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  • Textbook
  • © 2015

Statistics of Financial Markets

An Introduction

  • Revised edition presenting actualized research in financial statistics and econometrics
  • Offers an introduction to the growing field of statistical applications in finance
  • Includes option pricing, analysis of financial time series, portfolio selection and risk management
  • Written with an interactive approach using statistical software
  • Allows readers to "learn by doing" by directly applying the methods using statistical software
  • Includes supplementary material: sn.pub/extras

Part of the book series: Universitext (UTX)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xix
  2. Option Pricing

    1. Front Matter

      Pages 1-1
    2. Derivatives

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 3-10
    3. Introduction to Option Management

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 11-35
    4. Basic Concepts of Probability Theory

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 37-47
    5. Stochastic Processes in Discrete Time

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 49-58
    6. Stochastic Integrals and Differential Equations

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 59-74
    7. Black–Scholes Option Pricing Model

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 75-119
    8. Binomial Model for European Options

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 121-131
    9. American Options

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 133-145
    10. Exotic Options

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 147-159
    11. Interest Rates and Interest Rate Derivatives

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 161-196
  3. Statistical Models of Financial Time Series

    1. Front Matter

      Pages 197-197
    2. Introduction: Definitions and Concepts

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 199-235
    3. ARIMA Time Series Models

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 237-261
    4. Time Series with Stochastic Volatility

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 263-316
    5. Long Memory Time Series

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 317-337
    6. Non-parametric and Flexible Time Series Estimators

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 339-356
  4. Selected Financial Applications

    1. Front Matter

      Pages 357-357
    2. Value-at-Risk and Backtesting

      • Jürgen Franke, Wolfgang Karl Härdle, Christian Matthias Hafner
      Pages 359-372

About this book

Now in its fourth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods of evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical finance and financial time series analysis, and on applications to given problems concerning financial markets, thus making the book the ideal basis for lectures, seminars and crash courses on the topic.

For this new edition the book has been updated and extensively revised and now includes several new aspects, e.g. new chapters on long memory models, copulae and CDO valuation. Practical exercises with solutions have also been added. Both R and Matlab Code, together with the data, can be downloaded from the book’s product page and www.quantlet.de

Reviews

“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

Authors and Affiliations

  • TU Kaiserslautern FB Mathematik, Kaiserslautern, Germany

    Jürgen Franke

  • Ladislaus von Bortkiewicz Chair of Statistics, C.A.S.E. Centre for Applied Statistics and Economics, School of Business and Economics, Humboldt-Universität zu Berlin, Berlin, Germany and Sim Kee Boon Institute for Financial Economics, Singapore Management University, Singapore, Berlin, Germany

    Wolfgang Karl Härdle

  • Université Catholique de Louvain Inst. Statistique, Leuven-la-Neuve, Belgium

    Christian Matthias Hafner

About the authors

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access