Robert Staiger & Alan Sykes on the the theoretical relationship between exchange rate policy and international trade:
[I]t is often asserted that China’s currency policies have real effects that are equivalent to an export subsidy. In fact, however, if prices are flexible the effect of exchange rate intervention parallels that of a uniform import tariff and export subsidy, which will have no real effect on trade, an implication of Lerner’s symmetry theorem. With sticky prices, the real effects of exchange rate intervention and the translation of that intervention into trade-policy equivalents depend critically on how traded goods and services are priced.