Optimal Reinsurance Strategy for an Insurer and a Reinsurer with Generalized Variance Premium Principle
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-11
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper focuses on the optimal reinsurance problem with consideration of joint interests of an insurer and a reinsurer.
In our model, the risk process is assumed to follow a Brownian motion with drift.
The insurer can transfer the risk to the reinsurer via proportional reinsurance, and the reinsurance premium is calculated according to the variance and standard deviation premium principles.
The objective is to maximize the expected exponential utility of the weighted sum of the insurer’s and the reinsurer’s terminal wealth, where the weight can be viewed as a regularization parameter to measure the importance of each party.
By applying stochastic control theory, we establish the Hamilton–Jacobi–Bellman equation and obtain explicit expressions of optimal reinsurance strategies and optimal value functions.
Furthermore, we provide some numerical simulations to illustrate the effects of model parameters on the optimal reinsurance strategies.
American Psychological Association (APA)
Li, Danping& Shen, Chaohai. 2020. Optimal Reinsurance Strategy for an Insurer and a Reinsurer with Generalized Variance Premium Principle. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1197440
Modern Language Association (MLA)
Li, Danping& Shen, Chaohai. Optimal Reinsurance Strategy for an Insurer and a Reinsurer with Generalized Variance Premium Principle. Mathematical Problems in Engineering No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1197440
American Medical Association (AMA)
Li, Danping& Shen, Chaohai. Optimal Reinsurance Strategy for an Insurer and a Reinsurer with Generalized Variance Premium Principle. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1197440
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197440