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Do Commodities Add Economic Value in Asset Allocation? New Evidence from Time-Varying Moments

  • Xin Gao and Federico Nardari

We conduct a comprehensive out-of-sample assessment of the economic value adding of commodities in multiasset investment strategies that exploit the predictability of asset return moments. We find that predictability makes the inclusion of commodities profitable even when short selling and high leverage are not permitted. For instance, a mean-variance (non-mean-variance) investor with moderate risk aversion and leverage, rebalancing quarterly, would be willing to pay up to 108 (155) basis points per year after transaction cost for adding commodities to her stock, bond, and cash portfolio. Previous research had reached mixed or even opposite conclusions, especially in an out-of-sample context.

Corresponding author
* Gao,, Sacred Heart University Welch College of Business; Nardari (corresponding author),, University of Melbourne Faculty of Business and Economics.
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We thank Rob Brown, Stephen Brown (the editor), David Feldman, Thijs van der Heijden, Kris Jacobs, Antonio Gargano, Lyndon Moore, Raul Susmel, Jun Tu (the referee), and seminar participants at Monash University, the University of Melbourne, and the University of New South Wales for useful comments and discussions.

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Ang, A. Asset Management. Oxford, UK: Oxford University Press (2014).
Ang, A., and Bekaert, G.. “International Asset Allocation with Regime Shifts.” Review of Financial Studies, 15 (2002), 11371187.
Anson, M.Maximizing Utility with Commodity Futures Diversification.” Journal of Portfolio Management, 25 (1999), 8694.
Avramov, D.Stock Return Predictability and Model Uncertainty.” Journal of Financial Economics, 64 (2002), 423458.
Baker, M., and Wurgler, J.. “Investor Sentiment in the Stock Market.” Journal of Economic Perspectives, 21 (2007), 129151.
Bakshi, G.; Panayotov, G.; and Skoulakis, G.. “The Baltic Dry Index as a Predictor of Global Stock Returns, Commodity Returns, and Global Economic Activity.” AFA Meetings Paper (2011).
Ball, C., and Torous, W.. “Stochastic Correlation across International Stock Markets.” Journal of Empirical Finance, 7 (2000), 373388.
Barclays Capital. “The Commodity Investor,” Research Report (2012).
Bates, J., and Granger, C.. “The Combination of Forecasts.” Journal of the Operational Research Society, 20 (1969), 451468.
Bekaert, G.; Erb, C.; Harvey, C.; and Viskanta, T.. “Distributional Characteristics of Emerging Market Returns and Asset Allocation.” Journal of Portfolio Management, 24 (1998), 102116.
Belousova, J., and Dorfleitner, G.. “On the Diversification Benefits of Commodities from the Perspective of Euro Investors.” Journal of Banking & Finance, 36 (2012), 24552472.
Ben-David, I.; Franzoni, F.; and Moussawi, R.. “Hedge Fund Stock Trading in the Financial Crisis of 2007–2009.” Review of Financial Studies, 25 (2012), 154.
Bessembinder, H., and Chan, K.. “Time-Varying Risk Premia and Forecastable Returns in Futures Markets.” Journal of Financial Economics, 32 (1992), 169193.
Bhardwaj, R. K., and Brooks, L. D.. “The January Anomaly: Effects of Low Share Price, Transaction Costs, and Bid-Ask Bias.” Journal of Finance, 47 (1992), 553575.
Bianchi, D., and Guidolin, M.. “Can Long-Run Dynamic Optimal Strategies Outperform Fixed-Mix Portfolios? Evidence from Multiple Data Sets.” European Journal of Operational Research, 236 (2014), 160176.
Billio, M.; Caporin, M.; and Gobbo, M.. “Flexible Dynamic Conditional Correlation Multivariate GARCH Models for Asset Allocation.” Applied Financial Economics Letters, 2 (2006), 123130.
Bodie, Z., and Rosansky, V.. “Risk and Return in Commodity Futures.” Financial Analysts Journal, 36 (1980), 2739.
Brandt, M.Portfolio Choice Problems.” Handbook of Financial Econometrics, 1 (2009), 269336.
Brown, S. J.The Portfolio Choice Problem: Comparison of Certainty Equivalence and Optimal Bayes Portfolios.” Communications in Statistics, Simulation and Computation, 7 (1978), 321334.
Büyükşahin, B.; Haigh, M.; and Robe, M.. “Commodities and Equities: Ever a ‘Market of One’?” Journal of Alternative Investments, 12 (2010), 7695.
Campbell, J. Y., and Shiller, R. J.. “Yield Spreads and Interest Rate Movements: A Bird’s Eye View.” Review of Economic Studies, 58 (1991), 495514.
Campbell, J. Y., and Thompson, S.. “Predicting Excess Stock Returns Out of Sample: Can Anything Beat the Historical Average?” Review of Financial Studies, 21 (2008), 15091531.
Campbell, J. Y., and Viceira, L. M.. Strategic Asset Allocation: Portfolio Choice for Long-Term Investors. New York, NY: Oxford University Press (2003).
Cao, B.; Jayasuriya, S.; and Shambora, W.. “Holding a Commodity Futures Index Fund in a Globally Diversified Portfolio: A Placebo Effect?” Economics Bulletin, 30 (2010), 18421851.
Cappiello, L.; Engle, R.; and Sheppard, K.. “Asymmetric Dynamics in the Correlations of Global Equity and Bond Returns.” Journal of Financial Econometrics, 4 (2006), 537572.
Case, B.; Yang, Y.; and Yildirim, Y.. “Dynamic Correlations among Asset Classes: REIT and Stock Returns.” Journal of Real Estate Finance and Economics, 44 (2012), 298318.
Cenesizoglu, T., and Timmermann, A.. “Do Return Prediction Models Add Economic Value?” Journal of Banking & Finance, 36 (2012), 29742987.
Chaves, D.; Hsu, J.; Li, F.; and Shakernia, O.. “Risk Parity Portfolio vs. Other Asset Allocation Heuristic Portfolios.” Journal of Investing, 20 (2011), 108118.
Chen, Y.-C.; Rogoff, K. S.; and Rossi, B.. “Can Exchange Rates Forecast Commodity Prices?” Quarterly Journal of Economics, 125 (2010), 11451194.
Chong, J., and Miffre, J.. “Conditional Correlation and Volatility in Commodity Futures and Traditional Asset Markets.” Journal of Alternative Investments, 12 (2010), 6175.
Citigroup. “Commodities Inflection Point, Still Cyclical, But Not So Super—2014 Annual Market Outlook.” Research Report (2013).
Cochrane, J., and Piazzesi, M.. “Bond Risk Premia.” American Economic Review, 95 (2005), 138160.
Cremers, M. K. J.Stock Return Predictability: A Bayesian Model Selection Perspective.” Review of Financial Studies, 15 (2002), 12231249.
Daskalaki, C., and Skiadopoulos, G.. “Should Investors Include Commodities in Their Portfolios After All? New Evidence” Journal of Banking & Finance, 35 (2011), 26062626.
Della Corte, P.; Sarno, L.; and Tsiakas, I.. “Volatility and Correlation Timing in Active Currency Management.” In Handbook of Exchange Rates, James, J., Marsh, I. W., and Sarno, L., eds. Hoboken, NJ: John Wiley & Sons (2012), 421447.
DeMiguel, V.; Garlappi, L.; and Uppal, R.. “Optimal versus Naive Diversification: How Inefficient Is the 1/N Portfolio Strategy?” Review of Financial Studies, 22 (2009), 19151953.
Eastman, A., and Lucey, B.. “Skewness and Asymmetry in Futures Returns and Volumes.” Applied Financial Economics, 18 (2008), 777800.
Engle, R.Dynamic Conditional Correlation.” Journal of Business & Economic Statistics, 20 (2002), 339350.
Engle, R., and Colacito, R.. “Testing and Valuing Dynamic Correlations for Asset Allocation.” Journal of Business & Economic Statistics, 24 (2006), 238253.
Erb, C., and Harvey, C.. “The Strategic and Tactical Value of Commodity Futures.” Financial Analysts Journal, 62 (2006), 6997.
Erb, C.; Harvey, C.; and Viskanta, T.. “Forecasting International Equity Correlations.” Financial Analysts Journal, 50 (1994), 3245.
Fabozzi, F. J.; Füss, R.; and Kaiser, D. G.. “Strategic and Tactical Allocation to Commodities for Retirement Savings Schemes.” In The Handbook of Commodity Investing, Nijman, T. E. and Swinkels, L. A. P., eds. Hoboken, NJ: John Wiley & Sons (2008), 522546.
Fama, E., and French, K.. “Commodity Futures Prices: Some Evidence on Forecast Power, Premiums, and the Theory of Storage.” Journal of Business, 60 (1987), 5573.
Farinelli, S., and Tibiletti, L.. “Sharpe Thinking in Asset Ranking with One-Sided Measures.” European Journal of Operational Research, 185 (2008), 15421547.
Fleming, J.; Kirby, C.; and Ostdiek, B.. “The Economic Value of Volatility Timing.” Journal of Finance, 56 (2001), 329352.
Fleming, J.; Kirby, C.; and Ostdiek, B.. “The Economic Value of Volatility Timing Using ‘Realized’ Volatility.” Journal of Financial Economics, 67 (2003), 473509.
Fortenbery, T., and Hauser, R.. “Investment Potential of Agricultural Futures Contracts.” American Journal of Agricultural Economics, 72 (1990), 721726.
Galvani, V., and Plourde, A.. “Portfolio Diversification in Energy Markets.” Energy Economics, 32 (2010), 257268.
Gargano, A., and Timmermann, A.. “Forecasting Commodity Price Indexes Using Macroeconomic and Financial Predictors.” International Journal of Forecasting, 30 (2014), 825843.
Garlappi, L., and Skoulakis, G.. “Taylor Series Approximations to Expected Utility and Optimal Portfolio Choice.” Mathematical and Financial Economics, 5 (2011), 121156.
Geman, H., and Kharoubi, C.. “WTI Crude Oil Futures in Portfolio Diversification: The Time-to-Maturity Effect.” Journal of Banking & Finance, 32 (2008), 25532559.
Goetzmann, W.; Li, L.; and Rouwenhorst, K.. “Long-Term Global Market Correlations.” Journal of Business, 78 (2005), 138.
Goh, J.; Jiang, F.; Tu, J.; and Zhou, G.. “Forecasting Government Bond Risk Premia Using Technical Indicators.” Available at (2013).
Gorton, G.; Hayashi, F.; and Rouwenhorst, K.. “The Fundamentals of Commodity Futures Returns.” Review of Finance, 17 (2012), 35105.
Gorton, G., and Rouwenhorst, K.. “Facts and Fantasies about Commodity Futures.” Financial Analysts Journal, 62 (2006), 4768.
Guidolin, M., and Timmermann, A.. “International Asset Allocation under Regime Switching, Skew, and Kurtosis Preferences.” Review of Financial Studies, 21 (2008), 889935.
Harvey, C. R.; Liechty, J.; Liechty, M.; and Müller, P.. “Portfolio Selection with Higher Moments.” Quantitative Finance, 10 (2010), 469485.
Harvey, C. R., and Siddique, A.. “Autoregressive Conditional Skewness.” Journal of Financial and Quantitative Analysis, 34 (1999), 465487.
Hong, H., and Yogo, M.. “What Does Futures Market Interest Tell Us About the Macroeconomy and Asset Prices?” Journal of Financial Economics, 105 (2012), 473490.
Huang, J., and Zhong, Z.. “Time Variation in Diversification Benefits of Commodity, REITs, and TIPS.” Journal of Real Estate Finance and Economics, 46 (2013), 152192.
Jensen, G.; Johnson, R.; and Mercer, J.. “Efficient Use of Commodity Futures in Diversified Portfolios.” Journal of Futures Markets, 20 (2000), 489506.
Jensen, G.; Johnson, R.; and Mercer, J.. “Tactical Asset Allocation and Commodity Futures.” Journal of Portfolio Management, 28 (2002), 100111.
Jondeau, E., and Rockinger, M.. “Optimal Portfolio Allocation under Higher Moments.” European Financial Management, 12 (2006), 2955.
Jondeau, E., and Rockinger, M.. “The Impact of Shocks on Higher Moments.” Journal of Financial Econometrics, 7 (2009), 77105.
Jondeau, E., and Rockinger, M.. “On the Importance of Time Variability in Higher Moments for Asset Allocation.” Journal of Financial Econometrics, 10 (2012), 84123.
Kan, R., and Zhou, G.. “Optimal Portfolio Choice with Parameter Uncertainty.” Journal of Financial and Quantitative Analysis, 42 (2007), 621656.
Lesmond, D. A.; Ogden, J. P.; and Trzcinka, C. A.. “A New Estimate of Transaction Costs.” Review of Financial Studies, 12 (1999), 11131141.
Longin, F., and Solnik, B.. “Is the Correlation in International Equity Returns Constant: 1960–1990?” Journal of International Money and Finance, 14 (1995), 326.
Ludvigson, S. C., and Ng, S.. “Macro Factors in Bond Risk Premia.” Review of Financial Studies, 22 (2009), 50275067.
Markowitz, H.Portfolio Selection.” Journal of Finance, 7 (1952), 7791.
Marquering, W., and Verbeek, M.. “The Economic Value of Predicting Stock Index Returns and Volatility.” Journal of Financial and Quantitative Analysis, 39 (2004), 407429.
Moskowitz, T.An Analysis of Covariance Risk and Pricing Anomalies.” Review of Financial Studies, 16 (2003), 417457.
Neely, C. J.; Rapach, D. E.; Tu, J.; and Zhou, G.. “Forecasting the Equity Risk Premium: The Role of Technical Indicators.” Management Science, 60 (2014), 17721791.
Patton, A.On the Out-of-Sample Importance of Skewness and Asymmetric Dependence for Asset Allocation.” Journal of Financial Econometrics, 2 (2004), 130168.
Pettenuzzo, D.; Timmermann, A.; and Valkanov, R.. “Forecasting Stock Returns under Economic Constraints.” Journal of Financial Economics, 114 (2014), 517553.
Rapach, D. E.; Strauss, J. K.; and Zhou, G.. “Out-of-Sample Equity Premium Prediction: Combination Forecasts and Links to the Real Economy.” Review of Financial Studies, 23 (2010), 821862.
Stoll, H. R., and Whaley, R. E.. “Transaction Costs and the Small Firm Effect.” Journal of Financial Economics, 12 (1983), 5779.
Strongin, S., and Petsch, M.. “Asset Returns and the Economic Environment.” Research Report, Goldman Sachs (1996).
Timmermann, A.Forecast Combinations.” Handbook of Economic Forecasting, 1 (2006), 135196.
Tu, J., and Zhou, G.. “Incorporating Economic Objectives into Bayesian Priors: Portfolio Choice under Parameter Uncertainty.” Journal of Financial and Quantitative Analysis, 45 (2010), 959986.
Vrugt, E. B.; Bauer, R.; Molenaar, R.; and Steenkamp, T.. “Dynamic Commodity Timing Strategies.” Available at (2009).
Welch, I., and Goyal, A.. “A Comprehensive Look at the Empirical Performance of Equity Premium Prediction.” Review of Financial Studies, 21 (2008), 14551508.
You, L., and Daigler, R.. “Using Four-Moment Tail Risk to Examine Financial and Commodity Instrument Diversification.” Financial Review, 45 (2010), 11011123.
You, L., and Daigler, R.. “A Markowitz Optimization of Commodity Futures Portfolios.” Journal of Futures Markets, 33 (2013), 343368.
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