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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

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 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

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

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

Uniswap is a decentralized exchange (DEX) and was first launched on November 2, 2018 on the Ethereum mainnet [1] and is part of an Ecosystem of products in Decentralized Finance (DeFi). It replaces a traditional order book type of trading…

交易与市场微观结构 · 定量金融 2021-06-29 Andreas A. Aigner , Gurvinder Dhaliwal

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

Decentralized Exchanges (DEXs) are new types of marketplaces leveraging Blockchain technology. They allow users to trade assets with Automatic Market Makers (AMM), using funds provided by liquidity providers, removing the need for order…

计算机科学与博弈论 · 计算机科学 2023-02-08 Yogev Bar-On , Yishay Mansour

Concentrated Liquidity Market Makers (CLMMs) represent a fundamental innovation in market microstructure, transforming liquidity provision from passive portfolio allocation to active risk management. This evolution creates significant…

数理金融 · 定量金融 2026-03-31 Andrey Urusov , Rostislav Berezovskiy , Anatoly Krestenko , Andrei Kornilov , Yury Yanovich

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

Uniswap v3 is the largest decentralized exchange for digital currencies. A novelty of its design is that it allows a liquidity provider (LP) to allocate liquidity to one or more closed intervals of the price of an asset instead of the full…

密码学与安全 · 计算机科学 2024-08-19 Zhou Fan , Francisco Marmolejo-Cossío , Daniel J. Moroz , Michael Neuder , Rithvik Rao , David C. Parkes

Liquidity Providers on Automated Market Makers generate millions of USD in transaction fees daily. However, the net value of a Liquidity Position is vulnerable to price changes in the underlying assets in the pool. The dominant measure of…

计算工程、金融与科学 · 计算机科学 2022-12-29 Adam Khakhar , Xi Chen

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

Decentralized exchanges are widely used platforms for trading crypto assets. The most common types work with automated market makers (AMM), allowing traders to exchange assets without needing to find matching counterparties. Thereby,…

综合经济学 · 经济学 2024-02-12 Matthias Hafner , Helmut Dietl

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

Decentralized exchanges (DEXs) provide a means for users to trade pairs of assets on-chain without the need for a trusted third party to effectuate a trade. Amongst these, constant function market maker DEXs such as Uniswap handle the most…

计算机科学与博弈论 · 计算机科学 2022-08-29 Zhou Fan , Francisco Marmolejo-Cossío , Ben Altschuler , He Sun , Xintong Wang , David C. Parkes

The limit order book mechanism has been the core trading mechanism of the modern financial market. In the cryptocurrency market, centralized exchanges also adopt this limit order book mechanism and a centralized matching engine dynamically…

计算工程、金融与科学 · 计算机科学 2022-12-21 Yeonwoo Jeong , Chanyoung Jeoung , Hosan Jeong , SangYoon Han , Juntae Kim

In this paper we propose a new robust algorithm to find the optimal static replicating portfolios for general nonlinear payoff functions and give the estimate of the rate of convergence that is absent in the literature. We choose the static…

计算金融 · 定量金融 2014-06-23 Jingtang Ma , Dongya Deng , Harry Zheng

Automated market makers with concentrated liquidity capabilities are programmable at the tick level. The maximization of earned fees, plus depreciated reserves, is a convex optimization problem whose vector solution gives the best provision…

投资组合管理 · 定量金融 2024-05-30 Corinne Powers

Concentrated liquidity automated market makers (AMMs), such as Uniswap v3, enable liquidity providers (LPs) to earn liquidity rewards by depositing tokens into liquidity pools. However, LPs often face significant financial losses driven by…

交易与市场微观结构 · 定量金融 2025-04-24 Simon Caspar Zeller , Paul-Niklas Ken Kandora , Daniel Kirste , Niclas Kannengießer , Steffen Rebennack , Ali Sunyaev
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