Merchant Commodity Storage and Term-Structure Model Error

Merchant operations involves valuing and hedging the cash flows of commodity-and energy-conversion assets as real options based on stochastic models that inevitably embed model error. In this paper we quantify how empirically calibrated model errors concerning the futures term structure affect the valuation and hedging of natural gas storage. We find that even small model errors-on the order of 1%-2% of the empirical futures price variance-can have a disproportionate impact on storage valuation and hedging. In particular, theoretically equivalent hedging strategies have very different sensitivities to model error, with one natural strategy exhibiting potentially catastrophic performance in the presence of small model errors. We propose effective approaches to mitigate the negative effect of futures term-structure model error on hedging, also taking into account futures contract illiquidity, and provide theoretical justification for some of these approaches. Beyond commodity storage, our analysis has relevance for other real and financial options that depend on futures term-structure dynamics, as well as for inventory, production, and capacity investment policies that rely on demand-forecast term structures.

[1]  Ehud I. Ronn Real Options and Energy Management: Using Options Methodology to Enhance Capital Budgeting Decisions , 2003 .

[2]  Hélyette Geman,et al.  Soybean Inventory and Forward Curve Dynamics , 2005, Manag. Sci..

[3]  John R. Birge,et al.  Option Methods for Incorporating Risk into Linear Capacity Planning Models , 2000, Manuf. Serv. Oper. Manag..

[4]  Alan Scheller-Wolf,et al.  Valuation of Storage at a Liquefied Natural Gas Terminal , 2011, Oper. Res..

[5]  Amitabh Sinha,et al.  Integrated Optimization of Procurement, Processing, and Trade of Commodities , 2011, Oper. Res..

[6]  J. Tirole The theory of corporate finance , 2006 .

[7]  S. Borovkova,et al.  Seasonal and stochastic effects in commodity forward curves , 2007 .

[8]  Carlos F. Tolmasky,et al.  Principal components analysis for correlated curves and seasonal commodities: The case of the petroleum market , 2002 .

[9]  D. P. Kennedy THE TERM STRUCTURE OF INTEREST RATES AS A GAUSSIAN RANDOM FIELD , 1994 .

[10]  Eduardo S. Schwartz,et al.  The Relative Valuation of Caps and Swaptions: Theory and Empirical Evidence , 2000 .

[11]  Rong Li,et al.  Managing Storable Commodity Risks: The Role of Inventory and Financial Hedge , 2013, Manuf. Serv. Oper. Manag..

[12]  Panagiotis Kouvelis,et al.  On the Integration of Production and Financial Hedging Decisions in Global Markets , 2007, Oper. Res..

[13]  N. Meyers,et al.  H = W. , 1964, Proceedings of the National Academy of Sciences of the United States of America.

[14]  Alexander Boogert,et al.  Gas storage valuation using a multifactor price process , 2011 .

[15]  Steve Leppard Energy Risk Management: A Non-Technical Introduction to Energy Derivatives , 2005 .

[16]  Sripad K. Devalkar,et al.  Integrated Optimization of Procurement, Processing and Trade of Commodities in a Network Environment , 2010 .

[17]  Derek D. Wang,et al.  Seasonal Energy Storage Operations with Limited Flexibility: The Price-Adjusted Rolling Intrinsic Policy , 2012, Manuf. Serv. Oper. Manag..

[18]  James E. Smith,et al.  Options in the Real World: Lessons Learned in Evaluating Oil and Gas Investments , 1999, Oper. Res..

[19]  Kaj Rosling,et al.  The Effects of Financial Risks on Inventory Policy , 2005, Manag. Sci..

[20]  Michael C. Fu,et al.  Sensitivity Analysis for Monte Carlo Simulation of Option Pricing , 1995, Probability in the Engineering and Informational Sciences.

[21]  P. Glasserman,et al.  Estimating security price derivatives using simulation , 1996 .

[22]  P. Ritchken,et al.  On Pricing and Hedging in the Swaption Market: How Many Factors, Really? , 2007 .

[23]  Sven Axsäter,et al.  Multi-Stage Production Planning and Inventory Control , 1986 .

[24]  Nicola Secomandi,et al.  Optimal Commodity Trading with a Capacitated Storage Asset , 2010, Manag. Sci..

[25]  R. Carmona,et al.  Valuation of energy storage: an optimal switching approach , 2010 .

[26]  Sunder Kekre,et al.  Optimal Energy Procurement in Spot and Forward Markets , 2014, Manuf. Serv. Oper. Manag..

[27]  Erica L. Plambeck,et al.  On the Value of Input Efficiency, Capacity Efficiency, and the Flexibility to Rebalance Them , 2013, Manuf. Serv. Oper. Manag..

[28]  Barbara T. Fichman Annual Energy Review 2009 , 2010 .

[29]  Eduardo S. Schwartz,et al.  Investment Under Uncertainty. , 1994 .

[30]  EnergyInformationAdministration Annual Energy Outlook 2008 With Projections to 2030 , 2008 .

[31]  Nicola Secomandi,et al.  On the Pricing of Natural Gas Pipeline Capacity , 2010, Manuf. Serv. Oper. Manag..

[32]  Matt Thompson,et al.  Optimal Economic Dispatch and Risk Management of Thermal Power Plants in Deregulated Markets , 2013, Oper. Res..

[33]  M. Manoliu,et al.  Energy futures prices: term structure models with Kalman filter estimation , 2002 .

[34]  P. Collin‐Dufresne,et al.  Stochastic Convenience Yield Implied from Commodity Futures and Interest Rates , 2005 .

[35]  Hélyette Geman,et al.  Risk management in commodity markets : from shipping to agriculturals and energy , 2009 .

[36]  Bryan R. Routledge,et al.  Equilibrium Forward Curves for Commodities , 2000 .

[37]  Matt Thompson Natural gas storage valuation, optimization, market and credit risk management , 2016 .

[38]  Patrick Jaillet,et al.  Valuation of Commodity-Based Swing Options , 2004, Manag. Sci..

[39]  M. Davison,et al.  Natural gas storage valuation and optimization: A real options application , 2009 .

[40]  Dennis Frestad,et al.  Common and unique factors influencing daily swap returns in the Nordic electricity market, 1997–2005☆ , 2008 .

[41]  Eduardo S. Schwartz,et al.  The Valuation of Commodity Contingent Claims , 1994 .

[42]  Petter Bjerksund,et al.  Gas Storage Valuation: Price Modelling v. Optimization Methods , 2008 .

[43]  Jérôme Detemple American-Style Derivatives : Valuation and Computation , 2005 .

[44]  Hiroaki Suenaga,et al.  Volatility dynamics of nymex natural gas futures prices , 2008 .

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

[46]  Jan A. Van Mieghem Capacity Management, Investment, and Hedging: Review and Recent Developments , 2003 .

[47]  Zhuliang Chen,et al.  A Semi-Lagrangian Approach for Natural Gas Storage Valuation and Optimal Operation , 2007, SIAM J. Sci. Comput..

[48]  S. Resnick A Probability Path , 1999 .

[49]  J. Hull Risk Management And Financial Institutions , 2006 .

[50]  Nicola Secomandi,et al.  An Approximate Dynamic Programming Approach to Benchmark Practice-Based Heuristics for Natural Gas Storage Valuation , 2010, Oper. Res..

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

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

[53]  Stephen R. Koontz,et al.  Integrating Long-Term and Short-Term Contracting in Beef Supply Chains , 2011, Manag. Sci..

[54]  P. Klaassen,et al.  The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions , 2002, Journal of Financial and Quantitative Analysis.

[55]  H. Geman Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy , 2005 .

[56]  Hong Chen,et al.  Optimal Control and Equilibrium Behavior of Production-Inventory Systems , 2010, Manag. Sci..

[57]  Dudley,et al.  Real Analysis and Probability: Measurability: Borel Isomorphism and Analytic Sets , 2002 .

[58]  Dennis Frestad,et al.  Liquidity and dirty hedging in the Nordic electricity market , 2012 .

[59]  Jan A. Van Mieghem,et al.  Commissioned Paper: Capacity Management, Investment, and Hedging: Review and Recent Developments , 2003, Manuf. Serv. Oper. Manag..

[60]  Pietro Veronesi Fixed Income Securities: Valuation, Risk, and Risk Management , 2010 .

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

[62]  D. Heath,et al.  Modelling the evolution of demand forecasts with application to safety stock analysis in production distribution systems , 1994 .

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

[64]  Alexander Boogert,et al.  Gas Storage Valuation Using a Monte Carlo Method , 2008 .

[65]  Eduardo S. Schwartz,et al.  Short-Term Variations and Long-Term Dynamics in Commodity Prices , 2000 .

[66]  Martin B. Haugh,et al.  Optimal Control and Hedging of Operations in the Presence of Financial Markets , 2006, Math. Oper. Res..

[67]  Stephen C. Graves,et al.  TWO-STAGE PRODUCTION PLANNING IN A DYNAMIC ENVIRONMENT , 1985 .

[68]  Sridhar Seshadri,et al.  Hedging Inventory Risk Through Market Instruments , 2005, Manuf. Serv. Oper. Manag..

[69]  M. Musiela,et al.  The Market Model of Interest Rate Dynamics , 1997 .

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

[71]  Paul Glasserman,et al.  Monte Carlo Methods in Financial Engineering , 2003 .

[72]  A. Eydeland,et al.  Energy and Power Risk Management: New Developments in Modeling, Pricing, and Hedging , 2002 .

[73]  J. Cockcroft Investment in Science , 1962, Nature.

[74]  Nicola Secomandi,et al.  Real Options and Merchant Operations of Energy and Other Commodities , 2014, Found. Trends Technol. Inf. Oper. Manag..

[75]  Genaro J. Gutierrez,et al.  Multiechelon Procurement and Distribution Policies for Traded Commodities , 2011, Manag. Sci..

[76]  Nicola Secomandi,et al.  A Computational Approach to the Real Option Management of Network Contracts for Natural Gas Pipeline Transport Capacity , 2012, Manuf. Serv. Oper. Manag..