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Arbitrage-free implied volatility surfaces for options on single stock futures

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  • Kotzé, Antonie
  • Labuschagne, Coenraad C.A.
  • Nair, Merell L.
  • Padayachi, Nadine

Abstract

The current method employed by the Johannesburg Stock Exchange11www.jse.co.za. (JSE) to determine implied volatility is based on trade data and a linear deterministic approach. The aim of this paper is to construct a market-related arbitrage-free implied volatility surface, by using a quadratic deterministic function, for two stock indices and ten single stock futures (SSFs). Actual traded data is used and we show practically how all no-arbitrage conditions are implemented and tested.

Suggested Citation

  • Kotzé, Antonie & Labuschagne, Coenraad C.A. & Nair, Merell L. & Padayachi, Nadine, 2013. "Arbitrage-free implied volatility surfaces for options on single stock futures," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 380-399.
    • Handle: RePEc:eee:ecofin:v:26:y:2013:i:c:p:380-399
    DOI: 10.1016/j.najef.2013.02.012
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    References listed on IDEAS

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    Cited by:

    1. Wang, Ximei & Zhao, Yanlong & Bao, Ying, 2019. "Arbitrage-free conditions for implied volatility surface by Delta," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 819-834.
    2. Chia-Lin Chang & Allen, David & McAleer, Michael, 2013. "Recent developments in financial economics and econometrics: An overview," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 217-226.
    3. Atilgan, Yigit & Demirtas, K. Ozgur & Simsek, Koray D., 2016. "Derivative markets in emerging economies: A survey," International Review of Economics & Finance, Elsevier, vol. 42(C), pages 88-102.
    4. Liu, Qiang & Guo, Shuxin, 2014. "Variance-constrained canonical least-squares Monte Carlo: An accurate method for pricing American options," The North American Journal of Economics and Finance, Elsevier, vol. 28(C), pages 77-89.
    5. Yu, Xisheng & Xie, Xiaoke, 2015. "Pricing American options: RNMs-constrained entropic least-squares approach," The North American Journal of Economics and Finance, Elsevier, vol. 31(C), pages 155-173.
    6. Antonie Kotzé & Rudolf Oosthuizen & Edson Pindza, 2015. "Implied and Local Volatility Surfaces for South African Index and Foreign Exchange Options," JRFM, MDPI, vol. 8(1), pages 1-40, January.
    7. Itkin, Andrey, 2015. "To sigmoid-based functional description of the volatility smile," The North American Journal of Economics and Finance, Elsevier, vol. 31(C), pages 264-291.

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    More about this item

    Keywords

    Volatility surface; Options on single stock futures; Quadratic deterministic function;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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