The market model of interest rates specifies simple forward or Libor rates as lognormally distributed, their stochastic dynamics has a linear volatility function. In this paper, the model is extended to quadratic volatility functions which are the product of a quadratic polynomial and a...

We propose a general framework for efficient pricing via a Partial Differential Equation (PDE) approach of cross-currency interest rate derivatives under the Hull-White model. In particular, we focus on pricing long-dated foreign exchange (FX) interest rate hybrids, namely Power Reverse Dual...

It is well known that the Cox-Ingersoll-Ross (CIR) stochastic model to study the term structure of interest rates, as introduced in 1985, is inadequate for modelling the current market environment with negative short interest rates. Moreover, the diffusion term in the rate dynamics goes to zero...

This article focuses on the LIBOR manipulation scandal officially revealed by the U.S. and U.K. authorities in June 2012. The article indicates that this scandal is in reality an outcome of the financial efficiency problem in the developed markets along with other reasons. LIBOR is a widely used...

We propose an innovative multi-curve model involving interest rates and (ordered) spreads which are modeled by arithmetic martingale processes being larger than some arbitrarily chosen constant. Under our mean-reverting pure-jump approach, we derive tractable martingale representations for the...

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...

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...

The credit valuation adjustment (CVA) of OTC derivatives is an important part of the Basel III credit risk capital requirements and current accounting rules. Its calculation is not an easy task - not only it is necessary to model the future value of the derivative, but also the probability of...