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We prove the global existence of an incomplete, continuous-time finite-agent Radner equilibrium in which exponential agents optimize their expected utility over both running consumption and terminal wealth. The market consists of a traded…

数理金融 · 定量金融 2018-09-18 Kim Weston , Gordan Zitkovic

We study existence and uniqueness of continuous-time stochastic Radner equilibria in an incomplete market model among a group of agents whose preference is characterized by cash invariant time-consistent monetary utilities. An assumption of…

概率论 · 数学 2017-02-07 Constantinos Kardaras , Hao Xing , Gordan Žitković

The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

投资组合管理 · 定量金融 2008-12-10 Kasper Larsen , Gordan Zitkovic

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

In an incomplete continuous-time securities market with uncertainty generated by Brownian motions, we derive closed-form solutions for the equilibrium interest rate and market price of risk processes. The economy has a finite number of…

综合金融 · 定量金融 2012-01-06 Peter Ove Christensen , Kasper Larsen

The existence of a (partial) market equilibrium price is proved in a complete, continuous time finite-agent market setting. The economic agents act as price takers in a fully competitive setting and maximize exponential utility from…

数理金融 · 定量金融 2022-12-01 Alessandro Prosperi

We consider two risk-averse financial agents who negotiate the price of an illiquid indivisible contingent claim in an incomplete semimartingale market environment. Under the assumption that the agents are exponential utility maximizers…

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

We revisit the classical topic of quadratic and linear mean-variance equilibria with both financial and real assets. The novelty of our results is that they are the first allowing for equilibrium prices driven by general semimartingales and…

数理金融 · 定量金融 2024-08-07 Christoph Czichowsky , Martin Herdegen , David Martins

We formulate a continuous-time competitive equilibrium model of irreversible capacity investment in which a continuum of heterogeneous producers supplies a single non-durable good subject to exogenous stochastic demand. Each producer…

概率论 · 数学 2025-12-04 Constantinos Kardaras , Alexandros Pavlis , Mihail Zervos

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

In this paper we develop a general framework to analyze stochastic dynamic problems with unbounded utility functions and correlated and unbounded shocks. We obtain new results of the existence and uniqueness of solutions to the Bellman…

理论经济学 · 经济学 2019-07-18 Juan Pablo Rincón-Zapatero

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

数理金融 · 定量金融 2018-06-20 Lijun Bo , Agostino Capponi

In an equity market model with "Knightian" uncertainty regarding the relative risk and covariance structure of its assets, we characterize in several ways the highest return relative to the market that can be achieved using nonanticipative…

概率论 · 数学 2012-02-15 Daniel Fernholz , Ioannis Karatzas

We investigate the portfolio execution problem under a framework in which volatility and liquidity are both uncertain. In our model, we assume that a multidimensional Markovian stochastic factor drives both of them. Moreover, we model…

数理金融 · 定量金融 2023-08-08 Max O. Souza , Yuri Thamsten

This paper characterizes differentiable and subgame Markov perfect equilibria in a continuous time intertemporal decision problem with non-constant discounting. Capturing the idea of non commitment by letting the commitment period being…

最优化与控制 · 数学 2008-08-29 Ivar Ekeland , Ali Lazrak

We establish the existence and uniqueness of the equilibrium for a stochastic mean-field game of optimal investment. The analysis covers both finite and infinite time horizons, and the mean-field interaction of the representative company…

最优化与控制 · 数学 2026-05-18 Alessandro Calvia , Salvatore Federico , Giorgio Ferrari , Fausto Gozzi

We study an optimal execution problem in a continuous-time market model that considers market impact. We formulate the problem as a stochastic control problem and investigate properties of the corresponding value function. We find that…

交易与市场微观结构 · 定量金融 2014-12-16 Takashi Kato

This thesis develops equilibrium asset pricing models in incomplete markets with a large number of heterogeneous agents using mean field game theory. The market equilibrium is characterized by a novel form of mean field backward stochastic…

数理金融 · 定量金融 2026-03-24 Masashi Sekine

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

最优化与控制 · 数学 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective functional balances the expected utility and variance on log…

投资组合管理 · 定量金融 2025-12-02 Yue Cao , Zongxia Liang , Sheng Wang , Xiang Yu
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