(Translated by https://www.hiragana.jp/)
A Habit-Based Explanation of the Exchange Rate Risk Premium
IDEAS home Printed from https://ideas.repec.org/p/sce/scecfa/217.html
   My bibliography  Save this paper

A Habit-Based Explanation of the Exchange Rate Risk Premium

Author

Listed:
  • Adrien Verdelhan

    (Boston University and Banque de France)

Abstract

This paper presents a fully rational general equilibrium model that produces a time-varying exchange rate risk premium and solves the uncovered interest rate parity (U.I.P) puzzle. In this two-country model, agents are characterized by slow-moving external habit preferences similar to Campbell & Cochrane (1999). Endowment shocks are i.i.d and real risk-free rates are time-varying. Agents can trade across countries, but when a unit is shipped, only a fraction of the good arrives to the foreign shore. The model gives a rationale for the U.I.P puzzle: the domestic investor receives a positive exchange rate risk premium when she is effectively more risk-averse than her foreign counterpart. Times of high risk-aversion correspond to low interest rates. Thus, the domestic investor receives a positive risk premium when interest rates are lower at home than abroad. The model is both simulated and estimated. The simulation recovers the usual negative coefficient between exchange rate variations and interest rate differentials. When the iceberg-like trade cost is taken into account, the exchange rate variance produced is in line with its empirical counterpart. A nonlinear estimation of the model using consumption data leads to reasonable parameters when pricing the foreign excess returns of an American investor

Suggested Citation

  • Adrien Verdelhan, 2006. "A Habit-Based Explanation of the Exchange Rate Risk Premium," Computing in Economics and Finance 2006 217, Society for Computational Economics.
    • Handle: RePEc:sce:scecfa:217
    as

    Download full text from publisher

    File URL: http://people.bu.edu/av/Research.html
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Martin Lettau & Stijn Van Nieuwerburgh, 2008. "Reconciling the Return Predictability Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1607-1652, July.
    2. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    3. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    4. Giancarlo Corsetti & Luca Dedola & Sylvain Leduc, 2008. "International Risk Sharing and the Transmission of Productivity Shocks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 443-473.
    5. repec:bla:jfinan:v:53:y:1998:i:1:p:187-218 is not listed on IDEAS
    6. 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.
    7. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    8. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
    9. Jérôme B. Detemple & Ren Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, February.
    10. Hanno Lustig & Adrien Verdelhan, 2007. "The Cross Section of Foreign Currency Risk Premia and Consumption Growth Risk," American Economic Review, American Economic Association, vol. 97(1), pages 89-117, March.
    11. Backus, David K. & Smith, Gregor W., 1993. "Consumption and real exchange rates in dynamic economies with non-traded goods," Journal of International Economics, Elsevier, vol. 35(3-4), pages 297-316, November.
    12. V. V Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2002. "Can Sticky Price Models Generate Volatile and Persistent Real Exchange Rates?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 533-563.
    13. Brandt, Michael W. & Cochrane, John H. & Santa-Clara, Pedro, 2006. "International risk sharing is better than you think, or exchange rates are too smooth," Journal of Monetary Economics, Elsevier, vol. 53(4), pages 671-698, May.
    14. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, April.
    15. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    16. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    17. Burton Hollifield & Armir Yaron, "undated". "The Foreign Exchange Risk Premium: Real and Nominal Factors," GSIA Working Papers 2001-E13, Carnegie Mellon University, Tepper School of Business.
    18. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    19. Emmanuel Farhi & Xavier Gabaix, "undated". "Rare Disasters and Exchange Rates," Working Paper 71001, Harvard University OpenScholar.
    20. 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.
    21. Dotsey, Michael & Lantz, Carl & Scholl, Brian, 2003. "The Behavior of the Real Rate of Interest," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 91-110, February.
    22. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    23. Fama, Eugene F. & Schwert, G. William, 1977. "Asset returns and inflation," Journal of Financial Economics, Elsevier, vol. 5(2), pages 115-146, November.
    24. He, Hua & Pages, Henri F, 1993. "Labor Income, Borrowing Constraints, and Equilibrium Asset Prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 663-696, October.
    25. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    26. Nicole El Karoui & Monique Jeanblanc-Picqué, 1998. "Optimization of consumption with labor income," Finance and Stochastics, Springer, vol. 2(4), pages 409-440.
    27. Campbell, John Y. & Yogo, Motohiro, 2006. "Efficient tests of stock return predictability," Journal of Financial Economics, Elsevier, vol. 81(1), pages 27-60, July.
    28. Zinde-Walsh, Victoria, 1995. "ESTIMATION AND INFERENCE IN ECONOMETRICSRussell Davidson and James G. MacKinnon Oxford University Press, 1993," Econometric Theory, Cambridge University Press, vol. 11(3), pages 631-635, June.
    29. Thomas D. Tallarini, Jr. & Harold H. Zhang, 2005. "External Habit and the Cyclicality of Expected Stock Returns," The Journal of Business, University of Chicago Press, vol. 78(3), pages 1023-1048, May.
    30. Benigno, Gianluca & Thoenissen, Christoph, 2008. "Consumption and real exchange rates with incomplete markets and non-traded goods," Journal of International Money and Finance, Elsevier, vol. 27(6), pages 926-948, October.
    31. Monika Piazzesi & Martin Schneider, 2007. "Equilibrium Yield Curves," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472, National Bureau of Economic Research, Inc.
    32. 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.
    33. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April.
    34. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, October.
    35. Stock, James H. & Watson, Mark W., 1999. "Business cycle fluctuations in us macroeconomic time series," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 1, pages 3-64, Elsevier.
    36. David K. Backus & Silverio Foresi & Chris I. Telmer, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, February.
    37. repec:dgr:kubcen:199554 is not listed on IDEAS
    38. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    39. Lior Menzly & Tano Santos & Pietro Veronesi, 2004. "Understanding Predictability," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 1-47, February.
    40. Peter Ritchken & L. Sankarasubramanian, 1995. "Volatility Structures Of Forward Rates And The Dynamics Of The Term Structure1," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 55-72, January.
    41. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
    42. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    43. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    44. Andrea Buraschi & Alexei Jiltsov, 2007. "Habit Formation and Macroeconomic Models of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 62(6), pages 3009-3063, December.
    45. Martin Lettau & Harald Uhlig, 2000. "Can Habit Formation be Reconciled with Business Cycle Facts?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 79-99, January.
    46. repec:oup:rfinst:v:26:y::i:1:p:1-33 is not listed on IDEAS
    47. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    48. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-280, July.
    49. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    50. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    51. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    52. Harvey, Campbell R., 1989. "Time-varying conditional covariances in tests of asset pricing models," Journal of Financial Economics, Elsevier, vol. 24(2), pages 289-317.
    53. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    54. Frachot, Antoine, 1996. "A reexamination of the uncovered interest rate parity hypothesis," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 419-437, June.
    55. Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
    56. Detemple, Jérôme & Garcia, René & Rindisbacher, Marcel, 2005. "Intertemporal asset allocation: A comparison of methods," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2821-2848, November.
    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. Christophe Chamley, 2006. "Complementarities in information acquisition with short-term trades," Boston University - Department of Economics - Working Papers Series WP2006-042, Boston University - Department of Economics.
    2. Cochrane, John H., 2005. "Financial Markets and the Real Economy," Foundations and Trends(R) in Finance, now publishers, vol. 1(1), pages 1-101, July.
    3. Perron, Pierre & Wada, Tatsuma, 2009. "Let's take a break: Trends and cycles in US real GDP," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 749-765, September.
    4. Bekaert, Geert & Engstrom, Eric & Grenadier, Steven R., 2010. "Stock and bond returns with Moody Investors," Journal of Empirical Finance, Elsevier, vol. 17(5), pages 867-894, December.
    5. Ludvigson, Sydney C., 2013. "Advances in Consumption-Based Asset Pricing: Empirical Tests," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 799-906, Elsevier.
    6. Committee, Nobel Prize, 2013. "Understanding Asset Prices," Nobel Prize in Economics documents 2013-1, Nobel Prize Committee.
    7. Gourio, François & Siemer, Michael & Verdelhan, Adrien, 2013. "International risk cycles," Journal of International Economics, Elsevier, vol. 89(2), pages 471-484.
    8. Emmanuel Farhi & Xavier Gabaix, "undated". "Rare Disasters and Exchange Rates," Working Paper 71001, Harvard University OpenScholar.
    9. Hanno Lustig & Adrien Verdelhan, 2007. "The Cross Section of Foreign Currency Risk Premia and Consumption Growth Risk," American Economic Review, American Economic Association, vol. 97(1), pages 89-117, March.
    10. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    11. Kraft, Holger & Meyer-Wehmann, André & Seifried, Frank Thomas, 2022. "Endogenous habits and equilibrium asset prices," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 279-300.
    12. Adrien Verdelhan & Hanno Lustig, 2016. "Does Incomplete Spanning in International Financial Markets Help to Explain Exchange Rates?," 2016 Meeting Papers 1183, Society for Economic Dynamics.
    13. Wachter, Jessica A., 2005. "Solving models with external habit," Finance Research Letters, Elsevier, vol. 2(4), pages 210-226, December.
    14. Engsted, Tom & Hyde, Stuart & Møller, Stig V., 2010. "Habit formation, surplus consumption and return predictability: International evidence," Journal of International Money and Finance, Elsevier, vol. 29(7), pages 1237-1255, November.
    15. John Donaldson & Rajnish Mehra, 2007. "Risk Based Explanations of the Equity Premium," NBER Working Papers 13220, National Bureau of Economic Research, Inc.
    16. Bekaert, Geert & Engstrom, Eric & Xing, Yuhang, 2009. "Risk, uncertainty, and asset prices," Journal of Financial Economics, Elsevier, vol. 91(1), pages 59-82, January.
    17. Sanglim Lee, 2012. "Expected Currency Excess Returns and International Business Cycles," Working papers 2012-16, University of Connecticut, Department of Economics.
    18. A Craig Burnside & Jeremy J Graveline, 2020. "On the Asset Market View of Exchange Rates," The Review of Financial Studies, Society for Financial Studies, vol. 33(1), pages 239-260.
    19. Roussanov, Nikolai, 2014. "Composition of wealth, conditioning information, and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 111(2), pages 352-380.
    20. Engel, Charles, 2014. "Exchange Rates and Interest Parity," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 453-522, Elsevier.

    More about this item

    Keywords

    Exchange rate; Time-varying risk premium; Habits;
    All these keywords.

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:sce:scecfa:217. 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: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/sceeeea.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.