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P. J. Brockwell and T. Marquardt, “Lévy-Driven and Fractionally Integrated ARMA Processes with Continuous Time Parameter,” Statistica Sinica, Vol. 15, No. 2, 2005, pp. 477-494.

has been cited by the following article:

• TITLE: Weather Derivatives with Applications to Canadian Data

  AUTHORS: Anatoliy Swishchuk, Kaijie Cui

  KEYWORDS: Weather Derivatives; Mean-Reverting Process; Lévy Process; Continuous Autoregressive Model; Fast Fourier Transform

  JOURNAL NAME: Journal of Mathematical Finance, Vol.3 No.1, February 26, 2013

  ABSTRACT: We applied two daily average temperature models to Canadian cities data and derived their derivative pricing applications. The first model is characterized by mean-reverting Ornstein-Uhlenbeck process driven by general Lévy process with seasonal mean and volatility. As an extension to the first model, Continuous Autoregressive (CAR) model driven by Lévy process is also considered and calibrated to Canadian data. It is empirically proved that the proposed dynamics fitted CalgaryandTorontotemperature data successfully. These models are also applied to derivation of an explicit price of CAT futures, and numerical prices of CDD and HDD futures using fast Fourier transform. The novelty of this paper lies in the applications of daily average temperature models to Canadian cities data and CAR model driven by Lévy process, futures pricing of CDD and HDD indices.