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2022•MathematicsOpen access

Designing of Optimal Reinsurance Indemnity

Viktorija Skvarciany, Indrė Lapinskaitė

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Abstract

This paper contributes to relevant research in the area of optimal reinsurance indemnity and deals with the risk measures that are used in reinsurance. The research aims at finding optimal reinsurance contracts under different risk levels. The paper has demonstrated that the method of calculating the indemnity of the reinsurance contract discussed in the aforementioned article—the reduction of the square of excess of loss—can be generalised and is valid in all instances where p ∈ (0; 1) ∪ (1; +∞). The results could be useful for the insurance companies calculating indemnities for different cases, as they could state the degrees that fit their needs most.

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What this paper is about

This paper contributes to relevant research in the area of optimal reinsurance indemnity and deals with the risk measures that are used in reinsurance. The research aims at finding optimal reinsurance contracts under different risk levels. The paper has demonstrated that the method of calculating the indemnity of the reinsurance contract discussed in the aforementioned article—the reduction of the square of excess of loss—can be generalised and is valid in all instances where p ∈ (0; 1) ∪ (1; +∞). The results could be useful for the insurance companies calculating indemnities for different cases, as they could state the degrees that fit their needs most.

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Available abstract

This paper contributes to relevant research in the area of optimal reinsurance indemnity and deals with the risk measures that are used in reinsurance. The research aims at finding optimal reinsurance contracts under different risk levels. The paper has demonstrated that the method of calculating the indemnity of the reinsurance contract discussed in the aforementioned article—the reduction of the square of excess of loss—can be generalised and is valid in all instances where p ∈ (0; 1) ∪ (1; +∞). The results could be useful for the insurance companies calculating indemnities for different cases, as they could state the degrees that fit their needs most.

Key concepts: Reinsurance, Indemnity, Actuarial science, Business, Econometrics, Economics

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