The purpose of this paper is to construct a simple intertemporal model of investment and international trade. The bulk of trade theory explores the behavior of an economy in a single period framework, and the traditional trade models assume that the agents in the economy save and invest nothing. The bulk of trade theory is also unable to analyze problems concerning the current account imbalance of an economy, since the traditional models assume that the economies never experience an imbalance in their current accounts. We remedy these shortcomings. We extend the standard, single-period two sector model of production to a two-period setting, while explicitly introducing endogenous saving, endogenous investment and international debt. In addition, we focus on some trade theorems traditionally derived from single period models. Bruno [1], Marion [4], and Marion and Svensson [5] have indeed employed two period models to study the effects of oil price changes on the current account of an open economy. The emphasis of their work, however, is quite different, and their models are not readily comparable with the standard two-sector general equilibrium model, largely because they assume perfect international mobility of capital. Dornbusch [2] and Svensson and Razin [7] have also utilized intertemporal models to examine the effects of terms of trade changes on the current accunt. Their emphasis also is quite different from that of the present paper. Further, Dornbusch, and Svensson and Razin focus more on the intertemporal consumption smoothing, and utilize a relatively simplified production structure of the economy. We simplify the consumption side of the economy by introducing proportional consumption (and hence, saving) functions, and develop a more elaborate intertemporal production structure.
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