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We prove the existence of a continuous-time Radner equilibrium with multiple agents and transaction costs. The agents are incentivized to trade towards a targeted number of shares throughout the trading period and seek to maximize their…

Mathematical Finance · Quantitative Finance 2023-06-16 Jin Hyuk Choi , Jetlir Duraj , Kim Weston

We prove the existence of a Radner equilibrium in a model with population growth and analyze the effects on asset prices. A finite population of agents grows indefinitely at a Poisson rate, while receiving unspanned income and choosing…

Mathematical Finance · Quantitative Finance 2025-04-28 Jin Hyuk Choi , Kim Weston

The existence of complete Radner equilibria is established in an economy which parameters are driven by a diffusion process. Our results complement those in the literature. In particular, we work under essentially minimal regularity…

Probability · Mathematics 2015-01-05 Dmitry Kramkov

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,…

Trading and Market Microstructure · Quantitative Finance 2020-07-29 Weston Barger , Ryan Donnelly

We prove that in smooth Markovian continuous-time economies with potentially complete asset markets, Radner equilibria with endogenously complete markets exist.

General Finance · Quantitative Finance 2012-07-10 Frederik Herzberg , Frank Riedel

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…

Mathematical Finance · Quantitative Finance 2018-09-18 Kim Weston , Gordan Zitkovic

We study how trading costs are reflected in equilibrium returns. To this end, we develop a tractable continuous-time risk-sharing model, where heterogeneous mean-variance investors trade subject to a quadratic transaction cost. The…

Portfolio Management · Quantitative Finance 2018-04-06 Bruno Bouchard , Masaaki Fukasawa , Martin Herdegen , Johannes Muhle-Karbe

We construct continuous-time equilibrium models based on a finite number of exponential utility investors. The investors' income rates as well as the stock's dividend rate are governed by discontinuous Levy processes. Our main result…

Mathematical Finance · Quantitative Finance 2015-07-14 Kasper Larsen , Tanawit Sae Sue

We prove the existence of an incomplete Radner equilibrium in a model with exponential investors and an endogenous noise tracker. We analyze a coupled system of ODEs and reduce it to a system of two coupled ODEs in order to establish…

Mathematical Finance · Quantitative Finance 2022-06-16 Jin Hyuk Choi , Kim Weston

This paper presents an axiomatic scheme for interest rate models in discrete time. We take a pricing kernel approach, which builds in the arbitrage-free property and provides a link to equilibrium economics. We require that the pricing…

Pricing of Securities · Quantitative Finance 2009-11-05 Lane P. Hughston , Andrea Macrina

We prove the existence of an equilibrium in a model with transaction costs and price impact where two agents are incentivized to trade towards a target. The two types of frictions -- price impact and transaction costs -- lead the agents to…

Mathematical Finance · Quantitative Finance 2020-02-20 Eunjung Noh , Kim Weston

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…

Probability · Mathematics 2017-02-07 Constantinos Kardaras , Hao Xing , Gordan Žitković

We study risk-sharing equilibria with general convex costs on the agents' trading rates. For an infinite-horizon model with linear state dynamics and exogenous volatilities, we prove that the equilibrium returns mean-revert around their…

Mathematical Finance · Quantitative Finance 2020-04-16 Lukas Gonon , Johannes Muhle-Karbe , Xiaofei Shi

We develop a version of the fundamental theorem of asset pricing for discrete-time markets with proportional transaction costs and model uncertainty. A robust notion of no-arbitrage of the second kind is defined and shown to be equivalent…

Mathematical Finance · Quantitative Finance 2014-08-26 Bruno Bouchard , Marcel Nutz

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

We propose a continuous time model for financial markets with proportional transactions costs and a continuum of risky assets. This is motivated by bond markets in which the continuum of assets corresponds to the continuum of possible…

Pricing of Securities · Quantitative Finance 2013-02-05 Bruno Bouchard , Emmanuel Lepinette , Erik Taflin

The aim of this article is to propose a core game theory model of transaction costs wherein it is indicated how direct costs determine the probability of loss and subsequent transaction costs. The existence of optimum is proven, and the way…

Theoretical Economics · Economics 2020-08-25 László Kállay , Tibor Takács , László Trautmann

The classical discrete time model of proportional transaction costs relies on the assumption that a feasible portfolio process has solvent increments at each step. We extend this setting in two directions, allowing for convex transaction…

Mathematical Finance · Quantitative Finance 2021-01-15 Emmanuel Lepinette , Ilya Molchanov

We study $N$-player optimal execution games in an Obizhaeva--Wang model of transient price impact. When the game is regularized by an instantaneous cost on the trading rate, a unique equilibrium exists and we derive its closed form. Whereas…

Trading and Market Microstructure · Quantitative Finance 2026-05-19 Steven Campbell , Marcel Nutz

We study how transaction cost affects to the equilibrium return and optimal stock holdings in equilibrium. To this end, we develop a continuous-time risk-sharing model where heterogenous agents trade toward terminal target holdings subject…

Mathematical Finance · Quantitative Finance 2020-08-05 Eunjung Noh
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