Research preview

The gold‑linked exchange‑traded fund recently displayed a textbook head‑and‑shoulders formation that culminated in a sharp decline. This article explains the geometry of the pattern, the mathematics behind the move, and how a quantitative trading team can embed the signal into systematic models. Recognising the Pattern in Real‑Time Data A head‑and‑shoulders chart consists of three peaks: a left shoulder, a higher head, and a right shoulder that roughly matches the first peak. The neckline is drawn by connecting the troughs that separate the shoulders from the head. When price breaks below this neckline, the pattern is considered complete and a downside move is expected....