A model that permits intertemporal trade between two countries
1. Consider a model that permits intertemporal trade between two countries. Each country can
produce two tradable goods (C and W) and a non-tradable capital good (K) in each period. Each
production activity uses L and K; the amount of K in each period is determined by its production in
previous periods. In this model, is it possible for one country to have a comparative advantage in
the production of both of the traded goods, C and W, in a given period? How does your answer
differ from the potential trade pattern based upon comparative advantage in the case of the one-
period, two-factor, two-output, Heckscher-Ohlin model? Carefully explain.
2. "When German unity arrived last October, it created visions of an economic colossus, with the
nation's export-oriented industry dominating Europe from the Atlantic to the Urals. Six months
later, Germany recorded its first monthly trade deficit in nearly a decade. German officials called
Monday's release of figures showing a trade deficit of $790 million in April the beginning of a
trend that will see Germany importing far more goods than it exports. Otmar Issing, chief
economist and board member of the Bundesbank, Gennany's powerful central bank, said today that
the April trade deficit was a ‘highly welcome course of events' and would contribute to price
stability at home and help spur growth." [New York Times, June 12, 1991, p. C]
(a) According to this article, unification has turned Germany fi'om a capital exporter to a capital
importer. Carefully explain why the emergence of a trade deficit implies Germany is
importing capital. In particular, why doesn‘t a trade deficit (or net import of goods) imply a
net export of capital? Explain how real capital can be indirectly transferred between
countries when there is only trade in final consumption commodities.
(b) Under what initial conditions would such a transfer of capital between countries occur? How
does your answer depend upon whether there is secure private ownership of the returns from
real capital? Carefiilly explain.
3. Consider a two-country trading-partner relationship (e.g., the US. and Japan in the immediate
post-World War period) in which one country (the U.S.) is capital rich and the other (Japan) is
capital poor. Suppose both countries can produce capital (K) and a homogeneous consummion
good (C) in each of two periods, and that both goods are produced from capital and labor. The
capital produced in a given period is assumed to be available for employment in production
activities in the period after it is produced. Assume further that capital cannot be transported
internationally and thus, cannot be directly exported while units of C can be traded internationally.
(3) Suppose that the relatively capital-abundant country (the US.) is the low marginal-cost
producer of current consumption goods (Co), while the capital-poor country (Japan) is the
relative low marginal-cost producer of capital (K 1). Prior to trade, which country would have
a higher real interest rate? Assuming the two countries can engage in mutually beneficial
intertemporal trade, what is implied about the current-period balance of trade accounts for the
US. and Japan? Carefiilly demonstrate and explain.
(b) Carefiilly explain how capital can be indirectly transferred from one country to the other
without the actual physical movement of capital.
(c) What will happen to the real factor payments to labor and capital over time in Japan?
Carefully explain.