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We consider a class of generalized capital asset pricing models in continuous time with a finite number of agents and tradable securities. The securities may not be sufficient to span all sources of uncertainty. If the agents have…

综合金融 · 定量金融 2012-10-23 Ulrich Horst , Michael Kupper , Andrea Macrina , Christoph Mainberger

This paper considers utility indifference valuation of derivatives under model uncertainty and trading constraints, where the utility is formulated as an additive stochastic differential utility of both intertemporal consumption and…

数理金融 · 定量金融 2017-07-26 Huiwen Yan , Gechun Liang , Zhou Yang

The growing share of proactive actors in the electricity markets calls for more attention on prosumers and more support for their decision-making under decentralized electricity markets. In view of the changing paradigm, it is crucial to…

最优化与控制 · 数学 2021-05-24 Ni Wang , Remco Verzijlbergh , Petra Heijnen , Paulien Herder

This paper investigates the problem of maximizing expected terminal utility in a (generically incomplete) discrete-time financial market model with finite time horizon. In contrast to the standard setting, a possibly non-concave utility…

投资组合管理 · 定量金融 2014-09-04 Laurence Carassus , Miklos Rasonyi

We study the optimal liquidation of a large position on Uniswap v2 and Uniswap v3 in discrete time. The instantaneous price impact is derived from the AMM pricing rule. Transient impact is modeled to capture either exponential or…

数理金融 · 定量金融 2026-01-08 Bastien Baude , Damien Challet , Ioane Muni Toke

In this article we consider an optimization problem of expected utility maximization of continuous-time trading in a financial market. This trading is constrained by a benchmark for a utility-based shortfall risk measure. The market…

数理金融 · 定量金融 2016-10-28 Oliver Janke

In an incomplete market setting, we consider two financial agents, who wish to price and trade a non-replicable contingent claim. Assuming that the agents are utility maximizers, we propose a transaction price which is a result of the…

This paper introduces and analyzes \emph{defensive rebalancing}, a novel mechanism for protecting constant-function market makers (CFMMs) from value leakage due to arbitrage. A \emph{rebalancing} transfers assets directly from one CFMM's…

计算机科学与博弈论 · 计算机科学 2026-01-29 Sam Devorsetz , Maurice Herlihy

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…

计算机科学与博弈论 · 计算机科学 2026-03-04 Irina Lebedeva , Dmitrii Umnov , Yury Yanovich , Ignat Melnikov , George Ovchinnikov

Passive liquidity providers (LPs) in automated market makers (AMMs) face losses due to adverse selection (LVR), which static trading fees often fail to offset in practice. We study the key determinants of LP profitability in a dynamic…

交易与市场微观结构 · 定量金融 2025-08-12 Steven Campbell , Philippe Bergault , Jason Milionis , Marcel Nutz

Constant function market makers(CFMMS) are a popular market design for decentralized exchanges(DEX). Liquidity providers(LPs) supply the CFMMs with assets to enable trades. In exchange for providing this liquidity, an LP receives a token…

计算机科学与博弈论 · 计算机科学 2023-10-24 Waylon Jepsen , Colin Roberts

Decentralized perpetuals protocols have collectively reached billions of dollars of daily trading volume, yet are still not serious competitors on the basis of trading volume with centralized venues such as Binance. One of the main reasons…

计算机科学与博弈论 · 计算机科学 2025-05-27 Tarun Chitra , Theo Diamandis , Nathan Sheng , Luke Sterle , Kamil Yusubov

In this paper, we introduce a novel pricing model for Uniswap V3, built upon stochastic processes and the Martingale Stopping Theorem. This model innovatively frames the valuation of positions within Uniswap V3. We further conduct a…

证券定价 · 定量金融 2025-03-11 Liang Hou , Hao Yu , Guosong Xu

This paper introduces BAKUP, a smart contract insurance design for decentralized finance users to mitigate risks arising from platform vulnerabilities. While providing automated claim payout, BAKUP utilizes a modular structure to harmonize…

计算工程、金融与科学 · 计算机科学 2024-10-15 Srisht Fateh Singh , Panagiotis Michalopoulos , Andreas Veneris

We give a general formulation of the utility maximization problem under nondominated model uncertainty in discrete time and show that an optimal portfolio exists for any utility function that is bounded from above. In the unbounded case,…

投资组合管理 · 定量金融 2013-07-16 Marcel Nutz

Prediction markets have gained adoption as on-chain mechanisms for aggregating information, with platforms such as Polymarket demonstrating demand for stablecoin-denominated markets. However, denominating in non-interest-bearing stablecoins…

交易与市场微观结构 · 定量金融 2025-09-16 Fedor Shabashev

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

最优化与控制 · 数学 2011-02-25 Traian A Pirvu , Huayue Zhang

Stability of the utility maximization problem with random endowment and indifference prices is studied for a sequence of financial markets in an incomplete Brownian setting. Our novelty lies in the nonequivalence of markets, in which the…

投资组合管理 · 定量金融 2015-06-25 Kim Weston

Market fragmentation across multiple Automated Market Makers (AMMs) creates inefficiencies such as costly arbitrage, unnecessarily high slippage and delayed incorporation of new information into prices. These inefficiencies raise trading…

综合经济学 · 经济学 2025-10-01 Marcelo Bagnulo , Angel Hernando-Veciana , Efthymios Smyrniotis

We consider portfolio selection under nonparametric $\alpha$-maxmin ambiguity in the neighbourhood of a reference distribution. We show strict concavity of the portfolio problem under ambiguity aversion. Implied demand functions are…

综合经济学 · 经济学 2022-06-22 Michail Anthropelos , Paul Schneider