A Simple Model of Endogenous Agricultural Commodity Price Fluctuations with Storage

A debate has been raging for centuries regarding the effects of inter-annual storage on commodity prices. Most analysts consider storage to function as a price stabilizer, while others place it at the core of an explanation of intriguing features of commodity price series, such as skewed distributions. Most studies have been developed in the context of the theory of competitive storage where random shocks affect supply or demand. Recently, the endogenous chaotic behavior of markets has become another possible hypothesis regarding the origin of commodity price fluctuations. We develop a nonlinear cobweb model with intra- and inter-annual storage, risk averse agents and adaptive expectations. Like the theory of competitive storage, this nonlinear cobweb model with storage can reproduce some of the stylized facts of agricultural commodity prices (autocorrelation of first rank, low kurtosis and skewness). In addition, the effects of storage on price variation are mixed. In the presence of inter-annual storage, chaotic price series show less variation compared to a situation without inter-annual storage but we find that storage contributes to the endogenous volatility of prices by making chaotic dynamics more likely.

[1]  J. Boussard,et al.  Endogenous risk and long run effects of liberalization in a global analysis framework , 2006 .

[2]  Mordecai Ezekiel,et al.  The Cobweb Theorem , 2010 .

[3]  Joep Sonnemans,et al.  UvA-DARE (Digital Academic Repository) Price stability and volatility in markets with positive and negative expectations feedback: an experimental investigation , 2007 .

[4]  Iasson Karafyllis,et al.  Price stabilization using buffer stocks , 2008 .

[5]  J. B. Williams Speculation and the Carryover , 1936 .

[6]  R. Jensen Agricultural Volatility and Investments in Children , 2000 .

[7]  Brian D. Wright,et al.  Is the storage model a 'closed' empirical issue? The empirical ability of the storage model to explain price dynamics. , 2006 .

[8]  W. Tomek,et al.  Agricultural Product Prices , 1972 .

[9]  Michael C. Mackey,et al.  Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors , 1989 .

[10]  Competitive Pricing and Storage under Uncertainty with an Application to the U.S. Soybean Market , 1984 .

[11]  R. J. Hauser,et al.  Hedging with Options under Variance Uncertainty: An Illustration of Pricing New-Crop Soybeans , 1987 .

[12]  On Storage Behavior Under Imperfect Competition, with Application to the American Cheese Market , 2008 .

[13]  A. Deaton,et al.  Competitive Storage and Commodity Price Dynamics , 1996, Journal of Political Economy.

[14]  R. Fogel Second Thoughts on the European Escape from Hunger: Famines, Price Elasticities, Entitlements, Chronic Malnutrition, and Mortality Rates , 1989 .

[15]  A. Sarris,et al.  Agricultural commodity markets and trade : new approaches to analyzing market structure and instability , 2006 .

[16]  H. P. Binswanger Attitudes toward risk: Experimental measurement in rural india , 1980 .

[17]  Brian D. Wright,et al.  The Economic Role of Commodity Storage , 1982 .

[18]  Guy Laroque,et al.  On the Behaviour of Commodity Prices , 1992 .

[19]  Commodity Prices Revisited , 2000, Agricultural and Resource Economics Review.

[20]  Cars H. Hommes,et al.  Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand , 1994 .

[21]  Jean-Paul Chavas,et al.  Market Instability and Nonlinear Dynamics , 1993 .

[22]  Mario J. Miranda,et al.  Pricing and Storage of Field Crops: A Quarterly Model Applied to Soybeans , 1987 .

[23]  R. Myers On the costs of food price fluctuations in low-income countries , 2006 .

[24]  What explains price volatility changes in commodity markets? Answers from the world palm-oil market , 2001 .

[25]  Cars H. Hommes,et al.  On the consistency of backward-looking expectations: The case of the cobweb , 1998 .

[26]  Brian D. Wright,et al.  The Welfare Effects of the Introduction of Storage , 1984 .

[27]  B. Gardner Optimal stockpiling of grain , 1979 .

[29]  W. Cochrane,et al.  Farm prices, myth and reality , 1958 .

[30]  J. Chavas On information and market dynamics: The case of the U.S. beef market , 2000 .

[31]  Guy Laroque,et al.  On the Behavior of Commodity Prices , 1990 .

[32]  J. Muth Rational Expectations and the Theory of Price Movements , 1961 .

[33]  R. Gustafson Carryover levels for grains: A method for determining amounts that are optimal under specified conditions , 1958 .

[34]  Marc Nerlove,et al.  Adaptive Expectations and Cobweb Phenomena , 1958 .

[35]  Jack Schechtman,et al.  A Simple Competitive Model with Production and Storage , 1983 .

[36]  Joseph E. Stiglitz,et al.  The Theory of Commodity Price Stabilization: A Study in the Economics of Risk. , 1983 .

[37]  C. Werndl What Are the New Implications of Chaos for Unpredictability? , 2009, The British Journal for the Philosophy of Science.

[38]  J. Yorke,et al.  Chaos: An Introduction to Dynamical Systems , 1997 .

[39]  Bärbel Finkenstädt,et al.  Chaotic dynamics in agricultural markets , 1992, Ann. Oper. Res..

[40]  Karlheinz Spitz,et al.  FIGURE 3.3 , 2008 .

[41]  W. Brock,et al.  Adaptive rational equilibrium with forward looking agents , 2006 .

[42]  Miles S. Kimball Precautionary Saving in the Small and in the Large , 1989 .

[43]  J. Boussard When risk generates chaos , 1996 .