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In recent studies the truncated Levy process (TLP) has been shown to be very promising for the modeling of financial dynamics. In contrast to the Levy process, the TLP has finite moments and can account for both the previously observed…

Statistical Mechanics · Physics 2008-12-10 Andrew Matacz

This paper studies optimal estimation of large-dimensional nonlinear factor models. The key challenge is that the observed variables are possibly nonlinear functions of some latent variables where the functional forms are left unspecified.…

Statistics Theory · Mathematics 2023-11-14 Yingjie Feng

A portfolio of different stocks and a risk-less security whose composition is dynamically maintained stable by trading shares at any time step leads to a growth of the capital with a nonrandom rate. This is the key for the theory of…

Disordered Systems and Neural Networks · Physics 2008-12-02 M. Serva

We consider a finite horizon optimal stopping problem related to trade-off strategies between expected profit and cost cash-flows of an investment under uncertainty. The optimal problem is first formulated in terms of a system of Snell…

Portfolio Management · Quantitative Finance 2010-01-25 Boualem Djehiche , Said Hamadène , Marie Amélie Morlais

The major perspective of this paper is to provide more evidence into the empirical determinants of capital structure adjustment in different macroeconomics states by focusing and discussing the relative importance of firm-specific and…

Economics · Quantitative Finance 2018-01-23 Andreas Kaloudis , Dimitrios Tsolis

In ergodic singular stochastic control problems, a decision-maker can instantaneously adjust the evolution of a state variable using a control of bounded variation, with the goal of minimizing a long-term average cost functional. The cost…

Optimization and Control · Mathematics 2025-10-14 Alessandro Calvia , Federico Cannerozzi , Giorgio Ferrari

We present a general framework for the estimation of corporate default based on a firm's capital structure, when its assets are assumed to follow a pure jump L\'evy processes; this setup provides a natural extension to usual default metrics…

Pricing of Securities · Quantitative Finance 2021-08-13 Jean-Philippe Aguilar , Nicolas Pesci , Victor James

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

Optimization and Control · Mathematics 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

In this paper, we revisit the optimal periodic dividend problem, in which dividend payments can only be made at the jump times of an independent Poisson process. In the dual (spectrally positive L\'evy) model, recent results have shown the…

Optimization and Control · Mathematics 2018-02-27 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

The study of systemic risk is often presented through the analysis of several measures referring to quantities used by practitioners and policy makers. Almost invariably, those measures evaluate the size of the impact that exogenous events…

Physics and Society · Physics 2023-04-13 Luka Klinčić , Vinko Zlatić , Guido Caldarelli , Hrvoje Štefančić

This paper develops a spatial-dynamic framework to analyze the theoretical and quantitative effects of a Land Value Tax (LVT) on urban land markets, capital accumulation, and spatial redistribution. Building upon the Georgist distinction…

General Economics · Economics 2025-12-01 Hugo Spring-Ragain

The primary aim of this research was to find a model that best predicts which fallen angel bonds would either potentially rise up back to investment grade bonds and which ones would fall into bankruptcy. To implement the solution, we…

Risk Management · Quantitative Finance 2022-12-12 Harrison Mateika , Juannan Jia , Linda Lillard , Noah Cronbaugh , Will Shin

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

In the paper we develop mathematical tools of quantile hedging in incomplete market. Those could be used for two significant applications: o calculating the \textbf{optimal capital requirement imposed by Solvency II} (Directive 2009/138/EC…

Risk Management · Quantitative Finance 2016-03-27 Przemysław Klusik

We suggest that Free Random Variables, represented here by large random matrices with spectral Levy disorder, may be relevant for several problems related to the modeling of financial systems. In particular, we consider a financial…

Condensed Matter · Physics 2009-11-07 Z. Burda , J. Jurkiewicz , M. A. Nowak , G. Papp , I. Zahed

We study the optimal investment stopping problem in both continuous and discrete case, where the investor needs to choose the optimal trading strategy and optimal stopping time concurrently to maximize the expected utility of terminal…

Mathematical Finance · Quantitative Finance 2020-05-01 Dingqian Sun

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

In the last few years there has been renewed interest in the classical control problem of de Finetti for the case that underlying source of randomness is a spectrally negative Levy process. In particular a significant step forward is made…

Probability · Mathematics 2010-08-16 Andreas E. Kyprianou , Ronnie Loeffen , Jose-Luis Perez

In our previous studies we have investigated the structural complexity of time series describing stock returns on New York's and Warsaw's stock exchanges, by employing two estimators of Shannon's entropy rate based on Lempel-Ziv and Context…

Statistical Finance · Quantitative Finance 2014-08-19 Paweł Fiedor