In this paper, we generalize the parametric Delta-VaR method from portfolios with normally distributed risk factors to portfolios with elliptically distributed ones. We treat both expected shortfall and the Value-at-Risk of such portfolios. Special attention is given to the particular case of a...

This paper looks at markets characterized by the fact that the demand side is insured. In these markets a consumer purchases a good to compensate consequences of unfavorable events, such as an accident or an illness. Insurance policies in most lines of insurance base indemnity on the insured’s...

Many observers have expressed concerns about the impact of a rise in interest rates upon banks in India. In this paper, we measure the interest rate risk of a sample of major banks in India, using two methodologies. The first consists of estimating the impact upon equity capital of certain...

We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we develop new representation theorems for risk models, and optimality and duality theory for problems involving risk...

A user friendly approach to modeling the risk process is presented. It utilizes the insurance library of the XploRe computing environment which is accompanied by on-line, hyperlinked and freely downloadable from the web manuals and e-books. The empirical analysis for Danish fire losses for the...

This article is devoted to the study cashflow maps used in the computation of value-at-risk (VaR). Properties and characteristics of the approaches found in the literature are presented and two new approaches are introduced. The goal of this paper is to study the quality of these maps. This is...

The expected utility approach to decision making advocates a probability vision of the world and labels any deviation from it ‘irrational’. This paper reconsiders the rationality argument and argues that calculating risks is not a viable strategy in an uncertain world. Alternative strategies...

In this paper we introduce convex imprecise previsions as a special class of imprecise previsions, showing that they retain or generalise most of the relevant properties of coherent imprecise previsions but are not necessarily positively homogeneous. The broader class of weakly convex imprecise...

This paper investigates the valuation effects of reinsurance purchases in a contingent claims framework. The comparative statics of the model suggest that, other things held constant, the demand for reinsurance will be greater, 1) the higher the firm's leverage, 2) the lower the correlation...

In this paper, we consider the effect of First-degree Stochastic Dominance (FSD) changes in background multiplicative risk on the risk- taking attitude of a decision maker. First, we consider contractive FSD changes in background multiplicative risk and analyze the effect of these changes. Then,...