Universitext / Statistics of Financial Markets

Part I Option Pricing: Derivatives.- Introduction to Option Management.- Basic Concepts of Probability Theory.- Stochastic Processes in Discrete Time.- Stochastic Integrals and Differential Equations.- Black-Scholes Option Pricing Model.- Binomial Model for European Options.- American Options.- Exotic Options.- Interest Rates and Interest Rate Derivatives.- Part II Statistical Models of Financial Time Series: Introduction - Definitions and Concepts.- ARIMA Time Series Models.- Time Series with Stochastic Volatility.- Long Memory Time Series.- Non-Parametric and Flexible Time Series Estimators.- Part III Selected Financial Applications: Copulae and Value at Risk.- Statistics of Extreme Risks.- Neural Networks.- Volatility Risk of Option Portfolios.- Nonparametric Estimators for the Probability of Default.- Credit Risk Management and Credit Derivatives.- Appendix: Integration Theory.- Portfolio Strategies.

Jürgen Franke is a professor of applied mathematical statistics at the University of Kaiserslautern, member of the graduate school 'Mathematics as a Key Technologÿ' and since 2000 he has been an advisor to the Financial Mathematics Group of the Fraunhofer Institute for Industrial Mathematics, Kaiserslautern. His research focuses on nonlinear time series and nonparametric statistics with applications in financial time series and risk analysis.

Wolfgang Karl Härdle is the Ladislaus von Bortkievicz Professor of Statistics at the Humboldt-Universität zu Berlin and director of C.A.S.E. - the Centre for Applied Statistics and Economics and director of the CRC649 "Economic Risk" and also oft the IRTG 1792 "highdimensional nonstationary time series". He teaches quantitative finance and semiparametric statistical methods. His research focuses on dynamic factor models, multivariate statistics in finance and computational statistics. He is an elected ISI member and advisor to the Guanghua School of Management, Peking University.



Christian Matthias Hafner is a professor of econometrics at the Université Catholique de Louvain and President of the Louvain School of Statistics, Biostatistics and Actuarial Sciences (LSBA). His work is mainly concerned with applied non- and semiparametric statistics, time series analysis, volatility models, and financial econometrics.

"This book provides an excellent introduction to the tools from probability and statistics necessary to analyze financial data. Clearly written and accessible, it will be very useful to students and practitioners alike"

Yacine Aït-Sahalia, Otto Hack 1903 Professor of Finance and Economics, Princeton University