Automated Market Making and Loss-Versus-Rebalancing
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913365247393792 |
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| author | Milionis, Jason Moallemi, Ciamac C. Roughgarden, Tim Zhang, Anthony Lee |
| author_facet | Milionis, Jason Moallemi, Ciamac C. Roughgarden, Tim Zhang, Anthony Lee |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_06046 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Automated Market Making and Loss-Versus-Rebalancing Milionis, Jason Moallemi, Ciamac C. Roughgarden, Tim Zhang, Anthony Lee Mathematical Finance Optimization and Control Portfolio Management Pricing of Securities Trading and Market Microstructure 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. |
| title | Automated Market Making and Loss-Versus-Rebalancing |
| topic | Mathematical Finance Optimization and Control Portfolio Management Pricing of Securities Trading and Market Microstructure |
| url | https://arxiv.org/abs/2208.06046 |