IDEAS home Printed from https://ideas.repec.org/a/wly/japmet/v40y2025i3p310-324.html

Exchange Rates, Uncovered Interest Parity, and Time‐Varying Fama Regressions

Author

Listed:
  • Bowen Fu
  • Mengheng Li
  • Qazi Haque

Abstract

This paper studies the forward premium puzzle, which signals a violation of the uncovered interest parity (UIP) hypothesis. We test this hypothesis with Fama‐style regressions with time‐varying parameters (TVPs) and stochastic volatility (SV) on six major currencies relative to the US dollar on monthly samples from 1993 to 2018. TVP‐SV regressions are also employed to examine the opposing predictions of the forward premium and excess volatility puzzles often found in exchange rate risk premiums and interest rate differentials. Using Bayesian methods, we document that the riskiness of exchange rates explains the forward premium puzzle, while a liquidity premium reconciles the contrasting predictions of the forward premium and excess volatility puzzles.

Suggested Citation

  • Bowen Fu & Mengheng Li & Qazi Haque, 2025. "Exchange Rates, Uncovered Interest Parity, and Time‐Varying Fama Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 40(3), pages 310-324, April.
  • Handle: RePEc:wly:japmet:v:40:y:2025:i:3:p:310-324
    DOI: 10.1002/jae.3111
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/jae.3111
    Download Restriction: no

    File URL: https://libkey.io/10.1002/jae.3111?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Martin Eichenbaum & Charles L. Evans, 1995. "Some Empirical Evidence on the Effects of Shocks to Monetary Policy on Exchange Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(4), pages 975-1009.
    2. 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.
    3. Matthew Cocci & Marco Del Negro & Stefano Eusepi & Marc Giannoni & Raiden B. Hasegawa & M. Henry Linder & Argia M. Sbordone & Andrea Tambalotti, 2013. "The FRBNY DSGE model," Staff Reports 647, Federal Reserve Bank of New York.
    4. Hai, Weike & Mark, Nelson C & Wu, Yangru, 1997. "Understanding Spot and Forward Exchange Rate Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 715-734, Nov.-Dec..
    5. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2009. "New Keynesian Models: Not Yet Useful for Policy Analysis," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(1), pages 242-266, January.
    6. Zhongjun Qu & Pierre Perron, 2007. "Estimating and Testing Structural Changes in Multivariate Regressions," Econometrica, Econometric Society, vol. 75(2), pages 459-502, March.
    7. Menzie D. Chinn & Yi Zhang, 2018. "Uncovered Interest Parity and Monetary Policy Near and Far from the Zero Lower Bound," Open Economies Review, Springer, vol. 29(1), pages 1-30, February.
    8. Koopman, Siem Jan & Harvey, Andrew, 2003. "Computing observation weights for signal extraction and filtering," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1317-1333, May.
    9. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
    10. Mario Forni & Marc Hallin & Marco Lippi & Lucrezia Reichlin, 2000. "The Generalized Dynamic-Factor Model: Identification And Estimation," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 540-554, November.
    11. Ismailov, Adilzhan & Rossi, Barbara, 2018. "Uncertainty and deviations from uncovered interest rate parity," Journal of International Money and Finance, Elsevier, vol. 88(C), pages 242-259.
    12. Dedola, Luca & Neri, Stefano, 2007. "What does a technology shock do? A VAR analysis with model-based sign restrictions," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 512-549, March.
    13. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    14. Charles Engel, 2016. "Exchange Rates, Interest Rates, and the Risk Premium," American Economic Review, American Economic Association, vol. 106(2), pages 436-474, February.
    15. Sangjoon Kim & Neil Shephard & Siddhartha Chib, 1998. "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 361-393.
    16. Kim, Soyoung & Roubini, Nouriel, 2009. "Erratum to "Twin deficit or twin divergence? Fiscal policy, current account, and real exchange rate in the U.S." [Journal of International Economics. Volume (74) 362-383]," Journal of International Economics, Elsevier, vol. 77(2), pages 276-276, April.
    17. Marco Del Negro & Giorgio E. Primiceri, 2015. "Time Varying Structural Vector Autoregressions and Monetary Policy: A Corrigendum," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1342-1345.
    18. Koopman, Siem Jan & Shephard, Neil (ed.), 2015. "Unobserved Components and Time Series Econometrics," OUP Catalogue, Oxford University Press, number 9780199683666.
    19. Jørgensen, Peter L. & Ravn, Søren H., 2022. "The inflation response to government spending shocks: A fiscal price puzzle?," European Economic Review, Elsevier, vol. 141(C).
    20. Haroon Mumtaz & Konstantinos Theodoridis, 2018. "The Changing Transmission of Uncertainty Shocks in the U.S," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(2), pages 239-252, April.
    21. Faust, Jon & Rogers, John H., 2003. "Monetary policy's role in exchange rate behavior," Journal of Monetary Economics, Elsevier, vol. 50(7), pages 1403-1424, October.
    22. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    23. Petrova, Katerina, 2019. "A quasi-Bayesian local likelihood approach to time varying parameter VAR models," Journal of Econometrics, Elsevier, vol. 212(1), pages 286-306.
    24. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:uta:papers:2025-01 is not listed 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. Engel, Charles & Kazakova, Katya & Wang, Mengqi & Xiang, Nan, 2022. "A reconsideration of the failure of uncovered interest parity for the U.S. dollar," Journal of International Economics, Elsevier, vol. 136(C).
    2. Stijn Claessens & M Ayhan Kose, 2017. "Asset prices and macroeconomic outcomes: a survey," BIS Working Papers 676, Bank for International Settlements.
    3. Stylianos Asimakopoulos & Marco Lorusso & Francesco Ravazzolo, 2023. "A Bayesian DSGE Approach to Modelling Cryptocurrency"," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 1012-1035, December.
    4. Drew Creal & Siem Jan Koopman & Eric Zivot, 2008. "The Effect of the Great Moderation on the U.S. Business Cycle in a Time-varying Multivariate Trend-cycle Model," Tinbergen Institute Discussion Papers 08-069/4, Tinbergen Institute.
    5. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95, May.
    6. Magnus Reif, 2020. "Macroeconomics, Nonlinearities, and the Business Cycle," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 87, July.
    7. Poncela, Pilar & Ruiz, Esther & Miranda, Karen, 2021. "Factor extraction using Kalman filter and smoothing: This is not just another survey," International Journal of Forecasting, Elsevier, vol. 37(4), pages 1399-1425.
    8. 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.
    9. Forni, Mario & Gambetti, Luca, 2010. "The dynamic effects of monetary policy: A structural factor model approach," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 203-216, March.
    10. Huber, Florian & Rabitsch, Katrin, 2019. "Exchange rate dynamics and monetary policy - Evidence from a non-linear DSGE-VAR approach," Department of Economics Working Paper Series 295, WU Vienna University of Economics and Business.
    11. Rod Tyers & Ying Zhang, 2014. "Real exchange rate determination and the China puzzle," Asian-Pacific Economic Literature, The Crawford School, The Australian National University, vol. 28(2), pages 1-32, November.
    12. Giancarlo Corsetti & Luca Dedola & Sylvain Leduc, 2014. "The International Dimension Of Productivity And Demand Shocks In The Us Economy," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 153-176, February.
    13. Ricardo Reis & Vasco Curdia, 2009. "Correlated Disturbances and U.S. Business Cycles," 2009 Meeting Papers 129, Society for Economic Dynamics.
    14. Enders, Zeno & Müller, Gernot J. & Scholl, Almuth, 2011. "How do fiscal and technology shocks affect real exchange rates?: New evidence for the United States," Journal of International Economics, Elsevier, vol. 83(1), pages 53-69, January.
    15. Bacchetta, Philippe & van Wincoop, Eric, 2021. "Puzzling exchange rate dynamics and delayed portfolio adjustment," Journal of International Economics, Elsevier, vol. 131(C).
    16. Dellaportas, Petros & Titsias, Michalis K. & Petrova, Katerina & Plataniotis, Anastasios, 2023. "Scalable inference for a full multivariate stochastic volatility model," Journal of Econometrics, Elsevier, vol. 232(2), pages 501-520.
    17. Alain Galli, 2018. "Which Indicators Matter? Analyzing the Swiss Business Cycle Using a Large-Scale Mixed-Frequency Dynamic Factor Model," Journal of Business Cycle Research, Springer;Centre for International Research on Economic Tendency Surveys (CIRET), vol. 14(2), pages 179-218, November.
    18. Bańbura, Marta & Giannone, Domenico & Lenza, Michele, 2015. "Conditional forecasts and scenario analysis with vector autoregressions for large cross-sections," International Journal of Forecasting, Elsevier, vol. 31(3), pages 739-756.
    19. O. Miguel Villanueva, 2005. "FX Dynamics, Limited Participation, and the Forward Bias Anomaly," The Financial Review, Eastern Finance Association, vol. 40(1), pages 67-93, February.
    20. Pérez Rojo, Flavio & Rodríguez, Gabriel, 2024. "Impact of monetary policy shocks in the Peruvian economy over time," Structural Change and Economic Dynamics, Elsevier, vol. 71(C), pages 270-288.

    More about this item

    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:wly:japmet:v:40:y:2025:i:3:p:310-324. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.interscience.wiley.com/jpages/0883-7252/ .

    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.