IDEAS home Printed from https://ideas.repec.org/p/fip/fednsr/665.html
   My bibliography  Save this paper

Arbitrage-free affine models of the forward price of foreign currency

Author

Listed:
  • J. Benson Durham

Abstract

Forward foreign exchange contracts embed not only expected depreciation but also a sizable premium, which complicates inferences about anticipated returns. This study derives arbitrage-free affine forward currency models (AFCMs) with closed-form expressions for both unobservable variables. Model calibration to forward term structures of eleven U.S.-dollar currency pairs from the mid-to-late 1990s through early 2014 fits the data closely and suggests that the premium is indeed nonzero and variable, but not to the degree implied by previous econometric studies.

Suggested Citation

  • J. Benson Durham, 2014. "Arbitrage-free affine models of the forward price of foreign currency," Staff Reports 665, Federal Reserve Bank of New York.
    • Handle: RePEc:fip:fednsr:665
    as

    Download full text from publisher

    File URL: https://www.newyorkfed.org/medialibrary/media/research/staff_reports/sr665.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Adrien Verdelhan, 2010. "A Habit‐Based Explanation of the Exchange Rate Risk Premium," Journal of Finance, American Finance Association, vol. 65(1), pages 123-146, February.
    2. Engel, Charles, 1996. "The forward discount anomaly and the risk premium: A survey of recent evidence," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 123-192, June.
    3. Kenneth A. Froot & Jeffrey A. Frankel, 1989. "Forward Discount Bias: Is it an Exchange Risk Premium?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 139-161.
    4. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
    5. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    6. Chaboud, Alain P. & Wright, Jonathan H., 2005. "Uncovered interest parity: it works, but not for long," Journal of International Economics, Elsevier, vol. 66(2), pages 349-362, July.
    7. Brennan, Michael J. & Schwartz, Eduardo S., 1977. "Savings bonds, retractable bonds and callable bonds," Journal of Financial Economics, Elsevier, vol. 5(1), pages 67-88, August.
    8. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    9. Kim, Don H. & Orphanides, Athanasios, 2012. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(1), pages 241-272, February.
    10. Sharpe, William F., 1974. "Imputing Expected Security Returns from Portfolio Composition," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(3), pages 463-472, June.
    11. Menzie D. Chinn & Guy Meredith, 2005. "Testing Uncovered Interest Parity at Short and Long Horizons during the Post-Bretton Woods Era," NBER Working Papers 11077, National Bureau of Economic Research, Inc.
    12. Kenneth A. Froot, 1990. "Short Rates and Expected Asset Returns," NBER Working Papers 3247, National Bureau of Economic Research, Inc.
    13. Froot, Kenneth A & Thaler, Richard H, 1990. "Foreign Exchange," Journal of Economic Perspectives, American Economic Association, vol. 4(3), pages 179-192, Summer.
    14. 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.
    15. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    16. Bilson, John F O, 1981. "The "Speculative Efficiency" Hypothesis," The Journal of Business, University of Chicago Press, vol. 54(3), pages 435-451, July.
    17. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    18. Langetieg, Terence C, 1980. "A Multivariate Model of the Term Structure," Journal of Finance, American Finance Association, vol. 35(1), pages 71-97, March.
    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. Philippe Bacchetta & Eric van Wincoop, 2005. "Rational Inattention: A Solution to the Forward Discount Puzzle," FAME Research Paper Series rp156, International Center for Financial Asset Management and Engineering.
    2. Philippe Bacchetta & Eric Van Wincoop, 2006. "Incomplete information processing: a solution to the forward discount puzzle," Proceedings, Federal Reserve Bank of San Francisco, issue Jun.
    3. Philippe Bacchetta & Eric van Wincoop, 2010. "Infrequent Portfolio Decisions: A Solution to the Forward Discount Puzzle," American Economic Review, American Economic Association, vol. 100(3), pages 870-904, June.
    4. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2012. "Properties of foreign exchange risk premiums," Journal of Financial Economics, Elsevier, vol. 105(2), pages 279-310.
    5. Tarek A Hassan & Rui C Mano, 2019. "Forward and Spot Exchange Rates in a Multi-Currency World," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(1), pages 397-450.
    6. Bacchetta, Philippe & Mertens, Elmar & van Wincoop, Eric, 2009. "Predictability in financial markets: What do survey expectations tell us?," Journal of International Money and Finance, Elsevier, vol. 28(3), pages 406-426, April.
    7. Nikola Mirkov, 2014. "International financial transmission of the Fed's monetary policy," International Journal of Business and Economic Sciences Applied Research (IJBESAR), Democritus University of Thrace (DUTH), Kavala Campus, Greece, vol. 7(2), pages 7-49, September.
    8. Pasricha, Gurnain Kaur, 2006. "Survey of Literature on Covered and Uncovered Interest Parities," MPRA Paper 22737, University Library of Munich, Germany.
    9. Hanno Lustig & Adrien Verdelhan, 2009. "Comment on "Carry Trades and Currency Crashes"," NBER Chapters, in: NBER Macroeconomics Annual 2008, Volume 23, pages 361-384, National Bureau of Economic Research, Inc.
    10. Yung, Julieta, 2021. "Can interest rate factors explain exchange rate fluctuations?," Journal of Empirical Finance, Elsevier, vol. 61(C), pages 34-56.
    11. 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.
    12. Craighead, William D. & Davis, George K. & Miller, Norman C., 2010. "Interest differentials and extreme support for uncovered interest rate parity," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 723-732, October.
    13. Anella Munro, 2014. "Exchange rates, expected returns and risk," Reserve Bank of New Zealand Discussion Paper Series DP2014/01, Reserve Bank of New Zealand.
    14. Chinn, Menzie D., 2006. "The (partial) rehabilitation of interest rate parity in the floating rate era: Longer horizons, alternative expectations, and emerging markets," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 7-21, February.
    15. Carmen Gloria Silva, 2010. "Forward premium puzzle and term structure of interest rates: the case of New Zealand," Working Papers Central Bank of Chile 570, Central Bank of Chile.
    16. Frankel, Jeffrey & Poonawala, Jumana, 2010. "The forward market in emerging currencies: Less biased than in major currencies," Journal of International Money and Finance, Elsevier, vol. 29(3), pages 585-598, April.
    17. Adrien Verdelhan, 2018. "The Share of Systematic Variation in Bilateral Exchange Rates," Journal of Finance, American Finance Association, vol. 73(1), pages 375-418, February.
    18. Waheed, Muhammad, 2009. "Forward rate unbiased hypothesis, risk premium and exchange rate expectations: estimates on Pakistan Rupee-US Dollar," MPRA Paper 33167, University Library of Munich, Germany, revised Jul 2010.
    19. 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.
    20. Wagner, Christian, 2012. "Risk-premia, carry-trade dynamics, and economic value of currency speculation," Journal of International Money and Finance, Elsevier, vol. 31(5), pages 1195-1219.

    More about this item

    Keywords

    arbitrage-free model; foreign exchange;

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    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:fip:fednsr:665. 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: Gabriella Bucciarelli (email available below). General contact details of provider: https://edirc.repec.org/data/frbnyus.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.