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With the emergence of decentralized finance, new trading mechanisms called Automated Market Makers have appeared. The most popular Automated Market Makers are Constant Function Market Makers. They have been studied both theoretically and…

交易与市场微观结构 · 定量金融 2023-11-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant

Liquidity providers are essential for the function of decentralized exchanges to ensure liquidity takers can be guaranteed a counterparty for their trades. However, liquidity providers investing in liquidity pools face many risks, the most…

交易与市场微观结构 · 定量金融 2023-01-18 Rohan Tangri , Peter Yatsyshin , Elisabeth A. Duijnstee , Danilo Mandic

To trade tokens in cryptoeconomic systems, automated market makers (AMMs) typically rely on liquidity providers (LPs) that deposit tokens in exchange for rewards. To profit from such rewards, LPs must use effective liquidity provisioning…

交易与市场微观结构 · 定量金融 2025-01-15 Thanos Drossos , Daniel Kirste , Niclas Kannengießer , Ali Sunyaev

In decentralized finance, any individual can pool their assets into an automated market maker (AMM) -- herein we focus on the constant product market maker (CPMM) -- in exchange for a claim on a fraction of future pool assets and fees…

数理金融 · 定量金融 2026-01-27 Maxim Bichuch , Zachary Feinstein

Constant product markets with concentrated liquidity (CL) are the most popular type of automated market makers. In this paper, we characterise the continuous-time wealth dynamics of strategic LPs who dynamically adjust their range of…

数理金融 · 定量金融 2024-06-14 Álvaro Cartea , Fayçal Drissi , Marcello Monga

This paper develops a robust mathematical framework for Constant Function Market Makers (CFMMs) by transitioning from traditional token reserve analyses to a coordinate system defined by price and intrinsic liquidity. We establish a…

数理金融 · 定量金融 2026-03-03 Jimmy Risk , Shen-Ning Tung , Tai-Ho Wang

This article analytically characterizes the impermanent loss of concentrated liquidity provision for automatic market makers in decentralised markets such as Uniswap. We propose two static replication formulas for the impermanent loss by a…

综合金融 · 定量金融 2023-03-03 Jun Deng , Hua Zong , Yun Wang

This work analytically characterizes impermanent loss for automated market makers (AMMs) in decentralized markets such as Uniswap or Balancer (CPMM). We derive a static replication formula for the pool's value using a combination of…

风险管理 · 定量金融 2025-03-31 Agustin Muñoz Gonzalez , Juan Ignacio Sequeira , Ariel Dembling

We study the problem of optimally hedging the price exposure of liquidity positions in constant-product automated market makers (AMMs) when the hedge is funded by collateralized borrowing. A liquidity provider (LP) who borrows tokens to…

投资组合管理 · 定量金融 2026-03-23 Atsushi Hane

Automated Market Makers (AMMs) are a central component of decentralized exchanges, yet their equilibrium foundations and microeconomic mechanisms remain incompletely understood. This paper develops a dynamic equilibrium framework for…

综合经济学 · 经济学 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

We examine how the introduction of concentrated liquidity has changed the liquidity provision market in automated market makers such as Uniswap. To this end, we compare average liquidity provider returns from trading fees before and after…

交易与市场微观结构 · 定量金融 2023-10-30 Robin Fritsch

The emergence of Concentrated Liquidity Market Makers (CLMMs) has made liquidity provision on decentralized exchanges an active and risk-sensitive task. However, the standalone profitability of liquidity provision remains unclear for…

交易与市场微观结构 · 定量金融 2026-04-27 Andrey Urusov , Rostislav Berezovskiy , Anatoly Krestenko , Andrei Kornilov

Automated market makers are a popular mechanism used on decentralized exchange, through which users trade assets with each other directly and automatically through a liquidity pool and a fixed pricing function. The liquidity provider…

数理金融 · 定量金融 2024-11-27 Xue Dong He , Chen Yang , Yutian Zhou

This article analytically characterizes the impermanent loss for automatic market makers in decentralized exchanges such as Uniswap or Balancer (CPMM). We present a theoretical static replication formula for the pool value using a…

数理金融 · 定量金融 2024-12-16 Agustín Muñoz González , Juan I. Sequeira y Ariel Dembling

We develop static and dynamic approaches for hedging of the impermanent loss (IL) of liquidity provision (LP) staked at Decentralised Exchanges (DEXes) which employ Uniswap V2 and V3 protocols. We provide detailed definitions and formulas…

数理金融 · 定量金融 2024-07-09 Alexander Lipton , Vladimir Lucic , Artur Sepp

We present a mathematical formulation of liquidity provision in decentralized exchanges. We focus on constant function market makers of utility indifference type, which include constant product market makers with concentrated liquidity as a…

交易与市场微观结构 · 定量金融 2025-02-05 Masaaki Fukasawa , Basile Maire , Marcus Wunsch

Automated market makers (AMMs) are smart contracts that automatically trade electronic assets according to a mathematical formula. This paper investigates how an AMM's formula affects the interests of liquidity providers, who endow the AMM…

其他计算机科学 · 计算机科学 2021-10-20 Daniel Engel , Maurice Herlihy

This paper studies liquid staking tokens (LSTs) on automated market makers (AMMs), both theoretically and empirically. LSTs are tokenized representations of staked assets on proof-of-stake blockchains. First, we model LST-liquidity on AMMs…

密码学与安全 · 计算机科学 2024-07-22 Krzysztof Gogol , Robin Fritsch , Malte Schlosser , Johnnatan Messias , Benjamin Kraner , Claudio Tessone

The standard approach for compensating liquidity providers on many decentralized exchanges (DEX) for serving as counter-party to swaps is through charging a small percentage of fees. The expected payoff from the cash flow of this mode of…

数理金融 · 定量金融 2022-09-07 Jin Hong Kuan

Automated market makers (AMMs) allocate fee revenue \textit{proportional} to the amount of liquidity investors deposit. In this paper, we study the economic consequences of the competition between passive liquidity providers (LPs) caused by…

计算机科学与博弈论 · 计算机科学 2024-08-06 Julian Ma , Davide Crapis
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