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We investigate the behavior of liquidity providers (LPs) by modeling a decentralized cryptocurrency exchange (DEX) based on Uniswap v3. LPs with heterogeneous characteristics choose optimal liquidity positions subject to uncertainty…

Trading and Market Microstructure · Quantitative Finance 2024-04-16 Erhan Bayraktar , Asaf Cohen , April Nellis

As of August 2022, blockchain-based assets boast a combined market capitalisation exceeding one trillion USD, among which the most prominent are the decentralised autonomous organisation (DAO) tokens associated with decentralised finance…

General Economics · Economics 2025-05-08 Teng Andrea Xu , Jiahua Xu , Kristof Lommers

Decentralized Finance (DeFi) has reshaped the possibilities of reserve banking in the form of the Collateralized Debt Position (CDP). Key to the safety of CDPs is the money supply architecture that enables issued debt to maintain its value.…

Risk Management · Quantitative Finance 2024-07-19 Yuval Boneh

Decentralized exchanges (DEXs) are crucial to decentralized finance (DeFi) as they enable trading without intermediaries. However, they face challenges like impermanent loss (IL), where liquidity providers (LPs) see their assets' value…

Computer Science and Game Theory · Computer Science 2026-03-04 Irina Lebedeva , Dmitrii Umnov , Yury Yanovich , Ignat Melnikov , George Ovchinnikov

Three traits of decentralized finance are studied. First, the market impact function is derived for optimal-growth liquidity providers. For a standard random walk, the classic square-root impact is recovered. An extension is then derived to…

Portfolio Management · Quantitative Finance 2026-01-19 B. K. Meister

Smart contracts led to the emergence of the decentralized finance (DeFi) marketplace within blockchain ecosystems, where diverse participants engage in financial activities. In traditional finance, there are possibilities to create values,…

Cryptography and Security · Computer Science 2024-06-21 Rasheed , Yash Chaurasia , Parth Desai , Sujit Gujar

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…

Portfolio Management · Quantitative Finance 2026-03-23 Atsushi Hane

Financial options are fundamental to traditional markets, enabling strategies ranging from hedging to speculating. Yet, while the Automated Market Maker paradigm has revolutionized decentralized spot markets, no equivalent standard has…

Mathematical Finance · Quantitative Finance 2026-05-20 Maxim Bichuch , Zachary Feinstein

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

Decentralized Finance (DeFi) refers to financial services that are not necessarily related to crypto-currencies. By employing blockchain for security and integrity, DeFi creates new possibilities that attract retail and institution users,…

Cryptography and Security · Computer Science 2024-04-18 Krzysztof Gogol , Christian Killer , Malte Schlosser , Thomas Bocek , Burkhard Stiller , Claudio Tessone

We provide an overview of decentralized protocols like Compound and Aave that offer collateralized loans for cryptoasset investors. Compound and Aave are two of the most important application in the decentralized finance (DeFi) ecosystem.…

General Finance · Quantitative Finance 2021-08-02 Carlos Castro-Iragorri , Julian Ramirez , Sebastian Velez

Auto-deleveraging (ADL) mechanisms are a critical yet understudied component of risk management on cryptocurrency futures exchanges. When available margin and other loss-absorbing resources are insufficient to cover losses following large…

Risk Management · Quantitative Finance 2026-03-18 Steven Campbell , Natascha Hey , Ciamac C. Moallemi , Marcel Nutz

Decentralized Finance (DeFi) is a new paradigm in the creation, distribution, and utilization of financial services via the integration of blockchain technology. Our research conducts a comprehensive introduction and meticulous…

Cryptography and Security · Computer Science 2023-12-04 Erya Jiang , Bo Qin , Qin Wang , Zhipeng Wang , Qianhong Wu , Jian Weng , Xinyu Li , Chenyang Wang , Yuhang Ding , Yanran Zhang

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…

Mathematical Finance · Quantitative Finance 2024-06-14 Álvaro Cartea , Fayçal Drissi , Marcello Monga

This paper compares mathematical models for automated market makers including logarithmic market scoring rule (LMSR), liquidity sensitive LMSR (LS-LMSR), constant product/mean/sum, and others. It is shown that though LMSR may not be a good…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Yongge Wang

Decentralized lending protocols within the decentralized finance ecosystem enable the lending and borrowing of crypto-assets without relying on traditional intermediaries. Interest rates in these protocols are set algorithmically and…

Mathematical Finance · Quantitative Finance 2025-02-28 Bastien Baude , Damien Challet , Ioane Muni Toke

Liquid staking and restaking represent recent innovations in Decentralized Finance (DeFi) that garnered user interest and capital. Liquid Staking Tokens (LSTs), tokenized representations of staked tokens on Proof-of-Stake (PoS) blockchains,…

Cryptography and Security · Computer Science 2024-12-30 Krzysztof Gogol , Yaron Velner , Benjamin Kraner , Claudio Tessone

Yield farming represents an immensely popular asset management activity in decentralized finance (DeFi). It involves supplying, borrowing, or staking crypto assets to earn an income in forms of transaction fees, interest, or participation…

Portfolio Management · Quantitative Finance 2022-12-16 Jiahua Xu , Yebo Feng

Flash Loan attack can grab millions of dollars from decentralized vaults in one single transaction, drawing increasing attention from the Decentralized Finance (DeFi) players. It has also demonstrated an exciting opportunity that a huge…

Computational Finance · Quantitative Finance 2021-02-02 Yixin Cao , Chuanwei Zou , Xianfeng Cheng

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…

Computational Engineering, Finance, and Science · Computer Science 2022-12-21 Yeonwoo Jeong , Chanyoung Jeoung , Hosan Jeong , SangYoon Han , Juntae Kim