In continuous time, diffusion processes have been used for modelling financial dynamics for a long time. For example the Ornstein-Uhlenbeck process (the simplest mean-reverting process)has been used to model non-speculative price processes. The Cox-Ingersoll-Ross process is widely used to model interest rate dynamics. We discuss parameter estimation of these processes using a new method, namely a Wavelet filter method. This approach is useful as it turns out that the resulting covariance function is decorrelated. We use Monte Carlo simulation to report the distribution of estimates.
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Find related papers by JEL classification: C0 - Mathematical and Quantitative Methods - - General C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics G0 - Financial Economics - - General
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