Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T07:23:03.009Z Has data issue: false hasContentIssue false

Evaluation of the Capacity of Risk Carriers by Means of Stochastic-Dynamic Programming

Published online by Cambridge University Press:  29 August 2014

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Ministry of Social Affairs and Health, being the Supervising Office of Insurance in Finland, has established a special working group to investigate the problems involved with the solvency of insurers. A report will be compiled in a near future. The capacity of risk carriers is one of the problems dealt with, and it will be preliminarily reviewed in this paper.

The problem was treated by the working group parallelly by means of

1. an empirical approach observing actual fluctuations in underwriting gains of insurers, and

2. a theoretical approach, constructing a stochastic-dynamic model and studying its behaviour, especially its sensitivity to numerous background factors.

First the methods of investigation are described and their application is then demonstrated using some numerical data. Because a comprehensive report will be published by the working group separately, only the main schedule is given. For the same reason the consideration is limited here to stochastic risks, omitting the fact that the solvency of an insurer is also jeopardized by numerous “non-stochastic” risks such as failure in investments, political interference of the authorities, mismanagement of the company, or misappropriation of its property.

Type
Research Article
Copyright
Copyright © International Actuarial Association 1981

References

Beard, R. E., Pentikäinen, T. and Pesonen, E.. (1977). Risk Theory, Chapman and Hall, London.CrossRefGoogle Scholar
Becker, F. (1979). Analyse von Zeitreihen der Kraftfahrtversicherung und Feuerversicherung in Abhängigkeit von gesamtwirtschaftlichen Grössen, Verein zur Förderung der Versicherungswissenschaft an der Universität Mannheim e.V.Google Scholar
Helten, E. (1977). Business cycles and insurance, The Geneva Papers on Risk and Insurance: Essays in the Economic Theory of Risk and Insurance.Google Scholar
Karten, W. (1973). Zu Inhalt und Abgrenzung der Rückstellung für drohende Verluste aus schwebenden Geschäften in Versicherungsbilanzen, Versicherungswirtschaft 23, 73.Google Scholar
Karten, W. (1975). Zur Begründung einer sachgerechten Schwankungsriickstcllung, “Sorgen, versorgen, versichern”, Festschrift für Heinz Gebhardt, Hans Kalwar, Karlsruhe.Google Scholar
Karten, W. (1980). The new “Schwankungsrückstellung” in annual statements of German insurers. An application of the theory of risks, The Geneva Papers on Risk and Insurance.CrossRefGoogle Scholar
Pentikäinen, T. (1970). The fluctuation reserve as stipulated in the Finnish insurance company act of 1953, Bulletin of the Finnish Insurance Information Centre.Google Scholar
Pentikäinen, T. (1975). A model of stochastic-dynamic prognosis, Scandinavian Actuarial Journal.CrossRefGoogle Scholar
Pentikäinen, T. (1978a), A solvency testing model building approach for business planning, Scandinavian Actuarial Journal.CrossRefGoogle Scholar
Pentikäinen, T. (1978b), Dynamic programming, an approach for analysing competition strategies, Astin Bulletin.Google Scholar
Transactions, 21st International Congress of Actuaries, Zürich & Lausanne, 1980.Google Scholar