Market Expectations and Option Prices

Market Expectations and Option Prices

Author: Martin Mandler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 227

ISBN-13: 3642574289

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This book is a slightly revised version of my doctoral dissertation which has been accepted by the Department of Economics and Business Administration of the Justus-Liebig-Universitat Giessen in July 2002. I am indebted to my advisor Prof. Dr. Volbert Alexander for encouraging and supporting my research. I am also grateful to the second member of the doctoral committee, Prof. Dr. Horst Rinne. Special thanks go to Dr. Ralf Ahrens for providing part of the data and to my colleague Carsten Lang, who spent much time reading the complete first draft. Wetzlar, January 2003 Martin Mandler Contents 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I Theoretical Foundations 2 Arbitrage Pricing and Risk-Neutral Probabilities........ .. 7 2.1 Arbitrage Pricing in the Black/Scholes-Merton Model... . . .. . 7 2.2 The Equivalent Martingale Measure and Risk-Neutral Valuation ............................................... 11 2.3 Extracting Risk-Neutral Probabilities from Option Prices. . . .. 13 2.4 Summary............................................... 15 Appendix 2A: The Valuation Function in the Black/Scholes-Merton Model .................................................. 16 Appendix 2B: Some Further Details on the Replication Strategy ... 21 3 Survey of the Related Literature .......................... 23 3.1 The Information Content of Forward and Futures Prices. . . .. . 24 3.2 The Information Content of Implied Volatilities ............. 25 3.2.1 Implied Volatilities and the Risk-Neutral Probability Density .......................................... 27 3.2.2 The Term Structure of Implied Volatilities. . . . . . . .. . . 29 . 3.2.3 The Forecasting Information in Implied Volatilities. . .. 30 3.2.4 Implied Correlations as Forecasts of Future Correlations 43 VIII Contents 3.3 The Skewness Premium ..... . . . . . . . . . . . . . . . . . . .. . . 45 . . . . . . .


Introduction to Mathematical Finance

Introduction to Mathematical Finance

Author: David C. Heath Glen Swindle

Publisher: American Mathematical Soc.

Published: 2000-01-25

Total Pages: 184

ISBN-13: 9780821867624

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The foundation for the subject of mathematical finance was laid nearly 100 years ago by Bachelier in his fundamental work, Theorie de la speculation. In this work, he provided the first treatment of Brownian motion. Since then, the research of Markowitz, and then of Black, Merton, Scholes, and Samuelson brought remarkable and important strides in the field. A few years later, Harrison and Kreps demonstrated the fundamental role of martingales and stochastic analysis in constructing and understanding models for financial markets. The connection opened the door for a flood of mathematical developments and growth. Concurrently with these mathematical advances, markets have grown, and developments in both academia and industry continue to expand. This lively activity inspired an AMS Short Course at the Joint Mathematics Meetings in San Diego (CA). The present volume includes the written results of that course. Articles are featured by an impressive list of recognized researchers and practitioners. Their contributions present deep results, pose challenging questions, and suggest directions for future research. This collection offers compelling introductory articles on this new, exciting, and rapidly growing field.


Probability Theory and Applications

Probability Theory and Applications

Author: Elton P. Hsu

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 386

ISBN-13: 0821805908

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This volume, with contributions by leading experts in the field, is a collection of lecture notes of the six minicourses given at the IAS/Park City Summer Mathematics Institute. It introduces advanced graduates and researchers in probability theory to several of the currently active research areas in the field. Each course is self-contained with references and contains basic materials and recent results. Topics include interacting particle systems, percolation theory, analysis on path and loop spaces, and mathematical finance. The volume gives a balanced overview of the current status of probability theory. An extensive bibliography for further study and research is included. This unique collection presents several important areas of current research and a valuable survey reflecting the diversity of the field.


World Economic Outlook, April 2012

World Economic Outlook, April 2012

Author: International Monetary Fund. Research Dept.

Publisher: International Monetary Fund

Published: 2012-04-17

Total Pages: 299

ISBN-13: 1616352469

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The April 2012 issue of the World Economic Outlook assesses the prospects for the global economy, which has gradually strengthened after a major setback during 2011. The threat of a sharp global slowdown eased with improved activity in the United States and better policies in the euro area. Weak recovery will likely resume in the major advanced economies, and activity will remain relatively solid in most emerging and developing economies. However, recent improvements are very fragile. Policymakers must calibrate policies to support growth in the near term and must implement fundamental changes to achieve healthy growth in the medium term. Chapter 3 examines how policies directed at real estate markets can accelerate the improvement of household balance sheets and thus support otherwise anemic consumption. Chapter 4 examines how swings in commodity prices affect commodity-exporting economies, many of which have experienced a decade of good growth. With commodity prices unlikely to continue growing at the recent elevated pace, however, these economies may have to adapt their fiscal and other policies to lower potential output growth in the future.


Currency Derivatives

Currency Derivatives

Author: David F. DeRosa

Publisher: John Wiley & Sons

Published: 1998-09-07

Total Pages: 414

ISBN-13: 9780471252672

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Mit über einer Billion US Dollar Umsatz stellt der Devisenhandel weltweit den größten Markt dar. In diesem Markt sind Währungsderivate zu einem bevorzugten Handelsinstrument geworden, das von Großbanken, Brokerhäusern, Hedge Funds (spekulativ ausgerichteter Fonds, der mit Hilfe von Derivaten seine Gewinne zu optimieren versucht) und Handelsberatern eingesetzt wird. Zwar sind diese Instrumente heute komplexer denn je, aber sie sind ein unverzichtbares Mittel des Risikomanagements im Devisenhandel. Herausgegeben von führenden Devisenhändlern und Analysten, ist dieses Buch Basislektüre für jeden, der sich in diesem Bereich bewegt. Eine Sammlung der 20 besten und meist zitierten Beiträge zu Währungsderivaten, Preistheorie und Anwendungen von Hedging-Methoden (10/98)