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The futures price of a commodity in fixed supply
Institution:1. Department of Artificial Intelligence Methods and Applied Mathematics, Faculty of Computer Science and Information Technology, West Pomeranian University of Technology in Szczecin ul. Żołnierska 49, 71-210 Szczecin, Poland;1. Faculty of Economy and Management, University of Bialystok, Poland;2. Faculty of Computer Science, Bialystok University of Technology, Poland;1. Department of Computer Science and Systems Engineering, University of Zaragoza, Zaragoza, Spain;2. Istituto di Scienza e Tecnologie dell’Informazione, Consiglio Nazionale delle Ricerche (ISTI-CNR), Pisa, Italy
Abstract:This letter shows that in a general equilibrium model of homogeneous population with production risk, the futures price of a commodity which is in fixed supply is always below the expected futures spot price (e.g., normal backwardation). It also shows that the difference between the futures price and the expected spot price increases as the representative individual's risk aversion rises. An important application of this model is to the housing market since houses are in fixed supply in the short run and buying a house is like holding a long position in a forward contract. Therefore, if population is homogeneous, houses are not a good consumption hedge and the prices of houses are below their expected rental prices.
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