IDEAS home Printed from https://ideas.repec.org/p/chb/bcchwp/570.html
   My bibliography  Save this paper

Forward premium puzzle and term structure of interest rates: the case of New Zealand

Author

Listed:
  • Carmen Gloria Silva

Abstract

Using monthly data for the United States dollar – New Zealand dollar exchange rate, this paper revisits the forward premium puzzle and applies a discrete no-arbitrage affine model of the term structure of interest rates to obtain historical estimates of the time-varying foreign exchange risk premium. The two-factor model is estimated via maximum likelihood for the period 1995-2006. The results of this study demonstrate that the modeled risk premium satisfies the required Fama’s conditions, and its inclusion in an extended GARCH(1,1) model is significant in explaining both the mean and the volatility of the exchange rate. However, consistently with the extant literature, the estimated risk premium does not preclude the presence of the forward premium anomaly. Lastly, out-of-sample forecasts of the exchange rate for different specifications and time periods reveal that predictions of the proposed model for the exchange rate are far from the accuracy of a simple random walk specification.

Suggested Citation

  • 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.
  • Handle: RePEc:chb:bcchwp:570
    as

    Download full text from publisher

    File URL: https://www.bcentral.cl/documents/33528/133326/DTBC_570.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Clarida, Richard H. & Sarno, Lucio & Taylor, Mark P. & Valente, Giorgio, 2003. "The out-of-sample success of term structure models as exchange rate predictors: a step beyond," Journal of International Economics, Elsevier, vol. 60(1), pages 61-83, May.
    2. Lucio Sarno & Giorgio Valente & Hyginus Leon, 2006. "Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle," Review of Finance, European Finance Association, vol. 10(3), pages 443-482, September.
    3. Michael J. Brennan & Yihong Xia, 2006. "International Capital Markets and Foreign Exchange Risk," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 753-795.
    4. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-181, March.
    5. Craig Burnside & Martin Eichenbaum & Isaac Kleshchelski & Sergio Rebelo, 2011. "Do Peso Problems Explain the Returns to the Carry Trade?," The Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 853-891.
    6. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    7. Nikolay Gospodinov, 2009. "A New Look at the Forward Premium Puzzle," Journal of Financial Econometrics, Oxford University Press, vol. 7(3), pages 312-338, Summer.
    8. Luca Benati, 2006. "Affine term structure models for the foreign exchange risk premium," Bank of England working papers 291, Bank of England.
    9. Lorenzo Cappiello & Nikolaos Panigirtzoglou, 2008. "Estimates of foreign exchange risk premia: a pricing kernel approach," Empirical Economics, Springer, vol. 35(3), pages 475-495, November.
    10. 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..
    11. Chakraborty, Avik & Evans, George W., 2008. "Can perpetual learning explain the forward-premium puzzle?," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 477-490, April.
    12. Shu Wu, 2007. "Interest Rate Risk and the Forward Premium Anomaly in Foreign Exchange Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2‐3), pages 423-442, March.
    13. 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.
    14. Bakshi, Gurdip & Carr, Peter & Wu, Liuren, 2008. "Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies," Journal of Financial Economics, Elsevier, vol. 87(1), pages 132-156, January.
    15. 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.
    16. Tigran Poghosyan & Evžen KoÄenda & Petr ZemÄik, 2008. "Modeling Foreign Exchange Risk Premium in Armenia," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 44(1), pages 41-61, January.
    17. Nikolaos Panigirtzoglou, 2004. "Implied Foreign Exchange Risk Premia," European Financial Management, European Financial Management Association, vol. 10(2), pages 321-338, June.
    18. World Bank, 2009. "World Development Indicators 2009," World Bank Publications - Books, The World Bank Group, number 4367, December.
    19. Fang Liu & Piet Sercu, 2009. "The Forex Forward Puzzle: The Career Risk Hypothesis," The Financial Review, Eastern Finance Association, vol. 44(3), pages 371-404, August.
    20. Ron Jongen & Willem F.C. Verschoor & Christian C.P. Wolff, 2008. "Foreign Exchange Rate Expectations: Survey And Synthesis," Journal of Economic Surveys, Wiley Blackwell, vol. 22(1), pages 140-165, February.
    21. 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.
    22. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    23. 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.
    24. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    25. Gabriele Galati & Alexandra Heath & Patrick McGuire, 2007. "Evidence of carry trade activity," BIS Quarterly Review, Bank for International Settlements, September.
    26. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    27. 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.
    28. Inci, Ahmet Can, 2007. "US-Swiss term structures and exchange rate dynamics," Global Finance Journal, Elsevier, vol. 18(2), pages 270-288.
    29. Nucci, Francesco, 2003. "Cross-currency, cross-maturity forward exchange premiums as predictors of spot rate changes: Theory and evidence," Journal of Banking & Finance, Elsevier, vol. 27(2), pages 183-200, February.
    30. Antonio Diez De Los Rios, 2009. "Can Affine Term Structure Models Help Us Predict Exchange Rates?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(4), pages 755-766, June.
    31. Cavaglia Stefano & Verschoor Willem F. C. & Wolff Christian C. P., 1993. "Asian Exchange Rate Expectations," Journal of the Japanese and International Economies, Elsevier, vol. 7(1), pages 57-77, March.
    32. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    33. Kam Chu, 2005. "Solution to the Siegel Paradox," Open Economies Review, Springer, vol. 16(4), pages 399-405, October.
    34. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    35. Sarantis, Nicholas, 2006. "Testing the uncovered interest parity using traded volatility, a time-varying risk premium and heterogeneous expectations," Journal of International Money and Finance, Elsevier, vol. 25(7), pages 1168-1186, November.
    36. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    37. Raj Aggarwal & Winston T. Lin & Sunil K. Mohanty, 2008. "Are Forward Exchange Rates Rational Forecasts of Future Spot Rates? An Improved Econometric Analysis for the Major Currencies," Multinational Finance Journal, Multinational Finance Journal, vol. 12(1-2), pages 1-20, March-Jun.
    38. Baillie, Richard T. & Kilic, Rehim, 2006. "Do asymmetric and nonlinear adjustments explain the forward premium anomaly?," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 22-47, February.
    39. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    40. Tigran Poghosyan & Evzen Kocenda, 2006. "Foreign Exchange Risk Premium Determinants: Case of Armenia," CERGE-EI Working Papers wp297, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    41. Christian Hawkesby & Christie Smith & Christine Tether, 2000. "New Zealand's currency risk premium," Reserve Bank of New Zealand Bulletin, Reserve Bank of New Zealand, vol. 63, September.
    42. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
    43. Bansal, Ravi, 1997. "An Exploration of the Forward Premium Puzzle in Currency Markets," The Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 369-403.
    44. Richard H. Clarida & Mark P. Taylor, 1997. "The Term Structure Of Forward Exchange Premiums And The Forecastability Of Spot Exchange Rates: Correcting The Errors," The Review of Economics and Statistics, MIT Press, vol. 79(3), pages 353-361, August.
    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. Michael B. Devereux, 2011. "Fiscal Deficits, Debt, and Monetary Policy in a Liquidity Trap," Central Banking, Analysis, and Economic Policies Book Series, in: Luis Felipe Céspedes & Roberto Chang & Diego Saravia (ed.),Monetary Policy under Financial Turbulence, edition 1, volume 16, chapter 10, pages 369-410, Central Bank of Chile.
    2. Miguel Ricaurte, 2010. "The Role of Labor Markets in Structural Change," Working Papers Central Bank of Chile 584, Central Bank of Chile.
    3. Eric M. Leeper, 2009. "Anchors Away: How Fiscal Policy Can Undermine “Good” Monetary Policy," CAEPR Working Papers 2009-021, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.

    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. Yung, Julieta, 2021. "Can interest rate factors explain exchange rate fluctuations?," Journal of Empirical Finance, Elsevier, vol. 61(C), pages 34-56.
    2. Shu Wu, 2007. "Interest Rate Risk and the Forward Premium Anomaly in Foreign Exchange Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 423-442, March.
    3. 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.
    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. Bakshi, Gurdip & Carr, Peter & Wu, Liuren, 2008. "Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies," Journal of Financial Economics, Elsevier, vol. 87(1), pages 132-156, January.
    6. Norman C. Miller, 2014. "Exchange Rate Economics," Books, Edward Elgar Publishing, number 14981.
    7. Pericoli, Marcello & Taboga, Marco, 2012. "Bond risk premia, macroeconomic fundamentals and the exchange rate," International Review of Economics & Finance, Elsevier, vol. 22(1), pages 42-65.
    8. Antonio Diez De Los Rios, 2009. "Can Affine Term Structure Models Help Us Predict Exchange Rates?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(4), pages 755-766, June.
    9. Inci, Ahmet Can, 2007. "US-Swiss term structures and exchange rate dynamics," Global Finance Journal, Elsevier, vol. 18(2), pages 270-288.
    10. Chang, Sanders S., 2013. "Can cross-country portfolio rebalancing give rise to forward bias in FX markets?," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 1079-1096.
    11. Driessen, Joost & Melenberg, Bertrand & Nijman, Theo, 2005. "Testing affine term structure models in case of transaction costs," Journal of Econometrics, Elsevier, vol. 126(1), pages 201-232, May.
    12. 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.
    13. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    14. 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.
    15. repec:wyi:journl:002109 is not listed on IDEAS
    16. Luca Benati, 2006. "Affine term structure models for the foreign exchange risk premium," Bank of England working papers 291, Bank of England.
    17. Collin-Dufresne, Pierre & Goldstein, Robert S. & Jones, Christopher S., 2009. "Can interest rate volatility be extracted from the cross section of bond yields?," Journal of Financial Economics, Elsevier, vol. 94(1), pages 47-66, October.
    18. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2010. "Properties of Foreign Exchange Risk Premia," MPRA Paper 21302, University Library of Munich, Germany.
    19. Yin, Weiwei & Li, Junye, 2014. "Macroeconomic fundamentals and the exchange rate dynamics: A no-arbitrage macro-finance approach," Journal of International Money and Finance, Elsevier, vol. 41(C), pages 46-64.
    20. Matsumura, Marco & Moreira, Ajax & Vicente, José, 2011. "Forecasting the yield curve with linear factor models," International Review of Financial Analysis, Elsevier, vol. 20(5), pages 237-243.
    21. Geert Bekaert & Seonghoon Cho & Antonio Moreno, 2010. "New Keynesian Macroeconomics and the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(1), pages 33-62, February.

    More about this item

    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:chb:bcchwp:570. 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: Alvaro Castillo (email available below). General contact details of provider: https://edirc.repec.org/data/bccgvcl.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.