In this paper, we present a model for the joint stochastic evolution of the cumulative loss process of a credit portfolio and of its probability distribution. At any given time, the loss distribution of the portfolio is represented using forward transition rates, i.e. the transition rates of a...

This paper provides regime-switching stochastic volatility extensions of the LIBOR market model. First, the instantaneous forward LIBOR volatility is modulated by a continuous time homogeneous Markov chain. In a second parameterization, the volatility is modelled by a square root process with a...

We describe a model for the optimization of the issuances of Public Debt securities developed together with the Italian Ministry of Economy and Finance. The goal is to find the composition of the portfolio issued every month which minimizes a specific "cost function". Mathematically speaking,...

The challenge of international term structure models is to simultaneously account for the properties of interest rate term structures and foreign exchange rates within an arbitrage-free framework. We extend the quadratic term structure models proposed in Leippold and Wu (2002) to multiple...

In this paper we discuss the implementation of general one-factor short rate models with a trinomial tree. Taking the Hull-White model as a starting point, our contribution is threefold. First, we show how trees can be spanned using a set of general branching processes. Secondly, we improve...

In a recent paper, Collin-Dufresne and Goldstein (2002) show that the movements of the yield curve and of interest rate derivatives are mostly uncorrelated, advocating the presence of unspanned volatility. This letter shows that their results can be explained in the framework of a Gaussian HJM...

We develop a continuous time general equilibrium yield curve model under ambiguity aversion. A moderate level of ‘aggregate ambiguity’ affects significantly the term structure and can drive the prices of common interest rate derivatives toward the patterns observed in fixed income markets....

We propose an affine term structure model which accommodates non-linearities in the drift and volatility function of the short-term interest rate. Such non-linearities are a consequence of discrete beta-distributed regime shifts constructed on multiple thresholds. We derive iterative closed form...

We develop a continuous time general equilibrium model for the term structure of interest rates where economic agents are averse to model uncertainty and consider the possibility of a misspecified dynamic model for the latent risk factors driving interest rates. Aversion to model uncertainty is...

We develop intuitive expressions for the spread between a forwardcontract and a similar futures contract taking into account the pos-sibility of counterparty default. We evaluate these expressions nu-merically and show that the forward-futures spread is significant forrealistic parameter...