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We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

Statistical Mechanics · Physics 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

Mathematical Finance · Quantitative Finance 2026-04-27 Thai Nguyen , Pertiny Nkuize

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

Mathematical Finance · Quantitative Finance 2018-06-20 Lijun Bo , Agostino Capponi

A model among many may only be best under certain states of the world. Switching from a model to another can also be costly. Finding a procedure to dynamically choose a model in these circumstances requires to solve a complex estimation…

Machine Learning · Computer Science 2023-10-10 Francesco Cordoni , Alessio Sancetta

The analysis of dollar inflation performed by the authors through the approximation of empirical data for 1913-2012 with a power-law function with an accelerating log-periodic oscillation superimposed over it has made it possible to detect…

Statistical Finance · Quantitative Finance 2012-07-18 Askar Akaev , Andrey Korotayev , Alexey Fomin

Empirical studies indicate the presence of multi-scales in the volatility of underlying assets: a fast-scale on the order of days and a slow-scale on the order of months. In our previous works, we have studied the portfolio optimization…

Mathematical Finance · Quantitative Finance 2019-09-04 Jean-Pierre Fouque , Ruimeng Hu

We introduce a dynamic optimization framework to analyze optimal portfolio allocations within an information driven contagious distress model. The investor allocates his wealth across several stocks whose growth rates and distress…

Portfolio Management · Quantitative Finance 2016-12-20 Lijun Bo , Agostino Capponi

The paper [12] examines a concept of equilibrium policies instead of optimal controls in stochastic optimization to analyze a mean-variance portfolio selection problem. We follow the same approach in order to investigate the Merton…

Optimization and Control · Mathematics 2020-04-23 I. Alia , F. Chighoub , N. Khelfallah , J. Vives

In this thesis we will primarily demonstrate how additional scalar degrees of freedom - which are motivated from many high-energy embeddings - open up new observational windows onto the physics of inflation. We construct a Bayesian…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Robert J. Hardwick

This paper studies a type of periodic utility maximization for portfolio management in an incomplete market model, where the underlying price diffusion process depends on some external stochastic factors. The portfolio performance is…

Portfolio Management · Quantitative Finance 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu

Technological progress is leading to proliferation and diversification of trading venues, thus increasing the relevance of the long-standing question of market fragmentation versus consolidation. To address this issue quantitatively, we…

Trading and Market Microstructure · Quantitative Finance 2019-06-26 Aleksandra Alorić , Peter Sollich

In the present paper a model of a market consisting of real and financial interacting sectors is studied. Agents populating the stock market are assumed to be not able to observe the true underlying fundamental, and their beliefs are biased…

General Finance · Quantitative Finance 2018-06-13 Fausto Cavalli , Ahmad Naimzada , Nicolò Pecora , Marina Pireddu

As the number of publicly traded companies as well as the amount of their financial data grows rapidly, it is highly desired to have tracking, analysis, and eventually stock selections automated. There have been few works focusing on…

Statistical Finance · Quantitative Finance 2014-06-04 Sercan Arik , Sukru Burc Eryilmaz , Adam Goldberg

Various scenarios of the initial inflation of the universe are distinguished by the choice of a scalar field {\em potential} $U(\phi)$ which simulates a {\it temporarily} non--vanishing {\em cosmological term}. Our new method, which…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Fjodor V. ~Kusmartsev , Eckehard W. ~Mielke , Yuri N. ~Obukhov , Franz E. ~Schunck

This paper uses new and recently established methodologies to study the evolutionary dynamics of the cryptocurrency market, and compares the findings with that of the equity market. We begin by applying random matrix theory and principal…

Statistical Finance · Quantitative Finance 2022-04-20 Nick James

The financial industry should be involved in mitigating the risk of downturns in the financial wellbeing indices around the world by implementing well-developed financial tools such as insurance instruments on the underlying wellbeing…

Portfolio Management · Quantitative Finance 2023-03-13 Thilini V. Mahanama , Abootaleb Shirvani , Svetlozar Rachev

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

This paper develops a dynamic factor model that uses euro area (EA) country-specific information on output and inflation to estimate an area-wide measure of the output gap. Our model assumes that output and inflation can be decomposed into…

Econometrics · Economics 2020-01-14 Florian Huber , Michael Pfarrhofer , Philipp Piribauer

In order to figure out and to forecast the emergence phenomena of social systems, we propose several probabilistic models for the analysis of financial markets, especially around a crisis. We first attempt to visualize the collective…

Statistical Finance · Quantitative Finance 2015-06-17 Takero Ibuki , Shunsuke Higano , Sei Suzuki , Jun-ichi Inoue , Anirban Chakraborti