IDEAS home Printed from https://ideas.repec.org/p/edn/esedps/181.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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 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.

Suggested Citation

  • Jingyi Liu, 2008. "Can a Lucas model with habit generate realistic conditional volatility in exchange rate returns?," Edinburgh School of Economics Discussion Paper Series 181, Edinburgh School of Economics, University of Edinburgh.
    • Handle: RePEc:edn:esedps:181
    as

    Download full text from publisher

    File URL: http://www.econ.ed.ac.uk/papers/id181_esedps.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. 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.
    3. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," The Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
    4. 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.
    5. Pagan, Adrian R. & Schwert, G. William, 1990. "Alternative models for conditional stock volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 267-290.
    6. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    7. Morten Ravn & Stephanie Schmitt-Grohé & Martín Uribe, 2006. "Deep Habits," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 195-218.
    8. Moore, Michael J. & Roche, Maurice J., 2010. "Solving exchange rate puzzles with neither sticky prices nor trade costs," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1151-1170, October.
    9. 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.
    10. 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 519-543, June.
    11. 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.
    12. 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.
    13. 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 1749-1778, December.
    14. Grant McQueen, 2004. "Whence GARCH? A Preference-Based Explanation for Conditional Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 915-949.
    15. Uribe, Martin, 2002. "The price-consumption puzzle of currency pegs," Journal of Monetary Economics, Elsevier, vol. 49(3), pages 533-569, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Jingyi, 2008. "Can a Lucas model with habit generate realistic conditional volatility in exchange rate returns?," SIRE Discussion Papers 2008-07, Scottish Institute for Research in Economics (SIRE).
    2. Wei-Bin Zhang, 2013. "Dynamic Interactions among Growth, Environmental Change, Habit Formation, and Preference Change," The International Journal of Economic Behavior - IJEB, Faculty of Business and Administration, University of Bucharest, vol. 3(1), pages 3-25, December.
    3. Havranek, Tomas & Rusnak, Marek & Sokolova, Anna, 2017. "Habit formation in consumption: A meta-analysis," European Economic Review, Elsevier, vol. 95(C), pages 142-167.
    4. Wei-Bin Zhang, 2016. "Population Growth And Preference Change In A Generalized Solow Growth Model With Gender Time Distributions," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 1(2), pages 7-30, September.
    5. Richard Dennis, 2009. "Consumption Habits in a New Keynesian Business Cycle Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(5), pages 1015-1030, August.
    6. John Donaldson & Rajnish Mehra, 2007. "Risk Based Explanations of the Equity Premium," NBER Working Papers 13220, National Bureau of Economic Research, Inc.
    7. Santos, Tano & Veronesi, Pietro, 2010. "Habit formation, the cross section of stock returns and the cash-flow risk puzzle," Journal of Financial Economics, Elsevier, vol. 98(2), pages 385-413, November.
    8. Wei-Bin ZHANG, 2012. "Habits, Saving Propensity, And Economic Growth," Scientific Bulletin - Economic Sciences, University of Pitesti, vol. 11(2), pages 3-15.
    9. Peled, Dan & Rachmilevitch, Shiran, 2012. "Infinite horizon allocation with consumption-dependent utility," Working Papers WP2012/9, University of Haifa, Department of Economics, revised 18 Oct 2012.
    10. Douch, Mohamed & Bouaddi, Mohammed, 2010. "EQUITY Premium Puzzle in a Data-Rich Environment," MPRA Paper 29440, University Library of Munich, Germany.
    11. Santiago Budría, 2008. "An Exploration of Asset Returns in a Production Economy with Relative Habits," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 36(3), pages 261-274, September.
    12. Moore, Michael J. & Roche, Maurice J., 2010. "Solving exchange rate puzzles with neither sticky prices nor trade costs," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1151-1170, October.
    13. Qiang Dai & Olesya V. Grishchenko, 2014. "An Empirical Investigation of Consumption-Based Asset Pricing Models with Stochastic Habit Formation," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-34.
    14. Maurice J. Roche & Michael J. Moore, 2010. "For Rich or for Poor: When does Uncovered Interest Parity Hold?," Working Papers 015, Ryerson University, Department of Economics.
    15. M. Fatih Guvenen, 2003. "A Parsimonious Macroeconomic Model for Asset Pricing: Habit Formation or Cross-sectional Heterogeneity?," RCER Working Papers 499, University of Rochester - Center for Economic Research (RCER).
    16. Scheffel, Eric, 2008. "Consumption Velocity in a Cash Costly-Credit Model," Cardiff Economics Working Papers E2008/31, Cardiff University, Cardiff Business School, Economics Section.
    17. Johdo, Wataru, 2009. "Habit persistence and stagnation," Economic Modelling, Elsevier, vol. 26(5), pages 1110-1114, September.
    18. Sergio Rebelo, 2005. "Real Business Cycle Models: Past, Present, and Future," NBER Working Papers 11401, National Bureau of Economic Research, Inc.
    19. Otrok, Christopher & Ravikumar, B. & Whiteman, Charles H., 2007. "A generalized volatility bound for dynamic economies," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2269-2290, November.
    20. Sergio Rebelo, 2005. "Real Business Cycle Models: Past, Present and Future," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(2), pages 217-238, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:edn:esedps:181. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Research Office (email available below). General contact details of provider: https://edirc.repec.org/data/deediuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.