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This paper develops a model of liquidity provision in financial markets by adapting the Madhavan, Richardson, and Roomans (1997) price formation model to realistic order books with quote discretization and liquidity rebates. We postulate…

交易与市场微观结构 · 定量金融 2016-08-08 Julius Bonart , Fabrizio Lillo

We construct an utility-based dynamic asset pricing model for a limit order market. The price is nonlinear in volume and subject to market impact. We solve an optimal hedging problem under the market impact and derive the dynamics of the…

证券定价 · 定量金融 2014-10-31 Masaaki Fukasawa

Automated Market Makers (AMMs) are major centers of matching liquidity supply and demand in Decentralized Finance. Their functioning relies primarily on the presence of liquidity providers (LPs) incentivized to invest their assets into a…

机器学习 · 计算机科学 2024-04-30 Viraj Nadkarni , Jiachen Hu , Ranvir Rana , Chi Jin , Sanjeev Kulkarni , Pramod Viswanath

We propose a hedging approach for general contingent claims when liquidity is a concern and trading is subject to transaction cost. Multiple assets with different liquidity levels are available for hedging. Our risk criterion targets a…

数理金融 · 定量金融 2018-07-02 Panagiotis Christodoulou , Nils Detering , Thilo Meyer-Brandis

We investigate the most common type of blockchain-based decentralized exchange, which are known as constant function market makers (CFMMs). We examine the the market microstructure around CFMMs and present a model for valuing the liquidity…

密码学与安全 · 计算机科学 2023-06-21 Richard Dewey , Craig Newbold

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

Decentralised exchanges (DEXs) have transformed trading by enabling trustless, permissionless transactions, yet they face significant challenges such as impermanent loss and slippage, which undermine profitability for liquidity providers…

交易与市场微观结构 · 定量金融 2025-04-10 Oliver Tronn Scott-Simons , Chris Colman , FrostByte

We study liquidity on decentralized exchanges (DEXs), identifying factors at the platform, blockchain, token pair, and liquidity pool levels with predictive power for market depth metrics. We introduce the v2 counterfactual spread metric, a…

交易与市场微观结构 · 定量金融 2025-01-20 Brian Z. Zhu , Dingyue Liu , Xin Wan , Gordon Liao , Ciamac C. Moallemi , Brad Bachu

Uniswap is a Constant Product Market Maker built around liquidity pools, where pairs of tokens are exchanged subject to a fee that is proportional to the size of transactions. At the time of writing, there exist more than 6,000 pools…

交易与市场微观结构 · 定量金融 2023-02-01 Deborah Miori , Mihai Cucuringu

Approximations to utility indifference prices are provided for a contingent claim in the large position size limit. Results are valid for general utility functions on the real line and semi-martingale models. It is shown that as the…

证券定价 · 定量金融 2013-12-12 Scott Robertson

AMMs are autonomous smart contracts deployed on a blockchain that make markets between different assets that live on that chain. In this paper we are examining a specific class of AMMs called Constant Function Market Makers whose trading…

交易与市场微观结构 · 定量金融 2021-11-18 Stefan Loesch , Nate Hindman , Mark B Richardson , Nicholas Welch

Decentralized finance (DeFi) has revolutionized the financial landscape, with protocols like Uniswap offering innovative automated market-making mechanisms. This article explores the development of a backtesting framework specifically…

数理金融 · 定量金融 2024-10-15 Andrey Urusov , Rostislav Berezovskiy , Yury Yanovich

Decentralized exchanges using automated market makers create arbitrage opportunities with centralized exchanges, where gas fees and transaction ordering are critical. Existing models largely overlook competition among arbitrageurs, despite…

数理金融 · 定量金融 2026-02-27 Xue Dong He , Chen Yang , Yutian Zhou

We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader-follower…

交易与市场微观结构 · 定量金融 2025-03-31 Alif Aqsha , Philippe Bergault , Leandro Sánchez-Betancourt

One of the exciting recent developments in decentralized finance (DeFi) has been the development of decentralized cryptocurrency exchanges that can autonomously handle conversion between different cryptocurrencies. Decentralized exchange…

交易与市场微观结构 · 定量金融 2021-01-11 Bhaskar Krishnamachari , Qi Feng , Eugenio Grippo

This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with…

数理金融 · 定量金融 2017-10-03 Laurence Carassus , Romain Blanchard

We study a robust utility maximization problem in a general discrete-time frictionless market under quasi-sure no-arbitrage. The investor is assumed to have a random and concave utility function defined on the whole real-line. She also…

数理金融 · 定量金融 2024-02-28 Laurence Carassus , Massinissa Ferhoune

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected…

投资组合管理 · 定量金融 2010-03-17 Constantinos Kardaras , Gordan Zitkovic

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error.…

计算金融 · 定量金融 2016-04-13 Christophe Michel , Victor Reutenauer , Denis Talay , Etienne Tanré

We study the dual formulation of the utility maximization problem in incomplete markets when the utility function is finitely valued on the whole real line. We extend the existing results in this literature in two directions. First, we…

概率论 · 数学 2008-12-10 B. Bouchard , N. Touzi , A. Zeghal