It is commonly found in empirical studies that nominal interest rates contain a unit root, implying that these variables have a permanent memory. One of the characteristics of a nonstationary time series is that it has no tendency to return to its mean values, meaning that the series is trending...

To date the cointegrating properties and the regime-switching behavior of the term structure are two separate strands of the literature. This paper integrates these lines of research and introduces regime shifts into a cointegrated VAR model. We argue that the short run dynamics of the...

Pricing and hedging of long-term interest rate sensitive products require to extrapolate the term structure beyond observable maturities. For the resulting limiting term structure we show two results by postulating no arbitrage in a bond market with infinitely increasing maturities: long...

If calibrated to an observed term structure of interest rates that only covers a finite range of times-to-maturity an HJM-model of the term structure of interest rates will eventually die out in finite time as bonds reach maturity. This poses problems for the pricing and hedging of certain...

The effect of model and parameter misspecification on the effectiveness of Gaussian hedging strategies for derivative financial instruments is analyzed, showing that Gaussian hedges in the `natural'' hedging instruments are particularly robust. This is true for all models that imply...

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...

It is well-known that Gaussian hedging strategies are robust in the sense that they always lead to a cost process of bounded variation and that a superhedge is possible if upper bounds on the volatility of the relevant processes are available, cf. El Karoui, Jeanblanc-Picque and Shreve (1998)...

The paper developes a general arbitrage free model for the term structure of interest rates. The principal model is formulated in a discrete time structure. It differs substantially from the Ho--Lee-- Model (1986) and does not generate negative spot and forward rates. The results for the...

This study uses non-stationary econometrics to analyze asymmetry and dominance within the EMS through interest rate linkages between the French franc, the German deutsche mark and the US dollar. High frequency data (daily Eurorates from April 1983 to the end of 1992) are used for their better...