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We consider a dynamic portfolio optimization problem that incorporates predictable returns, instantaneous transaction costs, price impact, and stochastic volatility, extending the classical results of Garleanu and Pedersen (2013), which…

Computational Finance · Quantitative Finance 2025-07-24 Patrick Chan , Ronnie Sircar , Iosif Zimbidis

In this article, we discuss a bivariate distribution whose conditionals are univariate binomial distributions and the marginals are not binomial that exhibits negative correlation. Some useful structural properties of this distribution…

Methodology · Statistics 2023-01-10 Indranil Ghosh , Filipe Marques , Subrata Chakraborty

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

Mathematical Finance · Quantitative Finance 2019-01-31 Ruimeng Hu

We study the loss in objective value when an inaccurate objective is optimized instead of the true one, and show that "on average" this loss is very small, for an arbitrary compact feasible region.

Optimization and Control · Mathematics 2011-05-02 Martina Gancarova , Michael Todd

This paper investigates the asymptotic behavior of higher-order conditional tail moments, which quantify the contribution of individual losses in the event of systemic collapse. The study is conducted within a framework comprising two…

Probability · Mathematics 2025-05-27 Zhangting Chen , Bingjie Wang , Dongya Cheng

Stochastic dominance of a random variable by a convex combination of its independent copies has recently been shown to hold within the relatively narrow class of distributions with concave odds function, and later extended to broader…

Probability · Mathematics 2024-12-13 Idir Arab , Tommaso Lando , Paulo Eduardo Oliveira

It is widely believed that fluctuations in transaction volume, as reflected in the number of transactions and to a lesser extent their size, are the main cause of clustered volatility. Under this view bursts of rapid or slow price diffusion…

Physics and Society · Physics 2008-12-02 Laszlo Gillemot , J. Doyne Farmer , Fabrizio Lillo

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In…

Statistical Mechanics · Physics 2009-11-10 J. R. Iglesias , S. Goncalves , G. Abramson , J. L. Vega

We argue that negative skew and positive mean of the distribution of stock returns are largely due to the broken symmetry of stochastic volatility governing gains and losses. Starting with stochastic differential equations for stock returns…

Statistical Finance · Quantitative Finance 2026-03-10 Siqi Shao , Arshia Ghasemi , Hamed Farahani , R. A. Serota

Our velocity measurements on a quasi-two-dimensional turbulent flow in a rapidly rotating annulus yield an inverse cascade with E(k)~k^{-2} rather than the expected E(k)~k^{-5/3}. The probability distribution functions for longitudinal…

Fluid Dynamics · Physics 2007-05-23 Charles N. Baroud , Brendan B. Plapp , Zhen-Su She , Harry L. Swinney

This paper investigates dividend optimization of an insurance corporation under a more realistic model which takes into consideration refinancing or capital injections. The model follows the compound Poisson framework with credit interest…

Optimization and Control · Mathematics 2012-09-19 Jinxia Zhu

Motivated by the fact that full diversity order is achieved using the "best-relay" selection technique, we consider opportunistic amplify-and-forward and decode-and-forward relaying systems. We focus on the outage probability of such a…

Information Theory · Computer Science 2016-11-15 Ashkan Kalantari , Mohammadali Mohammadi , Mehrdad Ardebilipour

We present and discuss a stochastic model of financial assets dynamics based on the idea of an inverse renormalization group strategy. With this strategy we construct the multivariate distributions of elementary returns based on the scaling…

Statistical Finance · Quantitative Finance 2014-02-20 Marco Zamparo , Fulvio Baldovin , Michele Caraglio , Attilio L. Stella

Financial time series exhibit two different type of non linear correlations: (i) volatility autocorrelations that have a very long range memory, on the order of years, and (ii) asymmetric return-volatility (or `leverage') correlations that…

Statistical Mechanics · Physics 2008-12-02 Josep Perello , Jaume Masoliver , Jean-Philippe Bouchaud

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

This manuscript provides optimization guarantees, generalization bounds, and statistical consistency results for AdaBoost variants which replace the exponential loss with the logistic and similar losses (specifically, twice differentiable…

Machine Learning · Computer Science 2013-05-14 Matus Telgarsky

Maintaining a competitive edge requires a firm to replace deteriorating business lines with new projects. Accordingly, part of a firm's value resides in its ability to exploit new opportunities. This article incorporates adaptation into…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kenton K. Yee

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

In a continuous-time economy, this paper formulates the Epstein-Zin preference for discounted dividends received by an investor as an Epstein-Zin singular control utility. We introduce a backward stochastic differential equation with an…

Mathematical Finance · Quantitative Finance 2026-04-27 Kexin Chen , Kyunghyun Park , Hoi Ying Wong

This paper describes a methodology for detecting anomalies from sequentially observed and potentially noisy data. The proposed approach consists of two main elements: (1) {\em filtering}, or assigning a belief or likelihood to each…

Machine Learning · Computer Science 2016-11-17 Maxim Raginsky , Rebecca Willett , Corinne Horn , Jorge Silva , Roummel Marcia