Closed-form solutions for generic N-token AMM arbitrage

Autor:	Willetts, Matthew, Harrington, Christian
Rok vydání:	2024
Předmět:	Quantitative Finance - Trading and Market Microstructure Quantitative Finance - Mathematical Finance
Druh dokumentu:	Working Paper
Popis:	Convex optimisation has provided a mechanism to determine arbitrage trades on automated market markets (AMMs) since almost their inception. Here we outline generic closed-form solutions for $N$-token geometric mean market maker pool arbitrage, that in simulation (with synthetic and historic data) provide better arbitrage opportunities than convex optimisers and is able to capitalise on those opportunities sooner. Furthermore, the intrinsic parallelism of the proposed approach (unlike convex optimisation) offers the ability to scale on GPUs, opening up a new approach to AMM modelling by offering an alternative to numerical-solver-based methods. The lower computational cost of running this new mechanism can also enable on-chain arbitrage bots for multi-asset pools. Comment: 6 pages plus appendix
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.06731 Zobrazit plný text záznamu View this record from Arxiv