Maximum penalized quasi-likelihood estimation of the diffusion function

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Date Issued
2011-01-01
Publisher Version
10.1080/14697688.2011.615212
Author(s)
Hamrick, Jeff
Huang, Yifei
Kardaras, Constantinos
Taqqu, Murad S.
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Permanent Link
https://hdl.handle.net/2144/37419
Version
Accepted manuscript
Citation (published version)
Jeff Hamrick, Yifei Huang, Constantinos Kardaras, Murad S Taqqu. 2011. "Maximum penalized quasi-likelihood estimation of the diffusion function." QUANTITATIVE FINANCE, Volume 11, Issue 11, pp. 1675 - 1684 (10). https://doi.org/10.1080/14697688.2011.615212
Abstract
We develop a maximum penalized quasi-likelihood estimator for estimating in a non-parametric way the diffusion function of a diffusion process, as an alternative to more traditional kernel-based estimators. After developing a numerical scheme for computing the maximizer of the penalized maximum quasi-likelihood function, we study the asymptotic properties of our estimator by way of simulation. Under the assumption that overnight London Interbank Offered Rates (LIBOR), the USD/EUR, USD/GBP, JPY/USD, and EUR/USD nominal exchange rates, and the 1-month, 3-month Treasury bill yields, and 30-year Treasury bond yields are generated by diffusion processes, we use our numerical scheme to estimate the diffusion function.
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