In this paper, we characterize explicitly the first derivative of the Value at Risk and the Expected Shortfall with respect to portfolio allocation when netting between positions exists. As a particular case, we examine a simple Gaussian example in order to illustrate the impact of netting...

Most time series models used in econometrics and empirical finance are estimated withmaximum likelihood methods, in particular when interest centers on density and Value{at{Risk (VaR) prediction. The standard maximum likelihood principle implicitly placesequal weight on each of the observations...

We propose a new dynamic model for volatility and dependence in high dimensions, that allows for departuresfrom the normal distribution, both in the marginals and in the dependence. The dependence is modeled with adynamic canonical vine copula, which can be decomposed into a cascade of bivariate...

In order to capture observed asymmetric dependence in international financial returns, we construct amultivariate regime-switching model of copulas. We model dependence with one Gaussian and onecanonical vine copula regime. Canonical vines are constructed from bivariate conditional copulas...

We investigate the consequences for value-at-risk and expected shortfall purposes of using a GARCH filter on various mis-specified processes. In general, we find that the McNeil and Frey (2000) two step procedure has very good forecasting properties. Using an unconditional non filtered tail...

We study in a general perspective the partial equilibrium incentives and the general equilibrium asset pricing implications of Value-at-Risk (VaR) regulation in continuous time economies with intermediate consumption, stochastic opportunity set, and heterogenous attitudes to risk. Our findings...

The recursive prediction and filtering formulas of the Kalman filter are difficult to implementin nonlinear state space models. For Gaussian linear state space models, or for models with qualitativestate variables, the recursive formulas of the filter require the updating of a finite number...

Empirical studies have shown that a large number of financial asset returns exhibit fat tails and are often characterized by volatility clustering and asymmetry. Also revealed as a stylized fact is Long memory or long range dependence in market volatility, with significant impact on pricing and...

We study the risk of holding credit default swaps (CDS) in the trading book. In particular, wecompare the Value at Risk (VaR) of a CDS position to the VaR for investing in the respectivefirm’s equity. Our sample consists of CDS – stock price pairs for 86 actively traded firms overthe period...

Market liquidity is the ease of trading an asset. Its risk is the potential loss, because a security can only be traded at high or prohibitive costs. While the omnipresence and importance of market liquidity is widely acknowledged, it has long remained a more or less elusive concept. Treatment...