We present two approximation methods for the pricing of CMS spread options in Libor market models. Both approaches are based on approximating the underlying swap rates with lognormal processes under suitable measures. The first method is derived straightforwardly from the Libor market model. The...

SFB 649 Discussion Paper 2006-038 Adaptive Simulation Algorithms for Pricing American and Bermudan Options by Local Analysis of Financial Market Denis Belomestny* Grigori N. Milstein** * Weierstrass Institute for Applied Analysis and Stochastics, Berlin,...

SFB 649 Discussion Paper 2006-043 An Iteration Procedure for Solving Integral Equations Related to Optimal Stopping Problems Denis Belomestny* Pavel V. Gapeev** * Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany ** Russian Academy of...

SFB 649 Discussion Paper 2006-051 Regression methods in pricing American and Bermudan options using consumption processes Denis Belomestny* Grigori N. Milstein** Vladimir Spokoiny* * Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany...

Summury In this note we consider the problem of confidence estimation of the covariance function of a stationary or locally stationary zero mean Gaussian process. The constructed confidence intervals are based on the usual empirical covariance estimate and a special estimate of its variance. The...

Finding non-Gaussian components of high-dimensional data is an important preprocessing step for efficient information processing. This article proposes a new linear method to identify the non-Gaussian subspace within a very general semi-parametric framework. Our proposed method, called NGCA...

In this paper we carry over the concept of reverse probabilistic representations developed in Milstein, Schoenmakers, Spokoiny (2004) for diffusion processes, to discrete time Markov chains. We outline the construction of reverse chains in several situations and apply this to processes which are...