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The use of Archimedian copulas to model portfolio allocations. (English) Zbl 1072.91022
Summary: A copula is a means of generating an $$n$$-variate distribution function from an arbitrary set of n univariate distributions. For the class of portfolio allocators that are risk averse, we use the copula approach to identify a large set of $$n$$-variate asset return distributions such that the relative magnitudes of portfolio shares can be ordered according to the reversed hazard rate ordering of the $$n$$ underlying univariate distributions. We also establish conditions under which first- and second-degree dominating shifts in one of the $$n$$ underlying univariate distributions increase allocation to that asset. Our findings exploit separability properties possessed by the Archimedean family of copulas.

##### MSC:
 91B28 Finance etc. (MSC2000)
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