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Robust hedging performance and volatility risk in option markets: Application to Standard and Poor's 500 and Taiwan index options

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  • Han, Chuan-Hsiang
  • Chang, Chien-Hung
  • Kuo, Chii-Shyan
  • Yu, Shih-Ti

Abstract

We investigate daily robust hedging performance with trading costs for markets of Standard and Poor's (S&P) 500 Index options (SPX) and Taiwan index options (TXO). In addition, we conduct a theoretical analysis to cope with the price limit constraint in TXO. Robust hedging refers to minimal model dependence on a risky asset price. Two hedging categories, including “Model-Free” and “Volatility-Model-Free,” are investigated, and nonparametric methods for volatility estimation are considered in our empirical study. In particular, instantaneous volatility is estimated by a proposed nonlinear correction scheme of the Fourier transform method (Malliavin & Mancino, 2009), justified by a simulation study for a local volatility model. We found an asymmetric phenomenon in hedging performance. Hedging portfolios constructed from the “Volatility-Model-Free” category were found to induce much higher Sharpe ratios than those from the “Model-Free” category on SPX, while they were found to perform comparably on TXO. Motivated from the price limit regulation in Taiwan, we further develop a time-scale change method to explain this phenomenon. Asymptotic moment estimates of differences in some hedging portfolios are consistent with our empirical findings.

Suggested Citation

  • Han, Chuan-Hsiang & Chang, Chien-Hung & Kuo, Chii-Shyan & Yu, Shih-Ti, 2015. "Robust hedging performance and volatility risk in option markets: Application to Standard and Poor's 500 and Taiwan index options," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 160-173.
    • Handle: RePEc:eee:reveco:v:40:y:2015:i:c:p:160-173
    DOI: 10.1016/j.iref.2015.02.009
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    Cited by:

    1. Hammoudeh, Shawkat & McAleer, Michael, 2015. "Advances in financial risk management and economic policy uncertainty: An overview," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 1-7.
    2. Fengmin Xu & Jieao Ma, 2023. "Intelligent option portfolio model with perspective of shadow price and risk-free profit," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-28, December.

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    More about this item

    Keywords

    Option hedging strategies; Volatility estimation; Fourier transform method; Moment estimation;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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