This paper investigates methods of value-at-risk (VaR) estimation using extreme value theory (EVT). It compares two different estimation methods, 'two-step subsample bootstrap' based on moment estimation and m...This paper investigates methods of value-at-risk (VaR) estimation using extreme value theory (EVT). It compares two different estimation methods, 'two-step subsample bootstrap' based on moment estimation and maximum likelihood estimation (MLE), according to their theoretical bases and computation procedures. Then, the estimation results are analyzed together with those of normal method and empirical method. The empirical research of foreign exchange data shows that the EVT methods have good characters in estimating VaR under extreme conditions and 'two-step subsample bootstrap' method is preferable to MLE.展开更多
Value-at-Risk （VaR） estimation via Monte Carlo （MC） simulation is studied here. The variance reduction technique is proposed in order to speed up MC algorithm. The algorithm for estimating the probability of high ...Value-at-Risk （VaR） estimation via Monte Carlo （MC） simulation is studied here. The variance reduction technique is proposed in order to speed up MC algorithm. The algorithm for estimating the probability of high portfolio losses （more general risk measure） based on the Cross - Entropy importance sampling is developed. This algorithm can easily be applied in any light- or heavy-tailed case without an extra adaptation. Besides, it does not loose in the performance in comparison to other known methods. A numerical study in both cases is performed and the variance reduction rate is compared with other known methods. The problem of VaR estimation using procedures for estimating the probability of high portfolio losses is also discussed.展开更多
在文献中,分位点回归模型是线性的,但是在实际中,这个假设不能很好地满足需要.为此提出了分位点回归的门限模型,用该模型实证分析了单只股票(浦东发展银行)的条件 VaR.选择了一种流动性风险指标作为条件,因此该条件 VaR 也可以看作是流...在文献中,分位点回归模型是线性的,但是在实际中,这个假设不能很好地满足需要.为此提出了分位点回归的门限模型,用该模型实证分析了单只股票(浦东发展银行)的条件 VaR.选择了一种流动性风险指标作为条件,因此该条件 VaR 也可以看作是流动性调整的 VaR(La-VaR).经过实证分析发现,由门限分位点模型得到的结果能够更好地描述实际市场情况,也能更好地预测市场风险.展开更多
基金the National Natural Science Foundation of China (No. 79970041).
文摘This paper investigates methods of value-at-risk (VaR) estimation using extreme value theory (EVT). It compares two different estimation methods, 'two-step subsample bootstrap' based on moment estimation and maximum likelihood estimation (MLE), according to their theoretical bases and computation procedures. Then, the estimation results are analyzed together with those of normal method and empirical method. The empirical research of foreign exchange data shows that the EVT methods have good characters in estimating VaR under extreme conditions and 'two-step subsample bootstrap' method is preferable to MLE.
文摘Value-at-Risk （VaR） estimation via Monte Carlo （MC） simulation is studied here. The variance reduction technique is proposed in order to speed up MC algorithm. The algorithm for estimating the probability of high portfolio losses （more general risk measure） based on the Cross - Entropy importance sampling is developed. This algorithm can easily be applied in any light- or heavy-tailed case without an extra adaptation. Besides, it does not loose in the performance in comparison to other known methods. A numerical study in both cases is performed and the variance reduction rate is compared with other known methods. The problem of VaR estimation using procedures for estimating the probability of high portfolio losses is also discussed.
文摘在文献中,分位点回归模型是线性的,但是在实际中,这个假设不能很好地满足需要.为此提出了分位点回归的门限模型,用该模型实证分析了单只股票(浦东发展银行)的条件 VaR.选择了一种流动性风险指标作为条件,因此该条件 VaR 也可以看作是流动性调整的 VaR(La-VaR).经过实证分析发现,由门限分位点模型得到的结果能够更好地描述实际市场情况,也能更好地预测市场风险.
