The Statistical Mechanics of Financial Markets

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Springer Science & Business Media, Jan 27, 2006 - Mathematics - 378 pages
The present third edition of The Statistical Mechanics of Financial Markets is published only four years after the ?rst edition. The success of the book highlights the interest in a summary of the broad research activities on the application of statistical physics to ?nancial markets. I am very grateful to readers and reviewers for their positive reception and comments. Why then prepare a new edition instead of only reprinting and correcting the second edition? The new edition has been signi?cantly expanded, giving it a more pr- tical twist towards banking. The most important extensions are due to my practical experience as a risk manager in the German Savings Banks’ As- ciation (DSGV): Two new chapters on risk management and on the closely related topic of economic and regulatory capital for ?nancial institutions, - spectively, have been added. The chapter on risk management contains both the basics as well as advanced topics, e. g. coherent risk measures, which have not yet reached the statistical physics community interested in ?nancial m- kets. Similarly, it is surprising how little research by academic physicists has appeared on topics relating to Basel II. Basel II is the new capital adequacy framework which will set the standards in risk management in many co- tries for the years to come. Basel II is responsible for many job openings in banks for which physicists are extemely well quali?ed. For these reasons, an outline of Basel II takes a major part of the chapter on capital.
 

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Contents

Introduction
1
Basic Information on Capital Markets
13
Random Walks in Finance and Physics
27
The BlackScholes Theory of Option Prices
51
Scaling in Financial Data and in Physics 101
100
Turbulence and Foreign Exchange Markets
173
Derivative Pricing Beyond BlackScholes
197
Microscopic Market Models
221
Theory of Stock Exchange Crashes 259
258
Risk Management
289
Economic and Regulatory Capital
325
Appendix
359
Notes and References 364
367
Index 375
374
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