Advances in Mathematical Finance (eBook)

Michael C. Fu, Robert A. Jarrow, Ju-Yi Yen, Robert J Elliott (Herausgeber)

eBook Download: PDF

2007
XXVIII, 336 Seiten
Birkhäuser Boston (Verlag)
9780817645458 (ISBN)

Infos

This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

 

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This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the fields of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the Festschrift is dedicated to Dilip B. Madan on the occasion of his 60th birthday.Specific topics covered include:* Theory and application of the Variance-Gamma process* Levy process driven fixed-income and credit-risk models, including CDO pricing* Numerical PDE and Monte Carlo methods* Asset pricing and derivatives valuation and hedging* Ito formulas for fractional Brownian motion* Martingale characterization of asset price bubbles* Utility valuation for credit derivatives and portfolio managementAdvances in Mathematical Finance is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financialengineering.Contributors: H. Albrecher, D. C. Brody, P. Carr, E. Eberlein, R. J. Elliott, M. C. Fu, H. Geman, M. Heidari, A. Hirsa, L. P. Hughston, R. A. Jarrow, X. Jin, W. Kluge, S. A. Ladoucette, A. Macrina, D. B. Madan, F. Milne, M. Musiela, P. Protter, W. Schoutens, E. Seneta, K. Shimbo, R. Sircar, J. van der Hoek, M.Yor, T. Zariphopoulou

Inhalt

ANHA Series Preface Preface Career Highlights and List of Publications / Dilip B. Madan Part I. Variance-Gamma and Related Stochastic Processes The Early Years of the Variance-Gamma Process / Eugene Seneta Variance-Gamma and Monte Carlo / Michael C. Fu Some Remarkable Properties of Gamma Processes / Marc Yor A Note About Selberg's Integrals in Relation with the Beta-Gamma Algebra / Marc Yor Itô Formulas for Fractional Brownian Motion / Robert J. Elliott and John van der Hoek Part II. Asset and Option Pricing A Tutorial on Zero Volatility and Option Adjusted Spreads / Robert A. Jarrow Asset Price Bubbles in Complete Markets / Robert A. Jarrow, Philip Protter, and Kazuhiro Shimbo Taxation and Transaction Costs in a General Equilibrium Asset Economy / Xing Jin and Frank Milne Calibration of Lévy Term Structure Models / Ernst Eberlein and Wolfgang Kluge Pricing of Swaptions in Affine Term Structures with Stochastic Volatility / Massoud Heidari, Ali Hirsa, and Dilip B. Madan Forward Evolution Equations for Knock-Out Options / Peter Carr and Ali Hirsa Mean Reversion Versus Random Walk in Oil and Natural Gas Prices / Hélyette Geman Part III. Credit Risk and Investments Beyond Hazard Rates: A New Framework for Credit-Risk Modelling / Dorje C. Brody, Lane P. Hughston, and Andrea Macrina A Generic One-Factor Lévy Model for Pricing Synthetic CDOs / Hansjörg Albrecher, Sophie A. Ladoucette, and Wim Schoutens Utility Valuation of Credit Derivatives: Single and Two-Name Cases / Ronnie Sircar and Thaleia Zariphopoulou Investment and Valuation Under Backward and Forward Dynamic Exponential Utilities in a Stochastic Factor Model / Marek Musiela and Thaleia Zariphopoulou

Produkt-Details

• Erscheint lt. Verlag: 22.6.2007
• Reihe/Serie: Applied and Numerical Harmonic Analysis
• Reihe/Serie: Applied and Numerical Harmonic Analysis
• Zusatzinfo: XXVIII, 336 p.
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Recht / Steuern ► Wirtschaftsrecht
• Themenwelt: Technik
• Themenwelt: Wirtschaft ► Allgemeines / Lexika
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Finanzierung
• Themenwelt: Betriebswirtschaft / Management ► Spezielle Betriebswirtschaftslehre ► Versicherungsbetriebslehre
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
• Themenwelt: Wirtschaft ► Volkswirtschaftslehre
• Schlagworte: CDO pricing • credit risk model • fixed income models • Fractional Brownian motion • Lévy process • Modeling • multi-period financial market • option adjusted spreads • Quantitative Finance • smooth fit principle • Stochastic Processes • tax arbitrage and equilibrium • tax rebates • zero volatility spreads
• ISBN-13: 9780817645458 / 9780817645458