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In this paper, a robust optimal reinsurance-investment problem with delay is studied under the $\alpha$-maxmin mean-variance criterion. The surplus process of an insurance company approximates Brownian motion with drift. The financial…

Optimization and Control · Mathematics 2022-09-13 Min Zhang , Yong He

We consider an irreversible investment problem under incomplete information, where the investor decides whether and when to make investments in a project. Upon investment, the investor acquires previously hidden information from the…

Optimization and Control · Mathematics 2025-10-01 Topias Tolonen-Weckström

A decision-maker periodically acquires information about a changing state, controlling both the timing and content of updates. I characterize optimal policies using a decomposition of the dynamic problem into optimal stopping and static…

Theoretical Economics · Economics 2025-12-02 César Barilla

We propose a data-driven Neural Network (NN) optimization framework to determine the optimal multi-period dynamic asset allocation strategy for outperforming a general stochastic target. We formulate the problem as an optimal stochastic…

Computational Finance · Quantitative Finance 2020-06-30 Chendi Ni , Yuying Li , Peter Forsyth , Ray Carroll

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

Optimization and Control · Mathematics 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu

We solve an infinite time-horizon bounded-variation stochastic control problem with regime switching between $N$ states. This is motivated by the problem of a government that wants to control the country's debt-to-GDP (gross domestic…

Optimization and Control · Mathematics 2019-12-10 Giorgio Ferrari , Neofytos Rodosthenous

In this paper we consider stopping problems for continuous-time Markov chains under a general risk-sensitive optimization criterion for problems with finite and infinite time horizon. More precisely our aim is to maximize the certainty…

Probability · Mathematics 2019-07-05 Nicole Bäuerle , Anton Popp

In this paper we consider the problem of optimizing lifetime consumption under a habit formation model. Our work differs from previous results, because we incorporate mortality and pension income. Lifetime utility of consumption makes the…

Portfolio Management · Quantitative Finance 2022-10-13 S. Kirusheva , H. Huang , T. S. Salisbury

Money-back guarantees (MBGs) are features of pooled retirement income products that address bequest concerns by ensuring the initial premium is returned through lifetime payments or, upon early death, as a death benefit to the estate. This…

Portfolio Management · Quantitative Finance 2026-02-19 German Nova Orozco , Duy-Minh Dang , Peter A. Forsyth

We introduce an infinite-horizon, continuous-time portfolio selection problem faced by an agent with periodic S-shaped preference and present bias. The inclusion of a quasi-hyperbolic discount function leads to time-inconsistency and we…

Portfolio Management · Quantitative Finance 2024-10-25 Yushi Hamaguchi , Alex S. L. Tse

This paper studies the bank dynamic decision problem in the intermediate time step for a discrete-time setup. We have considered a three-time-step model. Initially, the banks raise money through debt and equity and invest in different types…

Risk Management · Quantitative Finance 2025-01-15 Deb Narayan Barik , Siddhartha P. Chakrabarty

This paper concerns an optimal dividend distribution problem for an insurance company with surplus-dependent premium. In the absence of dividend payments, such a risk process is a particular case of so-called piecewise deterministic Markov…

Portfolio Management · Quantitative Finance 2016-04-26 Ewa Marciniak , Zbigniew Palmowski

In this paper, we investigate an interesting and important stopping problem mixed with stochastic controls and a \textit{nonsmooth} utility over a finite time horizon. The paper aims to develop new methodologies, which are significantly…

Optimization and Control · Mathematics 2015-07-06 Chonghu Guan , Xun Li , Zuoquan Xu , Fahuai Yi

Banks are required to set aside funds in their income statement, known as a loan loss provision (LLP), to account for potential loan defaults and expenses. By treating the LLP as a global constraint, we propose a hybrid quantum-classical…

Even in the face of deteriorating and highly volatile demand, firms often invest in, rather than discard, aging technologies. In order to study this phenomenon, we model the firm's profit stream as a Brownian motion with negative drift. At…

Optimization and Control · Mathematics 2019-01-08 H. Dharma Kwon

This paper works out fair values of stock loan model with automatic termination clause, cap and margin. This stock loan is treated as a generalized perpetual American option with possibly negative interest rate and some constraints. Since…

Pricing of Securities · Quantitative Finance 2015-03-17 Shuqing Jiang , Zongxia Liang , Weiming Wu

Managing unemployment is one of the key issues in social policies. Unemployment insurance schemes are designed to cushion the financial and morale blow of loss of job but also to encourage the unemployed to seek new jobs more pro-actively…

Statistical Finance · Quantitative Finance 2019-09-05 Jason S. Anquandah , Leonid V. Bogachev

Networked Predictive Control is widely used to mitigate the effect of delays and dropouts in Networked Control Systems, particularly when these exceed the sampling time. A key design choice of these methods is the delay bound, which…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Severin Beger , Yihui Lin , Katarina Stanojevic , Sandra Hirche

Each household in a population characterized by income heterogeneity faces random demand for electricity and decides if and when it should adopt a solar product, rooftop solar or community solar. A central planner, aiming to meet an…

General Economics · Economics 2024-08-23 Swapnil Rayal , Apurva Jain , Matthew Lorig

We consider an optimal consumption/investment problem to maximize expected utility from consumption. In this market model, the investor is allowed to choose a portfolio which consists of one bond, one liquid risky asset (no transaction…

Mathematical Finance · Quantitative Finance 2019-01-30 Jin Hyuk Choi
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