Handbook of Computational and Numerical Methods in Finance

ISBN-13: 9781461264767 / Angielski / Miękka / 2012 / 435 str.

Svetlozar T. Rachev

Opis

The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap between financial theory and computational practice, and provide solutions for complex problems that are difficult to solve by traditional analytical methods. 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 and survey articles focusing on various numerical methods in finance. The book is designed for the academic community and will also serve professional investors.

Recenzje

"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

Spis treści

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.

O autorze

Svetlozar T. Rachev is a Professor in Department of Applied Mathematics and Statistics, SUNY-Stony Brook.

Blurb

The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap between financial theory and computational practice, and provide solutions for complex problems that are difficult to solve by traditional analytical methods. 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 and survey articles focusing on various numerical methods in finance.

Key topics covered include: methodological issues, i.e., genetic algorithms, neural networks, Monte–Carlo methods, finite difference methods, stochastic portfolio optimization, as well as the application of other computational and numerical methods in finance and risk management. The book is designed for the academic community and will also serve professional investors.

Contributors: K. Amir-Atefi; Z. Atakhanova; A. Biglova; O.J. Blaskowitz; D. D’Souza; W.K. Härdle; I. Huber; I. Khindanova; A. Kohatsu-Higa; P. Kokoszka; M. Montero; S. Ortobelli; E. Özturkmen; G. Pagès; A. Parfionovas; H. Pham; J. Printems; S. Rachev; B. Racheva-Jotova; F. Schlottmann; P. Schmidt; D. Seese; S. Stoyanov; C.E. Testuri; S. Trück; S. Uryasev; and Z. Zheng.