Using parametric return autocorrelation tests and non parametric variance ratio statistics show that the UK and US short-term interest rates are unit root processes with significant mean reverting components. Congruent with this empirical evidence, we develop a new continuous time term structure...

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 analyzes the term structure of interest rates in an exchange-only Lucas (1978) economy where consumers learn about a stochastic growth rate through observations of the endowment process and an external public signal. We allow for deluded consumers, who exaggerate the degree of...

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...

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...

This chapter reviews some of the academic literature that links nominal and real term structures with the macroeconomy. The main conclusion is that none of our models is consistent with basic properties of nominal yields. It is difficult to explain the average shape of the nominal yield curve,...