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Common Functional Implied Volatility Analysis

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Author Info
Michal Benko
Wolfgang Härdle

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Abstract

Trading, hedging and risk analysis of complex option portfolios depend on accurate pricing models. The modelling of implied volatilities (IV) plays an important role, since volatility is the crucial parameter in the Black-Scholes (BS) pricing formula. It is well known from empirical studies that the volatilities implied by observed market prices exhibit patterns known as volatility smiles or smirks that contradict the assumption of constant volatility in the BS pricing model. On the other hand, the IV is a function of two parameters: the strike price and the time to maturity and it is desirable in practice to reduce the dimension of this object and characterize the IV surface through a small number of factors. Clearly, a dimension reduced pricing-model that should reflect the dynamics of the IV surface needs to contain factors and factor loadings that characterize the IV surface itself and their movements across time.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2005-012.pdf
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Publisher Info
Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2005-012.

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Length: 22 pages
Date of creation: Mar 2005
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Handle: RePEc:hum:wpaper:sfb649dp2005-012

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Related research
Keywords: implied volatility Black-Scholes option portfolio pricing

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
G19 - Financial Economics - - General Financial Markets - - - Other

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Szymon Borak & Kai Detlefsen & Wolfgang Härdle, 2005. "FFT Based Option Pricing," SFB 649 Discussion Papers SFB649DP2005-011, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  2. Enzo Giacomini & Wolfgang Härdle, 2005. "Value-at-Risk Calculations with Time Varying Copulae," SFB 649 Discussion Papers SFB649DP2005-004, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  3. Dirk Krueger & Harald Uhlig, 2005. "Competitive Risk Sharing Contracts with One-Sided Commitment," CFS Working Paper Series 2005/07, Center for Financial Studies. [Downloadable!]
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  4. Szymon Borak & Wolfgang Härdle & Rafal Weron, 2005. "Stable Distributions," SFB 649 Discussion Papers SFB649DP2005-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Cizek, P. & Tamine, J. & Haerdle, W., 2006. "Smoothed L-estimation of regression function," Discussion Paper 20, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Ajit Ghose, 2005. "Employment in China: Recent trends and future challenges," Employment strategy papers 2005-14, International Labour Office. [Downloadable!]
  3. María Echart, 2003. "Educación universitaria Aportes para el debate acerca de su efectividad y equidad," Working Papers 79, FIEL. [Downloadable!]
  4. Francesco Daveri & Cecilia Jona-Lasinio, . "Italy’s Decline: Getting the Facts Right," Working Papers 301, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
    Other versions:
  5. Szymon Borak & Matthias Fengler & Wolfgang Härdle, 2005. "DSFM fitting of Implied Volatility Surfaces," SFB 649 Discussion Papers SFB649DP2005-022, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  6. Ying Chen & Wolfgang Härdle & Vladimir Spokoiny, 2005. "Portfolio Value at Risk Based on Independent Components Analysis," SFB 649 Discussion Papers SFB649DP2005-060, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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