We propose a new approach for modeling non-linear multivariate interest rate processes based on time-varying copulas and reducible stochastic differential equations (SDEs). In the modeling of the marginal processes, we consider a class of non-linear SDEs that are reducible to Ornstein-Uhlenbeck...

This thesis consists of two related parts. In the first part we conduct an empiricalexamination of the dynamics of Australian interest rates of six different maturities,covering the whole yield curve. This direct study of the long rates is quite novel. Weuse maximum likelihood estimation on a...

In this paper, we study securities market models with fixed costs. We characterize the absence of arbitrage opportunities and we provide fair pricing rules. We then apply these results to extend some popular interest rate and option pricing models, which present arbitrage opportunities in the...

We consider an interest rate model with log-normally distributed rates in the terminal measure in discrete time. Such models are used in financial practice as parametric versions of the Markov functional model, or as approximations to the log-normal Libor market model. We show that the model has...

Unconventional monetary policy tools are based on the belief that there exists a zero-lower bound on interest rates. This paper argues, based on economic theory and the empirical evidence, that this belief is a myth and not a reality. It is shown that a negative default-free spot rate of...