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Price-mediated contagion occurs when a positive feedback loop develops following a drop in asset prices which forces banks and other financial institutions to sell their holdings. Prior studies of such events fix the level of market…

Risk Management · Quantitative Finance 2024-09-05 Zhiyu Cao , Zachary Feinstein

We introduce and study a simple model of a limit order-driven market. Traders in this model can either trade at the market price or place a limit order, i.e. an instruction to buy (sell) a certain amount of the stock if its price falls…

Statistical Mechanics · Physics 2009-10-31 Sergei Maslov

Given a finite set of European call option prices on a single underlying, we want to know when there is a market model which is consistent with these prices. In contrast to previous studies, we allow models where the underlying trades at a…

Mathematical Finance · Quantitative Finance 2019-07-17 Stefan Gerhold , I. Cetin Gülüm

This study examines the impact of different computing implementations of clearing mechanisms on multi-asset price dynamics within an artificial stock market framework. We show that sequential processing of order books introduces a…

Trading and Market Microstructure · Quantitative Finance 2025-09-03 Matej Steinbacher , Mitja Steinbacher , Matjaz Steinbacher

How do cost shocks pass through to prices in markets with price dispersion? We decompose the problem into two layers. In the competition layer, consumers' consideration sets determine equilibrium distributions of normalized margins. In the…

Theoretical Economics · Economics 2026-04-23 Brian C. Albrecht , Mark Whitmeyer

We study the upper hedging price for contingent claims in market models with strong types of arbitrage: increasing profit, strong arbitrage, and arbitrage of the first kind. The existence of arbitrage may make the price smaller than if it…

Mathematical Finance · Quantitative Finance 2026-03-31 Yukihiro Tsuzuki

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

We consider call option prices in diffusion models close to expiry, in an asymptotic regime ("moderately out of the money") that interpolates between the well-studied cases of at-the-money options and out-of-the-money fixed-strike options.…

Pricing of Securities · Quantitative Finance 2016-04-06 Peter Friz , Stefan Gerhold , Arpad Pinter

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

Mathematical Finance · Quantitative Finance 2016-09-12 Gianluca Cassese

We develop a framework for price-mediated contagion in financial systems where banks are forced to liquidate assets to satisfy a risk-weight based capital adequacy requirement. In constructing this modeling framework, we introduce a…

Mathematical Finance · Quantitative Finance 2021-02-19 Tathagata Banerjee , Zachary Feinstein

The Regional Transmission Operators each have unique methods to procure frequency regulation reserves used to track real power fluctuations on the grid. Some market clearing practices result in high regulation prices with large spread…

Systems and Control · Electrical Eng. & Systems 2020-01-31 Adria E. Brooks , Bernard C. Lesieutre

Central clearing counterparty houses (CCPs) play a fundamental role in mitigating the counterparty risk for exchange traded options. CCPs cover for possible losses during the liquidation of a defaulting member's portfolio by collecting…

Risk Management · Quantitative Finance 2023-06-29 Claude Martini , Arianna Mingone

A simple statement and accessible proof of a version of the Fundamental Theorem of Asset Pricing in discrete time is provided. Careful distinction is made between prices and cash flows in order to provide uniform treatment of all…

Mathematical Finance · Quantitative Finance 2019-12-04 Keith A. Lewis

This paper supplies two possible resolutions of Fortune's (2000) margin-loan pricing puzzle. Fortune (2000) noted that the margin loan interest rates charged by stock brokers are very high in relation to the actual (low) credit risk and the…

General Economics · Economics 2022-10-24 Alex Garivaltis

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

Pricing of Securities · Quantitative Finance 2010-09-21 Dorje C. Brody , Yan Tai Law

Trading a financial asset pushes its price as well as the prices of other assets, a phenomenon known as cross-impact. The empirical estimation of this effect on complex financial instruments, such as derivatives, is an open problem. To…

Trading and Market Microstructure · Quantitative Finance 2022-03-30 Mehdi Tomas , Iacopo Mastromatteo , Michael Benzaquen

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

We propose a machine learning method to solve a mean-field game price formation model with common noise. This involves determining the price of a commodity traded among rational agents subject to a market clearing condition imposed by…

Optimization and Control · Mathematics 2023-05-30 Diogo Gomes , Julian Gutierrez , Mathieu Laurière

There exist several methods how more general options can be priced with call prices. In this article, we extend these results to cover a wider class of options and market models. In particular, we introduce a new pricing formula which can…

Pricing of Securities · Quantitative Finance 2012-08-09 Lauri Viitasaari

We present a machine learning approach for finding minimal equivalent martingale measures for markets simulators of tradable instruments, e.g. for a spot price and options written on the same underlying. We extend our results to markets…

Computational Finance · Quantitative Finance 2022-01-13 Hans Buehler , Phillip Murray , Mikko S. Pakkanen , Ben Wood