Mathematical Finance

2001
ISBN: 978-3-7643-6553-0
Verlag: Springer

Buch, Englisch, 374 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1560 g

Reihe: Trends in Mathematics

In the centenary year of the publication of Bachelier's thesis, what today is considered as the foundation of modern finance, we had the opportunity to invite experts in this relatively new field in mathematics to participate in a meeting at the University of Konstanz, Germany. This could be the place to consider the historical development, but as Professor Girlich presented a remarkable lecture on the past of what now is known as mathematical finance, we refer the reader to the article in this volume. Instead w etak e the opportunity to express our thanks to those colleagues who made this workshop possible: to Professor Sondermann, University of Bonn, Ger­ many, who in a sense initiated the idea, to our friends Mark Davis, Robert Elliott, and Xun Yu Zhou, whose advices were extremely helpful in establishing the pro­ gram of the conference, and to the invited lecturers Nicole EI Karoui, Ec khard Platen, and Stan Pliska for carefully preparing their lectures. Also w egratefully appreciate our students' help during the conference and Mrs Weisser's successful efforts in providing our guests with visa and hotel reservations. Last we should mention the students of the business department who organized a great conference dinner on Mainau island and who documented the meeting in a lot of photos. Finally we thank our wives Evi and Jie for giving us leave from home (-v.ork) to organize the conference.

Zielgruppe

Research

Autoren/Hrsg.

Kohlmann, Michael

Shanjian, Tang

Fachgebiete

• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Finanzsektor & Finanzdienstleistungen: Allgemeines
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Bankwirtschaft
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

Note: in the titles of co-authored papers the lecturer’s name is in bold face).- Preface.- Participants.- On-line portfolio strategy with prediction.- Continuous time financial market, transaction cost and transaction intensity.- Demand Heterogeneity and Price Volatility.- Optimal default boundary in a discrete time setting.- An Infinite Factor Model for the Interest Rate Derivatives.- Arbitrage and Pricing with Collateral.- On the existence of optimal controls for a singular stochastic control problem in finance.- A Quadratic Approach To Interest Rates Models In Incomplete Markets.- Risk Sensitive Asset Management: Two Empirical Examples.- Bounded Variation Singular Stochastic Control and Associated Dynkin Game.- Option Pricing and Hedging Under Regular Lévy Processes of Exponential Type.- Installment Options and Static Hedging.- Fractional Brownian Motion and Financial Modelling.- Stochastic Volatility and Epsilon-Martingale Decomposition.- Mutual Debts Compensation as Graph Theory Problem.- First Steps to Stochastic Finance.- Fractional Calculus and Continuous-Time Finance III: the Diffusion Limit.- Passport Options Outside the Black Scholes World.- New Developments in Backward Stochastic Riccati Equations and Their Applications.- Quantile hedging for a jump-diffusion financial market model.- Exponential formula and Girsanov theorem for mixed semilinear stochastic differential equations.- An introduction to optimal consumption with partial observation.- Continuous Time CAPM, Price for Risk and Utility Maximization.- LQ control and mean—variance portfolio selections: The stochastic parameter case.- Liquidity Risk in Energy Markets.- Riccati Equation and Viscosity Solutions in Mean Variance Hedging.- A Minimal Financial Market Model.- A note on equivalentmartingale measures with bounded density.- Local optimality in the multi-dimensional multi-period mean-variance portfolio problem.- Transaction Processes among Autonomous Traders.- The Laplace transform approach to valuing exotic options: the case of the Asian option.- Reversible Real Options.- A Toolbox for Generalized Relative Entropies, EMM and Contingent Claim Valuation.- Incremental Value-at-Risk: traps and misinterpretations.- On option expected returns.