Dynamic Multifractal Efficiency in Cryptocurrency Markets Across Global Shocks: The U.S.–Iran Conflict in Comparative Perspective

This study applies a prespecified dynamic MFDFA workflow across pandemic, geopolitical-conflict, and tariff-policy regimes for ten non-stable, long-history cryptoassets selected ex post from the 23 July 2026 market-cap ranking. The common sample comprises 3155 daily log returns per asset from 2 December 2017 to 22 July 2026; the final endpoint regime includes the U.S.–Iran conflict. The estimator uses q=−10,−8,…,10, linear detrending, 22 scales from 16 to N10, adjacent-secant Legendre transformation, a cubic spectrum peak, and 500-day windows stepped by 21 days plus a terminal endpoint. Full-sample IE=|α0−0.5| ranges from 0.01397 (LINK) to 0.08706 (BNB), and observed width ranges from 0.32625 to 0.74678. The controlled incremental U.S.–Iran endpoint coefficient is −0.02734 (two-way clustered SE 0.02369; p=0.2489), with asset-cluster t(9) interval [−0.08226, 0.02759]. Quantile estimates range from +0.00206 at the 0.10 quantile to −0.04769 at the 0.90 quantile; all five 999-replication asset-cluster bootstrap percentile intervals include zero. Exact rolling sensitivities are negative for the 500/14, 500/30, and 730/30 designs but positive for the 250/21 design, and every small-cluster interval includes zero. Direct spectrum-width contrasts also remain nonsignificant after Holm adjustment. None of ten observed widths survives BH correction in 200 shuffled-return surrogates per asset (2000 fits in total). The results document heterogeneous and specification-sensitive dynamic multifractal patterns, not isolated or causal crisis effects.

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Journal
Mathematics
Published
2026-08-21
DOI
https://doi.org/10.3390/math14163016
Primary Topic
Complex Systems and Time Series Analysis
Type
article
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article

Dynamic Multifractal Efficiency in Cryptocurrency Markets Across Global Shocks: The U.S.–Iran Conflict in Comparative Perspective

Fernando Henrique Antunes de Araujo, Milena Kojić, Petar Mitić, Fábio Sandro dos Santos et al.
Mathematics
Complex Systems and Time Series Analysis
article

Dynamic Multifractal Efficiency in Cryptocurrency Markets Across Global Shocks: The U.S.–Iran Conflict in Comparative Perspective

Fernando Henrique Antunes de Araujo, Milena Kojić, Petar Mitić, Fábio Sandro dos Santos, Kerolly Kedma Felix do Nascimento
article en

Abstract

This study applies a prespecified dynamic MFDFA workflow across pandemic, geopolitical-conflict, and tariff-policy regimes for ten non-stable, long-history cryptoassets selected ex post from the 23 July 2026 market-cap ranking. The common sample comprises 3155 daily log returns per asset from 2 December 2017 to 22 July 2026; the final endpoint regime includes the U.S.–Iran conflict. The estimator uses q=−10,−8,…,10, linear detrending, 22 scales from 16 to N10, adjacent-secant Legendre transformation, a cubic spectrum peak, and 500-day windows stepped by 21 days plus a terminal endpoint. Full-sample IE=|α0−0.5| ranges from 0.01397 (LINK) to 0.08706 (BNB), and observed width ranges from 0.32625 to 0.74678. The controlled incremental U.S.–Iran endpoint coefficient is −0.02734 (two-way clustered SE 0.02369; p=0.2489), with asset-cluster t(9) interval [−0.08226, 0.02759]. Quantile estimates range from +0.00206 at the 0.10 quantile to −0.04769 at the 0.90 quantile; all five 999-replication asset-cluster bootstrap percentile intervals include zero. Exact rolling sensitivities are negative for the 500/14, 500/30, and 730/30 designs but positive for the 250/21 design, and every small-cluster interval includes zero. Direct spectrum-width contrasts also remain nonsignificant after Holm adjustment. None of ten observed widths survives BH correction in 200 shuffled-return surrogates per asset (2000 fits in total). The results document heterogeneous and specification-sensitive dynamic multifractal patterns, not isolated or causal crisis effects.

MathematicsVol. 14(16)
Florida International University (US), Instituto Federal de Educação Ciência e Tecnologia da Paraíba (BR), Universidade Federal do Piauí (BR), Universidade Federal do Cariri (BR), Institute of Economic Sciences (RS), Universidade Regional do Cariri (BR)
Openalex Percentile: Top 5%
Complex Systems and Time Series Analysis
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