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We construct an equilibrium for the continuous time Kyle's model with stochastic liquidity, a general distribution of the fundamental price, and correlated stock and volatility dynamics. For distributions with positive support, our…

交易与市场微观结构 · 定量金融 2022-04-26 Ibrahim Ekren , Brad Mostowski , Gordan Žitković

We show that the problem of existence of equilibrium in Kyle's continuous time insider trading model can be tackled by considering a forward-backward system coupled via an optimal transport type constraint at maturity. The forward component…

概率论 · 数学 2022-10-28 Shreya Bose , Ibrahim Ekren

We generalize the seminal framework of Kyle (1985) to a many-asset setting, bridging the gap between informed-trading theory and modern trading practices. Specifically, we formulate an infinite-dimensional Bayesian trading game in which the…

数理金融 · 定量金融 2026-03-23 Christian Keller , Michael C. Tseng

The continuous-time version of Kyle's (1985) model is studied, in which market makers are not fiduciaries. They have some market power which they utilize to set the price to their advantage, resulting in positive expected profits. This has…

交易与市场微观结构 · 定量金融 2019-08-26 Knut Aase , Bernt Øksendal

We present a new discrete time version of Kyle's (1985) classic model of insider trading, formulated as a generalised extensive form game. The model has three kinds of traders: an insider, random noise traders, and a market maker. The…

交易与市场微观结构 · 定量金融 2024-11-19 Christoph Kühn , Christopher Lorenz

We study the continuous time Kyle-Back model with a risk averse informed trader.We show that in a market with multiple assets and non-Gaussian prices an equilibrium exists. The equilibrium is constructed by considering a Fokker-Planck…

概率论 · 数学 2021-11-04 Shreya Bose , Ibrahim Ekren

The Kyle model describes how an equilibrium of order sizes and security prices naturally arises between a trader with insider information and the price providing market maker as they interact through a series of auctions. Ever since being…

计算金融 · 定量金融 2020-06-25 Paul Friedrich , Josef Teichmann

In a continuous-time Kyle setting, we prove global existence of an equilibrium when the insider faces a terminal trading constraint. We prove that our equilibrium model produces output consistent with several empirical stylized facts such…

数理金融 · 定量金融 2022-06-17 Jin Hyuk Choi , Heeyoung Kwon , Kasper Larsen

Classical Kyle-type models of informed trading typically treat noise trader demand as purely exogenous. In reality, many market participants react to price movements and news, generating feedback effects that can significantly alter market…

数理金融 · 定量金融 2026-01-16 Eunjung Noh

We study an information acquisition problem in which an informed trader acquires costly information prior to trading in the Kyle equilibrium. The cost of information acquisition is represented by an entropy cost. Regardless of the prior…

理论经济学 · 经济学 2026-03-24 S. Viswanathan , Hao Xing

We model an informed agent with information about the future value of an asset trying to maximize profits when subjected to a transaction cost as well as a market maker tasked with setting fair transaction prices. In a single auction model,…

交易与市场微观结构 · 定量金融 2020-07-29 Weston Barger , Ryan Donnelly

We study a continuous time economy where throughout time, insiders receive private signals regarding the risky assets' terminal payoff. We prove existence of a partial communication equilibrium where, at each private signal time, the public…

证券定价 · 定量金融 2024-03-21 Scott Robertson

We provide an economically sound micro-foundation to linear price impact models, by deriving them as the equilibrium of a suitable agent-based system. Our setup generalizes the well-known Kyle model, by dropping the assumption of a terminal…

交易与市场微观结构 · 定量金融 2021-05-26 Michele Vodret , Iacopo Mastromatteo , Bence Tóth , Michael Benzaquen

This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by…

概率论 · 数学 2016-09-05 Umut Çetin , Albina Danilova

We investigate a Kyle model under Gaussian assumptions where a risk-averse informed trader has imperfect information on the fundamental price of an asset. We show that an equilibrium can be constructed by considering an optimal transport…

交易与市场微观结构 · 定量金融 2025-01-29 Reda Chhaibi , Ibrahim Ekren , Eunjung Noh

Existence of stochastic financial equilibria giving rise to semimartingale asset prices is established under a general class of assumptions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal…

证券定价 · 定量金融 2008-12-02 Gordan Zitkovic

Executing even moderately large derivatives orders can be expensive and risky; it's hard to balance the uncertainty of working an order over time versus paying a liquidity premium for immediate execution. Here, we introduce the Time Is…

数理金融 · 定量金融 2021-04-14 Kevin Patrick Darby

This paper investigates the equilibrium interactions between trading targets and private information in a multi-period Kyle (1985) market. There are two investors who each follow dynamic trading strategies: A strategic portfolio rebalancer…

交易与市场微观结构 · 定量金融 2015-09-09 Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

We solve a generalized Kyle model type problem using Monge-Kantorovich duality and backward stochastic partial differential equations. First, we show that the the generalized Kyle model with dynamic information can be recast into a terminal…

概率论 · 数学 2022-11-01 Reda Chhaibi , Ibrahim Ekren , Eunjung Noh , Lu Vy

In a unified framework we study equilibrium in the presence of an insider having information on the signal of the firm value, which is naturally connected to the fundamental price of the firm related asset. The fundamental value itself is…

证券定价 · 定量金融 2018-03-07 José Manuel Corcuera , Giulia Di Nunno , Gergely Farkas , Bernt Øksendal
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