Characteristic function estimation of Ornstein-Uhlenbeck-based stochastic volatility models

Taufer, Emanuele and Leonenko, Nikolai and Bee, Marco (2009) Characteristic function estimation of Ornstein-Uhlenbeck-based stochastic volatility models. UNSPECIFIED.

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    Continuous-time stochastic volatility models are becoming increasingly popular in finance because of their flexibility in accommodating most stylized facts of financial time series. However, their estimation is difficult because the likelihood function does not have a closed-form expression. In this paper we propose a characteristic function-based estimation method for non-Gaussian Ornstein-Uhlenbeck-based stochastic volatility models. After deriving explicit expressions of the characteristic functions for various cases of interest we analyze the asymptotic properties of the estimators and evaluate their performance by means of a simulation experiment. Finally, a real-data application shows that the superposition of two Ornstein-Uhlenbeck processes gives a good approximation to the dependence structure of the process.

    Item Type: Departmental Technical Report
    Department or Research center: Computer and management sciences
    Subjects: UNSPECIFIED
    Uncontrolled Keywords: Ornstein-Uhlenbeck process; Lévy process; stochastic volatility; characteristic function estimation
    Report Number: DISA Working Paper 2009/7
    Repository staff approval on: 04 Dec 2009

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