Jean-François Walhin and Michel Denuit
Abstract
A top and drop cover is a treaty that can be found on the retrocession market. It offers capacity that can be used either to protect a top layer or a working layer. The former is called a ``top'' and the latter is called a ``drop.'' Using the traditional collective risk model, we demonstrate the use of a multivariate version of Panjer's algorithm to price this cover. We also compare the premium obtained within the exact model with the premiums obtained either with the Fréchet bounds or with the wrong assumption of independence.
Key words and phrases: multivariate Panjer's algorithm, excess of loss pricing, dependence, correlation order, stop-loss order, comonotonic risks, Fréchet bounds, supermodular order
Corresponding Author:
Jean-François Walhin
Secura
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B-1040 Bruxelles
E-mail: jfw@secura-re.com
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