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Constant-product market making functions were first introduced by Hayden Adams in 2017 to create Uniswap, a decentralised exchange on Ethereum. This enables users to exchange assets at any given rate. Some variations such as Balancer and…

计算机科学与博弈论 · 计算机科学 2023-01-23 Théodore Conrad , Arthur Vinciguerra , Guillaume Méroué

This work takes up the challenges of utility maximization problem when the market is indivisible and the transaction costs are included. First there is a so-called solvency region given by the minimum margin requirement in the problem…

投资组合管理 · 定量金融 2010-03-16 Qingshuo Song , G. Yin , Chao Zhu

Geometric Mean Market Makers (G3M) such as Uniswap, Sushiswap or Balancer are key building blocks of the nascent Decentralised Finance system. We establish non-arbitrage bounds for the wealth process of such Automated Market Makers in the…

投资组合管理 · 定量金融 2022-06-08 Nassib Boueri

Serverless computing platforms currently rely on basic pricing schemes that are static and do not reflect customer feedback. This leads to significant inefficiencies from a total utility perspective. As one of the fastest-growing cloud…

分布式、并行与集群计算 · 计算机科学 2022-01-26 Vipul Gupta , Soham Phade , Thomas Courtade , Kannan Ramchandran

In this paper, we study decentralized decision-making where agents optimize private objectives under incomplete information and imperfect public monitoring, in a non-cooperative setting. By shaping utilities-embedding shadow prices or…

计算机科学与博弈论 · 计算机科学 2025-10-31 David Smith , Jie Dong , Yizhou Yang

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model, and provides two linear approximations for the utility indifference price. The key tool is a probabilistic representation for the…

投资组合管理 · 定量金融 2014-04-01 Vicky Henderson , Gechun Liang

The Uniswap is a Decentralized Exchange (DEX) protocol that facilitates automatic token exchange without the need for traditional order books. Every pair of tokens forms a liquidity pool on Uniswap, and each token can be paired with any…

计算工程、金融与科学 · 计算机科学 2025-03-12 Tao Yan , Claudio J. Tessone

This work addresses the problem of optimal pricing and hedging of a European option on an illiquid asset Z using two proxies: a liquid asset S and a liquid European option on another liquid asset Y. We assume that the S-hedge is dynamic…

证券定价 · 定量金融 2012-05-17 Igor Halperin , Andrey Itkin

We propose an option approach for pricing bond illiquidity that is reminiscent of the celebrated work of Longstaff (1995) on the non-marketability of some non-dividend-paying shares in IPOs. This approach describes a quite common situation…

证券定价 · 定量金融 2020-05-07 Roberto Baviera , Aldo Nassigh , Emanuele Nastasi

We study the problem of optimal liquidity withdrawal for a representative liquidity provider (LP) in an automated market maker (AMM). LPs earn fees from trading activity but are exposed to impermanent loss (IL) due to price fluctuations.…

交易与市场微观结构 · 定量金融 2025-10-21 Philippe Bergault , Sébastien Bieber , Leandro Sánchez-Betancourt

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

证券定价 · 定量金融 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

数理金融 · 定量金融 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

We present a formal framework for the aggregation of financial markets mediated by arbitrage. Our main tool is to characterize markets via utility functions and to employ a one-to-one correspondence to limit order book states. Inspired by…

数理金融 · 定量金融 2024-09-10 Georg Menz , Moritz Voß

This research investigates liquidity dynamics in fractional ownership markets, focusing on illiquid alternative investments traded on a FinTech platform. By leveraging empirical data and employing agent-based modeling (ABM), the study…

交易与市场微观结构 · 定量金融 2024-12-05 Lars Fluri , A. Ege Yilmaz , Denis Bieri , Thomas Ankenbrand , Aurelio Perucca

For utility functions $u$ finite valued on $\mathbb{R}$, we prove a duality formula for utility maximization with random endowment in general semimartingale incomplete markets. The main novelty of the paper is that possibly non locally…

证券定价 · 定量金融 2009-06-02 Sara Biagini , Marco Frittelli , Matheus R. Grasselli

Modern market management systems continue to evolve due to the intentions to improve system security and reliability. This evolvement has been leading to a transition of market auction models from a deterministic structure with…

系统与控制 · 电气工程与系统科学 2021-02-22 Mohammad Ghaljehei , Mojdeh Khorsand

This paper presents a stochastic model for discrete-time trading in financial markets where trading costs are given by convex cost functions and portfolios are constrained by convex sets. The model does not assume the existence of a cash…

证券定价 · 定量金融 2010-06-24 Teemu Pennanen

We apply the concepts of utility based pricing and hedging of derivatives in stochastic volatility markets and introduce a new class of "reciprocal affine" models for which the indifference price and optimal hedge portfolio for pure…

概率论 · 数学 2008-12-02 M. R. Grasselli , T. R. Hurd

We treat utility maximization from terminal wealth for an agent with utility function $U:\mathbb{R}\to\mathbb{R}$ who dynamically invests in a continuous-time financial market and receives a possibly unbounded random endowment. We prove the…

投资组合管理 · 定量金融 2018-03-23 Miklos Rasonyi

Automated Market Makers (AMMs) are used to provide liquidity for combinatorial prediction markets that would otherwise be too thinly traded. They offer both buy and sell prices for any of the doubly exponential many possible securities that…

计算机科学与博弈论 · 计算机科学 2025-10-16 Maneesha Papireddygari , Xintong Wang , Bo Waggoner , David M. Pennock