Abstract
The question of interest in this paper is the estimation of the trend of a financial asset, and the impact of its misspecification on investment strategies. The setting we consider is that of a stochastic asset price model where the trend follows an unobservable Ornstein–Uhlenbeck process. Motivated by the use of Kalman filtering as a forecasting tool, we address the problem of parameter estimation, and measure the effect of parameter misspecification. Numerical examples illustrate the difficulty of trend forecasting in financial time series.
Notes
No potential conflict of interest was reported by the authors.