Brownian Motion - A5
Brownian Motion - A5
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Can market volatility be visualized as a physical path?
This visual transforms weekly U.S. stock market returns into a directional walk. Each trading week moves the path forward by a fixed distance while turning left for positive returns and right for negative returns. The turning angle is proportional to the magnitude of the weekly return. The path begins at the center and evolves according to the sequence of price movements, with colors shifting from dark blue-green in the 1970s to bright red in the 2020s. Extended periods of moderate gains generate smooth leftward arcs, while volatile markets produce sharp zigzags.
Data & Method
Weekly S&P 500 returns, 1975–2025, from the Kenneth R. French Data Library. Each step advances a fixed distance; turn angle = arctan(weekly return).
Product Specifications
Format: A5 (148 × 210 mm)
Orientation: Landscape
Paper: 350 g/m² uncoated paper
Printing: High-resolution digital print
Finish: Matte
Frame: Not included
Packaging: Flat protective sleeve
Production: Printed in France (Paris)
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