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Adaptive learning in an expectational difference equation with several lags: selecting among learnable REE

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  • Bask, Mikael

Abstract

It is demonstrated in this paper that adaptive learning in least squares sense may be incapable to reduce, in a satisfactory way, the number of attainable equilibria in a rational expectations model.The model investigated, as an illustration, is the monetary approach to exchange rate determination that is augmented with technical trading in the currency market in the form of moving averages since it is the most commonly used technique according to questionnaire surveys.Because of technical trading in foreign exchange, the current exchange rate is dependent on jmax lags of the exchange rate, and the model has, therefore jmax + 1 nonbubble rational expectations equilibria (REE), where most of them are adaptively learnable.However, by assuming that a solution to the model should have a solution to a nested model as its limit, it is possible to single out a unique equilibrium among the adaptively learnable equilibria that is economically meaningful.

Suggested Citation

  • Bask, Mikael, 2006. "Adaptive learning in an expectational difference equation with several lags: selecting among learnable REE," Bank of Finland Research Discussion Papers 7/2006, Bank of Finland.
    • Handle: RePEc:zbw:bofrdp:rdp2006_007
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    References listed on IDEAS

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    1. repec:zbw:bofrdp:2006_006 is not listed on IDEAS
    2. De Grauwe, Paul & Markiewicz, Agnieszka, 2013. "Learning to forecast the exchange rate: Two competing approaches," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 42-76.
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    10. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
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    13. Menkhoff, Lukas, 1997. "Examining the Use of Technical Currency Analysis," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(4), pages 307-318, October.
    14. Taylor, Mark P. & Allen, Helen, 1992. "The use of technical analysis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 11(3), pages 304-314, June.
    15. Bask, Mikael, 2006. "Announcement effects on exchange rate movements: continuity as a selection criterion among the REE," Bank of Finland Research Discussion Papers 6/2006, Bank of Finland.
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    Cited by:

    1. Bask, Mikael, 2006. "Announcement effects on exchange rate movements : continuity as a selection criterion among the REE," Research Discussion Papers 6/2006, Bank of Finland.
    2. repec:zbw:bofrdp:2006_015 is not listed on IDEAS
    3. Bask, Mikael, 2009. "Instrument rules in monetary policy under heterogeneity in currency trade," Journal of Economics and Business, Elsevier, vol. 61(2), pages 97-111.
    4. repec:zbw:bofrdp:2006_006 is not listed on IDEAS
    5. Jokipii, Terhi & Lucey, Brian, 2007. "Contagion and interdependence: Measuring CEE banking sector co-movements," Economic Systems, Elsevier, vol. 31(1), pages 71-96, March.
    6. Mikael Bask, 2009. "Announcement effects on exchange rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 14(1), pages 64-84.

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    More about this item

    Keywords

    asset pricing; heterogenous agents; least squares learnability; rational expectations equilibria and technical trading;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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