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Can a Lucas model with habit generate realistic conditional volatility in exchange rate returns?

  • Jingyi Liu
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    In this paper, we attempt to give a theoretical underpinning to the well established empirical stylized fact that asset returns in general and the spot FOREX returns in particular display predictable volatility characteristics. Adopting Moore and Roche's habit persistence version of Lucas model we find that both the innovation in the spot FOREX return and the FOREX return itself follow "ARCH" style processes. Using the impulse response functions (IRFs) we show that the baseline simulated FOREX series has "ARCH" properties in the quarterly frequency that match well the "ARCH" properties of the empirical monthly estimations in that when we scale the x-axis to synchronize the monthly and quarterly responses we find similar impulse responses to one unit shock in variance. The IRFs for the ARCH processes we estimate "look the same" with an approximately monotonic decreasing fashion. The Lucas two-country monetary model with habit can generate realistic conditional volatility in spot FOREX return.

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    File URL: http://www.econ.ed.ac.uk/papers/id181_esedps.pdf
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    Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 181.

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    Length: 40
    Date of creation: 12 Feb 2008
    Date of revision:
    Handle: RePEc:edn:esedps:181
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    1. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    2. Morten O. Ravn & Stephanie Schmitt-Grohe, 2004. "Deep Habits," 2004 Meeting Papers 208, Society for Economic Dynamics.
    3. Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
    4. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
    5. Grant McQueen, 2004. "Whence GARCH? A Preference-Based Explanation for Conditional Volatility," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 915-949.
    6. Maurice J. Roche & Michael J. Moore, 2007. "Solving Exchange Rate Puzzles with neither Sticky Prices nor Trade Costs," Economics, Finance and Accounting Department Working Paper Series n1750507, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
    7. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
    8. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
    9. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
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