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Book
Introduction à la mathématique financière.
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ISBN: 2804110079 9782804110079 Year: 1987 Volume: vol *55 Publisher: Bruxelles De Boeck-Wesmael

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Book
Matematica finanziaria per l'Ingegneria civile e per l'Architettura
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ISBN: 9788883033773 Year: 2012 Publisher: Trieste : Edizioni Univerisità di Trieste,

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Book
Une arithmétique commerciale du XVe siècle : le "compendy de la praticque des nombres" de Barthélemy de Romans
Authors: ---
ISBN: 2503511961 Year: 2003 Volume: 70 (n.s. 33) Publisher: Turnhout : Brepols,

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Book
Stochastic Analysis for Finance with Simulations
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ISBN: 3319255878 3319255894 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. Also included are simulations of stochastic phenomena, numerical solutions of the Black–Scholes–Merton equation, Monte Carlo methods, and time series. Basic measure theory is used as a tool to describe probabilistic phenomena. The level of familiarity with computer programming is kept to a minimum. To make the book accessible to a wider audience, some background mathematical facts are included in the first part of the book and also in the appendices. This work attempts to bridge the gap between mathematics and finance by using diagrams, graphs and simulations in addition to rigorous theoretical exposition. Simulations are not only used as the computational method in quantitative finance, but they can also facilitate an intuitive and deeper understanding of theoretical concepts. Stochastic Analysis for Finance with Simulations is designed for readers who want to have a deeper understanding of the delicate theory of quantitative finance by doing computer simulations in addition to theoretical study. It will particularly appeal to advanced undergraduate and graduate students in mathematics and business, but not excluding practitioners in finance industry. .

A course in financial calculus
Author:
ISBN: 0521890772 0521813859 1107133440 1107385687 0511337256 0511336608 0511561652 0511647956 0511810105 128238922X 0511643055 9780511647956 9780511337253 9780511252990 0511252994 9780511810107 9781282389229 9780521813853 9780521890779 9781107133440 9781107385689 9780511336607 9780511561658 9780511643057 Year: 2006 Publisher: Cambridge Cambridge University Press

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Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.


Book
Problèmes corrigés et commentés de mathématique financière
Authors: --- ---
ISBN: 2200210612 2200210620 Year: 1989 Publisher: Paris Colin

Fundamentals of actuarial mathematics.
Author:
ISBN: 9780470016893 0470016892 Year: 2006 Publisher: Chichester Wiley

Mathematics for economics and business : an interactive introduction
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ISBN: 9781405111270 9781405111263 1405111275 1405111267 Year: 2004 Publisher: Malden Blackwell


Book
Probability for finance
Authors: --- ---
ISBN: 9780521175579 9781107002494 0521175577 1107002494 9781139035026 1139035029 1107702437 Year: 2014 Publisher: Cambridge Cambridge University Press

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Students and instructors alike will benefit from this rigorous, unfussy text, which keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence and conditioning. Assuming only some calculus and linear algebra, the text develops key results of measure and integration, which are applied to probability spaces and random variables, culminating in central limit theory. Consequently it provides essential prerequisites to graduate-level study of modern finance and, more generally, to the study of stochastic processes. Results are proved carefully and the key concepts are motivated by concrete examples drawn from financial market models. Students can test their understanding through the large number of exercises and worked examples that are integral to the text.

Paris-Princeton lectures on mathematical Finance 2004
Authors: ---
ISBN: 9783540733263 3540733264 3540733272 Year: 2007 Publisher: Berlin ; Heidelberg : Springer,

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The Paris-Princeton Lectures in Financial Mathematics, of which this is the third volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Hyuên Pham.

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