Exchange Rates
Forward and spot

An old debate in international monetary economics is whether the forward exchange rate contains useful information about the future path of the spot exchange rate. If the expected change in the exchange rate equals the interest differential between the currencies, and the difference between the spot and forward exchange rates `the forward premium' equals the interest rate differential, the equilibrium forward exchange rate established now in an efficient market for delivery of foreign exchange n periods ahead should be the best available predictor of the spot exchange rate realized n periods later. Numerous studies show, however, that the forward rate is not the best predictor of the future spot rate; indeed it tends to mispredict the direction of subsequent spot rate changes. Some authors attribute this rejection of the `simple efficiency hypothesis' to a risk premium and others to inefficient information processing by market participants, but studies using survey data on expected exchange rate changes indicate that the risk premium cannot fully explain this phenomenon. Many economists therefore dismiss the forward rate as containing little information concerning subsequent spot rate movements.

In Discussion Paper No. 773, Richard Clarida and Research Fellow Mark Taylor sidestep the failure of the simple efficiency hypothesis and develop a simple theoretical model of the relationship of spot and forward rates with testable implications. They successfully test the hypothesis that forward premiums are linearly independent stationary processes which can forecast the spot exchange rate on weekly dollar-DM and dollar-sterling exchange rate data. They apply out-of-sample dynamic forecasting procedures to a multivariate system consisting of lagged forward premiums and spot rate changes to show that their model can outperform a random walk forecast by as much as 90% (in terms of forecast variance around the true value) for forecasts one year ahead. Clarida and Taylor therefore conclude that forward exchange rates do contain useful information on the future course of spot exchange rates.

The Term Structure of Forward Exchange Premia and The Forecastability of Spot Exchange Rates: Correcting the Errors

Discussion Paper No. 773, March 1993 (IM)