Estimating Spot Price and Smooth Forward Curve in Electricity Markets with Bayesian Penalized Spline

The first part of this thesis presents a Bayesian penalized spline approach to constructing smooth forward curves in electricity markets. Since electricity should be delivered as a continuous flow, power contracts have settlement periods rather than a fixed delivery time. In addition, electricity forward curves have strong seasonal shape. Our approach provides a method for estimating a continuous forward price curve from market forward prices quoted over a period. The approach is illustrated using observed market data from the Mid-Columbia (Mid-C) and California Oregon Border (COB) pricing hubs. Since Mid-C is a liquid market where forward contracts are quoted every day and COB is an illiquid hub, a two step estimation procedure is developed from Bayesian perspective.First, the Mid-C smooth curve is constructed using Bayesian penalized spline. Next, the COB smooth curve is estimated by adding a spread to the constructed Mid-C smooth curve and incorporating the positive spread between the two hubs as an informative prior. In the second part, we present a mean reverting model for the electricity spot price and we employ a Bayesian penalized spline approach to model the deterministic seasonal function exhibited in the monthly averages. Based on the historical spot price from Alberta power market, we calibrated the model parameters, also by implementing Bayesian estimation techniques.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher.institution

Graduate Studies

Year dc:date.issued

2014

Author dc:creator

• Gezahagne, Azamed

Advisor dc:contributor.advisor

• Ware, Antony

• Economics--Finance
• Mathematics
• Statistics
• Energy

Statement dc:rights

• University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.

Language dc:language.iso

eng

DOI

http://dx.doi.org/10.11575/PRISM/25956

OAI identifier oai:identifier

oai:ucalgary.scholaris.ca:11023/1502