π€ AI Summary
This study aims to deconstruct the heterogeneous sources of commodity risk across micro-level, market, and macroeconomic dimensions. Methodologically, it proposes a two-stage divide-and-conquer framework to address latent macroeconomic risks, enabling the estimation of cross-commodity heterogeneous sensitivities. By integrating defactored instrumental variable estimation, principal component analysis, and high-dimensional variable selection, the approach precisely quantifies risk intensity indices at each layer. Empirical findings reveal that market-level risk constitutes the largest and most highly concentrated share, while the risk composition varies significantly across individual commodities. Ultimately, this framework provides investors and policymakers with a systematic basis for risk diagnostics.
π Abstract
We study the anatomy of commodity risk by distinguishing micro, market-level, and economy-wide sources. We develop a two-stage "divide-and-conquer" framework that allows sensitivities to these risk sources to vary across commodities while treating economy-wide risk as latent. The first stage uses defactored instrumental-variable estimation to recover commodity-specific sensitivities to micro and market conditions. The second combines principal components with high-dimensional variable selection to identify an observable representation of macro-financial risk. We then construct Risk Intensity Indices (RIIs), which combine estimated sensitivities with prevailing risk conditions to quantify the relative importance of each risk source on a common scale. Market risk is the largest component on average, accounting for about two fifths of total risk intensity and more than half for energy commodities. Risk intensity is also highly concentrated across individual commodities: the top 20% account for approximately half of micro and market risk intensity, whereas macro risk is more broadly dispersed. The composition of risk varies substantially across sectors and over time, with market risk becoming particularly prominent during episodes of commodity-market stress. Micro and market RIIs also contain information about future volatility and absolute returns. These findings provide investors, risk managers, and policymakers with a diagnostic of where commodity risk is concentrated, which risk layers are most important, and how their importance changes over time. More broadly, our divide-and-conquer framework provides a flexible approach to decomposing layered risk in settings where common risk is latent.