Cantilever Risk: A Quantitative Structural-Engineering Framework for Concentration and Leverage Failure in Hedge Funds | Zenodo
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Published August 2, 2026
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Cantilever Risk: A Quantitative Structural-Engineering Framework for Concentration and Leverage Failure in Hedge Funds
Authors/Creators
Xu, Zhixuan<br>(Researcher)1
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1.
University of Waterloo
Description
In this paper, we develop a structural-engineering analogy based on the cantilever-beam relation M = P × L into a closed-form framework for modelling leverage and concentration risk in hedge fund portfolios. We derive a critical-drawdown threshold for maintenance-margin breach, a correlation-based lever arm for thematic concentration, a dimensionless safety factor SF, and a characteristic time-to-threshold relation τ ≈ SF². We apply the framework to the reported late-July 2026 collapse of Situational Awareness LP. Under illustrative assumptions of approximately 4× leverage and substantial concentration in AI-infrastructure exposures, the model yields SF ≈ 0.70 and a characteristic threshold time of roughly two weeks. This suggests that the liquid leveraged book was unable, under the model assumptions, to withstand a one-standard-deviation monthly move. We also introduce a golden-ratio taper as a concentration benchmark and a square-root market-impact model for estimating forced-liquidation costs.
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Keywords
Hedge funds
EuroSciVoc
Structural engineering
Mathematics
Quantitative analysis
MeSH
Risk Management
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DOI
10.5281/zenodo.21997550
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Resource type<br>Preprint
Publisher<br>Zenodo
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English
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Creative Commons Attribution 4.0 International
The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited.
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Copyright
Copyright (C) 2026 Zhixuan Xu
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Created
August 18, 2026
Modified
August 18, 2026
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