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The out-of-sample forecasting performance of non-linear models of real exchange rate behaviour: The case of the South African Rand

  • Goodness C. Aye


    (Department of Economics, University of Pretoria)

  • Mehmet Balcilar


    (Department of Economics, Eastern Mediterranean University, Famagusta, North Cyprus,via Mersin 10, Turkey)

  • Adel Bosch


    (Department of Economics, University of Pretoria)

  • Rangan Gupta


    (Department of Economics, University of Pretoria)

  • Francois Stofberg


    (Department of Economics, University of Pretoria)

This paper analyses the out-of-sample forecasting performance of non-linear vs. linear models for the South African Rand against the United States dollar and the British Pound, in real terms. We compare the forecasting performance of point, interval and density forecasts for non-linear Band- TAR and ESTAR models to linear autoregressive models. Our data spans from 1970:01 to 2012:07, and we found that there are no significant gains from using either the Band-TAR or ESTAR non-linear models, compared to the linear AR model in terms of out-of-sample forecasting performance, especially at short horizons. We draw similar conclusions to other literature, and find that for the South African rand against the United States dollar and British pound, non-linearities are too weak for Band-TAR and ESTAR models to estimate.

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Paper provided by University of Pretoria, Department of Economics in its series Working Papers with number 201304.

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Length: 26 pages
Date of creation: Jan 2013
Date of revision:
Handle: RePEc:pre:wpaper:201304
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  1. Lumengo Bonga-Bonga, 2008. "Modelling the Rand-Dollar Future Spot Rates: The Kalman Filter Approach," The African Finance Journal, Africagrowth Institute, vol. 10(2), pages 60-75.
  2. Hendrik Kaufmann & Florian Heinen & Philipp Sibbertsen, 2014. "The Dynamics Of Real Exchange Rates: A Reconsideration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(5), pages 758-773, 08.
  3. Christoffersen, Peter F, 1998. "Evaluating Interval Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 841-62, November.
  4. Siliverstovs, B. & van Dijk, D.J.C., 2003. "Forecasting industrial production with linear, nonlinear, and structural change models," Econometric Institute Research Papers EI 2003-16, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  5. Francis X. Diebold & James M. Nason, 1989. "Nonparametric exchange rate prediction?," Finance and Economics Discussion Series 81, Board of Governors of the Federal Reserve System (U.S.).
  6. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
  7. Harvey, David & Leybourne, Stephen & Newbold, Paul, 1997. "Testing the equality of prediction mean squared errors," International Journal of Forecasting, Elsevier, vol. 13(2), pages 281-291, June.
  8. Lumengo Bonga-Bonga, 2009. "Forward Exchange Rate Puzzle: Joining the Missing Pieces in the Rand-US Dollar Exchange Market," Working Papers 122, Economic Research Southern Africa.
  9. Valentina Corradi & Norman R. Swanson, 2003. "Bootstrap Conditional Distribution Tests In the Presence of Dynamic Misspecification," Departmental Working Papers 200311, Rutgers University, Department of Economics.
  10. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-44, January.
  11. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-42, November.
  12. Rangan Gupta & Alain Kabundi, 2010. "Forecasting macroeconomic variables in a small open economy: a comparison between small- and large-scale models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 29(1-2), pages 168-185.
  13. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  14. Mtonga, Elvis, 2006. "The real exchange rate of the rand and competitiveness of South Africa's trade," MPRA Paper 1192, University Library of Munich, Germany.
  15. Sami Alpanda & Kevin Kotzé & Geoffrey Woglom, 2011. "Forecasting Performance Of An Estimated Dsge Model For The South African Economy," South African Journal of Economics, Economic Society of South Africa, vol. 79(1), pages 50-67, 03.
  16. Riane de Bruyn & Rangan Gupta & Renee van Eyden, 2013. "Forecasting The Rand-Dollar And Rand-Pound Exchange Rates Using Dynamic Model Averaging," Working Papers 201307, University of Pretoria, Department of Economics.
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