Commodity betas with mean reverting output prices

This paper provides a theoretical derivation of commodity beta (stock price sensitivity to commodity price) using a contingent-claim model. The model incorporates operating leverage, financial leverage, costly financial distress, and mean reverting commodity prices; and highlights the important role played by the speed of reversion of the commodity price. It is used to identify theoretically the main determinants of commodity beta. Commodity beta is predicted to be an increasing function of the operating and financial leverage of the firm, and a decreasing function of the company’s tax rate and the level, volatility and speed of reversion of the commodity price. Empirical tests with a sample of gold mining firms provide support for these predictions, particularly the new implications of the model (the effect of the commodity price’s speed of reversion and the company’s tax rate).