Full Description
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 analy sis: 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, Stochastic Portfolio Opti mization 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.
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 Stochastic Differential Systems and its Applications in Finance.- List of Contributors.
