Elliptical families and copulas: tilting and premium; capital allocation |
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| Authors: | Zinoviy Landsman |
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| Affiliation: | 1. Department of Statistics , University of Haifa , Mount Carmel, 31905, Haifa, Israel landsman@stat.haifa.ac.il |
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| Abstract: | Elliptical copula measures with symmetrical marginals are proposed as a natural generalization of the elliptical family, which preserves the symmetrical character of marginals, but is more flexible in the choice of their shape parameters. The properties of these copulas are investigated and the elliptical copula tilting and corresponding premium are proposed as a natural tool for portfolio capital allocation. For the case of the multivariate normal family, such a tilting and premium coincide with the Esscher transform and premium. |
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| Keywords: | Elliptical copula and family Symmetric marginals Elliptical copula tilting Premium Capital allocation |
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