We investigate the effect of opening a forward or futures market on spot price or real exchange rate variability in a two-agent, two-good, two-state general equilibrium model. We derive a linear approximation to the change in spot price variability which results from opening such a market. This is shown to depend upon such familiar parameters as substitution elasticities, marginal propensities to consume, and degrees of risk aversion. Our analysis highlights the importance of the income transfers which occur as a result of capital gains and losses in the forward market. We find that there is some presumption in favor of the view that opening a forward market reduces spot price variability. The presumption is strengthened the less risk averse are agents. THE CENTRAL ISSUE ADDRESSED in this paper has long been a subject for debate, both practical and academic. It concerns the effect of forward and futures trading on the stability of spot prices in the markets for both foreign exchange and for commodities. In the real world, this issue is of obvious importance; some active futures markets have been closed on the grounds of their alleged destabilizing effects on prices.2 Thus it is no surprise that this topic has been the subject of extensive empirical research.3 Recently, moreover, a number of theoretical studies on this topic have appeared (see Peck (1976), Turnovsky (1979, 1983), Sarris (1980), Kawai (1983a, 1983b, 1984), and Turnovsky and Campbell (1985)). The existing studies without exception adopt a partial equilibrium approach. As a general consequence of this, therefore, these studies ignore completely any income effects generated by the creation of forward and futures markets. The present paper, in contrast, takes a general equilibrium approach in order to analyze the question in the context of markets where income effects can be expected to play a significant role. We shall argue in Section 2 that forward and futures transactions in foreign exchange and in agricultural output may be thought of as dealing in futures contracts for broad commodity aggregates; income effects which appear in the spot markets for such aggregates affect futures transactions significantly. In order to analyze such general equilibrium effects, we develop a rational expectations model with futures and spot markets. The effect of opening a forward or futures market is isolated by comparing equilibria in our futures-spot market model when the futures market is open and when it is closed. The difference
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