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In portfolio optimization problems, the minimum expected investment risk is not always smaller than the expected minimal investment risk. That is, using a well-known approach from operations research, it is possible to derive a strategy…

Portfolio Management · Quantitative Finance 2016-12-15 Takashi Shinzato

We consider a stochastic model of investment on an asset of a stock market for a prudent investor. She decides to buy permanent goods with a fraction $\a$ of the maximum amount of money owned in her life in order that her economic level…

Disordered Systems and Neural Networks · Physics 2009-09-25 R. Baviera , M. Pasquini , M. Serva , A. Vulpiani

Predicting company growth is a critical yet challenging task because observed dynamics blend an underlying structural growth trend with volatile fluctuations. Here, we propose a Scaling-Theory-Informed Machine Learning (STIML) framework…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Ruyi Tao , Veronica R. Cappelli , Kaiwei Liu , Marcus J. Hamilton , Christopher P. Kempes , Geoffrey B. Wes , Jiang Zhang

Artificial stock market simulation based on agent is an important means to study financial market. Based on the assumption that the investors are composed of a main fund, small trend and contrarian investors characterized by four…

Trading and Market Microstructure · Quantitative Finance 2021-09-22 Yong Shi , Bo Li , Guangle Du

Significant differences in the evolution of firm size distribution for various industries in the United States have been revealed and documented. For theoretical considerations, this finding puts major constraints on the modelling of firm…

Statistical Finance · Quantitative Finance 2009-03-03 Ivan O. Kitov

We present an analytical study of an insurance company. We model the company's performance on a statistical basis and evaluate the predicted annual income of the company in terms of insurance parameters namely the premium, total number of…

Statistical Mechanics · Physics 2008-12-10 M. Ebrahim Fouladvand , Amir H. Darooneh

We introduce a mean-field type approximation for description of company's income statistics. Utilizing huge company data we show that a discrete version of Langevin equation with additive and multiplicative noises can appropriately describe…

Statistical Mechanics · Physics 2015-06-24 Takayuki Mizuno , Misako Takayasu , Hideki Takayasu

We study size and growth distributions of products and business firms in the context of a given industry. Firm size growth is analyzed in terms of two basic mechanisms, i.e. the increase of the number of new elementary business units and…

Condensed Matter · Physics 2009-11-10 G. De Fabritiis , F. Pammolli , M. Riccaboni

In the preceding paper we presented empirical results describing the growth of publicly-traded United States manufacturing firms within the years 1974--1993. Our results suggest that the data can be described by a scaling approach. Here, we…

We consider a stochastic game-theoretic model of an investment market in continuous time with short-lived assets and study strategies, called survival, which guarantee that the relative wealth of an investor who uses such a strategy remains…

Mathematical Finance · Quantitative Finance 2019-09-06 Mikhail Zhitlukhin

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

Optimization and Control · Mathematics 2026-04-14 Tianxiao Sun , Noah Schwarzkopf

Dual risk models are popular for modeling a venture capital or high tech company, for which the running cost is deterministic and the profits arrive stochastically over time. Most of the existing literature on dual risk models concentrated…

Risk Management · Quantitative Finance 2023-02-14 Arash Fahim , Lingjiong Zhu

Long term investment is one of the major investment strategies. However, calculating intrinsic value of some company and evaluating shares for long term investment is not easy, since analyst have to care about a large number of financial…

Machine Learning · Computer Science 2024-04-11 Nikola Milosevic

We give a new predictive mathematical model for macroeconomics, which deals specifically with asset prices and earnings fluctuations, in the presence of a dynamic economy involving mergers, acquisitions, and hostile takeovers. Consider a…

Other Condensed Matter · Physics 2007-05-23 William Gordon Ritter

Traditional statistical estimation, or statistical inference in general, is static, in the sense that the estimate of the quantity of interest does not change the future evolution of the quantity. In some sequential estimation problems…

Machine Learning · Computer Science 2021-12-01 Aolin Xu

Modelling all possible life cycles of a company in a highly competitive economic environment gives a significant advantage to the owner in his business investment activities. This article proposes and analyses a dynamic model of a company's…

General Finance · Quantitative Finance 2019-04-23 O. A. Malafeyev , I. I. Pavlov

Economic growth depends on capital investments and on investments in education and innovation. The model introduced here will specifiy aggregate output as determined by aggregate supply of capital and education investment. After formulating…

Dynamical Systems · Mathematics 2025-12-10 Ferdinand Verhulst

We propose a prediction model based on the minority game in which traders continuously evaluate a complete set of trading strategies with different memory lengths using the strategies' past performance. Based on the chosen trading strategy…

Portfolio Management · Quantitative Finance 2009-01-06 Andreas Krause

We consider the portfolio choice problem for a long-run investor in a general continuous semimartingale model. We suggest to use path-wise growth optimality as the decision criterion and encode preferences through restrictions on the class…

Portfolio Management · Quantitative Finance 2012-11-21 Constantinos Kardaras , Jan Obloj , Eckhard Platen

An investor is estimating net present value of a firm project and performs risk analysis. Usually it is created portfolio hierarchies and make comparison of variants of project based on these hierarchies. Then one finds that portfolio which…

Physics and Society · Physics 2008-12-02 Jana Hudakova , Ondrej Hudak
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