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Nonlinear stochastic integrators, equations and flows
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ISBN: 2881247334 Year: 1990 Publisher: London Gordon and Breach

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Stochastic partial differential equations: six perspectives
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ISBN: 0821808060 Year: 1999 Publisher: Providence, R.I. American Mathematical Society

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Interest rate models : an infinite dimensional stochastic analysis perspective
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ISBN: 9783540270652 3540270655 3642066003 9786610902620 1280902620 3540270671 Year: 2006 Publisher: Berlin Springer


Digital
Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective
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ISBN: 9783540270676 Year: 2006 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg

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Paris-Princeton lectures on mathematical finance 2010
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ISBN: 3642146597 3642146600 Year: 2011 Publisher: Berlin ; Heidelberg : Springer,

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The Paris-Princeton Lectures on Mathematical Finance, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with articles by Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, Stéphane Crépey, Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, David Hobson, and Peter Tankov.


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Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective
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ISBN: 9783540270676 Year: 2006 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg

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Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective studies the mathematical issues that arise in modeling the interest rate term structure. These issues are approached by casting the interest rate models as stochastic evolution equations in infinite dimensions. The book is comprised of three parts. Part I is a crash course on interest rates, including a statistical analysis of the data and an introduction to some popular interest rate models. Part II is a self-contained introduction to infinite dimensional stochastic analysis, including SDE in Hilbert spaces and Malliavin calculus. Part III presents some recent results in interest rate theory, including finite dimensional realizations of HJM models, generalized bond portfolios, and the ergodicity of HJM models.


Digital
Numerical Methods in Finance : Bordeaux, June 2010
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ISBN: 9783642257469 Year: 2012 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg

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Numerical Methods in Finance
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ISBN: 9783642257469 Year: 2012 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg

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Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.


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Numerical methods in finance : Bordeaux, June 2010
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ISBN: 3642444075 3642257453 9786613711359 3642257461 1280803002 Year: 2012 Publisher: Heidelberg ; New York : Springer,

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Abstract

Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.

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