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In this paper, we study the robust optimal investment and risk control problem for an insurer who owns the insider information about the financial market and the insurance market under model uncertainty. Both financial risky asset process…

Numerical Analysis · Mathematics 2022-07-15 Chao Yu , Yuhan Cheng , Yilun Song

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…

Optimization and Control · Mathematics 2026-01-23 Jian-hao Kang , Zhun Gou , Nan-jing Huang

In this paper the utility optimization problem for a general insurance model is studied. The reserve process of the insurance company is described by a stochastic differential equation driven by a Brownian motion and a Poisson random…

Probability · Mathematics 2009-09-01 Yuping Liu , Jin Ma

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

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

Portfolio Management · Quantitative Finance 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

This paper considers a portfolio optimization problem in which asset prices are represented by SDEs driven by Brownian motion and a Poisson random measure, with drifts that are functions of an auxiliary diffusion factor process. The…

Portfolio Management · Quantitative Finance 2010-11-16 Mark Davis , Sebastien Lleo

We consider a financial market model driven by an R^n-valued Gaussian process with stationary increments which is different from Brownian motion. This driving noise process consists of $n$ independent components, and each component has…

Probability · Mathematics 2008-12-02 Akihiko Inoue , Yumiharu Nakano

We study an optimal investment problem under contagion risk in a financial model subject to multiple jumps and defaults. The global market information is formulated as a progressive enlargement of a default-free Brownian filtration, and the…

Probability · Mathematics 2013-02-22 Ying Jiao , Idris Kharroubi , Huyên Pham

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

Optimization and Control · Mathematics 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

This paper investigates a hybrid stochastic differential reinsurance and investment game between one reinsurer and two insurers, including a stochastic Stackelberg differential subgame and a non-zero-sum stochastic differential subgame. The…

Mathematical Finance · Quantitative Finance 2019-10-23 Yanfei Bai , Zhongbao Zhou , Helu Xiao , Rui Gao , Feimin Zhong

This paper investigates the finite horizon risk-sensitive portfolio optimization in a regime-switching credit market with physical and information-induced default contagion. It is assumed that the underlying regime-switching process has…

Portfolio Management · Quantitative Finance 2021-07-28 Lijun Bo , Huafu Liao , Xiang Yu

This paper considers a portfolio optimization problem in which asset prices are represented by SDEs driven by Brownian motion and a Poisson random measure, with drifts that are functions of an auxiliary diffusion 'factor' process. The…

Portfolio Management · Quantitative Finance 2015-03-13 Mark H. A. Davis , Sebastien Lleo

We study optimal investment problem for a diffusion market consisting of a finite number of risky assets (for example, bonds, stocks and options). Risky assets evolution is described by Ito's equation, and the number of risky assets can be…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev

We study the optimal investment stopping problem in both continuous and discrete case, where the investor needs to choose the optimal trading strategy and optimal stopping time concurrently to maximize the expected utility of terminal…

Mathematical Finance · Quantitative Finance 2020-05-01 Dingqian Sun

This paper studies an optimal forward investment problem in an incomplete market with model uncertainty, in which the underlying stocks depend on the correlated stochastic factors. The uncertainty stems from the probability measure chosen…

Portfolio Management · Quantitative Finance 2021-05-05 Juan Li , Wenqiang Li , Gechun Liang

We consider an investment problem in which an investor performs capital injections to increase the liquidity of a firm for it to maximise profit from market operations. Each time the investor performs an injection, the investor incurs a…

Optimization and Control · Mathematics 2019-10-04 David Mguni

We investigate the optimal reinsurance problem in a risk model with jump clustering features. This modeling framework is inspired by the concept initially proposed in Dassios and Zhao (2011), combining Hawkes and Cox processes with shot…

Optimization and Control · Mathematics 2024-09-23 Claudia Ceci , Alessandra Cretarola

We discuss an optimal investment, consumption and insurance problem of a wage earner under inflation. Assume a wage earner investing in a real money account and three asset prices, namely: a real zero coupon bond, the inflation-linked real…

Optimization and Control · Mathematics 2017-11-07 Calisto Guambe , Rodwell Kufakunesu

We study a problem of utility maximization under model uncertainty with information including jumps. We prove first that the value process of the robust stochastic control problem is described by the solution of a quadratic-exponential…

Probability · Mathematics 2016-10-11 Monique Jeanblanc , Anis Matoussi , Armand Ngoupeyou

We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero-sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous time on an infinite-time…

Mathematical Finance · Quantitative Finance 2026-03-31 Tiziano De Angelis , Caio César Graciani Rodrigues , Peter Tankov
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