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Robustness of stationary tests under long-memory alternatives

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  • Lima, Luiz Renato Regis de Oliveira
  • Xiao, Zhijie

Abstract

This paper investigates the presence of long memory in financiaI time series using four test statistics: V/S, KPSS, KS and modified R/S. There has been a large amount of study on the long memory behavior in economic and financiaI time series. However, there is still no consensus. We argue in this paper that spurious short-term memory may be found due to the incorrect use of data-dependent bandwidth to estimating the longrun variance. We propose a partially adaptive lag truncation procedure that is robust against the presence of long memory under the alternative hypothesis and revisit several economic and financiaI time series using the proposed bandwidth choice. Our results indicate the existence of spurious short memory in real exchange rates when Andrews' formula is employed, but long memory is detected when the proposed lag truncation procedure is used. Using stock market data, we also found short memory in returns and long memory in volatility.

Suggested Citation

  • Lima, Luiz Renato Regis de Oliveira & Xiao, Zhijie, 2004. "Robustness of stationary tests under long-memory alternatives," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 541, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    • Handle: RePEc:fgv:epgewp:541
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    Cited by:

    1. Lujia Bai & Weichi Wu, 2021. "Detecting long-range dependence for time-varying linear models," Papers 2110.08089, arXiv.org, revised Mar 2023.
    2. Flôres Junior, Renato Galvão, 2004. "On the use (fulness) of CGE modelling in trade negotiations and policy," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 564, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    3. Francis Ahking, 2010. "Non-parametric tests of real exchange rates in the post-Bretton Woods era," Empirical Economics, Springer, vol. 39(2), pages 439-456, October.

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