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A VAR analysis for the uncovered interest parity and the ex-ante purchasing power parity: the role of macroeconomic and financial information

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  • Macchiarelli, Corrado

Abstract

This study revisits the relation between the uncovered interest parity (UIP), the ex ante purchasing power parity (EXPPP) and the real interest parity (RIP) using a VAR approach for the US dollar, the British sterling and the Japanese yen interest rates, exchange rates and changes in prices. The original contribution is on developing some joint coefficient-based tests for the three parities conditions at a long horizon. Particularly, test results are derived by rewriting the UIP, the EXPPP and the RIP as a set of cross-equation restrictions in the VAR (see also Campbell and Shiller, 1987; Bekaert and Hodrick, 2001; and Bekaert et al., 2007; King and Kurmann, 2002). Consistent with the idea of some form of proportionality among the above three parities, we find a ”forward premium” bias in both the UIP - as it is normally found in empirical analysis (e.g. Fama, 1987) - and the ex ante PPP. The latter result is new in the literature and stems from testing the PPP in expectational terms, thus assuming agents to bear on the uncertainty of future exchange rate changes and inflation dynamics. The overall results confirm the UIP to be currency-based (see also Bekaert et al., 2007) and the EXPPP to be horizon-dependent (see also Lothian and Taylor, 1996; Taylor, 2002). Moreover, we find (weak) evidence that conditioning the VAR on variables having a strong forward-looking component (i.e. share prices) helps recover a unitary coefficient in the UIP equation. JEL Classification: E31, E43, E44, F31, C58

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  • Macchiarelli, Corrado, 2011. "A VAR analysis for the uncovered interest parity and the ex-ante purchasing power parity: the role of macroeconomic and financial information," Working Paper Series 1404, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:20111404
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    1. Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000. "Structural analysis of vector error correction models with exogenous I(1) variables," Journal of Econometrics, Elsevier, vol. 97(2), pages 293-343, August.
    2. Della Corte, Pasquale & Sarno, Lucio & Thornton, Daniel L., 2008. "The expectation hypothesis of the term structure of very short-term rates: Statistical tests and economic value," Journal of Financial Economics, Elsevier, vol. 89(1), pages 158-174, July.
    3. Corrado Macchiarelli, 2013. "On the Joint Test of the Uncovered Interest Parity and the Ex-ante Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 21(3), pages 519-535, August.
    4. Martin D. D. Evans, 1998. "Real Rates, Expected Inflation, and Inflation Risk Premia," Journal of Finance, American Finance Association, vol. 53(1), pages 187-218, February.
    5. Bekaert, Geert & Hodrick, Robert J. & Marshall, David A., 1997. "On biases in tests of the expectations hypothesis of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 44(3), pages 309-348, June.
    6. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    7. Macchiarelli, Corrado, 2014. "Bond market co-movements, expected inflation and the GBP-USD equilibrium real exchange rate," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(2), pages 242-256.
    8. Geert Bekaert & Robert J. Hodrick, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    9. Dieter Gerdesmeier & Francesco Paolo Mongelli & Barbara Roffia, 2007. "The Eurosystem, the U.S. Federal Reserve, and the Bank of Japan: Similarities and Differences," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1785-1819, October.
    10. Antonio Diez de los Rios & Enrique Sentana, 2011. "Testing Uncovered Interest Parity: A Continuous‐Time Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(4), pages 1215-1251, November.
    11. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.
    12. 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..
    13. Alexius, Annika, 2001. "Uncovered Interest Parity Revisited," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 505-517, August.
    14. Ronald MacDonald & Mark P. Taylor (ed.), 1991. "Exchange Rate Economics," Books, Edward Elgar Publishing, volume 0, number 569.
    15. Juselius, Katarina, 1995. "Do purchasing power parity and uncovered interest rate parity hold in the long run? An example of likelihood inference in a multivariate time-series model," Journal of Econometrics, Elsevier, vol. 69(1), pages 211-240, September.
    16. Ronald Macdonald & Mark P. Taylor, 1992. "Exchange Rate Economics: A Survey," IMF Staff Papers, Palgrave Macmillan, vol. 39(1), pages 1-57, March.
    17. Sarno, Lucio & Thornton, Daniel L. & Valente, Giorgio, 2007. "The Empirical Failure of the Expectations Hypothesis of the Term Structure of Bond Yields," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(1), pages 81-100, March.
    18. Zhou, Su & Mahdavi, Saeid, 1996. "Simple vs. generalized interest rate and purchasing power parity models of exchange rates," The Quarterly Review of Economics and Finance, Elsevier, vol. 36(2), pages 197-218.
    19. Loriano Mancini & Angelo Ranaldo & Jan Wrampelmeyer, 2013. "Liquidity in the Foreign Exchange Market: Measurement, Commonality, and Risk Premiums," Journal of Finance, American Finance Association, vol. 68(5), pages 1805-1841, October.
    20. repec:onb:oenbwp:y::i:28:b:1 is not listed on IDEAS
    21. Juselius, Katarina & MacDonald, Ronald, 2004. "International parity relationships between the USA and Japan," Japan and the World Economy, Elsevier, vol. 16(1), pages 17-34, January.
    22. Mishkin, Frederic S, 1984. "Are Real Interest Rates Equal across Countries? An Empirical Investigation of International Parity Conditions," Journal of Finance, American Finance Association, vol. 39(5), pages 1345-1357, December.
    23. Menzie D. Chinn & Guy Meredith, 2004. "Monetary Policy and Long-Horizon Uncovered Interest Parity," IMF Staff Papers, Palgrave Macmillan, vol. 51(3), pages 409-430, November.
    24. 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.
    25. Marston, Richard C., 1997. "Tests of three parity conditions: Distinguishing risk premia and systematic forecast errors," Journal of International Money and Finance, Elsevier, vol. 16(2), pages 285-303, April.
    26. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    27. Mark, Nelson C & Wu, Yangru, 1998. "Rethinking Deviations from Uncovered Interest Parity: The Role of Covariance Risk and Noise," Economic Journal, Royal Economic Society, vol. 108(451), pages 1686-1706, November.
    28. Lukas Menkhoff & Lucio Sarno & Maik Schmeling & Andreas Schrimpf, 2012. "Carry Trades and Global Foreign Exchange Volatility," Journal of Finance, American Finance Association, vol. 67(2), pages 681-718, April.
    29. Annika Alexius, 2001. "Uncovered Interest Parity Revisited," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 505-517, August.
    30. Fisher, Irving, 1907. "The Rate of Interest," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number fisher1907.
    31. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    32. Edison, Hali J, 1987. "Purchasing Power Parity in the Long Run: A Test of the Dollar/Pound Exchange Rate (1890-1978)," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(3), pages 376-387, August.
    33. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    34. Lucio Sarno & Mark P. Taylor, 2002. "Purchasing Power Parity and the Real Exchange Rate," IMF Staff Papers, Palgrave Macmillan, vol. 49(1), pages 1-5.
    35. Robert G. King & Andre Kurmann, 2002. "Expectations and the term structure of interest rates : evidence and implications," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 49-95.
    36. 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.
    37. Mark P. Taylor, 2003. "Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 11(3), pages 436-452, August.
    38. Hunter, John, 1992. "Tests of cointegrating exogeneity for PPP and uncovered interest rate parity in the United Kingdom," Journal of Policy Modeling, Elsevier, vol. 14(4), pages 453-463, August.
    39. Gokey, Timothy C, 1994. "What explains the risk premium in foreign exchange returns?," Journal of International Money and Finance, Elsevier, vol. 13(6), pages 729-738, December.
    40. Ronald MacDonald & Jun Nagayasu, 2000. "The Long-Run Relationship Between Real Exchange Rates and Real Interest Rate Differentials: A Panel Study," IMF Staff Papers, Palgrave Macmillan, vol. 47(1), pages 1-5.
    41. Robert E. Cumby & Maurice Obstfeld, 1980. "Exchange-Rate Expectations and Nominal Interest Differentials: A Test ofthe Fisher Hypothesis," NBER Working Papers 0537, National Bureau of Economic Research, Inc.
    42. Froot, Kenneth A. & Rogoff, Kenneth, 1995. "Perspectives on PPP and long-run real exchange rates," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 32, pages 1647-1688, Elsevier.
    43. Cheung, Yin-Wong & Lai, Kon S., 1993. "Long-run purchasing power parity during the recent float," Journal of International Economics, Elsevier, vol. 34(1-2), pages 181-192, February.
    44. Lothian, James R. & Koedijk, Kees & Mahieu, Ronald & Campbell, Rachel, 2007. "Irving Fisher, Expectational Errors, and the UIP Puzzle," CEPR Discussion Papers 6294, C.E.P.R. Discussion Papers.
    45. Cheng, Benjamin S., 1999. "Beyond the purchasing power parity: testing for cointegration and causality between exchange rates, prices, and interest rates," Journal of International Money and Finance, Elsevier, vol. 18(6), pages 911-924, December.
    46. Bekaert, Geert & Wei, Min & Xing, Yuhang, 2007. "Uncovered interest rate parity and the term structure," Journal of International Money and Finance, Elsevier, vol. 26(6), pages 1038-1069, October.
    47. Alan M. Taylor, 2002. "A Century Of Purchasing-Power Parity," The Review of Economics and Statistics, MIT Press, vol. 84(1), pages 139-150, February.
    48. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
    49. Fraga, Arminio, 1986. "Price uncertainty and the exchange-rate risk premium," Journal of International Economics, Elsevier, vol. 20(1-2), pages 179-185, February.
    50. Adrian W. Throop, 1993. "A generalized uncovered interest parity model of exchange rates," Economic Review, Federal Reserve Bank of San Francisco, pages 3-16.
    51. MacDonald, Ronald, 1993. "Long-Run Purchasing Power Parity: Is It for Real?," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 690-695, November.
    52. Craig Burnside, 2011. "Carry Trades and Risk," NBER Working Papers 17278, National Bureau of Economic Research, Inc.
    53. Johansen, Søren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244.
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    1. Corrado Macchiarelli, 2013. "On the Joint Test of the Uncovered Interest Parity and the Ex-ante Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 21(3), pages 519-535, August.
    2. Macchiarelli, Corrado, 2014. "Bond market co-movements, expected inflation and the GBP-USD equilibrium real exchange rate," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(2), pages 242-256.
    3. Zhang, Zhibai & Bian, Zhicun, 2015. "Absolute purchasing power parity in industrial countries," MPRA Paper 66241, University Library of Munich, Germany.
    4. Ibhagui, Oyakhilome, 2021. "Real Output and Cross-Currency Basis Swap Spreads: Evidence from the Eurozone," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 75(C).

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    More about this item

    Keywords

    international parity conditions; PPP; RIP; UIP;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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