Two methods for evolving forward the yield curve are evaluated and contrasted within a Monte Carlo experiment: one is originally presented by Rebonato et al. (2005) and the other by Bernadell et al. (2005). A detailed account for how to implement the models is also presented. Results suggest...

This note presents a simple, robust and computationally efficient way to calculate expectations of arbitrary future payoffs within the context of a Monte Carlo forward-induction methodology. The technique complements existing approximation techniques: while virtually all existing approximation...

We investigate the statistical properties of drawdowns and drawups in interest rates (US$) using over 10 years' worth of daily data. We analyse the nature of the drawdowns in terms of length of runs, magnitude of the individual price moves and coincidence of their occurrence across the maturity...

This paper tries to assess to what extent libertarian paternalism lives up to its libertarian credentials, and whether this “softer” version of paternalism is more or less desirable than the traditional, more coercive (but also more transparent) form. Since much is made in the libertarian...

This paper studies the codependence among, and drawdown and drawup properties of, US$ interest rates. The problem is attacked from the angle of regime switching. Different regimes are identified using the Hidden Markov Models (HMMs). The statistical properties in each state are examined...

This work presents the first systematic analysis of the whole swaption matrix by fitting a parsimonious, nonlinear, financially-inspired volatility model to market data. The study uses several years of data spanning period of major market volatility. We find that the quality of the fits is good...

Today's top financial-risk professionals have come to rely on ever-more sophisticated mathematics in their attempts to come to grips with financial risk. But this excessive reliance on quantitative precision is misleading--and it puts us all at risk. This is the case that Riccardo Rebonato makes...

An arbitrage-free two-factor model is presented, which is driven by the short rate and the consol yield, and which ensures log-normal short rate and positive rates. The market price of an arbitrary (discrete) set of discount bonds is recovered by construction, and an arbitrary degree of...

We present an extension of the LIBOR market model which allows for stochastic instantaneous volatilities of the forward rates in a displaced-diffusion setting. We show that virtually all the powerful and important approximations that apply in the deterministic setting can be successfully and...