Multi-period static hedging of European options

Autor:	Banerjee, Purba, Iyer, Srikanth, Jain, Shashi
Rok vydání:	2023
Předmět:	Quantitative Finance - Mathematical Finance Economics - Econometrics Mathematics - Probability Mathematics - Statistics Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 32 pages, 7 figures, 4 sub-figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.01104 Zobrazit plný text záznamu View this record from Arxiv