Constant maturity swaps (CMS), CMS spreads and similar products are analyzed in multi-factor HJM models. For Gaussian models, which include some Libor Market Models and the G2 model, explicit approximated formula are provided. The approximations are done through two different approaches: an...

In this paper, the Federal Funds Rate Target and the one-year T-Bill are the two yield-factors explaining the movements of the term structure, Using Duffie and Kan (1996) approach, the two rates are consistently modeled and an affine model of the term structure results that is able to...

We build on Fackler and King (1990) and propose a general calibration model for implied risk neutral densities. Our model allows for the joint calibration of a set of densities at different maturities and dates. The model is a Bayesian dynamic beta Markov random field which allows for possible...

Pricing formulae for defaultable corporate bonds with discrete coupons (under consideration of the government taxes) in the united model of structural and reduced form models are provided. The aim of this paper is to generalize the structural model for defaultable corporate discrete coupon bonds...

This paper presents a method for calibrating a multicurrency lognormal LIBOR Market Model to market data of at-the-money caps, swaptions and FX options. By exploiting the fact that multivariate normal distributions are invariant under orthonormal transformations, the calibration problem is...

The goal of this paper is to specify market models for credit portfolios in a top-down setting driven by time-inhomogeneous Levy processes. We provide a new framework, conditions for absence of arbitrage, explicit examples, an affine setup which includes contagion and pricing formulas for STCDOs...