Futures Prices in a Production Economy with Investment Constraints

37 Pages Posted: 17 Feb 2004

See all articles by Leonid Kogan

Leonid Kogan

Massachusetts Institute of Technology (MIT) - Sloan School of Management; National Bureau of Economic Research (NBER)

Dmitry Livdan

University of California, Berkeley

Amir Yaron

University of Pennsylvania -- Wharton School of Business; National Bureau of Economic Research (NBER)

Multiple version iconThere are 2 versions of this paper

Date Written: February 25, 2005

Abstract

We document a new stylized fact regarding the term-structure of futures volatility. We show that the relationship between the volatility of futures prices and the slope of the term structure of prices is non-monotone and has a V-shape. This aspect of the data cannot be generated by basic models that emphasize storage while this fact is consistent with models that emphasize investment constraints or, more generally, time-varying elasticity of supply. We develop an equilibrium model in which futures prices are determined endogenously in a production economy in which investment is both irreversible and is capacity constrained. Investment constraints affect firms investment decisions, which in turn determine the dynamic properties of their output and consequently imply that the elasticity of supply of the commodity changes over time. Since demand shocks must be absorbed either by changes in prices, or by changes in supply, time-varying supply elasticity results in time-varying volatility of futures prices. Calibrating this model, we show it is quantitatively consistent with the aforementioned V-shape term-structure of futures prices.

Keywords: Futures, investment contraints, production economy, SMM

JEL Classification: G13, E22, E23, C5, C14

Suggested Citation

Kogan, Leonid and Livdan, Dmitry and Yaron, Amir, Futures Prices in a Production Economy with Investment Constraints (February 25, 2005). Available at SSRN: https://ssrn.com/abstract=502802 or http://dx.doi.org/10.2139/ssrn.502802

Leonid Kogan (Contact Author)

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Dmitry Livdan

University of California, Berkeley ( email )

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Amir Yaron

University of Pennsylvania -- Wharton School of Business ( email )

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