Improved Algorithms for Computing Worst Value-at-Risk: Numerical Challenges and the Adaptive Rearrangement Algorithm
Risk Management
2015-12-29 v2
Abstract
Numerical challenges inherent in algorithms for computing worst Value-at-Risk in homogeneous portfolios are identified and solutions as well as words of warning concerning their implementation are provided. Furthermore, both conceptual and computational improvements to the Rearrangement Algorithm for approximating worst Value-at-Risk for portfolios with arbitrary marginal loss distributions are given. In particular, a novel Adaptive Rearrangement Algorithm is introduced and investigated. These algorithms are implemented using the R package qrmtools.
Keywords
Cite
@article{arxiv.1505.02281,
title = {Improved Algorithms for Computing Worst Value-at-Risk: Numerical Challenges and the Adaptive Rearrangement Algorithm},
author = {Marius Hofert and Amir Memartoluie and David Saunders and Tony Wirjanto},
journal= {arXiv preprint arXiv:1505.02281},
year = {2015}
}