金融风险管理中ES度量的非参数方法的比较及其应用

预期不足(ES)是近几年发展起来的用于测量和控制金融风险的量化工具.在金融时间序列中, 将两步核估计应用于两步ES非参数估计之中,得到了ES模型的两步核光滑估计. 通过计算其期望和方差,比较了两步核光滑ES估计与ES完全经验估计及一步核光滑估计的优劣,得到了有趣的结论: 与VaR模型不同, 两步光滑化并不能减小ES估计的方差,反而会增大其方差, 并通过计算机模拟证实了理论获得的结论.对国内沪深两市中的封闭式基金进行了实证分析,计算了样本基金的ES完全经验估计、一步核光滑估计和两步核光滑估计,并计算了样本基金基于周收益率和ES的两步核光滑估计的风险调整收益(RAROC),以此对样本基金的业绩做出了评价. 实证分析表明: 在不同的置信水平下,基于周收益率和ES计算的风险调整收益排名比基于周收益率和VaR计算的风险调整收益排名要更加稳定.

Nonparametric estimation and comparative analyses of ES in risk measure with applications

Expected shortfall(ES) model developed recently is a powerful mathematical tool to measure and control financial risk.In this paper,two-step kernel smoothed processes are used to develop a two-step nonparametric estimator of ES.Comparisons between the proposed two-step kernel smoothed ES estimator to the existing fully empirical ES estimator and one-step kernel smoothing ES estimator were made by calculating expectation and variance of them.It is of great interest that the proposed two-step kernel smoothed ...