In this paper we model the dynamic multivariate density of discrete bid and ask quote changes and their associated depths. We account for the contemporaneous relationship between these trading marks by exploiting the concept of copula functions. Thereby we show how to model truncations of the...

This chapter explains how the main types of credit derivatives work and how they are valued. Central to the valuation of credit derivatives is an estimation of the probability that reference entities will default. The chapter discusses both the risk-neutral probabilities of default implied from...

A copula approach is used to examine the extreme return-volume relationship in six emerging East-Asian equity markets. The empirical results indicate that there is significant and asymmetric return-volume dependence at extremes for these markets. In particular, extremely high returns (large...

We study the problem of finding the worst-case joint distribution of a set of risk factors given prescribed multivariate marginals with nonlinear loss function. The method has applications to any situation where marginals are provided, and bounds need to be determined on total portfolio risk....

The evidence on the dependence relationship of idiosyncratic risks among public-listed banks is unclear in the presence of bailout event in recent financial crisis. There is suspicion on the effects of bailout regimes on the idiosyncratic risks distribution among different size-paired banks. We...