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We study contingent claims in a discrete-time market model where trading costs are given by convex functions and portfolios are constrained by convex sets. In addition to classical frictionless markets and markets with transaction costs or…

证券定价 · 定量金融 2008-12-10 Teemu Pennanen

We study a problem of optimal investment/consumption over an infinite horizon in a market consisting of two possibly correlated assets: one liquid and one illiquid. The liquid asset is observed and can be traded continuously, while the…

投资组合管理 · 定量金融 2015-03-20 Salvatore Federico , Paul Gassiat , Fausto Gozzi

We consider a general local-stochastic volatility model and an investor with exponential utility. For a European-style contingent claim, whose payoff may depend on either a traded or non-traded asset, we derive an explicit approximation for…

数理金融 · 定量金融 2015-09-04 Matthew Lorig

This paper formulates a model of utility for a continuous time framework that captures the decision-maker's concern with ambiguity about both volatility and drift. Corresponding extensions of some basic results in asset pricing theory are…

证券定价 · 定量金融 2013-01-22 Larry G. Epstein , Shaolin Ji

We construct realistic spot and equity option market simulators for a single underlying on the basis of normalizing flows. We address the high-dimensionality of market observed call prices through an arbitrage-free autoencoder that…

计算金融 · 定量金融 2021-12-14 Magnus Wiese , Ben Wood , Alexandre Pachoud , Ralf Korn , Hans Buehler , Phillip Murray , Lianjun Bai

We study the problem of optimal portfolio selection in an illiquid market with discrete order flow. In this market, bids and offers are not available at any time but trading occurs more frequently near a terminal horizon. The investor can…

投资组合管理 · 定量金融 2009-07-14 Paul Gassiat , Huyen Pham , Mihai Sirbu

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

数理金融 · 定量金融 2014-09-23 Krzysztof Turek

Automated marker makers (AMMs) are a class of decentralized exchanges that enable the automated trading of digital assets. They accept deposits of digital tokens from liquidity providers (LPs); tokens can be used by traders to execute…

计算机科学与博弈论 · 计算机科学 2024-11-18 Weizhao Tang , Rachid El-Azouzi , Cheng Han Lee , Ethan Chan , Giulia Fanti

We consider an optimal investment-consumption problem for a utility-maximizing investor who has access to assets with different liquidity and whose consumption rate as well as terminal wealth are subject to lower-bound constraints. Assuming…

数理金融 · 定量金融 2025-05-21 Yevhen Havrylenko

We adress the maximization problem of expected utility from terminal wealth. The special feature of this paper is that we consider a financial market where the price process of risky assets can have a default time. Using dynamic…

计算金融 · 定量金融 2010-07-13 Thomas Lim , Marie-Claire Quenez

A liquidity measure based on consideration and price range is proposed. Initially defined for daily data, Liquidity Index (LIX) can also be estimated via intraday data by using a time scaling mechanism. The link between LIX and the…

交易与市场微观结构 · 定量金融 2014-12-17 Oleh Danyliv , Bruce Bland , Daniel Nicholass

In this work, we present an application of the probabilistic weak formulation of mean field games (MFG) for modeling liquidity pools in a constant product automated market maker (AMM) protocol in the context of decentralized finance. Our…

最优化与控制 · 数学 2026-04-14 Agustín Muñoz González , Juan I. Sequeira , Rafael Orive Illera

We study the loan contracts offered by decentralised loan protocols (DLPs) through the lens of financial derivatives. DLPs, which effectively are clearinghouses, facilitate transactions between option buyers (i.e. borrowers) and option…

证券定价 · 定量金融 2024-09-09 Lukasz Szpruch , Marc Sabaté Vidales , Tanut Treetanthiploet , Yufei Zhang

In traditional finance, the Black & Scholes model has guided almost 50 years of derivatives pricing, defining a standard to model any volatility-based product. With the rise of Decentralized Finance (DeFi) and constant product Automated…

数理金融 · 定量金融 2023-03-13 Niccolò Bardoscia , Alessandro Nodari

In this paper we formulate the fixed budget resource allocation game to understand the performance of a distributed market-based resource allocation system. Multiple users decide how to distribute their budget (bids) among multiple machines…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Michal Feldman , Kevin Lai , Li Zhang

Asset liquidity in modern financial markets is a key but elusive concept. A market is often said to be liquid when the prevailing structure of transactions provides a prompt and secure link between the demand and supply of assets, thus…

交易与市场微观结构 · 定量金融 2011-12-30 Alexandros Gabrielsen , Massimiliano Marzo , Paolo Zagaglia

Traditional market makers are losing their importance as automated systems have largely assumed the role of liquidity provision in markets. We update the model of Glosten and Milgrom (1985) to analyze this new world: we add multiple…

交易与市场微观结构 · 定量金融 2010-07-15 Austin Gerig , David Michayluk

We consider the scenario where $N$ utilities strategically bid for electricity in the day-ahead market and balance the mismatch between the committed supply and actual demand in the real-time market, with uncertainty in demand and local…

系统与控制 · 电气工程与系统科学 2021-09-15 Tianyu Zhao , Hanling Yi , Minghua Chen , Chenye Wu , Yunjian Xu

Decentralized exchanges (DEXs) face persistent challenges in liquidity retention and user engagement due to inefficiencies in conventional automated market maker (AMM) designs. This work proposes a dual-mechanism framework to address these…

交易与市场微观结构 · 定量金融 2025-02-28 CY Yan , Steve Keol , Xo Co , Nate Leung

Time-bound stablecoins are DeFi assets that temporarily tokenize traditional securities during market off-hours, enabling continuous cross-market liquidity. We introduce the Liquidity-of-Time Premium (TLP): the extra return or cost of…

分布式、并行与集群计算 · 计算机科学 2025-10-08 Ailiya Borjigin , Cong He