Social discounting conventions vary widely. Some differences reflect institutional constraints, but many reflect differing assumptions about how a social discount rate should be derived and applied. The divide between advocates of social opportunity cost and social time preference (STP) frameworks seems unbridgeable. There is no consensus among STP advocates on whether the social cost of funding $1 of public spending is barely more than $1 of consumption or perhaps more than $2; or on whether the covariance of public service benefits with income merits a discount rate premium that is trivial or a few percentage points. The practicalities of government fund raising are sometimes overlooked. The issues are here reviewed in the light of the literature and of experience with developing and applying social discounting regimes and extended debates within government.

A common moral argument is that shareholders have a special status because of risk when considering the duties of corporate management. The privileges of this status usually include the idea that management should adopt the goal of maximizing shareholder wealth. We argue that modern financial theory demonstrates that this argument should be modified by the recognition of a principle of desert, the shareholder desert principle (SDP). Financial theory can usefully circumscribe the duty owed to shareholders and the extent to which risk bearing justifies a claim on corporate value. When combined with the SDP, the result provides management with a guideline for what is owed to shareholders before other stakeholder non-contractual claims may be satisfied. As such, our approach provides management with some guidance through the thicket of competing stakeholder claims.

Gini-type correlation coefficients have become increasingly important in a variety of research areas, including economics, insurance and finance, where modelling with heavy-tailed distributions is of pivotal importance. In such situations, naturally, the classical Pearson correlation coefficient is of little use. On the other hand, it has been observed that when light-tailed situations are of interest, and hence when both the Gini-type and Pearson correlation coefficients are well defined and finite, these coefficients are related and sometimes even coincide. In general, understanding how these correlation coefficients are related has been an illusive task. In this paper, we put forward arguments that establish such a connection via certain regression-type equations. This, in turn, allows us to introduce a Gini-type weighted insurance pricing model that works in heavy-tailed situations and thus provides a natural alternative to the classical capital asset pricing model. We illustrate our theoretical considerations using several bivariate distributions, such as elliptical and those with heavy-tailed Pareto margins.

This paper studies optimal risk redistribution between firms, such as banks or insurance companies. The introduction of the Basel II regulation and the Swiss Solvency Test has increased the use of risk measures to evaluate financial or insurance risk. We consider the case where firms use a distortion risk measure (also called dual utility) to evaluate risk. The paper first characterizes all Pareto optimal redistributions. Thereafter, it characterizes all competitive equilibria. It presents three conditions that are jointly sufficient for existence of a unique equilibrium redistribution. This equilibrium's redistribution and prices are provided in closed form via a representative agent.

This paper shows how the powerful and flexible tool of stochastic modelling can be applied to a range of business decisions extending far beyond the asset allocation solutions that are common to many asset/liability modelling studies. The example used to demonstrate these techniques is a general insurance case study, but similar principles can be extended to many different business situations. At each stage of the analysis we consider the implications of modern financial theory on the management decision process together with a practical perspective on observed behaviour in the real world. Opportunities are taken to suggest directions in which further research may be of benefit to the actuarial profession.

Most businesses have assets financed by capital providers. The cost of capital is a measure of the returns required by those capital providers. Its main use is to set a target for the profits, which must be achieved on the firm's assets in order to satisfy equity and bond holders.

This paper describes the classical theory of the cost of capital, and then applies it to the special case of banking and insurance firms. We develop implications for product pricing, performance measurement and capital structure optimisation.

A general ‘multivariate’ decomposition of covariances is formulated and proved, and its role in the context of financial risk measurement and pricing is demonstrated.

Constraints imposed on premium calculation principles are studied under one aspect of competitive market theory: the impossibility of systematic arbitrage. Principles based on second moments or utility theory are shown to lead to arbitrage possibilities, while some other principles do not.

This paper provides an introduction to asset pricing theory and its applications in non-life insurance. The first part of the paper presents a basic review of asset pricing models, including discrete and continuous time capital asset pricing models (the CAPM and ICAPM), arbitrage pricing theory (APT), and option pricing theory (OPT). The second part discusses applications in non-life insurance. Among the insurance models reviewed are the insurance CAPM, discrete time discounted cash flow models, option pricing models, and more general continuous time models. The paper concludes that the integration of actuarial and financial theory can provide major advances in insurance pricing and financial management.

This article summarizes some main results in modern portfolio theory. First, the Markowitz approach is presented. Then the capital asset pricing model is derived and its empirical testability is discussed. Afterwards Neumann–Morgenstern utility theory is applied to the portfolio problem. Finally, it is shown how optimal risk allocation in an economy may lead to portfolio insurance.

This article summarizes some main results in modern portfolio theory. First, the Markowitz approach is presented. Then the capital asset pricing model is derived and its empirical testability is discussed. Afterwards Neumann–Morgenstern utility theory is applied to the portfolio problem. Finally, it is shown how optimal risk allocation in an economy may lead to portfolio insurance.

An insurance company is considered as an intermediary between policyholders and the capital market. By applying the traditional and the generalized version of the capital asset pricing model, a class of premium principles can be derived. This class is fully compatible with Bühlmann's economic premium principle. Moreover, insurance premiums can be directly related to risk premiums on the stock exchange.