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In this paper, asymptotic results in a long-term growth rate portfolio optimization model under both fixed and proportional transaction costs are obtained. More precisely, the convergence of the model when the fixed costs tend to zero is…

投资组合管理 · 定量金融 2017-07-07 Sören Christensen , Albrecht Irle , Andreas Ludwig

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…

最优化与控制 · 数学 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

We investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite…

综合金融 · 定量金融 2011-04-20 Zhengjun Jiang , Martijn Pistorius

We revisit the optimization problem solved in L{\o}kka & Zervos (2008), i.e., the maximization of dividends, in a Brownian risk model, with the possibility (not the obligation) of making capital injections. Following the approach introduced…

最优化与控制 · 数学 2026-04-20 Tommy Mastromonaco , Nacer Fendri , Jean-François Renaud , Clarence Simard

We present an approach for pricing European call options in presence of proportional transaction costs, when the stock price follows a general exponential L\'{e}vy process. The model is a generalization of the celebrated work of Davis,…

数理金融 · 定量金融 2021-06-18 Nicola Cantarutti , João Guerra , Manuel Guerra , Maria do Rosário Grossinho

We study optimal investment in a financial market having a finite number of assets from a signal processing perspective. We investigate how an investor should distribute capital over these assets and when he should reallocate the…

投资组合管理 · 定量金融 2015-06-04 Sait Tunc , Suleyman S. Kozat

We consider the maximization of the long-term growth rate in the Black-Scholes model under proportional transaction costs as in Taksar, Klass and Assaf [Math. Oper. Res. 13, 1988]. Similarly as in Kallsen and Muhle-Karbe [Ann. Appl.…

投资组合管理 · 定量金融 2010-10-12 Stefan Gerhold , Johannes Muhle-Karbe , Walter Schachermayer

We study a model of a corporation which has the possibility to choose various production/business policies with different expected profits and risks. In the model there are restrictions on the dividend distribution rates as well as…

概率论 · 数学 2008-12-10 Tahir Choulli , Michael Taksar , Xun Yu Zhou

Rates of binomial processes are modeled using beta-binomial distributions (for example, from Beta Regression). We treat the offline optimization scenario and then the online one, where we optimize the exploration-exploitation problem. The…

应用统计 · 统计学 2017-09-12 Inon Sharony

This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

数理金融 · 定量金融 2025-05-30 Sang Hu , Zihan Zhou

We consider a version of the stochastic inventory control problem for a spectrally positive L\'evy demand process, in which the inventory can only be replenished at independent exponential times. We show the optimality of a periodic barrier…

最优化与控制 · 数学 2020-09-16 José-Luis Pérez , Kazutoshi Yamazaki , Alain Bensoussan

This work takes up the challenges of utility maximization problem when the market is indivisible and the transaction costs are included. First there is a so-called solvency region given by the minimum margin requirement in the problem…

投资组合管理 · 定量金融 2010-03-16 Qingshuo Song , G. Yin , Chao Zhu

In spite of the growing consideration for optimal execution in the financial mathematics literature, numerical approximations of optimal trading curves are almost never discussed. In this article, we present a numerical method to…

交易与市场微观结构 · 定量金融 2014-12-30 Olivier Guéant , Jean-Michel Lasry , Jiang Pu

The optimal capital structure model with endogenous bankruptcy was first studied by Leland (1994) and Leland and Toft (1996), and was later extended to the spectrally negative Levy model by Hilberink and Rogers (2002) and Kyprianou and…

综合金融 · 定量金融 2015-03-19 Budhi Arta Surya , Kazutoshi Yamazaki

Consider an insurance company for which the reserve process follows the Sparre Anderson model. In this paper, we study the optimal dividend problem for such a company as Bai, Ma and Xing [9] do. However, we remove the constant restriction…

最优化与控制 · 数学 2018-07-24 Linlin Tian , Lihua Bai , Junyi Guo

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…

最优化与控制 · 数学 2012-09-19 Jinxia Zhu

We consider the dividend maximization problem including a ruin penalty in a diffusion environment. The additional penalty term is motivated by a constraint on dividend strategies. Intentionally, we use different discount rates for the…

最优化与控制 · 数学 2022-04-20 Josef Anton Strini , Stefan Thonhauser

We consider the problem of designing a revenue-optimal mechanism in the two-item, single-buyer, unit-demand setting when the buyer's valuations, $(z_1, z_2)$, are uniformly distributed in an arbitrary rectangle $[c,c+b_1]\times[c,c+b_2]$ in…

计算机科学与博弈论 · 计算机科学 2019-03-06 D. Thirumulanathan , Rajesh Sundaresan , Y Narahari

We consider a continuous-time market with proportional transaction costs. Under appropriate assumptions we prove the existence of optimal strategies for investors who maximize their worst-case utility over a class of possible models. We…

数理金融 · 定量金融 2018-12-06 Huy N. Chau , Miklos Rasonyi

In this paper, we consider the mixed ratcheting-periodic dividend strategies for spectrally negative L\'{e}vy risk model, in which dividend payments can both be made continuously without falling and discretely at the jump times of an…

概率论 · 数学 2021-12-03 Fuyun Sun , Zhanjie Song