Stochastic Optimal Control in Finance

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: 31 July 2024 | Viewed by 600

Special Issue Editors


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Guest Editor
School of Mathematics Science, Nanjing Normal University, Nanjing 210023, China
Interests: stochastic processes and its application to insurance and finance; stochastic optimal risk control; mathematical finance; actuarial sciences

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Guest Editor
School of Mathematics, Shandong University, Jinan 250100, China
Interests: stochastic optimal control; financial mathematics; differential games

Special Issue Information

Dear Colleagues,

This Special Issue will publish original research articles focused on the development and application of stochastic control theory for the analysis of financial and actuarial problems; it also invites the submission of manuscripts that consider new stochastic control tools, as well as models and methods for mathematical finance and actuarial science. Author submissions should be presented in a mathematically rigorous style. Innovative contributions that address key research questions are highly encouraged.

Potential topics of interest include, but is not limited to, the following subjects:

  • Theory and analysis of financial markets;
  • Stochastic optimal strategy;
  • Derivatives research;
  • Theory and analysis of actuarial science;
  • Portfolio selection;
  • Risk management and control;
  • Statistical learning and empirical financial studies based on advanced stochastic control methods;
  • Numerical and stochastic solution techniques for solving problems in finance;
  • Stochastic differential game.

Prof. Dr. Zhibin Liang
Prof. Dr. Jingtao Shi
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • stochastic control
  • portfolio
  • reinsurance
  • dividend
  • risk
  • optimization
  • pricing
  • derivatives
  • game

Published Papers (1 paper)

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Research

20 pages, 459 KiB  
Article
Optimal Reinsurance and Derivative-Based Investment Decisions for Insurers with Mean-Variance Preference
by Haiying Zhou and Huainian Zhu
Mathematics 2024, 12(13), 2047; https://doi.org/10.3390/math12132047 - 30 Jun 2024
Viewed by 383
Abstract
In our study, we investigate reinsurance issues and optimal investment related to derivatives trading for a mean-variance insurer, employing game theory. Our primary objective is to identify strategies that are time-consistent. In particular, the insurer has the flexibility to purchase insurance in proportion [...] Read more.
In our study, we investigate reinsurance issues and optimal investment related to derivatives trading for a mean-variance insurer, employing game theory. Our primary objective is to identify strategies that are time-consistent. In particular, the insurer has the flexibility to purchase insurance in proportion to its needs, explore new business, and engage in capital market investments. This is under the assumption that insurance companies’surplus capital adheres to the classical Cramér-Lundberg model. The capital market is made up of risk-free bonds, equities, and derivatives, with pricing dependent on the underlying stock’s basic price and volatility. To obtain the most profitable expressions and functions for the associated investment strategies and time guarantees, we solve a system of expanded Hamilton–Jacobi–Bellman equations. In addition, we delve into scenarios involving optimal investment and reinsurance issues with no derivatives trading. In the end, we present a few numerical instances to display our findings, demonstrating that the efficient frontier in the case of derivative trading surpasses that in scenarios where derivative trading is absent. Full article
(This article belongs to the Special Issue Stochastic Optimal Control in Finance)
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