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Trend - transaction costs

2007 LIQUIDITY AND RISK MANAGEMENT Nicolae B. Garleanu, Lasse H. Pedersen

https://www.investmentpod.com/assets/uploads/whitepapers/AQR-A-Century-of-Trend-Following-Investing.pdf

appendix B

price impact

by JP Bouchaud

intuitively, why Turnover is inversely (square root) proportional to linear price impact?
Higher price sensitivity implies lower turnover?? perhaps, because it is a steady-state solution....