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Staking has emerged as a crucial concept following Ethereum's transition to Proof-of-Stake consensus. The introduction of Liquid Staking Derivatives (LSDs) has effectively addressed the illiquidity issue associated with solo staking,…

Cryptography and Security · Computer Science 2024-10-29 Xihan Xiong , Zhipeng Wang , Qin Wang

The transition of Ethereum from a Proof-of-Work (PoW) to a Proof-of-Stake (PoS) consensus mechanism introduces a transformative approach to blockchain validation, offering enhanced scalability, energy efficiency, and security. However, this…

Cryptography and Security · Computer Science 2024-12-17 Li Li

Liquid staking has become the largest category of decentralized finance protocols in terms of total value locked. However, few studies exist on its implementation designs or underlying risks. The liquid staking protocols allow for earning…

Cryptography and Security · Computer Science 2024-01-30 Krzysztof Gogol , Benjamin Kraner , Malte Schlosser , Tao Yan , Claudio Tessone , Burkhard Stiller

Financial speculators often seek to increase their potential gains with leverage. Debt is a popular form of leverage, and with over 39.88B USD of total value locked (TVL), the Decentralized Finance (DeFi) lending markets are thriving.…

General Finance · Quantitative Finance 2021-10-04 Kaihua Qin , Liyi Zhou , Pablo Gamito , Philipp Jovanovic , Arthur Gervais

Permissionless Proof-of-Stake (PoS) economic security is predicated on the high cost of violating consensus safety or liveness. We show that liquid staking introduces additional risks that are not captured by standard PoS economic security…

Computer Science and Game Theory · Computer Science 2026-05-05 Sen Yang , Aviv Yaish , Arthur Gervais , Fan Zhang

We introduce a micro-velocity framework for analysing the on-chain circulation of Lidos liquid-staking tokens, stETH, and its wrapped ERC-20 form, wstETH. By reconstructing full transfer and share-based accounting histories, we compute…

Emerging Technologies · Computer Science 2025-08-22 Benjamin Kraner , Luca Pennella , Nicolò Vallarano , Claudio J. Tessone

We develop a mathematical framework to optimize leveraged staking ("loopy") strategies in Decentralized Finance (DeFi), in which a staked asset is supplied as collateral, the underlying is borrowed and re-staked, and the loop can be…

Mathematical Finance · Quantitative Finance 2026-01-21 Bastien Baude , Vincent Danos , Hamza El Khalloufi

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…

Cryptography and Security · Computer Science 2024-07-22 Krzysztof Gogol , Robin Fritsch , Malte Schlosser , Johnnatan Messias , Benjamin Kraner , Claudio Tessone

Layer-2 (L2) blockchains inherit Ethereums security guarantees while reducing gas fees. As a result, they are gaining traction among traders at Automated Market Makers (AMMs), sparking debate over whether they contribute to liquidity…

Computational Engineering, Finance, and Science · Computer Science 2025-03-14 Krzysztof Gogol , Manvir Schneider , Claudio Tessone , Benjamin Livshits

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

As of July 15, 2023, Ethererum, which is a Proof-of-Stake (PoS) blockchain [1] has around 410 Billion USD in total assets on chain (popularly referred to as total-value-locked, TVL) but has only 33 Billion USD worth of ETH staked in…

Cryptography and Security · Computer Science 2024-01-12 Soubhik Deb , Robert Raynor , Sreeram Kannan

This paper examines how various categories of Ethereum stakers respond to changes in the consensus issuance schedule, and the potential impact of such changes on the composition of the staking market. To this end, we have develop and…

General Economics · Economics 2025-07-22 Juan Beccuti , Thunj Chantramonklasri , Matthias Hafner , Nicolas Oderbolz

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

A leveraged exchange traded fund (LETF) is an exchange traded fund that uses financial derivatives to amplify the price changes of a basket of goods. In this paper, we consider the robust hedging of European options on a LETF, finding…

Pricing of Securities · Quantitative Finance 2017-02-24 Alexander M. G. Cox , Sam M. Kinsley

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

We formulate and solve stochastic control problems that model the core yield-generating strategy of the Ethena protocol, a decentralized finance (DeFi) stablecoin that earns yield by combining a long position in staked Ethereum (stETH) with…

Mathematical Finance · Quantitative Finance 2026-05-13 Matthew Lorig

We identify the slow liquidity drain (SLID) scam, an insidious and highly profitable threat to decentralized finance (DeFi), posing a large-scale, persistent, and growing risk to the ecosystem. Unlike traditional scams such as rug pulls or…

Cryptography and Security · Computer Science 2025-08-07 Minh Trung Tran , Nasrin Sohrabi , Zahir Tari , Qin Wang , Minhui Xue , Xiaoyu Xia

This paper presents hedging strategies for European and exotic options in a Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con- structed under different market assumptions, such as the existence of power jump…

Portfolio Management · Quantitative Finance 2008-12-10 Wing Yan Yip , Sofia Olhede , David Stephens

Liquidity providers (LPs) on decentralized exchanges (DEXs) can protect themselves from adverse selection risk by updating their positions more frequently. However, repositioning is costly, because LPs have to pay gas fees for each update.…

Trading and Market Microstructure · Quantitative Finance 2024-03-20 Basile Caparros , Amit Chaudhary , Olga Klein

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle
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