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

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Author Info
Jingyi Liu ()
Abstract

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 .nd 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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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
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Handle: RePEc:edn:esedps:181

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Related research
Keywords: : asset pricing; CCAPM; conditional volatility; GARCH models; foreign exchange; habit persistence;

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  1. 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. [Downloadable!] (restricted)
  2. Morten Ravn & Stephanie Schmitt-Grohe & Martin Uribe, 2006. "Deep Habits," Review of Economic Studies, Blackwell Publishing, vol. 73(1), pages 195-218, 01. [Downloadable!] (restricted)
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  3. Engle, Robert F & Ng, Victor K, 1993. " Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-78, December. [Downloadable!] (restricted)
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  4. Abel, A.B., 1990. "Asset Prices Under Habit Formation And Catching Up With The Joneses," Weiss Center Working Papers 1-90, Wharton School - Weiss Center for International Financial Research.
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  5. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  6. Uribe, Martin, 2002. "The price-consumption puzzle of currency pegs," Journal of Monetary Economics, Elsevier, vol. 49(3), pages 533-569, April. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Michele Boldrin & Lawrence J. Christiano & 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. [Downloadable!] (restricted)
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  9. 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. [Downloadable!]
  10. 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.
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  11. Moore, Michael J. & Roche, Maurice J., 2002. "Less of a puzzle: a new look at the forward forex market," Journal of International Economics, Elsevier, vol. 58(2), pages 387-411, December. [Downloadable!] (restricted)
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