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We address the question of how stock prices respond to changes in demand. We quantify the relations between price change $G$ over a time interval $\Delta t$ and two different measures of demand fluctuations: (a) $\Phi$, defined as the…

Statistical Mechanics · Physics 2009-11-07 Vasiliki Plerou , Parameswaran Gopikrishnan , Xavier Gabaix , H. Eugene Stanley

Traders in a stock market exchange stock shares and form a stock trading network. Trades at different positions of the stock trading network may contain different information. We construct stock trading networks based on the limit order…

Trading and Market Microstructure · Quantitative Finance 2016-12-06 Wen-Jie Xie , Ming-Xia Li , Hai-Chuan Xu , Wei Chen , Wei-Xing Zhou , H. E. Stanley

Since exchange economy considerably varies in the market assets, asset prices have become an attractive research area for investigating and modeling ambiguous and uncertain information in today markets. This paper proposes a new generative…

General Finance · Quantitative Finance 2018-03-28 Farouq Abdulaziz Masoudy

Disputes over cost allocation can present a significant barrier to investment in shared infrastructure. While it may be desirable to allocate cost in a way that corresponds to expected benefits, investments in long-lived projects are made…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Han Shu , Jacob Mays

Prediction markets are often described as mechanisms that ``aggregate information'' into prices, yet the mapping from dispersed private information to observed market histories is typically noisy, endogenous, and shaped by heterogeneous and…

Mathematical Finance · Quantitative Finance 2026-01-28 Juan Pablo Madrigal-Cianci , Camilo Monsalve Maya , Lachlan Breakey

We study a dynamic portfolio optimization problem related to convergence trading, which is an investment strategy that exploits temporary mispricing by simultaneously buying relatively underpriced assets and selling short relatively…

Portfolio Management · Quantitative Finance 2019-10-08 Sühan Altay , Katia Colaneri , Zehra Eksi

We develop a framework for stochastic portfolio theory (SPT), which incorporates modern nonlinear price impact and impact decay models. Our main result is the derivation of the celebrated master formula for additive functional generation of…

Mathematical Finance · Quantitative Finance 2026-04-15 David Itkin

This paper presents a new model for pricing financial derivatives subject to collateralization. It allows for collateral arrangements adhering to bankruptcy laws. As such, the model can back out the market price of a collateralized…

Pricing of Securities · Quantitative Finance 2018-05-31 Tim Xiao

Transformer models have become increasingly popular in financial applications, yet their potential risk making and biases remain under-explored. The purpose of this work is to audit the reliance of the model on volatile data for…

Machine Learning · Computer Science 2025-12-02 Armin Gerami , Ramani Duraiswami

The determination of acceptability prices of contingent claims requires the choice of a stochastic model for the underlying asset price dynamics. Given this model, optimal bid and ask prices can be found by stochastic optimization. However,…

Pricing of Securities · Quantitative Finance 2019-01-31 Martin Glanzer , Georg Ch. Pflug , Alois Pichler

When trading American and Asian options in the FX derivatives market, banks must calculate prices using a complex mathematical model. It is often observed that different models produce varying prices for the same exotic option, which…

Pricing of Securities · Quantitative Finance 2023-04-24 Dongli Wu , Bufan Zhang , Xiao Lin

We study a finite-horizon dynamic pricing problem for event tickets with limited inventory and time-varying demand. The central practical difficulty is that the total demand function $L(t)$ is not observed directly and must be estimated…

General Economics · Economics 2026-04-16 Lev Razumovskiy , Nikolay Karenin , Mikhail Safro

This paper investigates the impact of posterior drift on out-of-sample forecasting accuracy in overparametrized machine learning models. We document the loss in performance when the loadings of the data generating process change between the…

Statistical Finance · Quantitative Finance 2026-05-13 Guillaume Coqueret , Martial Laguerre

Using theory and experiments, this paper shows that the difficulty of making tradeoffs offers a parsimonious explanation for a wide range of behavioral phenomena. We develop a model of imprecise comparisons applicable to multiattribute,…

General Economics · Economics 2026-04-01 Cassidy Shubatt , Jeffrey Yang

Algorithmic predictions are increasingly informing societal resource allocations by identifying individuals for targeting. Policymakers often build these systems with the assumption that by gathering more observations on individuals, they…

Machine Learning · Computer Science 2025-03-04 Ali Shirali , Ariel Procaccia , Rediet Abebe

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete…

Mathematical Finance · Quantitative Finance 2020-08-13 Yuan Hu , Abootaleb Shirvani , Stoyan Stoyanov , Young Shin Kim , Frank J. Fabozzi , Svetlozar T. Rachev

Sophisticated machine learning (ML) models to inform trading in the financial sector create problems of interpretability and risk management. Seemingly robust forecasting models may behave erroneously in out of distribution settings. In…

Machine Learning · Computer Science 2021-10-01 Gabriel Deza , Adelin Travers , Colin Rowat , Nicolas Papernot

We study super--replication of contingent claims in markets with fixed transaction costs. This can be viewed as a stochastic impulse control problem with a terminal state constraint. The first result in this paper reveals that in reasonable…

Mathematical Finance · Quantitative Finance 2018-10-16 Peter Bank , Yan Dolinsky

This paper investigates the impact of dark pools on price discovery (the efficiency of prices on stock exchanges to aggregate information). Assets are traded in either an exchange or a dark pool, with the dark pool offering better prices…

General Finance · Quantitative Finance 2016-12-28 Linlin Ye

The problem of market clearing is to set a price for an item such that quantity demanded equals quantity supplied. In this work, we cast the problem of predicting clearing prices into a learning framework and use the resulting models to…

Machine Learning · Computer Science 2019-06-25 Weiran Shen , Sébastien Lahaie , Renato Paes Leme