Overview

In this book, the authors investigate structural aspects of no arbitrage pricing of contingent claims and applications of the general pricing theory in the context of incomplete markets. A quasi-closed form pricing equation in terms of artificial probabilities is derived for arbitrary payoff structures. Moreover, a comparison between continuous and discrete models is presented, highlighting the major similarities and key differences. As applications, two sources of market incompleteness are considered, namely stochastic volatility and stochastic liquidity. Firstly, the general theory discussed before is applied to the pricing of power options in a stochastic volatility model. Secondly, the issue of liquidity risk is considered by focusing on the aspect of how asset price dynamics are affected by the trading strategy of a large investor.

Full Product Details

Author:   Angelika Esser
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2004
Volume:   537
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   0.460kg
ISBN:  

9783540208174

ISBN 10:   3540208178
Pages:   122
Publication Date:   23 January 2004
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Motivation and Overview.- 2 Pricing by Change of Measure and Numeraire.- 2.1 Introduction.- 2.2 Model Setup.- 2.3 Equivalent Measures.- 2.4 Derivation of a General Pricing Equation.- 2.5 Is Every Equivalent Measure a Martingale Measure?.- 2.6 Conclusion.- 3 Comparison of Discrete and Continuous Models.- 3.1 Introduction.- 3.2 Dynamics of the Underlying Processes.- 3.3 Model-Specific Change of Measure.- 3.4 Normalized Price Processes.- 3.5 Examples.- 3.6 Conclusion.- 4 Valuation of Power Options.- 4.1 Introduction.- 4.2 General Pricing Equation.- 4.3 Examples.- 4.4 Conclusion.- 5 Modeling Feedback Effects Using Stochastic Liquidity.- 5.1 Introduction.- 5.2 The Liquidity Framework.- 5.3 Examples.- 5.4 Conclusion.- 6 Summary and Outlook.- A Power Options in Stochastic Volatility Models.- A.1 Calculations of the Characteristic Functions.- A.2 Ornstein-Uhlenbeck Process for Volatility.- References.- Abbreviations.- List of Symbols.- List of Figures.- List of Tables.

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