. We show that importance sampling algorithms, designed for e cient tail probability estimation, can signi.cantly improve Monte Carlo estimators of tail-based risk measures. In the heavy-tailed setting, when the random variable of interest has a regularly varying distribution, we provide su cient conditions for the asymptotic relative error of importance sampling estimators of risk measures, such as Value-at-Risk and expected shortfall, to be small. The results are illustrated by some numerical examples.

Presentation

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