Long Memory, Spurious Memory: Persistence in Range-Based Volatility of Exchange Rates

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Alia Afzal
  • Philipp Sibbertsen

Research Organisations

External Research Organisations

  • University of Arid Agriculture Rawalpindi
View graph of relations

Details

Original languageEnglish
Pages (from-to)789-811
Number of pages23
JournalOpen economies review
Volume34
Issue number4
Early online date26 Sept 2022
Publication statusPublished - Sept 2023

Abstract

This study considers the long memory and fractional integration in the range-based volatilities across 30 currencies against USD. Graphical analysis of the autocorrelation function at long lags and pole near zero frequencies in the periodogram suggests the existence of fractional integration. We apply semi-parametric methods to measure long-range dependence. We find a decrease in the memory estimates with an increase in the bandwidth, which indicates the presence of spurious memory rather true long memory. The hypothesis of long memory against the alternative of spurious memory is also tested by applying the different semi-parametric methods. Empirical results confirm the presence of spurious memory that may be a result of some shocks to the volatility estimator. Furthermore, the reduced memory estimates obtained by utilising an estimator accounting for level shifts also explains the inconsistency of the Local Whittle estimator. We also estimate the number of breaks for each series.

Keywords

    Exchange rate, Fractional integration, Level shifts, Long memory, Structural breaks, Volatility

ASJC Scopus subject areas

Cite this

Long Memory, Spurious Memory: Persistence in Range-Based Volatility of Exchange Rates. / Afzal, Alia; Sibbertsen, Philipp.
In: Open economies review, Vol. 34, No. 4, 09.2023, p. 789-811.

Research output: Contribution to journalArticleResearchpeer review

Afzal A, Sibbertsen P. Long Memory, Spurious Memory: Persistence in Range-Based Volatility of Exchange Rates. Open economies review. 2023 Sept;34(4):789-811. Epub 2022 Sept 26. doi: 10.1007/s11079-022-09686-2
Afzal, Alia ; Sibbertsen, Philipp. / Long Memory, Spurious Memory : Persistence in Range-Based Volatility of Exchange Rates. In: Open economies review. 2023 ; Vol. 34, No. 4. pp. 789-811.
Download
@article{373000aac6c1406ca3425ae87a6f6c30,
title = "Long Memory, Spurious Memory: Persistence in Range-Based Volatility of Exchange Rates",
abstract = "This study considers the long memory and fractional integration in the range-based volatilities across 30 currencies against USD. Graphical analysis of the autocorrelation function at long lags and pole near zero frequencies in the periodogram suggests the existence of fractional integration. We apply semi-parametric methods to measure long-range dependence. We find a decrease in the memory estimates with an increase in the bandwidth, which indicates the presence of spurious memory rather true long memory. The hypothesis of long memory against the alternative of spurious memory is also tested by applying the different semi-parametric methods. Empirical results confirm the presence of spurious memory that may be a result of some shocks to the volatility estimator. Furthermore, the reduced memory estimates obtained by utilising an estimator accounting for level shifts also explains the inconsistency of the Local Whittle estimator. We also estimate the number of breaks for each series.",
keywords = "Exchange rate, Fractional integration, Level shifts, Long memory, Structural breaks, Volatility",
author = "Alia Afzal and Philipp Sibbertsen",
note = "Funding Information: The authors are grateful for the comments and suggestions of two anonymous referees which clearly improved the paper.",
year = "2023",
month = sep,
doi = "10.1007/s11079-022-09686-2",
language = "English",
volume = "34",
pages = "789--811",
journal = "Open economies review",
issn = "0923-7992",
publisher = "Springer Netherlands",
number = "4",

}

Download

TY - JOUR

T1 - Long Memory, Spurious Memory

T2 - Persistence in Range-Based Volatility of Exchange Rates

AU - Afzal, Alia

AU - Sibbertsen, Philipp

N1 - Funding Information: The authors are grateful for the comments and suggestions of two anonymous referees which clearly improved the paper.

PY - 2023/9

Y1 - 2023/9

N2 - This study considers the long memory and fractional integration in the range-based volatilities across 30 currencies against USD. Graphical analysis of the autocorrelation function at long lags and pole near zero frequencies in the periodogram suggests the existence of fractional integration. We apply semi-parametric methods to measure long-range dependence. We find a decrease in the memory estimates with an increase in the bandwidth, which indicates the presence of spurious memory rather true long memory. The hypothesis of long memory against the alternative of spurious memory is also tested by applying the different semi-parametric methods. Empirical results confirm the presence of spurious memory that may be a result of some shocks to the volatility estimator. Furthermore, the reduced memory estimates obtained by utilising an estimator accounting for level shifts also explains the inconsistency of the Local Whittle estimator. We also estimate the number of breaks for each series.

AB - This study considers the long memory and fractional integration in the range-based volatilities across 30 currencies against USD. Graphical analysis of the autocorrelation function at long lags and pole near zero frequencies in the periodogram suggests the existence of fractional integration. We apply semi-parametric methods to measure long-range dependence. We find a decrease in the memory estimates with an increase in the bandwidth, which indicates the presence of spurious memory rather true long memory. The hypothesis of long memory against the alternative of spurious memory is also tested by applying the different semi-parametric methods. Empirical results confirm the presence of spurious memory that may be a result of some shocks to the volatility estimator. Furthermore, the reduced memory estimates obtained by utilising an estimator accounting for level shifts also explains the inconsistency of the Local Whittle estimator. We also estimate the number of breaks for each series.

KW - Exchange rate

KW - Fractional integration

KW - Level shifts

KW - Long memory

KW - Structural breaks

KW - Volatility

UR - http://www.scopus.com/inward/record.url?scp=85138806479&partnerID=8YFLogxK

U2 - 10.1007/s11079-022-09686-2

DO - 10.1007/s11079-022-09686-2

M3 - Article

AN - SCOPUS:85138806479

VL - 34

SP - 789

EP - 811

JO - Open economies review

JF - Open economies review

SN - 0923-7992

IS - 4

ER -