Stop-loss premiums are typically calculated under the assumption that the insured lives in the underlying portfolio are independent. Here we study the effects of small departures from this assumption. Using Edgeworth expansions, it is made transparent which configurations of dependence parameters ma
On dependence of risks and stop-loss premiums
β Scribed by Taizhong Hu; Zhiqiang Wu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 87 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0167-6687
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β¦ Synopsis
In this paper, we investigate the notion of multivariate dependence between individuals and its effect on the related stop-loss premiums. First, we consider the type of negative dependence between individuals in a portfolio that gives rise to the safest aggregate claims where the portfolio consists of m life insurance polices with each policy having a positive face amount during a certain reference period. We then apply the superadditive dependence ordering cursorily studied in the literature to compare the riskiness of portfolios. Part of the results in this paper are generalizations of the results in [Dhaene,
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