Hedging Strategy and Electricity Contract Engineering

This thesis studies risk management in the electricity market in general and the interaction between physical production and electricity contracts in particular. From a risk management point of view, a power portfolio differs substantially from a traditional financial portfolio. Electricity is non-storable, which together with the marginal production cost characteristics creates jumps in the spot price. The return of a power portfolio is hence typically heavy-tailed, and a risk measure, such as CVaR, that captures this heavy-taildness is needed. To be able to compare production and contracts on a unified basis, we identify the set of contracts that corresponds to each power plant. These contracts build up a replicating portfolio of the power plant. This engineering of contracts allows us to risk manage these often complex contracts, through production. Further, a producing electricity company can through a simple absence of arbi¬ trage argument assess these contracts by studying the costs associated with the corresponding power plant. Flexible production units, such as a gas turbine, re¬ late to options whereas inflexible units, such as a nuclear plant, relate to futures. The electricity market is heavily incomplete, why perfect hedges are not achievable for a number of contracts. Hence we introduce the concept of best hedge. The best hedge is found through an optimization, where risk, measured as CVaR, is minimized subject to a constraint on the expected profit. It turns out that this problem can be solved with linear programming, allowing us to handle problems of substantial size. When a whole portfolio is considered we try to utilize our risk mandate at the best possible way. This leads us to the well-known problem in finance

[1]  D. Bertsimas,et al.  Shortfall as a risk measure: properties, optimization and applications , 2004 .

[2]  G. Friedl Copeland, Tom/Antikarov, Vladimir, Real Options. A Practitioner’s Guide, Texere LLC, New York 2001, $ 59,95 , 2002 .

[3]  J. Corcoran Modelling Extremal Events for Insurance and Finance , 2002 .

[4]  Boualem Djehiche,et al.  On modelling and pricing weather derivatives , 2002 .

[5]  R. Rockafellar,et al.  Conditional Value-at-Risk for General Loss Distributions , 2001 .

[6]  T. Copeland Real Options: A Practitioner's Guide , 2001 .

[7]  L. Clewlow,et al.  Energy Derivatives: Pricing and Risk Management , 2000 .

[8]  Samer Takriti,et al.  Incorporating Fuel Constraints and Electricity Spot Prices into the Stochastic Unit Commitment Problem , 2000, Oper. Res..

[9]  D T Gardner,et al.  Efficient formulation of electric utility resource planning models , 2000, J. Oper. Res. Soc..

[10]  Suleyman Basak,et al.  Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices , 1999 .

[11]  Philippe Artzner,et al.  Coherent Measures of Risk , 1999 .

[12]  Helmut Mausser,et al.  Beyond VaR: from measuring risk to managing risk , 1999, Proceedings of the IEEE/IAFE 1999 Conference on Computational Intelligence for Financial Engineering (CIFEr) (IEEE Cat. No.99TH8408).

[13]  R. Schuler "Analytic and experimentally-derived estimates of market power in deregulated electricity systems: Policy implications for the management and institutional evolution of the industry" , 1999, Proceedings of the 32nd Annual Hawaii International Conference on Systems Sciences. 1999. HICSS-32. Abstracts and CD-ROM of Full Papers.

[14]  Timothy D. Mount,et al.  Market power and price volatility in restructured markets for electricity , 1999, Proceedings of the 32nd Annual Hawaii International Conference on Systems Sciences. 1999. HICSS-32. Abstracts and CD-ROM of Full Papers.

[15]  Thomas J. Overbye,et al.  Analysis and visualization of market power in electric power systems , 1999, Proceedings of the 32nd Annual Hawaii International Conference on Systems Sciences. 1999. HICSS-32. Abstracts and CD-ROM of Full Papers.

[16]  Michael P. Ross. Corporate Hedging: What, Why and How? , 1998 .

[17]  S. Borenstein,et al.  An Empirical Analysis of the Potential for Market Power in California&Apos;S Electricity Industry , 1998 .

[18]  S. Read The Practice of Risk Management , 1998 .

[19]  Lars Bergman,et al.  Competition and Prices on the Emerging Nordic Electricity Market , 1998 .

[20]  D. Pilipović,et al.  Energy Risk: Valuing and Managing Energy Derivatives , 1997 .

[21]  Eduardo S. Schwartz The stochastic behavior of commodity prices: Implications for valuation and hedging , 1997 .

[22]  R. Cherkaoui,et al.  Long-term energy management optimization according to different types of transactions , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[23]  Ernst Eberlein,et al.  On the range of options prices , 1997, Finance Stochastics.

[24]  Shehzad L. Mian Evidence on Corporate Hedging Policy , 1996, Journal of Financial and Quantitative Analysis.

[25]  S. Hunt,et al.  Competition and Choice in Electricity , 1996 .

[26]  N. Karoui,et al.  Dynamic Programming and Pricing of Contingent Claims in an Incomplete Market , 1995 .

[27]  F. Delbaen,et al.  A general version of the fundamental theorem of asset pricing , 1994 .

[28]  Pravin Varaiya,et al.  Markets and pricing for interruptible electric power , 1993 .

[29]  H. Levy Stochastic dominance and expected utility: survey and analysis , 1992 .

[30]  D. Heath,et al.  Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation , 1990, Journal of Financial and Quantitative Analysis.

[31]  R. C. Merton,et al.  Continuous-Time Finance , 1990 .

[32]  Eduardo S. Schwartz,et al.  Stochastic Convenience Yield and the Pricing of Oil Contingent Claims , 1990 .

[33]  Peter V. Schaeffer,et al.  The inclusion of `spinning reserves' in investmetn and simulation models for electricity generation , 1989 .

[34]  B. Øksendal Stochastic differential equations : an introduction with applications , 1987 .

[35]  René M. Stulz,et al.  The Determinants of Firms' Hedging Policies , 1985, Journal of Financial and Quantitative Analysis.

[36]  G. Chamberlain A characterization of the distributions that imply mean—Variance utility functions☆ , 1983 .

[37]  J. Harrison,et al.  Martingales and stochastic integrals in the theory of continuous trading , 1981 .

[38]  Jean-Pierre Danthine,et al.  Hedging and Joint Production: Theory and Illustrations , 1980 .

[39]  J. M. Griffin,et al.  Energy Economics and Policy , 1979 .

[40]  Douglas T. Breeden An Intertemporal Asset Pricing Model with Stochastic Consumption and Investment Opportunities , 1979 .

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

[42]  S. Ross The arbitrage theory of capital asset pricing , 1976 .

[43]  R. C. Merton,et al.  AN INTERTEMPORAL CAPITAL ASSET PRICING MODEL , 1973 .

[44]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[45]  W. Sharpe CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[46]  R. Schwarz Umweltschutz , 2019, Geprüfte Schutz- und Sicherheitskraft (IHK).

[47]  Vijay,et al.  OF FINANCIAL AND QUANTITATIVE ANALYSIS June 1978 SAFETY-FIRST , STOCHASTIC DOMINANCE , AND OPTIMAL PORTFOLIO CHOICE , 2009 .

[48]  W. Ziemba,et al.  Hedging electricity portfolios via stochastic programming , 2002 .

[49]  F. Delbaen Coherent Risk Measures on General Probability Spaces , 2002 .

[50]  S. Nagornii,et al.  Liquidity Risk in Energy Markets , 2001 .

[51]  Jens Güssow,et al.  Power System Operation and Trading in competitive Energy Markets , 2001 .

[52]  Blake Johnson,et al.  Exotic electricity options and the valuation of electricity generation and transmission assets , 2001, Decis. Support Syst..

[53]  M. O'connell Research Report 2001 , 2001 .

[54]  G. Pflug Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk , 2000 .

[55]  L. Trigeorgis,et al.  Project flexibility, agency, and competition : new developments in the theory and application of real options , 2000 .

[56]  T. Paulsen,et al.  Risiko-Management als Wettbewerbsvorteil im Strommarkt , 2000 .

[57]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[58]  Stein-Erik Fleten Portfolio management emphasizing electricity market applications. A stochastic programming approach , 2000 .

[59]  L. Borodovsky,et al.  The professional's handbook of financial risk management , 2000 .

[60]  Marco Bigatto Systemtechnische Evaluation unterschiedlicher Marktmodelle eines offenen Strommarktes , 2000 .

[61]  Georg Ch. Pflug,et al.  How to Measure Risk , 1999 .

[62]  Shashi Kant Verma,et al.  ZONAL PRICING AND DEMAND-SIDE BIDDING IN THE NORWEGIAN ELECTRICITY MARKET , 1999 .

[63]  Lars Bergman,et al.  A European market for electricity , 1999 .

[64]  J. Viaene,et al.  The Behavior of Competitive Exporting Firms under Multiple Uncertainty , 1998 .

[65]  Anna Nagurney,et al.  Foundations of Financial Economics , 1997 .

[66]  Gary L. Gastineau,et al.  The dictionary of financial risk management , 1992 .

[67]  Harald Niederreiter,et al.  Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.

[68]  H. Stoll Least-Cost Electric Utility Planning , 1989 .

[69]  J. Hull Options, Futures, and Other Derivatives , 1989 .

[70]  George L. Nemhauser,et al.  Handbooks in operations research and management science , 1989 .

[71]  R. Billinton,et al.  Reliability evaluation of power systems , 1984 .

[72]  J. W. JEFFERY,et al.  Nuclear electricity , 1980, Nature.

[73]  D. M. Holthausen,et al.  Hedging and the Competitive Firm under Price Uncertainty , 1979 .

[74]  J. D. Suver,et al.  Cost of capital. , 1978, Hospital financial management.

[75]  F. Black The pricing of commodity contracts , 1976 .

[76]  R. C. Merton,et al.  Option pricing when underlying stock returns are discontinuous , 1976 .

[77]  W. Rudin Principles of mathematical analysis , 1964 .

[78]  Merton H. Miller The Cost of Capital, Corporation Finance and the Theory of Investment , 1958 .

[79]  R. Gibrat,et al.  Application of Linear Programming to Investments in the Electric Power Industry , 1957 .

[80]  A. Roy SAFETY-FIRST AND HOLDING OF ASSETS , 1952 .