How to combine precious metals with corn in a risk-minimizing two-asset portfolio?

Abstract

This paper tries to find out which precious metal futures are the best hedging tools for corn spot commodity, taking into account three different risk measures - variance (Var), value at risk (VaR), and conditional value at risk (CVaR). For computation purposes, we use an optimal dynamic conditional correlation (DCC) specification for every considered pair. Our findings indicate that portfolio with gold outperforms the other three precious metals (silver, platinum, and palladium) with respect to all three risk metrics. The reason for such findings is two-fold. First, gold has the lowest average dynamic correlation with corn (below 11%), and gold also has the lowest average risk of all precious metals. The second-best combination is corn-platinum, whereas the corn-silver pair gives the worst hedging results. This happens because silver has the highest average dynamic correlation with corn (14.5%), but more importantly, silver is the riskiest commodity, which makes this asset unsuitable for combining with corn. According to the results, the ratio between corn and gold in a two-asset portfolio should be about 27 : 73.

Keywords

• different risk measures
• dynamic correlations
• dynamic weights