IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v33y2007i1p23-39.html
   My bibliography  Save this article

Estimating exchange rate dynamics with diffusion processes: an application to Greek EMU data

Author

Listed:
  • Mark Trede
  • Bernd Wilfling

Abstract

Recently various exchange rate models capturing the dynamics during the transition from an exchange rate arrangement of floating rates into a currency union have been derived. Technically, these stochastic equilibrium models are diffusion processes which have to be estimated by discretely sampled observations. Using daily exchange rate data prior to the Greek EMU-entrance in January 2001 this paper develops a rigorous estimation procedure. The estimates provide statistical evidence of increased central bank intervention activities in the run-up to the Greek EMU entrance. Thus the modelling and estimation framework establishes an approach for detecting intervention phases in the absence of concrete intervention data.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Mark Trede & Bernd Wilfling, 2007. "Estimating exchange rate dynamics with diffusion processes: an application to Greek EMU data," Empirical Economics, Springer, vol. 33(1), pages 23-39, July.
    • Handle: RePEc:spr:empeco:v:33:y:2007:i:1:p:23-39
    DOI: 10.1007/s00181-006-0081-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00181-006-0081-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00181-006-0081-6?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
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 385-426.
    2. Obstfeld, Maurice, 1998. "A strategy for launching the Euro," European Economic Review, Elsevier, vol. 42(6), pages 975-1007, June.
    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. Miller, Marcus & Sutherland, Alan, 1994. "Speculative Anticipations of Sterling's Return to Gold: Was Keynes Wrong?," Economic Journal, Royal Economic Society, vol. 104(425), pages 804-812, July.
    5. Antzoulatos, Angelos A. & Wilfling, Bernd, 2003. "Exchange and Interest Rates prior to EMU: The Case of Greece," Discussion Paper Series 26325, Hamburg Institute of International Economics.
    6. Darolles, Serge & Gourieroux, Christian, 2001. "Truncated dynamics and estimation of diffusion equations," Journal of Econometrics, Elsevier, vol. 102(1), pages 1-22, May.
    7. Lindberg, H. & Soderlind, P., 1991. "Testing the Basic Target Zone Model on Swedish Data," Papers 488, Stockholm - International Economic Studies.
    8. De Grauwe, Paul & Dewachter, Hans & Veestraeten, Dirk, 1999. "Price dynamics under stochastic process switching: some extensions and an application to EMU1," Journal of International Money and Finance, Elsevier, vol. 18(2), pages 195-224, February.
    9. Beine, Michel & Laurent, Sebastien & Lecourt, Christelle, 2003. "Official central bank interventions and exchange rate volatility: Evidence from a regime-switching analysis," European Economic Review, Elsevier, vol. 47(5), pages 891-911, October.
    10. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    11. Elerain, Ola & Chib, Siddhartha & Shephard, Neil, 2001. "Likelihood Inference for Discretely Observed Nonlinear Diffusions," Econometrica, Econometric Society, vol. 69(4), pages 959-993, July.
    12. Froot, Kenneth A. & Obstfeld, Maurice, 1991. "Exchange-rate dynamics under stochastic regime shifts : A unified approach," Journal of International Economics, Elsevier, vol. 31(3-4), pages 203-229, November.
    13. Chan, K C, et al, 1992. "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
    14. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    15. Flood, Robert P & Garber, Peter M, 1983. "A Model of Stochastic Process Switching," Econometrica, Econometric Society, vol. 51(3), pages 537-551, May.
    16. Hansen, Lars Peter & Alexandre Scheinkman, Jose & Touzi, Nizar, 1998. "Spectral methods for identifying scalar diffusions," Journal of Econometrics, Elsevier, vol. 86(1), pages 1-32, June.
    17. 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.
    18. Brennan, Michael J. & Schwartz, Eduardo S., 1979. "A continuous time approach to the pricing of bonds," Journal of Banking & Finance, Elsevier, vol. 3(2), pages 133-155, July.
    19. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Stochastic Process Switching: Some Simple Solutions," Econometrica, Econometric Society, vol. 59(1), pages 241-250, January.
    20. Lindbecg, H. Soderlind, P., 1992. "Target Zone Models and the Intervention Policy; The Swedish Case," Papers 496, Stockholm - International Economic Studies.
    21. Krugman,Paul & Miller,Marcus (ed.), 1992. "Exchange Rate Targets and Currency Bands," Cambridge Books, Cambridge University Press, number 9780521435260, September.
    22. repec:bla:germec:v:4:y:2003:i::p:433-457 is not listed on IDEAS
    23. Bertola, Giuseppe & Caballero, Ricardo, 1991. "Sustainable Intervention Policies and Exchange Rate Dynamics," CEPR Discussion Papers 504, C.E.P.R. Discussion Papers.
    24. De Grauwe, Paul, 1996. "How to Fix Conversion Rates at the Start of EMU," CEPR Discussion Papers 1530, C.E.P.R. Discussion Papers.
    25. Michael J. Brennan and Eduardo S. Schwartz., 1979. "A Continuous-Time Approach to the Pricing of Bonds," Research Program in Finance Working Papers 85, University of California at Berkeley.
    26. Lindberg, Hans & Soderlind, Paul, 1994. "Testing the basic target zone model on Swedish data 1982-1990," European Economic Review, Elsevier, vol. 38(7), pages 1441-1469, August.
    27. Paul Krugman & Marcus Miller, 1992. "Exchange Rate Targets and Currency Bands," NBER Books, National Bureau of Economic Research, Inc, number krug92-1.
    28. Yacine Ait-Sahalia, 2002. "Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach," Econometrica, Econometric Society, vol. 70(1), pages 223-262, January.
    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. Jeff Hamrick & Murad Taqqu, 2009. "Testing diffusion processes for non-stationarity," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(3), pages 509-551, July.
    2. Görgens, Maik & Thulin, Måns, 2014. "Bias-correction of the maximum likelihood estimator for the α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 78-86.
    3. Bernardo D’Auria & Alessandro Ferriero, 2020. "A Class of Itô Diffusions with Known Terminal Value and Specified Optimal Barrier," Mathematics, MDPI, vol. 8(1), pages 1-14, January.
    4. Zhao, Shoujiang & Liu, Qiaojing & Chen, Ting, 2018. "On the large deviation principle for maximum likelihood estimator of α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 143-150.
    5. Zhao, Shoujiang & Zhou, Yanping, 2013. "Sharp large deviations for the log-likelihood ratio of an α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2750-2758.

    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. repec:bla:germec:v:4:y:2003:i::p:433-457 is not listed on IDEAS
    2. Wilfling Bernd, 2003. "Interest Rate Volatility Prior to Monetary Union under Alternative Pre-Switch Regimes," German Economic Review, De Gruyter, vol. 4(4), pages 433-457, December.
    3. Zongwu Cai & Yongmiao Hong, 2013. "Some Recent Developments in Nonparametric Finance," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    4. repec:wyi:journl:002108 is not listed on IDEAS
    5. Jianqing Fan, 2004. "A selective overview of nonparametric methods in financial econometrics," Papers math/0411034, arXiv.org.
    6. Jean-Sébastien Pentecôte & Marc-Alexandre Sénégas, 2003. "Comment fixer les cours de change?. Annonces et correspondances maastrichtiennes," Recherches économiques de Louvain, De Boeck Université, vol. 69(1), pages 39-71.
    7. Kristensen, Dennis, 2010. "Pseudo-maximum likelihood estimation in two classes of semiparametric diffusion models," Journal of Econometrics, Elsevier, vol. 156(2), pages 239-259, June.
    8. repec:wyi:journl:002109 is not listed on IDEAS
    9. Wilfling, Bernd & Maennig, Wolfgang, 2001. "Exchange rate dynamics in anticipation of time-contingent regime switching: modelling the effects of a possible delay," Journal of International Money and Finance, Elsevier, vol. 20(1), pages 91-113, February.
    10. Radu Tunaru, 2015. "Model Risk in Financial Markets:From Financial Engineering to Risk Management," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9524, December.
    11. José Antonio Núñez. & Elizabeth Ortega., 2011. "Continuous Time Models of Interest Rate: Testing Peso-Dollar Exchange Rate," Economía: teoría y práctica, Universidad Autónoma Metropolitana, México, vol. 34(1), pages 43-63, Enero-Jun.
    12. Sutherland, Alan, 1995. "State- and time-contingent switches of exchange rate regime," Journal of International Economics, Elsevier, vol. 38(3-4), pages 361-374, May.
    13. Jun Yu & Peter C. B. Phillips, 2001. "A Gaussian approach for continuous time models of the short-term interest rate," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 1-3.
    14. Diep Duong & Norman Swanson, 2013. "Density and Conditional Distribution Based Specification Analysis," Departmental Working Papers 201312, Rutgers University, Department of Economics.
    15. Cai, Zongwu & Hong, Yongmiao, 2003. "Nonparametric Methods in Continuous-Time Finance: A Selective Review," SFB 373 Discussion Papers 2003,15, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    16. Mahdavi, Mahnaz, 2008. "A comparison of international short-term rates under no arbitrage condition," Global Finance Journal, Elsevier, vol. 18(3), pages 303-318.
    17. Das, Sanjiv Ranjan, 1998. "A direct discrete-time approach to Poisson-Gaussian bond option pricing in the Heath-Jarrow-Morton model," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 333-369, November.
    18. Bu, Ruijun & Cheng, Jie & Hadri, Kaddour, 2016. "Reducible diffusions with time-varying transformations with application to short-term interest rates," Economic Modelling, Elsevier, vol. 52(PA), pages 266-277.
    19. Jorgensen, Bjorn N. & Mikkelsen, Hans Ole ae, 1996. "An arbitrage free trilateral target zone model," Journal of International Money and Finance, Elsevier, vol. 15(1), pages 117-134, February.
    20. Lewis, Karen K, 1996. "Stochastic Regime Switching and Stabilizing Policies within Regimes," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 1(2), pages 71-85, April.
    21. Kozicki, Sharon & Tinsley, P. A., 2001. "Shifting endpoints in the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 613-652, June.
    22. Hiraki, Takato & Takezawa, Nobuya, 1997. "How sensitive is short-term Japanese interest rate volatility to the level of the interest rate?," Economics Letters, Elsevier, vol. 56(3), pages 325-332, November.
    23. Czellar, Veronika & Karolyi, G. Andrew & Ronchetti, Elvezio, 2007. "Indirect robust estimation of the short-term interest rate process," Journal of Empirical Finance, Elsevier, vol. 14(4), pages 546-563, September.

    More about this item

    Keywords

    Diffusion processes; Estimation; Exchange rates; EMU; Institutional frontloading; C13; C22; F31; F33;
    All these keywords.

    JEL classification:

    • F33 - International Economics - - International Finance - - - International Monetary Arrangements and Institutions
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

    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:spr:empeco:v:33:y:2007:i:1:p:23-39. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.