We consider the design and estimation of quadratic term structure models. We start with a list of stylized facts on interest rates and interest rate derivatives, classified into three layers: (1) general statistical properties, (2) forecasting relations, and (3) conditional dynamics. We then...

This paper introduces stochastic volatility to the Libor market model of interest rate dynamics. As in Andersen and Andreasen (2000a) we allow for non-parametric volatility structures with freely specifiable level dependence (such as, but not limited to, the CEV formulation), but now also...

In this paper we empirically compare a wide range of different term structure models when it comes to the pricing and, in particular, hedging of caps and swaptions. We analyze the influence of the number of factors on the hedging and pricing results, and investigate which type of data...

We derive general properties of two-factor models of the term structure of interest rates and, in particular, the process for futures prices and rates. Then, as a special case, we derive a no-arbitrage model of the term structure in which any two futures rates act as factors. In this model, the...

The market model of interest rates specifies simple forward or LIBOR rates as lognormaly distributed, their stochastic dynamics has a linear volatility function. This model is extended to quadratic volatility which is the product of a quadratic polynomial and a level-independent covariance...

The paper documents a persistent and thus far largely overlooked empirical regularity in the yield curve: the tendency for the term structure of long term forward rates to slope downwards. The persistence of this feature is demonstrated using data on US and UK Government conventional (nominal)...

This paper investigates the effect of interest rate correlation in the pricing of Bermudan swaptions. Investigating both Gaussian Markov models and Libor Market models, we find that Bermudan swaption prices depend only weakly on the number of factors in the underlying interest rate model....

We identify and characterize a class of term structure models where bond yields are quadratic functions of the Markov process. We label this class as the 'quadratic class' and aim to lay a solid theoretical foundation for its future empirical application. We contribute to the literature in three...

In this paper we empirically analyze and compare the Libor and Swap Market Models, developed by Brace, Gatarek and Musiela (1997) and Jamshidian (1997), using paneldata on prices of US caplets and swaptions. A Libor Market Model can directly be calibrated to observed prices of caplets, whereas a...

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...