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Firm foundation theory estimates a security's firm fundamental value based on four determinants: expected growth rate, expected dividend payout, the market interest rate and the degree of risk. In contrast, other views of decision-making in…

Statistical Mechanics · Physics 2009-10-31 D. Sornette

Accurate volatility forecasts are vital in modern finance for risk management, portfolio allocation, and strategic decision-making. However, existing methods face key limitations. Fully multivariate models, while comprehensive, are…

Statistical Finance · Quantitative Finance 2025-10-09 Duo Zhang , Jiayu Li , Junyi Mo , Elynn Chen

Financial economic models often assume that investors know (or agree on) the fundamental value of the shares of the firm, easing the passage from the individual to the collective dimension of the financial system generated by the Share…

Physics and Society · Physics 2021-09-27 Yuri Biondi , Pierpaolo Giannoccolo , Serge Galam

We prove the Fundamental Theorem of Asset Pricing for a discrete time financial market where trading is subject to proportional transaction cost and the asset price dynamic is modeled by a family of probability measures, possibly…

Probability · Mathematics 2015-09-01 Erhan Bayraktar , Yuchong Zhang

We present an overview of the broad class of financial models in which the prices of assets are L\'evy-Ito processes driven by an $n$-dimensional Brownian motion and an independent Poisson random measure. The Poisson random measure is…

Mathematical Finance · Quantitative Finance 2021-01-29 George Bouzianis , Lane P. Hughston , Sebastian Jaimungal , Leandro Sánchez-Betancourt

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the price…

Pricing of Securities · Quantitative Finance 2011-11-14 Damir Filipović , Lane P. Hughston , Andrea Macrina

The present paper shows that it can be advantageous for traders to publish their information on the true value of an asset even if they (i) cannot build a position in the asset prior to the publication of their information and (ii) cannot…

General Economics · Economics 2024-11-05 Wolfgang Kuhle

This paper presents an empirical analysis of the capital asset pricing model using trading data for the Chinese A-share market from 2000 to 2019. Firstly, the standard CAPM is tested using a Fama-MacBetch regression and although the results…

Statistical Finance · Quantitative Finance 2023-05-09 Kai Ren

Financial markets convert the incremental arrival of information into asset price changes. In a sandpile model grains of sand represent bits of data, and the size of an avalanche, governed by a scaling law, is linked to price volatility.…

Portfolio Management · Quantitative Finance 2026-03-03 Bernhard K Meister

We endorse the idea, suggested in recent literature, that BitCoin prices are influenced by sentiment and confidence about the underlying technology; as a consequence, an excitement about the BitCoin system may propagate to BitCoin prices…

Mathematical Finance · Quantitative Finance 2019-09-23 Alessandra Cretarola , Gianna Figà-Talamanca

The paper treats the financial market as a communication system, using four information-theoretic assumptions to derive an idealized model with only one parameter. State variables are scalar stationary diffusions. The model minimizes the…

Mathematical Finance · Quantitative Finance 2026-02-17 Eckhard Platen

For data pricing, data quality is a factor that must be considered. To keep the fairness of data market from the aspect of data quality, we proposed a fair data market that considers data quality while pricing. To ensure fairness, we first…

Databases · Computer Science 2018-08-07 Dan Zhang , Hongzhi Wang , Xiaoou Ding , Yice Zhang , Jianzhong Li , Hong Gao

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

The random values and volumes of consecutive trades made at the exchange with shares of security determine its mean, variance, and higher statistical moments. The volume weighted average price (VWAP) is the simplest example of such a…

General Economics · Economics 2026-01-21 Victor Olkhov

In a financial market, for agents with long investment horizons or at times of severe market stress, it is often changes in the asset price that act as the trigger for transactions or shifts in investment position. This suggests the use of…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 H. Lamba

In this article we discuss the distribution of asset price movements by the market potential function. From the principle of free energy minimization we analyze two different kinds of market potentials. We obtain a U-shaped potential when…

Statistical Finance · Quantitative Finance 2014-03-14 Dong Han Kim , Stefano Marmi

We propose a simple market model where agents trade different types of products with each other by using money, relying only on local information. Value fluctuations of single products, combined with the condition of maximum profit in…

Condensed Matter · Physics 2015-06-24 Raul Donangelo , Alex Hansen , Kim Sneppen , Sergio R. Souza

We study the method for detecting relationship changes in financial markets and providing human-interpretable network visualization to support the decision-making of fund managers dealing with multi-assets. First, we construct co-occurrence…

General Finance · Quantitative Finance 2020-11-17 Makoto Naraoka , Teruaki Hayashi , Takaaki Yoshino , Toshiaki Sugie , Kota Takano , Yukio Ohsawa

Factor modeling of asset returns has been a dominant practice in investment science since the introduction of the Capital Asset Pricing Model (CAPM) and the Arbitrage Pricing Theory (APT). The factors, which account for the systematic risk,…

Statistical Finance · Quantitative Finance 2020-11-30 Zhipu Zhou , Alexander Shkolnik , Sang-Yun Oh

We introduce the concept of {\it fresh data trading}, in which a destination user requests, and pays for, fresh data updates from a source provider, and data freshness is captured by the {\it age of information} (AoI) metric. Keeping data…

Networking and Internet Architecture · Computer Science 2021-05-04 Meng Zhang , Ahmed Arafa , Jianwei Huang , H. Vincent Poor