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Factor Structure in Commodity Futures Return and Volatility

  • Peter Christoffersen, Asger Lunde and Kasper V. Olesen


We uncover stylized facts of commodity futures’ price and volatility dynamics in the post-financialization period and find a factor structure in daily commodity volatility that is much stronger than the factor structure in returns. The common factor in commodity volatility relates to stock market volatility as well as to the business cycle. Model-free realized commodity betas with the stock market were high during 2008–2010 but have since returned to the pre-crisis level, close to 0. While commodity markets appear segmented from the equity market when considering only returns, commodity volatility indicates a nontrivial degree of market integration.


Corresponding author

*Christoffersen, formerly of the University of Toronto Rotman School of Management, Copenhagen Business School, and Center for Research in Econometric Analysis of Time Series (CREATES); Lunde,, Aarhus University Department of Economics and Business Economics and CREATES; Olesen (corresponding author),, Aarhus University Department of Economics and Business Economics and CREATES.


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We are grateful for comments from Hendrik Bessembinder (the editor), Kim Christensen, Stephen Figlewski, Christian Hafner, Nikolaus Hautsch, and Avraham Kamara (the referee) as well as participants at the 2016 Annual Volatility Institute Conference at the NYU Stern School of Business, the 2014 CIREQ Conference on High-Frequency Financial Data, the 2013 Aarhus University Finance Research Group Conference, and CREATES research seminars. We acknowledge support from the Center for Research in Econometric Analysis of Time Series (CREATES, DNRF78), funded by the Danish National Research Foundation. Christoffersen was also supported by Bank of Canada, GRI (, and the Social Sciences and Humanities Research Council of Canada. Lunde and Olesen were supported by the Aarhus University Research Foundation Pilot Center. Part of the research was done while Olesen was with Bank of America Merrill Lynch. The opinions and views expressed in this paper are those of the authors and not necessarily those of their employers. All errors are our own. We regret that our coauthor Peter Christoffersen passed away prior to the publication of this article. We are grateful for his contributions to this research effort.



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Acharya, V. V.; Lochstoer, L. A.; and Ramadorai, T.. “Limits to Arbitrage and Hedging: Evidence from Commodity Markets.” Journal of Financial Economics, 109 (2013), 441465.
Andersen, T. G.; Bollerslev, T.; Christoffersen, P.; and Diebold, F.. “Financial Risk Measurement for Financial Risk Management.” In Handbook of the Economics of Finance, Vol. 2B, Constantinides, G., Harris, M., and Stulz, R., eds. Elsevier (2013), 11271220.
Andersen, T. G.; Bollerslev, T.; Diebold, F. X.; and Ebens, H.. “The Distribution of Realized Stock Return Volatility.” Journal of Financial Economics, 61 (2001), 4376.
Andersen, T. G.; Bollerslev, T.; Diebold, F. X.; and Labys, P.. “The Distribution of Exchange Rate Volatility.” Journal of the American Statistical Association, 96 (2001), 4255. Correction published in 2003, vol. 98, p. 501.
Andersen, T. G.; Bollerslev, T.; Diebold, F. X.; and Wu, J.. “A Framework for Exploring the Macroeconomic Determinants of Systematic Risk.” American Economic Review, 95 (2005), 398404.
Anderson, R. W.Some Determinants of the Volatility of Futures Prices.” Journal of Futures Markets, 5 (1985), 331348.
Ang, A.; Hodrick, R. J.; Xing, Y.; and Zhang, X.. “The Cross-Section of Volatility and Expected Returns.” Journal of Finance, 61 (2006), 259299.
Ang, A.; Hodrick, R. J.; Xing, Y.; and Zhang, X.. “High Idiosyncratic Volatility and Low Returns: International and Further U.S. Evidence.” Journal of Financial Economics, 91 (2009), 123.
Aruoba, S. B.; Diebold, F. X.; and Scotti, C.. “Real-Time Measurement of Business Conditions.” Journal of Business & Economic Statistics, 27 (2009), 417427.
Asness, C. S.; Frazzini, A.; and Pedersen, L. H.. “Quality Minus Junk.” Working Paper, AQR (2013).
Asness, C. S.; Moskowitz, T. J.; and Pedersen, L. H.. “Value and Momentum Everywhere.” Journal of Finance, 68 (2013), 929985.
Baker, S. D.“The Financialization of Storable Commodities.” Working Paper, University of Virginia (2016).
Baker, S. D., and Routledge, B.. “The Price of Oil Risk.” Working Paper, Carnegie Mellon University (2017).
Bakshi, G.; Gao, X.; and Rossi, A.. “Understanding the Sources of Risk Underlying the Cross-Section of Commodity Returns.” Management Science, forthcoming (2019).
Barndorff-Nielsen, O. E.; Hansen, P. R.; Lunde, A.; and Shephard, N.. “Realized Kernels in Practice: Trades and Quotes.” Econometrics Journal, 12 (2009), C1C32.
Barndorff-Nielsen, O. E., and Shephard, N.. “Econometric Analysis of Realized Covariation: High Frequency Based Covariance, Regression, and Correlation in Financial Economics.” Econometrica, 72 (2004), 885925.
Barndorff-Nielsen, O. E., and Shephard, N.. “Variation, Jumps, and High Frequency Data in Financial Econometrics.” In Advances in Economics and Econometrics. Theory and Applications, Ninth World Congress, Econometric Society Monographs, Blundell, R., Persson, T., and Newey, W. K., eds. Cambridge University Press (2007), 328372.
Basak, S., and Pavlova, A.. “A Model of Financialization of Commodities.” Journal of Finance, 71 (2016), 15111536.
Bekaert, G.; Harvey, C. R.; Lundblad, C. T.; and Siegel, S.. “What Segments Equity Markets?Review of Financial Studies, 24 (2011), 38413890.
Bessembinder, H.Systematic Risk, Hedging Pressure, and Risk Premiums in Futures Markets.” Review of Financial Studies, 5 (1992), 637667.
Bessembinder, H., and Chan, K.. “Time-Varying Risk Premia and Forecastable Returns in Futures Markets.” Journal of Financial Economics, 32 (1992), 169193.
Bessembinder, H.; Coughenour, J. F.; Seguin, P. J.; and Smoller, M. M.. “Is There a Term Structure of Futures Volatilities? Reevaluating the Samuelson Hypothesis.” Journal of Derivatives, 4 (1996), 4558.
Bloom, N.Fluctuations in Uncertainty.” Journal of Economic Perspectives, 28 (2014), 153176.
Boons, M.; De Roon, F.; and Szymanowska, M.. “The Price of Commodity Risk in Stock and Futures Markets.” Working Paper, Tilburg University (2015).
Boysen, N.; Stahel, C. W.; and Stulz, R. M.. “Hedge Fund Contagion and Liquidity Shocks.” Journal of Finance, 65 (2010), 17891816.
Büyüksahin, B.; Haigh, M. S.; and Robe, M. A.. “Commodities and Equities: A ‘Market of One’?Journal of Alternative Investments, 12 (2010), 7695.
Campbell, J. Y.; Giglio, S. W.; Polk, C.; and Turley, R.. “An Intertemporal CAPM with Stochastic Volatility.” Journal of Financial Economics, 128 (2018), 207233.
Cappiello, L.; Engle, R. F.; and Sheppard, K.. “Asymmetric Dynamics in the Correlations of Global Equity and Bond Returns.” Journal of Financial Econometrics, 4 (2006), 537572.
Carlson, M.; Khokher, Z.; and Titman, S.. “Equilibrium Exhaustible Resource Price Dynamics.” Journal of Finance, 62 (2007), 16631703.
Carrieri, F.; Errunza, V.; and Hogan, K.. “Characterizing World Market Integration through Time.” Journal of Financial and Quantitative Analysis, 42 (2007), 915940.
Casassus, J.; Collin-Dufresne, P.; and Routledge, B. R.. “Equilibrium Commodity Prices with Irreversible Investment and Non-Linear Technologies.” Journal of Banking and Finance, 95 (2018), 128147.
Chen, Z., and Petkova, R.. “Does Idiosyncratic Volatility Proxy for Risk Exposure?Review of Financial Studies, 25 (2012), 27452787.
Cheng, I.-H., and Xiong, W.. “The Financialization of Commodity Markets.” Annual Review of Economic Financial Economics, 6 (2014), 419441.
Christoffersen, P., and Pan, X. N.. “Oil Volatility Risk and Expected Stock Returns.” Journal of Banking and Finance, 95 (2018), 526.
Daskalaki, C.; Kostakis, A.; and Skiadopoulos, G.. “Are There Common Factors in Individual Commodity Futures Returns?Journal of Banking & Finance, 40 (2014), 346363.
Duarte, J.; Kamara, A.; Siegel, S.; and Sun, C.. “The Systematic Risk of Idiosyncratic Volatility.” Working Paper, Rice University, University of Washington, and Wealthfront, Inc. (2014).
Engle, R., and Figlewski, S.. “Modeling the Dynamics of Correlations among Implied Volatilities.” Review of Finance, 19 (2015), 9911018.
Engle, R. F.Dynamic Conditional Correlation: A Simple Class of Multivariate GARCH Models.” Journal of Business & Economic Statistics, 20 (2002), 339350.
Engle, R. F.Dynamic Conditional Beta.” Journal of Financial Econometrics, 14 (2016), 643667.
Fama, E. F., and French, K. R.. “The Cross-Section of Expected Stock Returns.” Journal of Finance, 47 (1992), 427465.
Frazzini, A., and Pedersen, L. H.. “Betting against Beta.” Journal of Financial Economics, 111 (2014), 125.
Gorton, G. B.; Hayashi, F.; and Rouwenhorst, G. K.. “The Fundamentals of Commodity Futures Returns.” Review of Finance, 17 (2013), 35105.
Gorton, G. B., and Rouwenhorst, K. G.. “Facts and Fantasies about Commodity Futures.” Financial Analysts Journal, 4768.
Hamilton, J. D., and Wu, J. C.. “Effects of Index-Fund Investing on Commodity Futures Prices.” International Economic Review, 56 (2015), 187205.
Hansen, P. R., and Lunde, A.. “A Realized Variance for the Whole Day Based on Intermittent High-Frequency Data.” Journal of Financial Econometrics, 3 (2005), 525544.
Hansen, P. R., and Lunde, A.. “Forecasting Volatility Using High-Frequency Data.” In The Oxford Handbook of Economic Forecasting, M. Clements and D. Hendry, eds., chap. 19, Oxford: Blackwell (2011), 525–556.
Hasbrouck, J.Intraday Price Formation in U.S. Equity Index Markets.” Journal of Finance, 58 (2003), 23752400.
Henderson, B.; Pearson, N.; and Wang, L.. “New Evidence on the Financialization of Commodity Markets.” Review of Financial Studies, 28 (2015), 12851311.
Herskovic, B.; Kelly, B.; Lustig, H.; and Van Nieuwerburgh, S.. “The Common Factor in Idiosyncratic Volatility: Quantitative Asset Pricing Implications.” Journal of Financial Economics, 119 (2016), 249283.
Kamara, A.Issues in Futures Markets: A Survey.” Journal of Futures Markets, 2 (1982), 261294.
Kamara, A.The Behavior of Futures Markets: A Review of Theory and Evidence.” Financial Analysts Journal, 40 (1984), 6875.
Kellogg, R.The Effect of Uncertainty on Investment: Evidence from Texas Oil Drilling.” American Economic Review, 104 (2014), 16981734.
Kogan, L.; Livdan, D.; and Yaron, A.. “Oil Futures Prices in a Production Economy with Investment Constraints.” Journal of Finance, 64 (2009), 13451375.
Merton, R. C.On the Pricing of Corporate Debt: the Risk Structure of Interest Rates.” Journal of Finance, 29 (1974), 449470.
Nijman, T.; De Roon, F.; Szymanowska, M.; and Van Den Goorbergh, R.. “An Anatomy of Commodity Futures Risk Premia.” Journal of Finance, 69 (2014), 453482.
Patton, A. J., and Verardo, M.. “Does Beta Move with News? Firm-Specific Information Flows and Learning about Profitability.” Review of Financial Studies, 25 (2012), 27892839.
Pavlova, A., and Rigobon, R.. “The Role of Portfolio Constraints in the International Propagation of Shocks.” Review of Economic Studies, 75 (2008), 12151256.
Pukthuanthong, K., and Roll, R.. “Global Market Integration: An Alternative Measure and Its Application.” Journal of Financial Economics, 94 (2009), 214232.
Singleton, K. J.Investor Flows and the 2008 Boom/Bust in Oil Prices.” Management Science, 60 (2014), 300318.
Tang, K., and Xiong, W.. “Index Investment and Financialization of Commodities.” Financial Analysts Journal, 68 (2012), 5474.
Zhang, L.; Mykland, P. A.; and Aït-Sahalia, Y.. “A Tale of Two Time Scales: Determining Integrated Volatility with Noisy High Frequency Data.” Journal of the American Statistical Association, 100 (2005), 13941411.

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Factor Structure in Commodity Futures Return and Volatility

  • Peter Christoffersen, Asger Lunde and Kasper V. Olesen


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