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An extension of the idea of state tameness is presented in a dynamic framework. The proposed model for financial markets is rich enough to provide analytical tools that are mostly obtained in models that arise as the solution of SDEs with…

Probability · Mathematics 2008-12-02 Jaime A. Londoño

Almost twenty years ago, E.R. Fernholz introduced portfolio generating functions which can be used to construct a variety of portfolios, solely in the terms of the individual companies' market weights. I. Karatzas and J. Ruf recently…

Mathematical Finance · Quantitative Finance 2023-03-06 Ioannis Karatzas , Donghan Kim

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

We consider a continuous-time game-theoretic model of an investment market with short-lived assets and endogenous asset prices. The first goal of the paper is to formulate a stochastic equation which determines wealth processes of investors…

Mathematical Finance · Quantitative Finance 2020-09-01 Mikhail Zhitlukhin

Optimization methods are used to determine equilibria of investment in cryptocurrencies. The basic assumptions involve existence of a core group (the "wealthy") that fears the loss of substantial assets through government seizure.…

Mathematical Finance · Quantitative Finance 2019-04-16 Carey Caginalp , Gunduz Caginalp

Stablecoins have gained significant popularity recently, with their market cap rising to over $180 billion. However, recent events have raised concerns about their stability. In this paper, we classify stablecoins into four types based on…

General Economics · Economics 2023-08-15 Matthias Hafner , Marco Henriques Pereira , Helmut Dietl , Juan Beccuti

This study introduces a dynamic investment framework to enhance portfolio management in volatile markets, offering clear advantages over traditional static strategies. Evaluates four conventional approaches : equal weighted, minimum…

Portfolio Management · Quantitative Finance 2025-04-07 Jinhui Li , Wenjia Xie , Luis Seco

Individuals invest in Environmental-Social-Governance (ESG)-assets not only because of (higher) expected returns but also driven by ethical and social considerations. Less is known about ESG-conscious investor subjective beliefs about…

General Economics · Economics 2022-06-30 Pavel Ciaian , Andrej Cupak , Pirmin Fessler , d'Artis Kancs

In a financial market model, we consider variations of the problem of minimizing the expected time to upcross a certain wealth level. For exponential Levy markets, we show the asymptotic optimality of the growth-optimal portfolio for the…

Portfolio Management · Quantitative Finance 2009-04-14 Constantinos Kardaras , Eckhard Platen

We study market-to-book ratios of stocks in the context of Stochastic Portfolio Theory. Functionally generated portfolios that depend on auxiliary economic variables other than relative capitalizations ("sizes") are developed in two ways,…

Mathematical Finance · Quantitative Finance 2022-06-09 Donghan Kim

In the age of globalization, it is natural that the stock market of each country is not independent form the other markets. In this case, collective behavior could be emerged form their dependency together. This article studies the…

Statistical Finance · Quantitative Finance 2017-03-28 M. Saeedian , T. Jamali , M. Z. Kamali , H. Bayani , T. Yasseri , G. R. Jafari

This study is a detailed analysis of Speculation Game, a minimal agent-based model of financial markets, in which the round-trip trading and the dynamic wealth evolution with variable trading volumes are implemented. Instead of herding…

Statistical Finance · Quantitative Finance 2019-09-10 Kei Katahira , Yu Chen

We analyze structure of the world foreign currency exchange (FX) market viewed as a network of interacting currencies. We analyze daily time series of FX data for a set of 63 currencies, including gold, silver and platinum. We group…

Statistical Finance · Quantitative Finance 2009-06-03 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz , Andrzej Gorski

For long term investments, model portfolios are defined at the level of indexes, a setup known as Strategic Asset Allocation (SAA). The possible outcomes at a scale of a few decades can be obtained by Monte Carlo simulations, resulting in a…

Risk Management · Quantitative Finance 2025-11-25 Gilles Zumbach

Behavioural finance offers a valuable framework for examining foreign exchange (FX) market dynamics, including puzzles such as excess volatility and fat-tailed distributions. Yet, when it comes to their interaction with the `real' side of…

General Economics · Economics 2025-08-05 Marwil J. Davila-Fernandez , Serena Sordi

This study investigates whether international equity markets systematically price global macroeconomic risks. The empirical analysis is conducted using monthly excess returns for ten G20 countries over the period 2000-2024. A Dynamic Factor…

Applications · Statistics 2026-04-30 Vivek Mishra

This report analyzes key trends, challenges, risks, and opportunities associated with the development of Large Language Models (LLMs) globally. It examines national experiences in developing LLMs and assesses the feasibility of investment…

Recently, the application of advanced machine learning methods for asset management has become one of the most intriguing topics. Unfortunately, the application of these methods, such as deep neural networks, is difficult due to the data…

Computational Finance · Quantitative Finance 2022-07-05 Jinho Lee , Sungwoo Park , Jungyu Ahn , Jonghun Kwak

The emerging system at the European level can be conceptualized as a pattern of relations among member states that tends to be reproduced despite disturbances in individual trajectories. The Markov property is used as an indicator of…

Data Analysis, Statistics and Probability · Physics 2010-01-26 Loet Leydesdorff , Nienke Oomes

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