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arXiv · 2310.01104

Multi-period static hedging of European options

Purba Banerjee·Srikanth Iyer·Shashi Jain
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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. 2023-10-02. Multi-period static hedging of European options. https://doi.org/10.21314/jcf.2024.009

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