Supermodular ordering and stochastic annuities

Insurance: Mathematics and Economics

Volumn 24, Issue 3, 1999, Pages 281-290

  Goovaerts, M J ^a   Dhaene, J ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

Stochastic annuities; Stop loss order; Supermodular ordering

Indexed keywords

EID: 0000252256     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(99)00002-5     Document Type: Article

References (21)

1. Bäuerle N., Müller A. Modeling and comparing dependencies in multivariate risk portfolios. ASTIN Bulletin. 28(1):1998;59-67.
2. Cox J.C., Ingersoll J., Ross S. A theory of the term structure of interest rates. Econometrica. 53:1985;385-405.
3. Delbaen F. Consols in the CIR model. Mathematical Finance. 3(2):1993;125-134.
4. De Schepper A., Teunen M., Goovaerts M.J. An analytical inversion of a Laplace transform related to annuities certain. Insurance: Mathematics and Economics. 14(1):1994;33-37.
5. Dhaene, J., Goovaerts, M.J., 1996. Dependency of risks and stop-loss order. ASTIN Bulletin, 26, 201-212.
6. Dhaene, J., Wang, S., Young, V., Goovaerts, M.J., 1998. Comonotonicity and maximal stop-loss premiums. DTEW, K.U. Leuven, Research Report 9730, pp. 13, submitted for publication.
7. Dufresne D. The distribution of a perpetuity with applications to risk theory and pension funding. Scandinavian Actuarial Journal. 9:1990;39-79.
8. Geman E., Yor M. Bessel processes, Asian options and perpetuities. Journal of Mathematical Finance. 3:1993;349-375.
9. Goovaerts M.J. Path-integral evaluation of a non-stationary Calogero model. Journal of Mathematical Physics. 16(3):1975;720-723.
10. Goovaerts M.J., Dhaene J. Actuarial applications of financial models. CWI Quarterly. 10(1):1997;55-64.
11. Goovaerts, M.J., Redant, R., 1999. On the distribution of IBNR reserves, Insurance: Mathematics and Economics, in press.
12. Goovaerts, M.J., Kaas, R., Van Heerwaarden, A., Bauwelinckx, T., 1986. Effective Actuarial Methods. Insurance Series, vol. 3. North-Holland, Amsterdam.
13. Milevsky M.A. The present value of a stochastic perpetuity and the Gamma distribution. Insurance: Mathematics and Economics. 20(3):1997;243-250.
14. Müller A. Stop-loss order for portfolios of dependent risks. Insurance: Mathematics and Economics. 21:1997;219-223.
15. Schmeidler D. Integral representation without additivity. Proceedings of the American Mathematical Society. 97:1986;255-261.
16. Tchen A. Inequalities for distributions with given marginals. Annals of Probability. 8:1980;814-827.
17. Topkis, D.M., 1998. Supermodularity and Complementarity. Frontiers of Economic Research. Princeton University Press, Princeton, NJ.
18. Vanneste, M., Goovaerts, M., Labie, E., 1994. The distribution of annuities. Insurance: Mathematics and Economics, 15 (1), 37-48.
19. Wang S., Dhaene J. Comonotonicity, correlation order and stop-loss premiums. Insurance: Mathematics and Economics. 22(3):1998;235-243.
20. Yaari M.E. The dual theory of choice under risk. Econometrica. 55:1987;95-115.
21. Yor M. On some exponential functionals of Brownian motion. Advances in Applied Probability. 24:1992;509-531.