## Abstract We consider a new time series model that can describe long memory and nonlinearity simultaneously and can be used to assess an extensive evaluation of the out‐of‐sample forecasting performance of the nonlinear long‐memory model. Upon fitting it to the real exchange rate, we find that a
Assessing the forecasting accuracy of alternative nominal exchange rate models: the case of long memory
✍ Scribed by David Karemera; Benjamin J. C. Kim
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 132 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0277-6693
- DOI
- 10.1002/for.994
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✦ Synopsis
This paper presents an autoregressive fractionally integrated moving-average (ARFIMA) model of nominal exchange rates and compares its forecasting capability with the monetary structural models and the random walk model. Monthly observations are used for Canada, France, Germany, Italy, Japan and the United Kingdom for the period of April 1973 through December 1998. The estimation method is Sowell's (1992) exact maximum likelihood estimation. The forecasting accuracy of the long-memory model is formally compared to the random walk and the monetary models, using the recently developed Harvey, Leybourne and Newbold (1997) test statistics. The results show that the long-memory model is more efficient than the random walk model in stepsahead forecasts beyond 1 month for most currencies and more efficient than the monetary models in multi-step-ahead forecasts. This new finding strongly suggests that the long-memory model of nominal exchange rates be studied as a viable alternative to the conventional models.
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