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This paper explores the optimal policy for using an allocated carbon emission budget over time with the objective to maximize profit, by explicitly taking into account present-biased preferences of decision-makers, accounting for…

Mathematical Finance · Quantitative Finance 2025-11-03 Hansjörg Albrecher , Jinxia Zhu

In this paper, we consider a company can simultaneously reduce its emissions and buy carbon allowances at any time. We establish an optimal control model involving two stochastic processes with two control variables, which is a singular…

Optimization and Control · Mathematics 2024-07-12 Xinfu Chen , Yuchao Dong , Wenlin Huang , Jin Liang

We address a long-standing open problem in risk theory, namely the optimal strategy to pay out dividends from an insurance surplus process, if the dividend rate can never be decreased. The optimality criterion here is to maximize the…

Portfolio Management · Quantitative Finance 2021-06-08 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

This paper is concerned with cost optimization of an insurance company. The surplus of the insurance company is modeled by a controlled regime switching diffusion, where the regime switching mechanism provides the fluctuations of the random…

Optimization and Control · Mathematics 2016-08-02 Chao Zhu

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

Mathematical Finance · Quantitative Finance 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We study the problem of optimal dividend payout from a surplus process governed by Brownian motion with drift under the additional constraint of ratcheting, i.e. the dividend rate can never decrease. We solve the resulting two-dimensional…

Probability · Mathematics 2020-12-22 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

In this paper we study the problem of optimally paying out dividends from an insurance portfolio, when the criterion is to maximize the expected discounted dividends over the lifetime of the company and the portfolio contains claims due to…

Portfolio Management · Quantitative Finance 2023-11-13 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

This paper studies the problem of optimally extracting nonrenewable natural resource in light of various financial and economic restrictions and constraints. Taking into account the fact that the market values of the main natural resources…

Mathematical Finance · Quantitative Finance 2016-11-29 Moustapha Pemy

In this paper, we aim to develop the theory of optimal stochastic control for branching diffusion processes where both the movement and the reproduction of the particles depend on the control. More precisely, we study the problem of…

Probability · Mathematics 2016-09-19 Julien Claisse

We consider a class of exit time stochastic control problems for diffusion processes with discounted criterion, where the controller can utilize a given amount of resource, called "fuel". In contrast to the vast majority of existing…

Optimization and Control · Mathematics 2015-01-30 Dmitry B. Rokhlin , Georgii Mironenko

The fossil-fuel induced contribution to further warming over the 21st century will be determined largely by integrated CO2 emissions over time rather than the precise timing of the emissions, with a relation of near-proportionality between…

General Economics · Economics 2020-06-09 Ashwin K Seshadri

In this paper we propose a new way of proving the value of a firm that is currently producing a certain product and faces the option to exit the market. The problem of optimal exiting is an optimal stopping problem, that can be solved using…

Optimization and Control · Mathematics 2013-09-23 Manuel Guerra , Cláudia Nunes , Carlos Oliveira

We analyze the problem of optimal reduction of the debt-to-GDP ratio in a stochastic control setting. The debt-to-GDP dynamics are modeled through a stochastic differential equation in which fiscal policy simultaneously affects both debt…

General Economics · Economics 2025-12-18 Claudia Ceci , Luca Semerari

This paper is concerned with a long standing optimal dividend payout problem subject to the so-called ratcheting constraint, that is, the dividend payout rate shall be non-decreasing over time and is thus self-path-dependent. The surplus…

Mathematical Finance · Quantitative Finance 2024-07-08 Chonghu Guan , Zuo Quan Xu

We consider the problem of reducing the carbon emissions of a set of firms over a finite horizon. A regulator dynamically allocates emission allowances to each firm. Firms face idiosyncratic as well as common economic shocks on emissions,…

General Economics · Economics 2021-02-25 René Aïd , Sara Biagini

We study an optimal dividend problem under a bankruptcy constraint. Firms face a trade-off between potential bankruptcy and extraction of profits. In contrast to previous works, general cash flow drifts, including Ornstein--Uhlenbeck and…

Optimization and Control · Mathematics 2018-03-05 Max Reppen , Jean-Charles Rochet , H. Mete Soner

This paper investigates the optimal harvesting strategy for a single species living in random environments whose growth is given by a regime-switching diffusion. Harvesting acts as a (stochastic) control on the size of the population. The…

Optimization and Control · Mathematics 2016-08-02 Qingshuo Song , Richard Stockbridge , Chao Zhu

We provide a theoretical framework to examine how carbon pricing policies influence inflation and to estimate the policy-driven impact on goods prices from achieving net-zero emissions. Firms control emissions by adjusting production,…

General Economics · Economics 2025-01-29 René Aïd , Maria Arduca , Sara Biagini , Luca Taschini

This paper draws on two sources of motivation: (1) The European Union Emission Trading Scheme (EU-ETS) aims at limiting the overall emissions of greenhouse gases. The optimal abatement strategy of companies for the use of emission permits…

Numerical Analysis · Mathematics 2015-03-27 Sebastian Steck , Karsten Urban

Greenhouse gas emissions from the residential sector represent a significant fraction of global emissions. Governments and utilities have designed incentives to stimulate the adoption of decarbonization technologies such as rooftop PV and…

Computers and Society · Computer Science 2025-02-14 Anupama Sitaraman , Adam Lechowicz , Noman Bashir , Xutong Liu , Mohammad Hajiesmaili , Prashant Shenoy
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