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We consider a one-period Kyle (1985) framework where the insider can be subject to a penalty if she trades. We establish existence and uniqueness of equilibrium for virtually any penalty function when noise is uniform. In equilibrium, the…

Trading and Market Microstructure · Quantitative Finance 2018-09-21 Sylvain Carré , Pierre Collin-Dufresne , Franck Gabriel

This paper develops a model of liquidity provision in financial markets by adapting the Madhavan, Richardson, and Roomans (1997) price formation model to realistic order books with quote discretization and liquidity rebates. We postulate…

Trading and Market Microstructure · Quantitative Finance 2016-08-08 Julius Bonart , Fabrizio Lillo

This paper studies existence and uniqueness of equilibrium prices in a model of the banking sector in which banks trade contingent convertible bonds with stock price triggers among each other. This type of financial product was proposed as…

General Economics · Economics 2020-11-13 Anne G. Balter , Nikolaus Schweizer , Juan C. Vera

Financial firms and institutional investors are routinely evaluated based on their performance relative to their peers. These relative performance concerns significantly influence risk-taking behavior and market dynamics. While the…

Mathematical Finance · Quantitative Finance 2025-12-29 Masaaki Fujii

We study the problem of the execution of a moderate size order in an illiquid market within the framework of a solvable Markovian model. We suppose that in order to avoid impact costs, a trader decides to execute her order through a unique…

Trading and Market Microstructure · Quantitative Finance 2015-06-09 Iacopo Mastromatteo

This paper is concerned with an optimal stock selling rule under a Markov chain model. The objective is to find an optimal stopping time to sell the stock so as to maximize an expected return. Solutions to the associated variational…

Pricing of Securities · Quantitative Finance 2013-10-01 Qing Zhang

In this chapter we review some recent results on the dynamics of price formation in financial markets and its relations with the efficient market hypothesis. Specifically, we present the limit order book mechanism for markets and we…

Trading and Market Microstructure · Quantitative Finance 2017-08-24 Paolo Barucca , Fabrizio Lillo

The practice of valuation by marking-to-market with current trading prices is seriously flawed. Under leverage the problem is particularly dramatic: due to the concave form of market impact, selling always initially causes the expected…

General Finance · Quantitative Finance 2012-08-28 Fabio Caccioli , Jean-Philippe Bouchaud , J. Doyne Farmer

This paper uses the panel data of Chinese listed companies from 2007 to 2019, uses the relaxation of China's margin trading and short selling restrictions as the basis of quasi experimental research, and then constructs a double difference…

General Economics · Economics 2021-08-12 Ge-zhi Wu , Da-ming You

We consider the consumption-based asset pricing model, derive a new modified basic pricing equation, and present its successive approximations using the Taylor series expansions of the investor's utility during the averaging time interval.…

General Economics · Economics 2024-01-18 Victor Olkhov

Trading pressure from one asset can move the price of another, a phenomenon referred to as cross impact. Using tick-by-tick data spanning 5 years for 500 assets listed in the United States, we identify the features that make cross-impact…

Trading and Market Microstructure · Quantitative Finance 2024-03-27 Victor Le Coz , Iacopo Mastromatteo , Damien Challet , Michael Benzaquen

In this paper, we consider the problem of equal risk pricing and hedging in which the fair price of an option is the price that exposes both sides of the contract to the same level of risk. Focusing for the first time on the context where…

Optimization and Control · Mathematics 2020-09-17 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

We study the problem of selling an asset near its ultimate maximum in the minimax setting. The regret-based notion of a perfect stopping time is introduced. A perfect stopping time is uniquely characterized by its optimality properties and…

Portfolio Management · Quantitative Finance 2016-07-15 Dmitry B. Rokhlin

We assume a continuous-time price impact model similar to Almgren-Chriss but with the added assumption that the price impact parameters are stochastic processes modeled as correlated scalar Markov diffusions. In this setting, we develop…

Trading and Market Microstructure · Quantitative Finance 2018-04-13 Weston Barger , Matthew Lorig

We explore a model of the interaction between banks and outside investors in which the ability of banks to issue inside money (short-term liabilities believed to be convertible into currency at par) can generate a collapse in asset prices…

Pricing of Securities · Quantitative Finance 2014-10-20 Charles D. Brummitt , Rajiv Sethi , Duncan J. Watts

An explicit formula is derived for the value of weak information in a discrete time model that works for a wide range of utility functions including the logarithmic and power utility. We assume a complete market with a finite number of…

Mathematical Finance · Quantitative Finance 2019-05-29 Ayelet Amiran , Fabrice Baudoin , Skylyn Brock , Berend Coster , Ryan Craver , Ugonna Ezeaka , Phanuel Mariano , Mary Wishart

Continuous time financial market models are often motivated as scaling limits of discrete time models. The objective of this paper is to establish such a connection for a robust framework. More specifically, we consider discrete time models…

Probability · Mathematics 2024-10-17 David Criens

We consider a sequential decision-making setting where, at every round $t$, a market maker posts a bid price $B_t$ and an ask price $A_t$ to an incoming trader (the taker) with a private valuation for one unit of some asset. If the trader's…

Computer Science and Game Theory · Computer Science 2025-06-18 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Luigi Foscari , Vinayak Pathak

We present a dialogue on Funding Costs and Counterparty Credit Risk modeling, inclusive of collateral, wrong way risk, gap risk and possible Central Clearing implementation through CCPs. This framework is important following the fact that…

Pricing of Securities · Quantitative Finance 2013-12-04 Damiano Brigo , Andrea Pallavicini