Skip to main content

1989 | Buch

Financial Models of Insurance Solvency

herausgegeben von: J. David Cummins, Richard A. Derrig

Verlag: Springer Netherlands

Buchreihe : Catastrophe Modeling

insite
SUCHEN

Über dieses Buch

The First International Conference on Insurance Solvency was held at the Wharton School, University of Pennsylvania from June 18th through June 20th, 1986. The conference was the inaugural event for Wharton's Center for Research on Risk and Insurance. In atten­ dance were thirty-nine representatives from Australia, Canada, France, Germany, Israel, the United Kingdom, and the United States. The papers presented at the Conference are published in two volumes, this book and a companion volume, Classical Insurance Solvency Theory, J. D. Cummins and R. A. Derrig, eds. (Norwell, MA: Kluwer Academic Publishers, 1988). The first volume presented two papers reflecting important advances in actuarial solvency theory. The current volume goes beyond the actuarial approach to encom­ pass papers applying the insights and techniques of financial economics. The papers fall into two groups. The first group con­ sists of papers that adopt an essentially actuarial or statistical ap­ proach to solvency modelling. These papers represent methodology advances over prior efforts at operational modelling of insurance companies. The emphasis is on cash flow analysis and many of the models incorporate investment income, inflation, taxation, and other economic variables. The papers in second group bring financial economics to bear on various aspects of solvency analysis. These papers discuss insurance applications of asset pricing models, capital structure theory, and the economic theory of agency.

Inhaltsverzeichnis

Frontmatter
1. The Assessment of the Financial Strength of Insurance Companies by a Generalized Cash Flow Model
Abstract
This paper is concerned with the assessment of the financial strength of insurance enterprises of various kinds. This is of concern to many parties — not only shareholders and the supervisory authorities but also management, policyholders, potential investors and financial analysts are among those who require information about it. The aim of this paper is to develop a general framework that may be employed in producing information in assessing capital adequacy for published accounts prepared for shareholders, for the financial statements required by supervisory authorities and for management accounts.
Stewart M. Coutts, Russell Devitt
2. Cash Flow Simulation Models for Premium and Surplus Analysis
Abstract
This paper summarizes some typical results generated from a set of general cash flow simulation models which were produced to mimic a statutory insurance company operating in a general economic environment. The flows resulting from the underwriting and investment sides of the business are treated in an integrated and dynamic fashin. A large number of economic, company-specific, tax-specific, surplus-specific, and other factors are allowed in these models. Several results concerning the influence of size of underwriting firm, combined ratio, variability of losses, impairment of capital and probability of insolvency are given.
Albert S. Paulson, R. Dixit
3. Some Aspects of Life Assurance Solvency
Abstract
This paper uses a stochastic investment model developed by Professor A.D. Wilkie to study in probabilistic terms the investment risk to the solvency of a life assurance company. Two probabilities are considered for a cohort of policies:
i)
the probability that the premiums paid together with investment income and any initial reserve will be insufficient to pay for the claims,
 
ii)
the probability that at any time during the term of the policies the investment experience will have been sufficiently bad for a valuation to produce a deficit.
 
These probabilities are studied numerically for different investment strategies.
Howard R. Waters
4. The Solvency of a General Insurance Company in Terms of Emerging Costs
Abstract
The authors challenge the traditional balance sheet concept of the solvency of a general insurance company and put forward an emerging cost concept, which enables the true nature of the assets and liabilities to be taken into account, including their essential variability. Simulation is suggested as a powerful tool for use in examining the financial strength of a company. A simulation model is then used to explore the resilience of a company’s financial position to a variety of possible outcomes and to assess the probability that the assets will prove adequate to meet the liabilities with or without an assumption of continuing new business. This suggests the need for an appropriate asset margin assessed individually for each company. The implications for the management and supervision of general insurance companies are explored. The suggestion is made that the effectiveness of supervision based on the balance sheet and a crude solvency margin requirement is limited. More responsibility should be placed on an actuary or other suitably qualified professional individual to report on the overall financial strength of the company, both to management and to the supervisory authorities.
C. D. Daykin, G. D. Bernstein, S. M. Coutts, E. R. F. Devitt, G. B. Hey, D. I. W. Reynolds, P. D. Smith
5. Some General Approaches to Computing Total Loss Distributions and the Probability of Ruin
Abstract
This paper presents a completely general numerical approach to determination of total loss distributions. The approach makes use of two procedures, one involving numerical inversion of characteristic functions, and the other which utilizes the first four moments of the total loss in the Cornish-Fisher asymptotic expansion. A quantile based approximation is found to be useful in implementing these two procedures in a variety of difficult settings. When only severity of loss data x1, x2,..., xn is available, the estimate of the total loss distribution is non-parametric. The numerical procedures lead directly to parametric and non-parametric solutions of the ruin problem.
Albert S. Paulson, R. Dixit
6. Methods for Analyzing the Effects of Underwriting Risk on the Insurer’s Long-Term Solvency
Abstract
The aim of this paper is to develop further the ideas put forward in the Finnish solvency report (Pentikäinen-Rantala [1982]), and to provide a coherent framework for analyzing of how the insurer’s solvency is affected by the underwriting risk. The focus is primarily on long-term relations and properties. The insurer is viewed as a filter transforming the claims process the most important outputs being claims reserve, accumulated profit and the future premium rates. Main points of interest are the variability of both premiums and accumulated profit and the long-term need for the safety loading when stochastic structure of the claims process is varying and different rating rules are applied. The methods of time series theory and stochastic control theory are utilized. Also a practical example is considered.
Jukka Rantala
7. Concepts and Trends in the Study of Insurer’s Solvency
Abstract
Insolvency, a fundamental term in the insurance literature, is not clearly defined. Basically a firm is “solvent” within a single period model if its terminal value is higher than the total obligations to its creditors. For the more realistic case of a going concern, another definition is needed: an insurer will be regarded “ruined” (bankrupt) if its liabilities exceed the value of its assets, i.e., equity is zero (negative equity cannot occur in a stock company due to the limited liability!). In this situation the value of all future income streams is lower than the value of all debts (Stiglitz [1972]).
Yehuda Kahane, Charles S. Tapiero, Laurent Jacques
8. On the Application of Finance Theory to the Insurance Firm
Abstract
Traditional risk theory has tended to view the insurance firm too much from within. Although the insurance firm exists in an economic environment within which it must compete with other insurance firms as well as institutions which provide close substitutes to insurance services, this fact of life appears to have largely escaped the attention of risk theorists. While the implications of default risk for insurance company decision making and regulatory policy are widely discussed in the insurance solvency literature, this literature does not provide an internally consistent theoretical framework within which an acceptable ruin probability can be determined. As noted in the above quotation from Karl Borch’s well-known and highly regarded book, the literature treats the determination of the appropriate ruin probability as exogenous to the firm. One can only hope that Borch’s government inspector is endowed with King Solomon’s wisdom.
James R. Garven
9. On the Capital Structure of Insurance Firms
Abstract
Following Modigliani and Miller [1958], it has been customary to address the capital structure issue on the assumption that the firm’s operating decisions are predetermined and separable from its financing decisions. This convenient separation of operating and financing decisions is inappropriate for financial intermediaries. For example, Sealey [1982] points out that, for banks, the issue of deposits is simultaneously an operating and a financing decision. Similar issues arise for insurance firms. The sale of insurance policies generates the operating revenue of the insurance firm. But, although these “debt like” instruments are sold in the insurance product market (rather than in the capital market), they afford the firm a source of capital. The insurance “debt” and the equity issued by the insurer are used to construct a portfolio consisting of mostly of financial assets.
Neil Doherty
10. Risk Based Premiums for Insurance Guaranty Funds
Abstract
Property-liability insurance companies currently are subject to extensive solvency regulation. Insurers must satisfy minimum capital and surplus requirements and invest their assets within constraints imposed by state laws. Rates are regulated in most states with a principal objective being protection against “rate wars” and inadequate rates.
J. David Cummins
11. Solvency Levels and Risk Loadings Appropriate for Fully Guaranteed Property-Liability Insurance Contracts: A Financial View
Abstract
In the past, the determination of appropriate solvency levels for U.S. companies writing major property-liability insurance lines took a decidedly non-analytic approach. Verbal persuasion, reinforced by continual empirical observation, allowed for the dominance of the so-called Kenney Rules for the determination of an appropriate level of financial assets, relative to premiums written, as the required solvency level. For example, it would be assumed for regulatory purposes that if the ratio of assets to written premiums were normally 3/2 then policyholders could be assured of the payments of all their contractual claims.1
Richard A. Derrig
Backmatter
Metadaten
Titel
Financial Models of Insurance Solvency
herausgegeben von
J. David Cummins
Richard A. Derrig
Copyright-Jahr
1989
Verlag
Springer Netherlands
Electronic ISBN
978-94-009-2506-9
Print ISBN
978-94-010-7631-9
DOI
https://doi.org/10.1007/978-94-009-2506-9