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Corrigendum to “A Gaussian Approach for Continuous Time Models of the Short Term Interest Rate"

Author

Listed:
  • Peter C.B. Phillips

    () (Yale University)

  • Jun Yu

    () (School of Economics, Singapore Management University)

Abstract

An error is corrected in Yu and Phillips (2001) (Econometrics Journal, 4, 210-224) where a time transformation was used to induce Gaussian disturbances in the discrete time equivalent model. It is shown that the error process in this model is not a martingale and the Dambis, Dubins-Schwarz (DDS) theorem is not directly applicable. However, a detrended error process is a martingale, the DDS theorem is applicable, and the corresponding stopping time correctly induces Gaussianity. We show that the two stopping time sequences differ by O(a2), where a is the pre-specified normalized timing constant.

Suggested Citation

  • Peter C.B. Phillips & Jun Yu, 2010. "Corrigendum to “A Gaussian Approach for Continuous Time Models of the Short Term Interest Rate"," Working Papers 18-2010, Singapore Management University, School of Economics.
  • Handle: RePEc:siu:wpaper:18-2010
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    File URL: https://mercury.smu.edu.sg/rsrchpubupload/17836/py_corr08.pdf
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    References listed on IDEAS

    as
    1. Ricardo J. Caballero & Emmanuel Farhi & Pierre-Olivier Gourinchas, 2008. "An Equilibrium Model of "Global Imbalances" and Low Interest Rates," American Economic Review, American Economic Association, pages 358-393.
    2. Emmanuel Farhi & Ricardo Caballero & Pierre-Olivier Gourinchas, "undated". "Financial Crash, Commodity Prices and Global Imbalances," Working Paper 20933, Harvard University OpenScholar.
    3. Peter C. B. Phillips & Yangru Wu & Jun Yu, 2011. "EXPLOSIVE BEHAVIOR IN THE 1990s NASDAQ: WHEN DID EXUBERANCE ESCALATE ASSET VALUES?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 201-226, February.
    4. Dean Baker, 2002. "The Run-up in Home Prices: A Bubble," Challenge, Taylor & Francis Journals, vol. 45(6), pages 93-119.
    5. Behzad T. Diba & Herschel I. Grossman, 1985. "Rational Bubbles in Stock Prices?," NBER Working Papers 1779, National Bureau of Economic Research, Inc.
    6. Andrew Ang & Geert Bekaert, 2001. "Stock Return Predictability: Is it There?," NBER Working Papers 8207, National Bureau of Economic Research, Inc.
    7. Phillips, Peter C.B. & Magdalinos, Tassos, 2009. "Unit Root And Cointegrating Limit Theory When Initialization Is In The Infinite Past," Econometric Theory, Cambridge University Press, pages 1682-1715.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Nonlinear Diffusion; Normalizing Transformation; Level Effect; DDS Theorem.;

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