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Asymptotic Confidence Intervals for Impulse Responses of Near-Integrated Processes: An Application to Purchasing Power Parity

Author

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  • Nikolay Gospodinov

Abstract

Many economic time series are charecterized by high persistence which typically requires nonstandard limit theory for inference. This paper proposes a new method for constructing confidence intervals for the impulse response functions of nearly nonstationary processes. The method is based on inverting the acceptance region of the LR statistic evaluated under a sequence of null hypotheses of possible values for the impulse response. Under the null, the LR statistic can be represented as a ratio of functionals of Ornstein-Uhlenbeck processes and its asymptotic quantiles can be simulated easily. The method is extended to multivariate processes with near-unit roots. The empirical results for the real exchange rates show some support for 3-5 year half-lives reported by Rogoff (1996).

Suggested Citation

  • Nikolay Gospodinov, 2001. "Asymptotic Confidence Intervals for Impulse Responses of Near-Integrated Processes: An Application to Purchasing Power Parity," Computing in Economics and Finance 2001 136, Society for Computational Economics.
    • Handle: RePEc:sce:scecf1:136
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    Citations

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    Cited by:

    1. Rossi, Barbara, 2005. "Confidence Intervals for Half-Life Deviations From Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 432-442, October.
    2. Sofiane H. Sekioua, 2004. "Real interest parity (RIP) over the 20th century: New evidence based on confidence intervals for the dominant root and half-lives of shocks," Money Macro and Finance (MMF) Research Group Conference 2004 91, Money Macro and Finance Research Group.

    More about this item

    Keywords

    impulse responses; near-integrated processes; local-to-unity asymptotics; purchasing power parity;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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