Regime switching is a well-known approach to incorporate significant changes in the modelling of financial data, like interest rates and default intensities. In the context of one of the standard pricing models, the CIR model with jumps, we analyse the effect of regime switching on the prices of...

In time series of financial data one often observes significant sudden changes as in the credit crisis in 2008. One way to model those changes is regime switching. Here we show how to handle regime switching in a tree associated with a Cox-Ingersoll-Ross short rate process

Values of tranche spreads of collateralized debt obligations (CDOs) are driven by the joint default performance of the assets in the collateral pool. The dependence between the names in the portfolio mainly depends on current economic conditions. Therefore, a correlation implied from tranches...

The Cox-Ingersoll-Ross (CIR)-process is a well-known model for interest rate or default rate modeling. Here we combine two existing tree approximations, each of them having some disadvantages, in order to obtain an improved tree implementation ensuring convergence for all CIR processes

This paper analyses the attributes and the significance of the roughness of oil market volatility. We employ unspanned stochastic volatility models driven by rough Brownian motions that yield semi-analytical prices for futures options entailing efficient calibration applications. By performing a...

We investigate the problem of modeling defaults of dependent credits. In the framework of the class of structural default models we study threshold models where for each credit the underling ability-to-pay process is a transformation of a Wiener processes. We propose a model for dependent...

The Cox-Ingersoll-Ross model is a diffusion process suitable for modeling the term structure of interest rates. In this paper, we consider estimation of the parameters of this process from observations at equidistant time points. We study two estimators based on conditional least squares as well...

Capital allocation principles are used in various contexts in which a risk capital or a cost of an aggregate position has to be allocated among its constituent parts. We study capital allocation principles in a performance measurement framework. We introduce the notation of suitability of...