This paper demonstrates how to value American interest rate options under the jump extended constant-elasticity-of-variance (CEV) models. We consider both exponential jumps (see Duffie, Pan, and Singleton (2000)) and lognormal jumps (see Johannes (2004)) in the short rate process. We show how to...

Zinsderivate wie Swaps, Caps, Forwards oder Futures ermöglichen auf vielfältige Weise das Management von Zinsrisiken. Die Bewertung dieser Kontrakte erscheint jedoch meist wesentlich schwieriger und anspruchsvoller als die Bewertung von Aktien- oder Währungsderivaten, da Anleihen besondere...

The relationship between affine stochastic processes and bong pricing equations in exponential term structure models has been well established. We connect this result to the pricing of interest rate derivatives. If the term structure model is exponential afffine, then there is a linkage between...

This book provides a modular pricing framework which allows the valuation of interest-rate derivatives in a general jump-diffusion setup. Starting with a comparison of three Fourier-style pricing methodologies, the book covers the derivation of Fourier-transform based solutions for different...