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International Trade and Finance



                  Notes          Interpretations
                                 Various explanations of the results are suggested by the existing literature and by readers of earlier
                                 versions of this paper. Some  of these explanations are discussed now. No explanation is necessarily
                                 complete, and they are not mutually exclusive. Moreover, generous readers of earlier drafts are not
                                 responsible for my paraphrasing of their comments.
                                 An inefficient foreign exchange market
                                 The interpretation of the results above is based on the hypothesis that the assessment of E(S t + 1  – S ) in
                                                                                                              t
                                 F – S  is efficient or rational. An alternative hypothesis is that the negative slope coefficients in the
                                  t
                                     t
                                 regressions of S   – S  on F – S  reflect assessments of E(S   S )that are consistently perverse realtive
                                              t + 1  t  t   t                 t + 1  t
                                 to the true expected value of the change in the spot rate. The large positive coefficients in the F  – S t +
                                                                                                            t
                                   regressions are then a simple consequence of the complementarity of the F  – S  and S   – S
                                 1                                                              t   t + 1   t + 1  t
                                 regressions rather than manifestation of movement in rationally determined premiums. Under this
                                 interpretation, the similarity of the regression results for the two subperiods indicates that market
                                 irrationality in forecasting exchange rates is not cured by continued experience with flexible exchange
                                 rates.
                                 Government intervention in the spot exchange market
                                 A kind of ‘market inefficiency’, suggested by Richard Roll, can result from government intervention
                                 in the spot foreign exchange market. For example, suppose forward rates are determined by the
                                 interest rate parity condition (7) and interest rates in different countries rationally reflect their expected
                                 inflation rates. Left to the open market forces suggested by purchasing power parity, spot exchange
                                 rates would tend to move in the direction implied by the forward-spot differential F  – S . Government
                                                                                                   t
                                                                                                     t
                                 logic and obstinacy, however, may be inversely related to natural market forces. Governments may
                                 support their currencies more vigorously (through open market operations, trade restrictions, and
                                 restrictions on capital flows) the stronger are the market forces, like differential expected inflation rates,
                                 which indicate that the currency should depreciate. They may try to move back toward a free market
                                 equilibrium by changing the direction of the underlying factors pressuring the exchange rate, like
                                 differential inflation rates, rather than by letting adjustments take place through the exchange rate.
                                 The doomsday theory
                                 Michael Mussa suggests that there are episodes, often brief, during which the distribution of anticipated
                                 changes in exchange rates is highly skewed. For example, market participants may assess a small
                                 probability that a country will change its monetary policy so that its inflation rate will rise dramatically
                                 relative to other countries. The result may be a highly skewed distribution of anticipated inflation
                                 rates, which in turn increases interest rate differentials and forward-spot exchange rate differentials
                                 between this country and other countries. Since the phenomenon centers on skewness that exists for
                                 brief periods, the ex post drawings from the distributions of anticipated inflation rates and changes in
                                 exchange rates are likely to be below the ex ante means. This creates negative sample correlations
                                 between changes in exchange rates and forward-spot differentials which would not be observed if
                                 the skewed distributions were sampled over longer periods.
                                 Stochastic deviations from purchasing power parity
                                 Stockman (1980) and Lucas (1982) develop international models in which shocks to real activity
                                 work in part through money demand functions to drive changes in inflation and exchange rates.
                                 Fama (1982) also argues that through the workings of a standard money demand function and inertia
                                 in money supply, variation in anticipated real activity in the U.S. leads to variation in expected inflation
                                 of the opposite sign. Fama and Gibbons (1982) argue that expected real returns on U.S. nominal
                                 bonds are also driven by and move in the same direction as anticipated real activity. With a somewhat
                                 different story in which monetary shocks cause changes in real variables, Tobin (1965) and Mundell
                                 (1963) likewise conclude that the expected real and expected inflation components of nominal interest
                                 rates are negatively correlated.




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