Optimal reinsurance

1970 ◽  
Vol 7 (1) ◽  
pp. 134-156 ◽  
Author(s):  
P. W. A. Dayananda
Keyword(s):  
Fundamental Principle ◽  
Expected Value ◽  
Risk Theory ◽  
Critical Study ◽  
Insurance Company ◽  
Subsequent Work ◽  
Probability Of Ruin ◽  
Optimal Reinsurance

The fundamental principle underlying insurance is that the expected value of claims is equal to the premium. This was established by Bernoulli [4] in 1738. Subsequent work on the development of ‘risk theory’ led to research concerning the probability of ‘ruin’ of an insurance company. A critical study of these investigations was made by Borch [3] in a recent paper.

Optimal reinsurance

1970 ◽  
Vol 7 (01) ◽  
pp. 134-156 ◽  
Author(s):  
P. W. A. Dayananda
Keyword(s):  
Fundamental Principle ◽  
Expected Value ◽  
Risk Theory ◽  
Critical Study ◽  
Insurance Company ◽  
Subsequent Work ◽  
Probability Of Ruin ◽  
Optimal Reinsurance

The fundamental principle underlying insurance is that the expected value of claims is equal to the premium. This was established by Bernoulli [4] in 1738. Subsequent work on the development of ‘risk theory’ led to research concerning the probability of ‘ruin’ of an insurance company. A critical study of these investigations was made by Borch [3] in a recent paper.

Freedom to Define Membership in a Mutual Insurance Company

2021 ◽  
Vol 3 (108) ◽  
pp. 26-41
Author(s):  
Beata Mrozowska - Bartkiewicz
Keyword(s):  
Limited Liability ◽  
Fundamental Principle ◽  
Legal Framework ◽  
Business Activity ◽  
Insurance Company ◽  
Wide Range ◽  
Systemic Model ◽  
Mutual Insurance ◽  
Legal Forms

A mutual insurance society is one of the basic forms of conducting insurance activity. It is characterized by a very wide range of options which its founders and subsequently entitled members have in order to choose the organizational and systemic model of operation, to change it in the course of business, to define the concept of membership, to create various categories of members and provide them with different rights and duties, to determine the powers of statutory bodies, and, above all, to apply the method of mutuality. The Insurance and Reinsurance Activity Act regulates the basic legal framework of mutual companies, while referring quite a number of issues to the Polish Commercial Partnerships and Companies Code. This does not alter the fundamental principle on which the company's activity is based, namely that its articles of association play an extremely important role, which is much greater than in the case of public limited liability companies, and that members of a mutual insurance society enjoy considerable freedom to conduct business and categorize its members, which is unparalleled for other legal forms of business activity.

scholarly journals Analisis Kepuasan Pengguna Website Asuransi Untuk Peningkatan Pelayanan Asuransi Studi Kasus www.Cakrawalaproteksi.Com

2020 ◽  
Vol 1 (1) ◽  
Author(s):  
Syafitri Mona Sari ◽  
Firdaus Firdaus ◽  
A. Haidar Mirza
Keyword(s):  
Social Media ◽  
Customer Satisfaction ◽  
Insurance Industry ◽  
Expected Value ◽  
Insurance Company ◽  
Simple Analysis ◽  
Internet Users ◽  
The Difference

Currently, technology has developed quite rapidly and covers all aspects, including in the insurance industry. Almost every insurance company has a website or social media that can be accessed by all internet users as a means of promotion and transactions. PT. Asuransi Cakrawala Proteksi is an insurance company that also carries out promotions through websites and social media. This research will discuss the customer satisfaction of PT. Asuransi Cakrawala Protection with the role of social media. Customer satisfaction is determined by looking at the difference between the actual value received and the expected value using the website and social media Facebook. From calculating the level of customer satisfaction with ServQual dimensions and simple analysis, a strategy will be produced to maintain or increase customer satisfaction.

Optimal stopping of a risk process: model with interest rates

2002 ◽  
Vol 39 (2) ◽  
pp. 261-270 ◽  
Author(s):  
Bogdan Krzysztof Muciek
Keyword(s):  
Interest Rates ◽  
Optimal Stopping ◽  
Process Model ◽  
Stopping Time ◽  
Risk Process ◽  
Risk Theory ◽  
Dynamic Programming Method ◽  
Insurance Company ◽  
Initial Capital ◽  
The Times

The following problem in risk theory is considered. An insurance company, endowed with an initial capital a ≥ 0, receives premiums and pays out claims that occur according to a renewal process {N(t), t ≥ 0}. The times between consecutive claims are i.i.d. The sequence of successive claims is a sequence of i.i.d. random variables. The capital of the company is invested at interest rate α ∊ [0,1], claims increase at rate β ∊ [0,1]. The aim is to find the stopping time that maximizes the capital of the company. A dynamic programming method is used to find the optimal stopping time and to specify the expected capital at that time.

Optimal stopping of a risk process: model with interest rates

2002 ◽  
Vol 39 (02) ◽  
pp. 261-270 ◽  
Author(s):  
Bogdan Krzysztof Muciek
Keyword(s):  
Interest Rates ◽  
Optimal Stopping ◽  
Process Model ◽  
Stopping Time ◽  
Risk Process ◽  
Risk Theory ◽  
Dynamic Programming Method ◽  
Insurance Company ◽  
Initial Capital ◽  
The Times

The following problem in risk theory is considered. An insurance company, endowed with an initial capital a ≥ 0, receives premiums and pays out claims that occur according to a renewal process {N(t), t ≥ 0}. The times between consecutive claims are i.i.d. The sequence of successive claims is a sequence of i.i.d. random variables. The capital of the company is invested at interest rate α ∊ [0,1], claims increase at rate β ∊ [0,1]. The aim is to find the stopping time that maximizes the capital of the company. A dynamic programming method is used to find the optimal stopping time and to specify the expected capital at that time.

scholarly journals Diffusion approximations in collective risk theory

1969 ◽  
Vol 6 (2) ◽  
pp. 285-292 ◽  
Author(s):  
L. Donald Iglehart
Keyword(s):  
Large Deviations ◽  
Risk Premium ◽  
Risk Theory ◽  
Insurance Company ◽  
Diffusion Approximations ◽  
Security Risk ◽  
Insurance Policies ◽  
Collective Risk ◽  
A Company ◽  
Random Times

Collective risk theory is concerned with the random fluctations of the total assets, the risk reserve, of an insurance company. Consider a company which only writes ordinary insurance policies such as accident, disability, fire, health, and whole life. The policyholders pay premiums regularly and at certain random times make claims to the company. A policyholder's premium, the gross risk premium, is a positive amount composed of two components. The net risk premium is the component calculated to cover the payments of claims on the average, while the security risk premium, or safety loading, is the component which protects the company from large deviations of claims from the average and also allows an accumulation of capital. When a claim occurs the company pays the policyholder a positive amount called the positive risk sum.

OPTIMAL REINSURANCE FROM THE PERSPECTIVES OF BOTH AN INSURER AND A REINSURER

2015 ◽  
Vol 46 (3) ◽  
pp. 815-849 ◽  
Author(s):  
Jun Cai ◽  
Christiane Lemieux ◽  
Fangda Liu
Keyword(s):  
Wide Class ◽  
Value At Risk ◽  
Risk Measures ◽  
Convex Combination ◽  
Expected Value ◽  
Point Of View ◽  
The Other ◽  
Optimal Reinsurance ◽  
Optimal Form ◽  
Conflicting Interests

AbstractOptimal reinsurance from an insurer's point of view or from a reinsurer's point of view has been studied extensively in the literature. However, as two parties of a reinsurance contract, an insurer and a reinsurer have conflicting interests. An optimal form of reinsurance from one party's point of view may be not acceptable to the other party. In this paper, we study optimal reinsurance designs from the perspectives of both an insurer and a reinsurer and take into account both an insurer's aims and a reinsurer's goals in reinsurance contract designs. We develop optimal reinsurance contracts that minimize the convex combination of the Value-at-Risk (VaR) risk measures of the insurer's loss and the reinsurer's loss under two types of constraints, respectively. The constraints describe the interests of both the insurer and the reinsurer. With the first type of constraints, the insurer and the reinsurer each have their limit on the VaR of their own loss. With the second type of constraints, the insurer has a limit on the VaR of his loss while the reinsurer has a target on his profit from selling a reinsurance contract. For both types of constraints, we derive the optimal reinsurance forms in a wide class of reinsurance policies and under the expected value reinsurance premium principle. These optimal reinsurance forms are more complicated than the optimal reinsurance contracts from the perspective of one party only. The proposed models can also be reduced to the problems of minimizing the VaR of one party's loss under the constraints on the interests of both the insurer and the reinsurer.

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