Volatility Risk of Option Portfolios

  • Jürgen Franke
  • Wolfgang Karl Härdle
  • Christian Matthias Hafner
Part of the Universitext book series (UTX)


In this chapter we analyse the principal factors in the dynamic structure of implied volatility at the money (ATM).


  1. Cizek, P., Härdle, W., & Weron, R. (2011). Statistical tools in finance and insurance, 2nd edition. Berlin: Springer.CrossRefGoogle Scholar
  2. Fengler, M., Härdle, W., & Schmidt, P. (2002). An empirical analysis of the common factors governing implied volatility movements measured by the German VDAX. Financial Markets and Portfolio Management, 16, 16–29.CrossRefGoogle Scholar
  3. Härdle, W., & Hafner, C. (2000). Discrete time option pricing with flexible volatility estimation. Finance and Stochastics, 4, 189–207.MathSciNetCrossRefGoogle Scholar
  4. Härdle, W., & Simar, L. (2012). Applied multivariate statistical analysis, 3rd edn. Heidelberg: Springer-Verlag.CrossRefGoogle Scholar
  5. Redelberger, T. (1994). Grundlagen und Konstruktion des VDAX-Volatilitätsindex der Deutsche Börse AG. Deutsche Börse AG.Google Scholar
  6. Schönbucher, P. (1999). A market model for stochastic implied volatility. Phil. Trans. Royal Soc. Series A, (357), 2071–2092.MathSciNetCrossRefGoogle Scholar
  7. Skiadopoulos, G., Hodges, S., & Clewlow, L. (1998). The dynamics of implied volatility surfaces, Working Paper, Financial Options Research Centre, Warwick Business School University of Warwick, Coventry.zbMATHGoogle Scholar
  8. Studer, G. (1995). Value at risk and maximum loss optimization, Discussion Paper, ETHZ, RiskLab: Technical Report.Google Scholar
  9. Taleb, N. (1997). Dynamic hedging: Managing vanilla and exotic options. New York: John Wiley & Sons.Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jürgen Franke
    • 1
  • Wolfgang Karl Härdle
    • 2
  • Christian Matthias Hafner
    • 3
  1. 1.Department of MathematicsTechnische Universität KaiserslauternKaiserslauternGermany
  2. 2.Ladislaus von Bortkiewicz Chair of StatisticsHumboldt-Universität BerlinBerlinGermany
  3. 3.Louvain Institute of Data Analysis and Modeling in Economics and StatisticsUCLouvainLouvain-la-NeuveBelgium

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