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Maturity and volatility effects on UK smiles

Author

Listed:
  • João L. C. Duque

    (Universidade Técnica de Lisboa)

  • Patrícia Teixeira Lopes

    (Universidade do Porto)

Abstract

. The “smile effect” is a result of an empirical observation of the options’ implied volatility with the same expiration date, across different exercise prices. However, its shape has been under discussion seeming to be dependent on the option underlying security. In this paper, and filling up a scarce empirical research on the topic, we used liquid equity options on 9 stocks traded on the London International Financial Futures and Options Exchange (LIFFE) between August 1990 and December 1991. We tested two different hypothesis for testing two different phenomena: (1) the increase of the “smile” as maturity approaches; (2) and the association between the smile and the volatility of the underlying stock. In order to estimate implied volatilities for unavailable exercise prices, we modelled the smile using cubic B-spline curves. We found empirical support for the smile intensification (the U-shape is more pronounced) as maturity approaches as well as when volatility rises. However, we found two major sources of disagreement with the literature on stochastic volatility models. First, as maturity approaches, out-of-the-money options’ implied volatility tends to be higher than the implied volatility of in-the-money options. Second, as the volatility of the underlying asset increases, the implied volatility of in-the-money options tends to be higher than implied volatility of out-of-the-money options.

Suggested Citation

  • João L. C. Duque & Patrícia Teixeira Lopes, 2003. "Maturity and volatility effects on UK smiles," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 2(3), pages 173-193, December.
    • Handle: RePEc:spr:portec:v:2:y:2003:i:3:d:10.1007_s10258-003-0024-5
    DOI: 10.1007/s10258-003-0024-5
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    Citations

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    Cited by:

    1. Robert Tompkins, 2001. "Implied volatility surfaces: uncovering regularities for options on financial futures," The European Journal of Finance, Taylor & Francis Journals, vol. 7(3), pages 198-230.
    2. Amine Bouden, 2008. "The Behavior Of The Implied Volatility Surface: Evidence From Crude Oil Futures Options," World Scientific Book Chapters, in: Mondher Bellalah & Jean-Luc Prigent & Jean-Michel Sahut & Georges Pariente & Olivier Levyne & Michel (ed.), Risk Management And Value Valuation and Asset Pricing, chapter 8, pages 151-175, World Scientific Publishing Co. Pte. Ltd..
    3. Gatfaoui Hayette, 2004. "Idiosyncratic Risk, Systematic Risk and Stochastic Volatility: An Implementation of Merton’s Credit Risk Valuation," Finance 0404004, University Library of Munich, Germany.
    4. José Eduardo Correia & João Duque, 2008. "Dilution and Dividend Effects on the Portuguese Equity Warrants Market," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 0(2), pages 161-192.
    5. Thierry Chauveau & Hayette Gatfaoui, 2004. "Pricing and Hedging Options in Incomplete Markets: Idiosyncratic Risk, Systematic Risk and Stochastic Volatility," Research Paper Series 122, Quantitative Finance Research Centre, University of Technology, Sydney.

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