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Nonparametric option pricing with no-arbitrage constraints

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  • Birke, Melanie
  • Pilz, Kay F.

Abstract

We propose a completely kernel based method of estimating the call price function or the state price density of options. The new estimator of the call price function fulfills the constraints like monotonicity and convexity given in Breeden and Litzenberger (1978) without necessarily estimating the state price density for an underlying asset price from its option prices. It can be shown that the estimator is pointwise consistent and asymptotically normal. In a simulation study we compare the new estimator to the unconstrained kernel estimator and to the estimator given in Aït-Sahalia and Duarte (2003).

Suggested Citation

  • Birke, Melanie & Pilz, Kay F., 2007. "Nonparametric option pricing with no-arbitrage constraints," Technical Reports 2007,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200730
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    References listed on IDEAS

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