Sciweavers

Share
IOR
2010

Stochastic Root Finding and Efficient Estimation of Convex Risk Measures

9 years 6 months ago
Stochastic Root Finding and Efficient Estimation of Convex Risk Measures
Reliable risk measurement is a key problem for financial institutions and regulatory authorities. The current industry standard Value-at-Risk has several deficiencies. Improved risk measures have been suggested and analyzed in the recent literature, but their computational implementation has largely been neglected so far. We propose and investigate stochastic approximation algorithms for the convex risk measure Utility-based Shortfall Risk. Our approach combines stochastic root finding schemes with importance sampling. We prove that the resulting Shortfall Risk estimators are consistent and asymptotically normal, and provide formulas for confidence intervals. The performance of the proposed algorithms is tested numerically. We finally apply our techniques to the Normal Copula Model, which is also known as the industry model CreditMetrics. This provides guidance for future implementations in practice. Key words: Convex risk measures, shortfall risk, stochastic approximation, stochastic...
Jörn Dunkel, Stefan Weber
Added 05 Mar 2011
Updated 05 Mar 2011
Type Journal
Year 2010
Where IOR
Authors Jörn Dunkel, Stefan Weber
Comments (0)
books