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Multi-period static hedging of European options

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  • Purba Banerjee
  • Srikanth Iyer
  • Shashi Jain

Abstract

We consider the hedging of European options when the price of the underlying asset follows a single-factor Markovian framework. By working in such a setting, Carr and Wu \cite{carr2014static} derived a spanning relation between a given option and a continuum of shorter-term options written on the same asset. In this paper, we have extended their approach to simultaneously include options over multiple short maturities. We then show a practical implementation of this with a finite set of shorter-term options to determine the hedging error using a Gaussian Quadrature method. We perform a wide range of experiments for both the \textit{Black-Scholes} and \textit{Merton Jump Diffusion} models, illustrating the comparative performance of the two methods.

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  • Purba Banerjee & Srikanth Iyer & Shashi Jain, 2023. "Multi-period static hedging of European options," Papers 2310.01104, arXiv.org, revised Oct 2023.
    • Handle: RePEc:arx:papers:2310.01104
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    References listed on IDEAS

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