This paper develops a model and estimate simultaneously the joint dynamics of default-free and defaultable bond term structures.

In this paper we present a new methodology for modelling the development of the prices of defaultable zero coupon bonds that is inspired by the Heath-Jarrow-Morton (HJM) approach to risk-free interest rate modelling. Instead of precisely specifying the mechanism that triggers the default we...

This paper studies the term structure implications of a simple structural economy in which the representative agent displays ambiguity aversion, modeled by Multiple Priors Recursive Utility. Bond excess returns reflect a premium for ambiguity, which is observationally distinct from the risk...

With increasing appreciation of the fact that stock return variance is stochastic and variance risk is heavily priced, the industry has created a series of variance derivative products to span variance risk. The variance swap contract is the most actively traded of these products. It pays at...

This paper studies modelling and existence issues for market models of stochastic implied volatility in a continuous-time framework with one stock, one bank account and a family of European options for all maturities with a fixed payoff function h. We first characterize absence of arbitrage in...

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...

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...

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....