Sunday, May 19, 2013. 06:23 PM

My research papers, policy analysis and random thoughts on topics such as crisis, regulations and financial risk.

Jon Danielsson - London School of Economics

Value-at-Risk and Extreme Returns

Jon Danielsson and Casper de Vries
May 2000

Accurate prediction of the frequency of extreme events is of primary importance in many financial applications such as Value--at--Risk (VaR) analysis. We propose a semi--parametric method for VaR evaluation. The largest risks are modelled parametrically, while smaller risks are captured by the non--parametric empirical distribution function. The semi--parametric method is compared with historical simulation and the J. P. Morgan RiskMetrics technique on a portfolio of stock returns. For predictions of low probability worst outcomes, RiskMetrics analysis underpredicts the VaR while historical simulation overpredicts the VaR. However, the estimates obtained from applying the semi--parametric method are more accurate in the VaR prediction. In addition we study the role of an option that lowers the downside risk of the portfolio.