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Erschienen in: Review of Quantitative Finance and Accounting 3/2017

27.04.2016 | Original Research

The affine styled-facts price dynamics for the natural gas: evidence from daily returns and option prices

verfasst von: Chih-Chen Hsu, An-Sing Chen, Shih-Kuei Lin, Ting-Fu Chen

Erschienen in: Review of Quantitative Finance and Accounting | Ausgabe 3/2017

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Abstract

This study analyzes affine styled-facts price dynamics of Henry Hub natural gas price by incorporating the price features of jump risk, and seasonality within stochastic volatility framework. Affine styled-facts dynamics has the advantage of being able to incorporate mean reversion (MR), stochastic volatility (SV), seasonality trends (S), and jump diffusion (J) in a standardized inclusive framework. Our main finding is that models that incorporate jumps significantly improve overall out-of-sample option pricing performance. The combined MRSVJS model provides the best fit of both daily gas price returns and the related cross section of option prices. Incorporating seasonal effects tend to provide more stable pricing ability, especially for the long-term option contracts.

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Fußnoten
1
Heston (1993) provides a closed form solution based on SV price dynamics. Bates (1996), Bakshi et al. (1997), Duffie et al. (2000), Eraker (2004), Raul et al. (2004), Cartea and Figueroa (2005), Sepp (2008), extend Heston’s model to incorporate the jump risk in the drift term. Cartea and Figueroa (2005) and Wong and Lo (2009) incorporating mean reversion in underlying of Heston’s model. Cartea and Figueroa (2005), and Back et al. (2013) incorporate the seasonality into Heston’s model.
 
2
If the likelihood value \(L_{j + 1}\) is small or equal than \(L_{j}\) when we perform maximizing process of \(\varOmega_{j + 1}\), then we substitute \(\varOmega_{j + 1}\) by \(\varOmega_{j}\) and to re-perform PF and EM parameter estimation process. The final estimated parameters \(\varOmega_{j}\) and the likelihood values \(L_{j}\) are decided if the value of \(L_{j + 1}\) are all small than \(L_{j}\) for running 10 times.
 
3
These data are calculated by taking the sum of the observations in each of the moneyness categories (OTM, ATM, ITM) divided by the total observations individually.
 
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Metadaten
Titel
The affine styled-facts price dynamics for the natural gas: evidence from daily returns and option prices
verfasst von
Chih-Chen Hsu
An-Sing Chen
Shih-Kuei Lin
Ting-Fu Chen
Publikationsdatum
27.04.2016
Verlag
Springer US
Erschienen in
Review of Quantitative Finance and Accounting / Ausgabe 3/2017
Print ISSN: 0924-865X
Elektronische ISSN: 1573-7179
DOI
https://doi.org/10.1007/s11156-016-0569-x

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