Automated Market Making and Loss-Versus-Rebalancing
Mathematical Finance
2024-05-29 v5 Optimization and Control
Portfolio Management
Pricing of Securities
Trading and Market Microstructure
Abstract
We consider the market microstructure of automated market makers (AMMs) from the perspective of liquidity providers (LPs). Our central contribution is a ``Black-Scholes formula for AMMs''. We identify the main adverse selection cost incurred by LPs, which we call ``loss-versus-rebalancing'' (LVR, pronounced ``lever''). LVR captures costs incurred by AMM LPs due to stale prices that are picked off by better informed arbitrageurs. We derive closed-form expressions for LVR applicable to all automated market makers. Our model is quantitatively realistic, matching actual LP returns empirically, and shows how CFMM protocols can be redesigned to reduce or eliminate LVR.
Keywords
Cite
@article{arxiv.2208.06046,
title = {Automated Market Making and Loss-Versus-Rebalancing},
author = {Jason Milionis and Ciamac C. Moallemi and Tim Roughgarden and Anthony Lee Zhang},
journal= {arXiv preprint arXiv:2208.06046},
year = {2024}
}
Comments
63 pages, 7 figures