We present a new multi-factor short rate model which is bounded from below by a real-valued function of time. The mean-reverting short rate process is modeled by a sum of pure-jump Ornstein-Uhlenbeck processes such that the related bond price possesses an affine representation. We also provide...

Based on a stylised financial system along with a systemic perspective thereof, we consider the structure of an aggregated banking system that is vulnerable to liquidity risks. Within this setup, a consistent mathematical modelling framework for term interest rate systems is derived that enables...

We introduce a class of interest rate models, called the α-CIR model, which gives a natural extension of the standard CIR model by adopting the α-stable L ́evy process and preserving the branching property. This model allows to describe in a unified and parsimonious way several recent...

Asset prices depend on two elements: the dynamics of the state variables and the pricing kernel. Traditional term structure models differ in factor dynamics. However, most of them imply a log-linear pricing kernel. We investigate empirically the role of factor dynamics and pricing kernel in...

The zero-coupon yield curve is a common input for most financial purposes. The authors consider three popular yield curve datasets, and explore the extent to which the decision as to what dataset to use for an application may have implications on the results. The paper illustrates why such...

The Gaussian affine interest rate models are widely used in the financial industry for pricing, hedging and also risk management purposes. We consider the multifactor models with time dependent parameters. Usually the models are simulated using some appropriate discretization schema because the...

In this paper, we present an arithmetic short rate model based on generalized Langevin equations. The innovative feature of the model is that it accounts for memory effects in interest rate markets via the involved Langevin processes. In this setup, we provide a representation for the related...

John Maynard Keynes (1930) asserted that the central bank sways the long-term interest rate through the influence of its policy rate on the short-term interest rate. Recent empirical research shows that Keynes's conjecture holds for long-term Treasury yields in the United States. This paper...

In this paper we illustrate and explain the relationship between interest rates (or forward rates) and discount factors. We present the forward-discount factor relationship, which is popular and widely used in financial markets for yield curve construction, and derive the exact formulae using a...