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Wavelet-based option pricing: An empirical study

Xiaoquan Liu, Yi Cao, Chenghu Ma and Liya Shen

European Journal of Operational Research, 2019, vol. 272, issue 3, 1132-1142

Abstract: In this paper, we scrutinize the empirical performance of a wavelet-based option pricing model which leverages the powerful computational capability of wavelets in approximating risk-neutral moment-generating functions. We focus on the forecasting and hedging performance of the model in comparison with that of popular alternative models, including the stochastic volatility model with jumps, the practitioner Black–Scholes model and the neural network based model. Using daily index options written on the German DAX 30 index from January 2009 to December 2012, our results suggest that the wavelet-based model compares favorably with all other models except the neural network based one, especially for long-term options. Hence our novel wavelet-based option pricing model provides an excellent nonparametric alternative for valuing option prices.

Keywords: Pricing; Option valuation; Artificial neural networks; Stochastic volatility; Jump risk (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:272:y:2019:i:3:p:1132-1142

DOI: 10.1016/j.ejor.2018.07.025

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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