Handbook of Computational and Numerical Methods in Finance / Edition 1

by George A. Anastassiou, Svetlozar T. Rachev

Overview

Numerical Methods in Finance have recently emerged as a new discipline at the intersection of probability theory, finance and numerical analysis. They bridge the gap between financial theory and computational practice and provide solutions to problems where analytical methods are often non-applicable. Numerical methods are more and more used in several topics of financial analysis: computation of complex derivatives; market, credit and operational risk assess­ ment, asset liability management, optimal portfolio theory, financial econometrics and others. Although numerical methods in finance have been studied intensively in recent years, many theoretical and practical financial aspects have yet to be explored. This volume presents current research focusing on various numerical methods in finance. The contributions cover methodological issues. Genetic Algorithms, Neural Net­ works, Monte-Carlo methods, Finite Difference Methods, Shastic Portfolio Optimization as well as the application of other numerical methods in finance and risk management. As editor, I am grateful to the contributors for their fruitful collaboration. I would particularly like to thankStefan Trueck and Carlo Marinelli for the excellent editorial assistance received over the progress of this project. Thomas Plum did a splendid word-processingjob in preparing the manuscript. lowe much to George Anastassiou (ConsultantEditor, Birkhauser) and Ann Kostant Executive Editor, Mathematics and Physics, Birkhauser for their help and encouragement.

Product Details

ISBN-13:	9780817632199
Publisher:	Birkhäuser Boston
Publication date:	06/29/2004
Edition description:	2004
Pages:	435
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1 Skewness and Kurtosis Trades.- 2 Valuation of a Credit Spread Put Option: The Stable Paretian model with Copulas.- 3 GARCH-Type Processes in Modeling Energy Prices.- 4 Malliavin Calculus in Finance.- 5 Bootstrap Unit Root Tests for Heavy-Tailed Time Series.- 6 Optimal Portfolio Selection and Risk Management: A Comparison between the Stable Paretian Approach and the Gaussian One.- 7 Optimal Quantization Methods and Applications to Numerical Problems in Finance.- 8 Numerical Methods for Stable Modeling in Financial Risk Management.- 9 Modern Heuristics for Finance Problems: A Survey of Selected Methods and Applications.- 10 On Relation Betweeen Expected Regret and Conditional Value-at-Risk.- 11 Estimation, Adjustment and Application of Transition Matrices in Credit Risk Models.- 12 Numerical Analysis of Shastic Differential Systems and its Applications in Finance.- List of Contributors.

Editorial Reviews

"The title of this book my be somewhat misleading— as an edited volume, it contains several papers on some issues in quantitative finance. Most contributions have a computational/numerical slant. It is no surprise that several papers concentrate on heavy-tailed models, in particular Pareto-type models figure prominently. For me, the highlight is the paper by Kohatsu-Higa and Montero on "Malliavan Calculus in Finance". This seventy plus page paper gives a very readable introduction to this imporatnt field of current research. A further enjoyable paper is "Modern Heuirstics for Finance Problems: A Survey of Selected Mehtods and Applications: by Schlottmann and Seese."

—-Publication of the International Statistical Institute

From the Publisher