Haven, Emmanuel and Liu, Xiaoquan and Ma, Chenghu and Shen, Liya (2009) Revealing the implied risk-neutral MGF from options: The wavelet method. Journal of Economic Dynamics and Control, 33 (3). pp. 692-709. DOI https://doi.org/10.1016/j.jedc.2008.09.001
Haven, Emmanuel and Liu, Xiaoquan and Ma, Chenghu and Shen, Liya (2009) Revealing the implied risk-neutral MGF from options: The wavelet method. Journal of Economic Dynamics and Control, 33 (3). pp. 692-709. DOI https://doi.org/10.1016/j.jedc.2008.09.001
Haven, Emmanuel and Liu, Xiaoquan and Ma, Chenghu and Shen, Liya (2009) Revealing the implied risk-neutral MGF from options: The wavelet method. Journal of Economic Dynamics and Control, 33 (3). pp. 692-709. DOI https://doi.org/10.1016/j.jedc.2008.09.001
Abstract
Options are believed to contain unique information on the risk-neutral moment generating function (MGF) or the risk-neutral probability density function (PDF) of the underlying asset. This paper applies the wavelet method to approximate the implied risk-neutral MGF from option prices. Monte Carlo simulations are carried out to show how the risk-neutral MGF can be obtained using the wavelet method. With the Black-Scholes model as the benchmark, we offer a novel method to reveal the implied MGF, and to price in-sample options and forecast out-of-sample option prices with the estimated MGF. © 2008 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Wavelet analysis; Option pricing; Laplace transform |
| Subjects: | H Social Sciences > HB Economic Theory H Social Sciences > HG Finance |
| Divisions: | Faculty of Social Sciences Faculty of Social Sciences > Essex Business School |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 11 Nov 2011 09:55 |
| Last Modified: | 05 Dec 2024 16:41 |
| URI: | http://repository.essex.ac.uk/id/eprint/1285 |