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We study a portfolio selection problem in a continuous-time It\^o-Markov additive market with prices of financial assets described by Markov additive processes which combine L\'evy processes and regime switching models. Thus the model takes…

投资组合管理 · 定量金融 2018-06-12 Zbigniew Palmowski , Łukasz Stettner , Anna Sulima

We consider the impulse control of Levy processes under the infinite horizon, discounted cost criterion. Our motivating example is the cash management problem in which a controller is charged a fixed plus proportional cost for adding to or…

概率论 · 数学 2022-06-10 Peter Lakner , Josh Reed

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

证券定价 · 定量金融 2013-03-19 Łukasz Delong , Antoon Pelsser

This paper is mainly a survey of recent research developments regarding methods for risk minimization in financial markets modeled by It\^o-L\'evy processes, but it also contains some new results on the underlying stochastic maximum…

最优化与控制 · 数学 2014-04-11 Bernt Øksendal , Agnès Sulem

We consider an optimal dividend problem with transaction costs where the surplus is modelled by a spectrally negative L\'evy process in an Omega model. n this model, the surplus is allowed to spend time below the critical ruin level, but is…

最优化与控制 · 数学 2025-09-01 Dante Mata

We consider the bail-out optimal dividend problem under fixed transaction costs for a L\'evy risk model. Furthermore, we consider the version with a constraint expected net present value of injected capital. To characterize the solution to…

概率论 · 数学 2018-09-19 Mauricio Junca , Harold Moreno-Franco , José Luis Pérez

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…

风险管理 · 定量金融 2023-02-14 Arash Fahim , Lingjiong Zhu

The basic financial purpose of an enterprise is maximization of its value. Trade credit management should also contribute to realization of this fundamental aim. Many of the current asset management models that are found in financial…

投资组合管理 · 定量金融 2013-01-17 Grzegorz Michalski

We perform a detailed comparison between a Markov Switching Jump Diffusion Model and a Markov Switching {\alpha}-Stable Distribution Model with respect to the analysis of non-stationary data. We show that the jump diffusion model is…

应用统计 · 统计学 2016-05-20 Luca Di Persio , Vukasin Jovic

We consider an optimal control problem of a property insurance company with proportional reinsurance strategy. The insurance business brings in catastrophe risk, such as earthquake and flood. The catastrophe risk could be partly reduced by…

风险管理 · 定量金融 2010-09-08 Zongxia Liang , Lin He , Jiaoling Wu

This paper considers a newly delayed reinsurance and investment optimization problem incorporating random risk aversion, in which an insurer pursues maximization of the expected certainty equivalent of her/his terminal wealth and the…

最优化与控制 · 数学 2026-01-23 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We develop a finite horizon continuous time market model, where risk averse investors maximize utility from terminal wealth by dynamically investing in a risk-free money market account, a stock written on a default-free dividend process,…

证券定价 · 定量金融 2011-12-23 Agostino Capponi , Martin Larsson

In this paper we consider a multivariate risk model with common renewal process, while the logarithmic returns of the insurers investment portfolio, are described by a Levy process. In the two main results are established an asymptotic…

概率论 · 数学 2025-10-21 Dimitrios G. Konstantinides , Charalampos D. Passalidis

In this paper we investigate an optimal dividend problem with transaction costs, where the surplus process is modelled by a refracted L\'evy process and the ruin time is considered with Parisian delay. Presence of the transaction costs…

概率论 · 数学 2019-07-10 Irmina Czarna , Adam Kaszubowski

Transition risk can be defined as the business-risk related to the enactment of green policies, aimed at driving the society towards a sustainable and low-carbon economy. In particular, the value of certain firms' assets can be lower…

证券定价 · 定量金融 2023-03-23 Giulia Livieri , Davide Radi , Elia Smaniotto

Credit capital requirements in Internal Rating Based approaches require the calibration of two key parameters: the probability of default and the loss-given-default. This letter considers the uncertainty about these two parameters and…

统计金融 · 定量金融 2020-10-19 Roberto Baviera

This paper investigates a dividend optimization problem with a positive creeping-associated terminal value at ruin for spectrally negative Levy processes. We consider an insurance company whose surplus process evolves according to a…

概率论 · 数学 2023-01-10 Chongrui Zhu

This paper studies the bail-out optimal dividend problem with regime switching under the constraint that the cumulative dividend strategy is absolutely continuous. We confirm the optimality of the regime-modulated refraction-reflection…

数理金融 · 定量金融 2020-02-10 Kei Noba , José-Luis Pérez , Xiang Yu

This paper considers an optimal control of a big financial company with debt liability under bankrupt probability constraints. The company, which faces constant liability payments and has choices to choose various production/business…

风险管理 · 定量金融 2010-08-11 Zongxia Liang , Bin Sun

The expected present value of dividends is one of the classical stability criteria in actuarial risk theory. In this context, numerous papers considered threshold (refractive) and barrier (reflective) dividend strategies. These were shown…

最优化与控制 · 数学 2020-09-10 Benjamin Avanzi , José-Luis Pérez , Bernard Wong , Kazutoshi Yamazaki