Abstract
In the paper we consider an endowment insurance contract with a twelve months maturation time. Using the majorization order and Schur-convex functions we derive upper and lower bounds of the premium, the death and survival benefits for a hetrogeneous population of insureds. The bounds are obtained for the exponential, Balducci, and linear approximations.
Original language | English |
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Pages (from-to) | 212-222 |
Number of pages | 11 |
Journal | Scandinavian Actuarial Journal |
Volume | 2002 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2002 |
Keywords
- Bounds
- Concave
- Convex
- Endowment
- Functions
- Insurance
- Lower
- Majoriza
- Schur
- Tion
- Upper
ASJC Scopus subject areas
- Statistics and Probability
- Economics and Econometrics
- Statistics, Probability and Uncertainty