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Related papers: The Multivariate Kyle model: More is different

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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 consider the problem of belief aggregation: given a group of individual agents with probabilistic beliefs over a set of uncertain events, formulate a sensible consensus or aggregate probability distribution over these events. Researchers…

Artificial Intelligence · Computer Science 2013-02-08 David M. Pennock , Michael P. Wellman

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang

Taking the European Central Bank unconventional policies as a reference, we suggest a class of Multiplicative Error Models (MEM) taylored to analyze the impact such policies have on stock market volatility. The new set of models, called MEM…

Statistical Finance · Quantitative Finance 2021-03-26 Demetrio Lacava , Giampiero M. Gallo , Edoardo Otranto

We propose a route for the evaluation of risk based on a transformation of the covariance matrix. The approach uses a `potential' or `objective' function. This allows us to rescale data from different assets (or sources) such that each data…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Krzysztof Urbanowicz , Peter Richmond , Janusz A. Holyst

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

Market Mill is a complex dependence pattern leading to nonlinear correlations and predictability in intraday dynamics of stock prices. The present paper puts together previous efforts to build a dynamical model reflecting the market mill…

Statistical Finance · Quantitative Finance 2015-05-13 Sergey Zaitsev , Alexander Zaitsev , Andrei Leonidov , Vladimir Trainin

In an empirical Bayesian setting, we provide a new multiple testing method, useful when an additional covariate is available, that influences the probability of each null hypothesis being true. We measure the posterior significance of each…

Applications · Statistics 2008-07-30 Egil Ferkingstad , Arnoldo Frigessi , Håvard Rue , Gudmar Thorleifsson , Augustine Kong

This paper deals with inference and prediction for multiple correlated time series, where one has also the choice of using a candidate pool of contemporaneous predictors for each target series. Starting with a structural model for the…

Machine Learning · Statistics 2018-09-20 S. Rao Jammalamadaka , Jinwen Qiu , Ning Ning

Extant literature on fair pricing methods for actuarial contexts has primarily focused on the regression setting. While such approaches are well-suited to short-term products, it is unclear how they generalize to long-term products, whose…

Pricing of Securities · Quantitative Finance 2026-02-05 Hong Beng Lim , Mengyi Xu , Kenneth Q. Zhou

In this paper, the Kyle model of insider trading is extended by characterizing the trading volume with long memory and allowing the noise trading volatility to follow a general stochastic process. Under this newly revised model, the…

Mathematical Finance · Quantitative Finance 2019-01-08 Ben-zhang Yang , Xinjiang He , Nan-jing Huang

An asymmetric information model is introduced for the situation in which there is a small agent who is more susceptible to the flow of information in the market than the general market participant, and who tries to implement strategies…

Trading and Market Microstructure · Quantitative Finance 2013-01-31 Dorje C. Brody , Mark H. A. Davis , Robyn L. Friedman , Lane P. Hughston

How can we draw trustworthy scientific conclusions? One criterion is that a study can be replicated by independent teams. While replication is critically important, it is arguably insufficient. If a study is biased for some reason and other…

Methodology · Statistics 2025-02-06 Yujin Jeong , Dominik Rothenhäusler

We present an experimental and simulated model of a multi-agent stock market driven by a double auction order matching mechanism. Studying the effect of cumulative information on the performance of traders, we find a non monotonic…

Physics and Society · Physics 2009-11-13 Bence Toth , Enrico Scalas , Juergen Huber , Michael Kirchler

We consider the problem of estimating covariance and precision matrices, and their associated discriminant coefficients, from normal data when the rank of the covariance matrix is strictly smaller than its dimension and the available sample…

Statistics Theory · Mathematics 2015-09-09 Didier Chételat , Martin T. Wells

We present a mathematical model of a market with $m$ shares traded across $n$ investor groups, each one with similar motivations and trading strategies. The market of each asset consists of a fixed amount of cash and shares (no additions…

Dynamical Systems · Mathematics 2026-04-17 Mario Cavani

We analyze multiline pricing and capital allocation in equilibrium no-arbitrage markets. Existing theories often assume a perfect complete market, but when pricing is linear, there is no diversification benefit from risk pooling and…

Risk Management · Quantitative Finance 2020-08-31 John A. Major , Stephen J. Mildenhall

This work considers a stochastic model in which the uncertainty is driven by a multidimensional Brownian motion. The market price of risk process makes the transition between real world probability measure and risk neutral probability…

Probability · Mathematics 2017-10-04 Traian A. Pirvu , Ulrich G. Haussmann

The crisis that affected financial markets in the last years leaded market practitioners to revise well known basic concepts like the ones of discount factors and forward rates. A single yield curve is not sufficient any longer to describe…

Pricing of Securities · Quantitative Finance 2010-06-25 Andrea Pallavicini , Marco Tarenghi

This paper studies the robust reinsurance and investment games for competitive insurers. Model uncertainty is characterized by a class of equivalent probability measures. Each insurer is concerned with relative performance under the…

Mathematical Finance · Quantitative Finance 2024-12-13 Guohui Guan , Zongxia Liang , Yi Xia