The Rank Effect for Commodities

Ricardo T. Fernholz, Christoffer Koch
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Abstract

We uncover a large and significant low-minus-high rank effect for commodities across two centuries. There is nothing anomalous about this anomaly, nor is it clear how it can be arbitraged away. Using nonparametric econometric methods, we demonstrate that such a rank effect is a necessary consequence of a stationary relative asset price distribution. We confirm this prediction using daily commodity futures prices and show that a portfolio consisting of lower-ranked, lower-priced commodities yields 23% higher annual returns than a portfolio consisting of higher-ranked, higher-priced commodities. These excess returns have a Sharpe ratio nearly twice as high as the U.S. stock market yet are uncorrelated with market risk. In contrast to the extensive literature on asset pricing factors and anomalies, our results are structural and rely on minimal and realistic assumptions for the long-run properties of relative asset prices.
商品的等级效应
我们发现,两个世纪以来,大宗商品存在着巨大而显著的低-高秩效应。这种异常现象没有任何异常之处,也不清楚如何通过套利消除这种异常。使用非参数计量经济学方法,我们证明了这种秩效应是平稳相对资产价格分布的必然结果。我们使用每日商品期货价格证实了这一预测,并表明由排名较低、价格较低的商品组成的投资组合的年回报率比由排名较高、价格较高的商品组成的投资组合高23%。这些超额回报的夏普比率几乎是美国股市的两倍,但与市场风险无关。与大量关于资产定价因素和异常的文献相比,我们的结果是结构性的,并且依赖于相对资产价格长期属性的最小和现实假设。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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