A threshold autoregressive model for wholesale electricity prices

We introduce a discrete-time model for electricity prices, which accounts for both transitory spikes and temperature effects. The model allows for different rates of mean-reversion: One for weather events, one around price jumps, and another for the remainder of the process. We estimate the model using a Markov chain Monte Carlo approach with three years of data from Allegheny County, Pennsylvania. We show that our model outperforms existing stochastic jump-diffusion models for this data set. Results also demonstrate the importance of model parameters corresponding to both the temperature effect and the multi-level mean-reversion rate.

[1]  Fernando L. Alvarado,et al.  Understanding price volatility in electricity markets , 2000, Proceedings of the 33rd Annual Hawaii International Conference on System Sciences.

[2]  B. Philipp Kellerhals,et al.  Financial Pricing Models in Continuous Time and Kalman Filtering , 2001 .

[3]  P. Brockwell Continuous-time ARMA processes , 2001 .

[4]  R. Tweedie,et al.  Continuous-time threshold AR(1) processes , 1996, Advances in Applied Probability.

[5]  William H. Press,et al.  Numerical recipes in C (2nd ed.): the art of scientific computing , 1992 .

[6]  S. Ross,et al.  A theory of the term structure of interest rates'', Econometrica 53, 385-407 , 1985 .

[7]  Richard A. Davis,et al.  Time Series: Theory and Methods , 2013 .

[8]  T. Alderweireld,et al.  A Theory for the Term Structure of Interest Rates , 2004, cond-mat/0405293.

[9]  R. Huisman,et al.  Regime Jumps in Electricity Prices , 2001 .

[10]  Hung Man Tong,et al.  Threshold models in non-linear time series analysis. Lecture notes in statistics, No.21 , 1983 .

[11]  Shi-Jie Deng,et al.  Pricing electricity derivatives under alternative stochastic spot price models , 2000, Proceedings of the 33rd Annual Hawaii International Conference on System Sciences.

[12]  Peter Green,et al.  Markov chain Monte Carlo in Practice , 1996 .

[13]  J. R. Koehler,et al.  Modern Applied Statistics with S-Plus. , 1996 .

[14]  M. Rosenblatt Remarks on a Multivariate Transformation , 1952 .

[15]  William H. Press,et al.  Numerical recipes in C , 2002 .

[16]  Oldrich A. Vasicek An equilibrium characterization of the term structure , 1977 .