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講題: Efficient Simulation of Value at Risk with Heavy-Tailed Risk Factors
演講者:王仁和 教授(淡江大學財務金融學系)
Abstract : Simulation of small probabilities has important applications in many disciplines. The probabilities consid-
ered in value-at-risk (VaR) are moderately small. However, the variance reduction techniques developed in
the literature for VaR computation are based on large deviations methods, which are good for very small
probabilities. Modeling heavy-tailed risk factors using multivariate t distributions, we develop a new method
for VaR computation. We show that the proposed method minimizes the variance of the importance sam-
pling estimator exactly, while previous methods produce approximations to the exact solution. Thus, the
proposed method consistently outperforms existing methods derived from large deviations theory under
various settings. The results are confirmed by a simulation study.
時間:2010年11月16日(星期二) 14:00 ∼ 17:00
地點:推廣大樓3樓9313室
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