Engle and Manganelli (2004) propose CAViaR, a class of models suitable for estimating conditional quantiles in dynamic settings. Engle and Manganelli apply their approach to the estimation of Value at Risk, but this is only one of many possible applications. Here we extend CAViaR models to...

Basel II regulatory capital formula could imply substantial gaps between the long run PD and the short run historical average. Hence, banks might need to raise their short run historical average of internal PD substantially. Under through-the-cycle rating system, they might have to increase it...

In pricing primary-market options and in making secondary markets, financial intermediaries depend on the quality of forecasts of the variance of the underlying assets. Hence, the gain from improved pricing of options would be a measure of the value of a forecast of underlying asset returns....