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On Smile and Skewness

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Author Info
Platen, Eckhard
Martin Schweizer

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Abstract

This paper proposes a new explanation for the smile and skewness effects in implied volatilities. Starting from a microeconomic equilibrium approach, we develop a diffusion model for stock prices explicitly incorporating the technical demand induced by hedging strategies. This leads to a stochastic volatility endogenously determined by agents' trading behaviour. Using numerical methods for stochastic differential equations, we quantitatively substantiate the idea that option price distortions can be induced by feedback effects from hedging strategies.

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Publisher Info
Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 302.

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Length: pages
Date of creation: Dec 1994
Date of revision:
Handle: RePEc:bon:bonsfb:302

Contact details of provider:
Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=517

For technical questions regarding this item, or to correct its listing, contact: (Daniel Park).

Related research
Keywords: option pricing; Black-Scholes formula; implied volatility; smile; skewness; stochastic volatility; feedback effects;

Find related papers by JEL classification:
G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

Cited by:
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  1. Terry Marsh & Takao Kobayashi, 2001. "The Contributions of Professors Fischer Black, Robert Merton, and Myron Scholes to the Financial Services Industry," CIRJE F-Series CIRJE-F-120, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  2. Mattias Jonsson & Jussi Keppo, 2002. "Option pricing for large agents," Applied Mathematical Finance, Taylor and Francis Journals, vol. 9(4), pages 261-272, December. [Downloadable!] (restricted)
  3. Frey, Rüdiger, 1996. "The Pricing and Hedging of Options in Finitely Elastic Markets," Discussion Paper Serie B 372, University of Bonn, Germany. [Downloadable!]
  4. Marsh, Terry A. & Takao Kobayashi, 1998. ""The Work of Fischer Black, Robert Merton, and Myron Scholes, and its Continuing Legacy"," CIRJE F-Series 98-F-4, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  5. Frey, Rüdiger & Alexander Stremme, 1995. "Market Volatility and Feedback Effects from Dynamic Hedging," Discussion Paper Serie B 310, University of Bonn, Germany. [Downloadable!]
  6. E. Agliardi & R. Andergassen, 2002. "Feedback effects of dynamic hedging strategies in the presence of transaction costs," Working Papers 445, Dipartimento Scienze Economiche, Universita' di Bologna. [Downloadable!]
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