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Cointegration and Forward and Spot Exchange Rate Regressions

By Eric Zivot


In this paper we investigate in detail the relationship between models of cointegration between the current spot exchange rate, st, and the current forward rate, ft, and models of cointegration between the future spot rate, st+1, and ft and the implications of this relationship for tests of the forward rate unbiasedness hypothesis (FRUH). We argue that simple models of cointegration between st and ft more easily capture the stylized facts of typical exchange rate data than simple models of cointegration between st+1 and ft and so serve as a natural starting point for the analysis of exchange rate behavior. We show that simple models of cointegration between st and ft imply rather complicated models of cointegration between st+1 and ft. As a result, standard methods are often not appropriate for modeling the cointegrated behavior of (st+1, ft)' and we show that the use of such methods can lead to erroneous inferences regarding the FRUH.cointegration, exchange rates, forward rate unbiasedness, weak exogeneity

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  1. (1976). 3.The data are end of month, average of bid and ask rates. All data begin in
  2. (1994). 7.This result has been observed by Crowder
  3. (1993). 8.The Stock-Watson dynamic OLS and GLS estimators have been used to estimate the cointegrating vector in the levels regression (3) by Evans and Lewis
  4. (1995). A re-examination of the fragility of evidence from cointegration-based tests of foreign exchange
  5. (1993). A simple estimator of cointegrating vectors in higher order integrated systems,”
  6. (1995). and Zivot
  7. (1994). Barkoulas and Baum
  8. (1992). Canonical cointegrating regressions,”
  9. (1993). Co-integration, error correction, and the econometric analysis of non-stationary data, Advanced texts in econometrics, Oxford university press,
  10. (1987). Cointegration and error correction: representation, estimation and testing,”
  11. (1992). Cointegration in partial systems and the efficiency of single equation analysis,”
  12. (1998). Common stochastic trends between forward and spot exchange rates,”
  13. (1989). Common stochastic trends in a system of exchange rates,”
  14. (1995). Do long-term swings in the dollar affect estimates of the risk premia?”
  15. (1989). Econometric tests of rationality and market efficiency,”
  16. (1989). Empirical assessment of exchange rate risk premiums,” in
  17. (1995). Eric
  18. (1991). Estimating long-run economic equilibria,”
  19. (1995). Exchange rate economics, Cambridge Surveys of Economic Literature,
  20. (1980). Exchange rates, prices and money: lessons from the 1920s,”
  21. (1996). Exogeneity and forward rate unbiasedness,”
  22. (1993). Exogeneity in error correction models,
  23. (1994). Foreign exchange market efficiency and common stochastic trends,”
  24. (1984). Forward and spot exchange rates,”
  25. (1989). Forward discount bias: is it an exchange risk premium?,”
  26. (1994). Gardeazabal and Kamil Yilmaz
  27. (1995). Likelihood based inference in cointegrated vector autoregressive models,
  28. (1998). Long-run PPP may not hold after all,”
  29. (1996). Neil Kellard and Christine Ennew
  30. (1993). On biases in the measurement of foreign exchange risk premiums,”
  31. (1992). On cointegration and tests of forward market unbiasedness,”
  32. (1979). On the efficiency of markets for foreign exchange,” in
  33. (1991). Optimal inference in cointegrated systems,”
  34. (1991). Pitfalls and opportunities: What macroeconomists should know about unit roots and cointegration,” NBER Macroeconomics Annual.
  35. (1990). Real and nominal exchange rates in the long run: an empirical investigation,”
  36. (1998). Some answers to puzzles in testing efficiency of the foreign exchange
  37. (1974). Spurious regressions in econometrics,”
  38. (1990). Statistical inference in instrumental variables regression with I(1) processes,”
  39. (1996). Temporary cointegration with an application to interest rate parity,”
  40. (1994). Testing exogeneity,
  41. (1995). Testing for cointegration when some of the cointegrating vectors are prespecified,”
  42. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root?,”
  43. (1991). Testing the unbiased forward rate hypothesis: Evidence on unit roots, co-integration, and stochastic coefficients,”
  44. (1981). The ‘speculative efficiency’ hypothesis,”
  45. (1996). The forward discount anomaly and the risk premium: A survey of recent evidence,”
  46. (1994). The long memory of the forward premium,”
  47. (1992). The power of cointegration tests,”
  48. (1997). The term structure of forward exchange premiums and the forecastability of spot exchange rates: correcting the errors,” The Review of
  49. (1995). The unbiased forward rate hypothesis re-examined,”
  50. (1993). Time series analysis,
  51. (1993). Trends in excess returns in currency and bond markets,”
  52. (1997). Understanding spot and forward exchange rate regressions,”
  53. (1996). Unit root tests and excess returns,” Working Paper 96-10, Bank of Canada,
  54. (1995). VARs and Cointegration,” chapter 47

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