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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 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 consider an Ito-financial market at which the risky assets' returns are derived endogenously through a market-clearing condition amongst heterogeneous risk-averse investors with quadratic preferences and random endowments. Investors act…

Mathematical Finance · Quantitative Finance 2024-05-24 Michail Anthropelos , Constantinos Stefanakis

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

This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize…

Mathematical Finance · Quantitative Finance 2020-03-26 Johannes Muhle-Karbe , Marcel Nutz , Xiaowei Tan

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 a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential…

General Finance · Quantitative Finance 2020-11-30 Johannes Muhle-Karbe , Xiaofei Shi , Chen Yang

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

This paper presents a continuous-time model of intraday trading, pricing, and liquidity with dynamic TWAP and VWAP benchmarks. The model is solved in closed-form for the competitive equilibrium and also for non-price-taking equilibria. The…

Mathematical Finance · Quantitative Finance 2020-03-31 Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

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 investigate the effects of the social interactions of a finite set of agents on an equilibrium pricing mechanism. A derivative written on non-tradable underlyings is introduced to the market and priced in an equilibrium framework by…

Mathematical Finance · Quantitative Finance 2017-02-14 Jana Bielagk , Arnaud Lionnet , Goncalo Dos Reis

This paper studies arbitrage pricing theory in financial markets with implicit transaction costs. We extend the existing theory to include the more realistic possibility that the price at which the investors trade is dependent on the traded…

Pricing of Securities · Quantitative Finance 2017-07-25 Erindi Allaj

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 consider the Brownian market model and the problem of expected utility maximization of terminal wealth. We, specifically, examine the problem of maximizing the utility of terminal wealth under the presence of transaction costs of a…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Theodoros Tsagaris

We consider a market consisting of one safe and one risky asset, which offer constant investment opportunities. Taking into account both proportional transaction costs and linear price impact, we derive optimal rebalancing policies for…

Portfolio Management · Quantitative Finance 2017-09-05 Ren Liu , Johannes Muhle-Karbe , Marko H. Weber

In this short note, we consider mean-variance optimized portfolios with transaction costs. We show that introducing quadratic transaction costs makes the optimization problem more difficult than using linear transaction costs. The reason…

Portfolio Management · Quantitative Finance 2020-01-07 Pierre Chen , Edmond Lezmi , Thierry Roncalli , Jiali Xu

In this article we consider the Merton problem in a market with a single risky asset and transaction costs. We give a complete solution of the problem up to the solution of a free-boundary problem for a first-order differential equation,…

Mathematical Finance · Quantitative Finance 2016-12-05 David Hobson , Alex S. L. Tse , Yeqi Zhu

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…

Mathematical Finance · Quantitative Finance 2026-03-24 Masashi Sekine

We revisit optimal execution of an active portfolio in the presence of slippage (aka linear, proportional, or absolute-value) costs. Market efficiency implies a close balance between active alphas and trading costs, so even small changes to…

Portfolio Management · Quantitative Finance 2021-10-29 Michael Isichenko

We consider the problem of the optimal trading strategy in the presence of linear costs, and with a strict cap on the allowed position in the market. Using Bellman's backward recursion method, we show that the optimal strategy is to switch…

Portfolio Management · Quantitative Finance 2012-03-28 Joachim de Lataillade , Cyril Deremble , Marc Potters , Jean-Philippe Bouchaud
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