Alternative approaches to hedging swaptions are explored and tested by simulation. Hedging methods implied by the Black swaption formula are compared with a lognormal forward LIBOR model approach encompassing all the relevant forward rates. The simulation is undertaken within the LIBOR model...

This paper presents the one- and the multifactor versions of a term structure model in which the factor dynamics are given by Cox/Ingersoll/Ross (CIR) type quot;square rootquot; diffusions with piecewise constant parameters. The model is fitted to initial term structures given by a finite number...

The Market Models of the term structure of interest rates, in which forward LIBOR or forward swap rates are modelled to be lognormal under the forward probability measure of the corresponding maturity, are extended to a multicurrency setting. If lognormal dynamics are assumed for forward LIBOR...

The present paper analyses a broad range of one- and multifactor models of the term structure of interest rates. We assess the influence of the number of factors, mean reversion, and the factor probability distributions on the term structure shapes the models generate, and use spread options as...

Contracts paying a guaranteed minimum rate of return and a fraction of a positive excess rate, which is specified relative to a benchmark portfolio, are closely related to unit-linked life-insurance products and can be considered as alternatives to direct investment in the underlying benchmark....

We compare short rate diffusion models with respect to their implications for term structure movements, the plausibility of which serves us as a criterion for evaluating the models. Analytically for Gauss-Markov models and numerically for a broader collection of models prevalent in the...

This article analyzes a broad range of one* and multifactor models of the term structure of interest rates. We assess the influence of the choice of factor probability distributions on the term structure shapes the models generate, and use spread options as an aggregate measure of the relative...

This paper examines the pricing of interest rate derivatives when the interest rate dynamics experience infrequent jump shocks modelled as a Poisson process and within the Markovian HJM framework developed in Chiarella amp; Nikitopoulos (2003). Closed form solutions for the price of a bond...

The defaultable forward rate is modeled as a jump diffusion process within the Schonbucher (2000, 2003) general Heath, Jarrow and Morton (1992) framework where jumps in the defaultable term structure cause jumps and defaults to the defaultable bond prices. Within this framework, we investigate...

Ein Bewertungsmaß das auf den sog. Zustandspreisen basiert, erlaubt in Binomialmodellen der Zinsstruktur die Konstruktion eines einheitlichen Modellrahmens und eines effizienten Algorithmus zur Implementation. Dieser Rahmen ist geeignet, die sich aus der Bedingung der Arbitragefreiheit...