Mean-variance hedging with oil futures

We analyze mean-variance-optimal dynamic hedging strategies in oil futures for oil producers and consumers. In a model for the oil spot and futures market with Gaussian convenience yield curves and a stochastic market price of risk, we find analytical solutions for the optimal trading strategies. An implementation of our strategies in an out-of-sample test on market data shows that the hedging strategies improve long-term return-risk profiles of both the producer and the consumer.

[1]  Huyên Pham,et al.  Mean-variance hedging for continuous processes: New proofs and examples , 1998, Finance Stochastics.

[2]  Thorsten Rheinländer,et al.  On L2-projections on a space of stochastic integrals , 1997 .

[3]  David C. Flaspohler,et al.  Mathematics of finance , 1973 .

[4]  M. Schweizer,et al.  Simplified mean-variance portfolio optimisation , 2012 .

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

[6]  M. Schweizer.  A guided tour through quadratic hedging approaches , 1999 .

[7]  H. P..  Annales de l'Institut Henri Poincaré , 1931, Nature.

[8]  M. Schweizer.  Approximation pricing and the variance-optimal martingale measure , 1996 .

[9]  R. Elliott,et al.  Advances in mathematical finance , 2007 .

[10]  Eduardo S. Schwartz,et al.  Pricing of Options on Commodity Futures with Stochastic Term Structures of Convenience Yields and Interest Rates , 1998, Journal of Financial and Quantitative Analysis.

[11]  C. Sin.  Complications with stochastic volatility models , 1998, Advances in Applied Probability.

[12]  D. Duffie,et al.  Transform Analysis and Asset Pricing for Affine Jump-Diffusions , 1999 .

[13]  Michael Ludkovski,et al.  Spot Convenience Yield Models for the Energy Markets , 2003 .

[15]  Walter Schachermayer,et al.  Attainable claims with p'th moments , 1996 .

[16]  Huyên Pham,et al.  Mean-Variance Hedging for Continuous Processes , 1997 .

[17]  Minimum variance cross hedging under mean‐reverting spreads, stochastic convenience yields, and jumps: Application to the airline industry , 2009 .

[18]  Huyen Pham,et al.  Continuous-time stochastic control and optimization with financial applications / Huyen Pham , 2009 .

[19]  H. Pham,et al.  Mean‐Variance Hedging and Numéraire , 1998 .

[20]  MEAN–VARIANCE HEDGING AND OPTIMAL INVESTMENT IN HESTON'S MODEL WITH CORRELATION , 2008 .

[21]  Hélyette Geman.  Mean Reversion Versus Random Walk in Oil and Natural Gas Prices , 2007 .

[22]  M. Schweizer.  On the Minimal Martingale Measure and the Foellmer- Schweizer Decomposition , 1995 .

[23]  E. Jouini,et al.  Option pricing, interest rates and risk management , 2001 .

[24]  Y. Tse,et al.  Some Recent Developments in Futures Hedging , 2000 .

[25]  Warrren B Powell,et al.  An Optimal Solution to a General Dynamic Jet Fuel Hedging Problem , 2008 .

[26]  Dennis K. J. Lin,et al.  Amendments and Corrections , 2006 .

[27]  J. Kallsen,et al.  On the Structure of General Mean-Variance Hedging Strategies , 2005, 0708.1715.

[28]  Sheng-Syan Chen,et al.  Futures hedge ratios: a review , 2003 .

[29]  Walter Schachermayer,et al.  The variance-optimal martingale measure for continuous processes , 1996 .

[30]  Eckhard Platen,et al.  On the Role of the Growth Optimal Portfolio in Finance , 2005 .