American Journal of Modeling and Optimization
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American Journal of Modeling and Optimization. 2015, 3(1), 7-21
DOI: 10.12691/ajmo-3-1-2
Open AccessArticle

Simulation for Pricing Electricity Consumptions in Nigeria and Hedging of Generation and Transmission Costs

Oyediran Benjamin Oyelami1, 2, and Adedamola Adewumi Adedoyin3

1National Mathematical Centre Abuja, Nigeria

2Department of Mathematics Plateau State University, Bokkos, Nigeria

3Department of Mathematics University of Abuja, Nigeria

Pub. Date: February 09, 2015

Cite this paper:
Oyediran Benjamin Oyelami and Adedamola Adewumi Adedoyin. Simulation for Pricing Electricity Consumptions in Nigeria and Hedging of Generation and Transmission Costs. American Journal of Modeling and Optimization. 2015; 3(1):7-21. doi: 10.12691/ajmo-3-1-2

Abstract

In this paper, simulations are carried to obtain fair electricity tariff for domestic consumption in Nigeria using the Ornstein-Uhlenbeck model and Monte Carlo method. The fair price also determined for transmission companies to buy electricity from the generating companies through European option derivative contracts. The fair price for a call option using Monte Carlo simulation is found to be 0.310 Naira and put price written by transmission companies to the distribution companies is found to be 0.307 Naira and finally, price sensitivity analyses for companies’ portfolio are made also.

Keywords:
model electricity tariff European option Monte Carlo simulation price sensitivity analyses

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References:

[1]  Ackerman (1985) Short-Term Load Prediction for Electric-Utility Control of Generating Units. Comparative models for electrical Load forecasting (pp. 32-42) New York.
 
[2]  Aid, R., Campi, L., Nguyenhuu, A. & Touzi, N. (2009) ‘A Structural Risk Neutral Model of Electricity Prices’ International Journal of Theoretical and Applied Finance 12 (7), 925-947
 
[3]  Al-Alawi, S.M and Syed, M.Islam (1996) Principles of Electricity Demand Forecasting: Part 1 Methodologies. Power Engineering Journal 10 (3), 139-143.
 
[4]  Al-Garni, A.Z., Syed, M.Z. and Javeed, S.N. (1994) A Regression Model for Electric-Energy-consumption forecasting in Eastern Saudi Arabia. Energy, 19 (10), 1043-1049.
 
[5]  Amarawickrama, H.A. and Hunt, L.C (2008) Electricity Demand for Sri Lanka: A Time series Analysis.
 
[6]  Anton, E., Michael, L., Lefevre, T., O’Leary, D., Peters, R., Svensson, B., and Wilkinson, R. (2000) “Electricity Supply and Demand Side managent Options” Prepared for the World commission on Dams.
 
[7]  Avishka Raghoonundun (2010) ‘Models for Electricity Prices’ Msc dissertation submitted to the University of British Colombia (Vancouver).
 
[8]  Barlow, M.T. (2002), ‘A diffusion model for electricity prices’ Mathematical Finance 12 (4), 287-298.
 
[9]  Barton, B (2003) “Does electricity Market Liberalization Contribute to energy Sustainability?” in Energy Law and Sustainable Development, Ed. By Bradbrook, A.J and Ottinger, R.I., pp. 2117-231 Cambridge: IUCN Publications.
 
[10]  Batstone, S. (2000) “Risk Management for Deregulated electricity Market: Simulation Results from a Hydro Management model” in Proceedings of the 33rd Annual Conference, Ed. By Henderson, A. and Orsnz, P.
 
[11]  Bodger P.S and Tay, H.S (1987) ‘Logistic and energy substitution Models for Electricity Forecasting: A Comparison Using New Zealand Consumption Data’ Technological Forecasting and Social Change, Vol. 31, pp. 27-48.
 
[12]  Buzoianu, M., Seppi, D.J. & Brockwell, E. Anthony (2011) “A Dynamic Supply-Demand Model for Electricity Prices” Technical Report submitted to the department of statistics, Carnegie Mellon University, Pittsburgh, PA.
 
[13]  Conelo, A.J., Contreras, R.E. and Plazas, M. (2005) “Forecasting Electricity Prices for a day-ahead pool-based electric energy market” international Journal of Forecasting, 21, pp. 435-462.
 
[14]  Dapice, D. “Electricity demand and supply in Myanmar”. Electric Power Research Institute, (1977) “Forecasting and Modelling Time-of-Day and Seasonal Electricity Demands” EPRI EA-578-SR, Palo Alto, CA. 2012.
 
[15]  Eydeland, A & Wolyniec, K (2002): Energy and Power Risk Management. New Development in Modelling, Pricing and hedging. John Wiley and Sons, New York, NY.
 
[16]  Oyelami Benjamin Oyediran (2013) “Models for pricing of electricity commodity”. Mathematical theory and modelling volume 3 No. 1.
 
[17]  Oyelami Benjamin Oyediran, and Adedoyin Adewumi Adedamola (2004) “Models for Forecasting the Demand and Supply of Electricity in Nigeria.” American Journal of Modelling and Optimization, vol. 2, no. 1: 25-33.
 
[18]  O’Neill Richard P., Paul M. Sotkiewicz, Benjamin F. Hobbs, Michael H. Rothkopf, William R. Stewart, Jr., “Efficient Market-Clearing Prices in Markets with Nonconvexities,” December 9, 2002, available on the web page of the Harvard Electricity Policy Group. (http://ksgwww.harvard.edu/hepg/).
 
[19]  Haque, R. (2006) Transmission loss allocation using artificial neural networks. Master of Science thesis submitted to the Department of Electrical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan.
 
[20]  Hogan W W (2003) Transmission Market Design. John F. Kennedy School of Government or Harvard University Working paper series, RWP03-040.
 
[21]  Hogan, William & Brendan J. Ring (2003) “On Minimum Uplift Pricing for Electricity Markets” available on the web page of Harvard Kennedy group. (http://www.hks.havard.edu)
 
[22]  Hull J. (2002): Options, Futures and Other derivatives 6th ed. Pearson, Prentice Hall, NJ.
 
[23]  Kwok Y.K Mathematical Model of Financial Derivatives (1998) Springer Verlag. Berlin.
 
[24]  Lavaei, J & Low, S.H. (2010) ‘Relationship Between Power Loss and Network Topology in Power Systems’ Technical report, California Institute of Technology. http://caltechcdstr.library.caltech.edu
 
[25]  North America Electric Reliability Council (1990) “Electricity Supply and Demand for 1990-1999”. Princeton New jersey
 
[26]  Oke, M. & Bambgola, M. (2013). ‘Minimization of Losses on Electric Power Transmission Line’ Mathematical Theory and Modelling. Vol. 3 (7), 28-31.
 
[27]  Julio, J.L &Eduardo, S.S (2002) “Electricity Prices and Power Derivatives: Evidence from the Nordic Power Exchange” Review of Derivative Research Vol. 5, issue1, pp 5-50, Springer.
 
[28]  Montero, Jose M. Maria C. Garcia –Centeno, Gema Fernandez-Aviles (2011) Modelling the Volatility of Spanish Wholesale Electricity Spot Market: Asymmetric Garch models Vs Threshold ARSV model, Estudios de Economia Aplicada, vol. 29, no 2, pp 597-616 Association International de Economia Aplicada Espana.
 
[29]  Richard P. O’Neill, Paul M. Sotkiewicz, Benjamin F. Hobbs, Michael H. Rothkopf, William R. Stewart, Jr., “Efficient Market-Clearing Prices in Markets with Nonconvexities,” December 9, 2002, available on the web page of the Harvard Electricity Policy Group. (http://ksgwww.harvard.edu/hepg/).
 
[30]  Paulo Glasserman Monte Carlo Methods in Financial engineering. Application of Mathematics Stochastic modelling and applied probability. Springer Science, USA 2004.
 
[31]  Steven E. Shreve Stochastic Calculus for finance II. Continuous Time Model USA, 2004 Springer Finance