Risk Analysis Using Regression Quantiles: Evidence from International Equity Markets

In this paper we study risk management based on the quantile regression. Unlike the traditional VaR estimation methods, the quantile regression approach allows for a general treatment on the error distribution and is robust to distributions with heavy tails. We estimate the VaRs of five international equity indexes based on AR-ARCH model via quantile regressions. The empirical application show that the quantile regression based method is well suited to handle negative skewness and heavy tails in stock return time series.