Enigma in Economics
Vol. 4 No. 1 (2026): Enigma in Economics

Adaptive Quantile Calibration of Daily and Weekly Cycle-Low Forecasts in Bitcoin, S&P 500 Futures, and Gold

Muhammad Faiz (Department of Administrative Law, Seine Legal Institute, Manado, Indonesia)
Sonia Vernanda (Department of Mathematics Education, Emerald Education Center, Samarinda, Indonesia)



Article Info

Publish Date
21 Aug 2026

Abstract

Background. Market-cycle forecasts are vulnerable to hindsight because a low becomes identifiable only after subsequent price confirmation. Objective. This study evaluated whether an adaptive, confirmation-aware interval could attain at least 80% chronological forecast precision for daily cycle lows (DCLs) and weekly cycle lows (WCLs) in Bitcoin, S&P 500 futures, and gold. Methods. The Adaptive Quantile-Calibrated Cycle Window used only the latest 20 completed cycles. Its lower endpoint was the empirical 10th percentile of prior low-to-low durations, and its upper endpoint was the 90th percentile of prior-low-to-next-confirmation durations. Forecasts originating from 1 January 2021 through 14 July 2026 were evaluated sequentially, and the retrospective protocol was externally preregistered. Results. Fixed clocks achieved 70.9% DCL precision and 55.6% WCL precision. The adaptive interval achieved 109/127 DCL hits (85.8%; 95% CI 78.7%–90.8%) and 27/27 WCL hits (100.0%; 95% CI 87.5%–100.0%). Mean window width increased from 14.7 to 32.8 days for DCL and from 4.0 to 11.7 weeks for WCL. A wider 5th–95th percentile band produced 93.7% DCL precision with a 95% lower confidence bound of 88.1%. Conclusion. Adaptive interval calibration exceeded the 80% point target, but the gain depended on materially wider windows and a small WCL sample; prospective replication remains necessary.

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Journal Info

Abbrev

economy

Publisher

Subject

Humanities Economics, Econometrics & Finance Languange, Linguistic, Communication & Media

Description

Focus Enigma in Economics focused on the development of economics and management sciences for human well-being. Scope Enigma in Economics publishes articles which encompass all aspects of economics and management sciences, especially all type of original articles, review articles, narrative review, ...