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Simulated testing of nonparametric measure changes for hedging European options

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  • Smith, Godfrey

Abstract

We test the accuracy and hedging performance of the deltas given by a range of nonparametric measure changes. The nonparametric models accurately estimate deltas across a number of asset price dynamics. The optimal nonparametric measure change displays superior estimation bias, which depends on how the models capture the stylised features of the dynamics, moneyness, and time-to-expiry. Differences in estimation error appear negligible. The optimal measure change produces superior static hedging outcomes compared to the Black–Scholes model. Differences in dynamic hedging outcomes are negligible.

Suggested Citation

  • Smith, Godfrey, 2013. "Simulated testing of nonparametric measure changes for hedging European options," Finance Research Letters, Elsevier, vol. 10(2), pages 93-101.
    • Handle: RePEc:eee:finlet:v:10:y:2013:i:2:p:93-101
    DOI: 10.1016/j.frl.2012.11.002
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    References listed on IDEAS

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    1. Alcock, Jamie & Gray, Philip, 2005. "Dynamic, nonparametric hedging of European style contingent claims using canonical valuation," Finance Research Letters, Elsevier, vol. 2(1), pages 41-50, March.
    2. Jamie Alcock & Godfrey Smith, 2014. "Testing Alternative Measure Changes in Nonparametric Pricing and Hedging of European Options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(4), pages 320-345, April.
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    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    6. M. Ryan Haley & Todd B. Walker, 2010. "Alternative tilts for nonparametric option pricing," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(10), pages 983-1006, October.
    7. Stutzer, Michael, 1996. "A Simple Nonparametric Approach to Derivative Security Valuation," Journal of Finance, American Finance Association, vol. 51(5), pages 1633-1652, December.
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    Cited by:

    1. Jamie Alcock & Godfrey Smith, 2017. "Non-parametric American option valuation using Cressie–Read divergences," Australian Journal of Management, Australian School of Business, vol. 42(2), pages 252-275, May.

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    More about this item

    Keywords

    Nonparametric; Canonical option pricing; Delta hedging; Greeks;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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