A bidimensional approach to mortality risk

Springer Science and Business Media LLC - Tập 29 Số 2 - Trang 71-94 - 2006
Enrico Biffis1, Pietro Millossovich2
1Faculty of Actuarial Science and Insurance, Cass Business School,
2Dipartimento di Matematica Applicata alle Scienze Economiche Statistiche ed Attuariali 'Bruno de Finetti', Università di Trieste,

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Tài liệu tham khảo

1. Adler, R. (1981): The geometry of random fields. Wiley, Chichester

2. Andreev, K. (1999): Demographic surfaces: estimation, assessment and presentation, with application to Danish mortality, 1835–1995. Ph.D. thesis. University of Southern Denmark, Odense

3. Artzner, P., Delbaen, F. (1995): Default risk insurance and incomplete markets. Mathematical Finance 5, 187–195

4. Biffis, E. (2004): Stochastic models for dynamic mortality. Actuarial applications. Ph.D. thesis. Department of Applied Mathematics, University of Trieste

5. Biffis, E. (2005): Affine processes for dynamic mortality and actuarial valuations. Insurance: Mathematics & Economics 37, 443–468

6. Brémaud, P. (1981): Point processes and queues. Martingale dynamics. Springer, New York

7. Burrows, R., Whitehead, G. (1987): The determination of life office appraisal values. Journal of the Institute of Actuaries 114, 411–465

8. Cairns, A., Blake, D., Dowd, K. (2006): Pricing death: frameworks for the valuation and securitization of mortality risk. ASTIN Bulletin 36, 79–120

9. CMI (1999): Continuous Mortality Investigation Committee. Report no. 17. The Institute of Actuaries and the Faculty of Actuaries, London

10. Dahl, M. (2004): Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts. Insurance: Mathematics & Economics 35, 113–136

11. Duffie, D. (2001): Dynamic asset pricing theory. Third ed. Princeton University Press, Princeton

12. Duffie, D., Kan, R. (1996): A yield-factor model of interest rates. Mathematical Finance 6, 379–406

13. Duffie, D., Pan, J., Singleton, K. (2000): Transform analysis and asset pricing for affine jump-diffusions. Econometrica 68, 1343–1376

14. Forfar, D., Smith, D. (1988): The changing shape of English life tables. Transactions of the Faculty of Actuaries 40, 98–134

15. Furrer, H. (2003): The term structure of interest rates as a random field. Applications to credit risk. Diploma thesis. ETH and University of Zürich, Zürich

16. Gerber, H.U. (1997): Life insurance mathematics. Third ed. Springer, Berlin

17. Goldstein, R.S. (2000): The term structure of interest rates as a random field. The Review of Financial Studies 13, 365–384

18. IASB (2004): International financial reporting standard no. 4. Insurance contracts. International Accounting Standards Board, London

19. Kallenberg, O. (2002): Foundations of modern probability. Second ed. Springer, New York,

20. Kennedy, D. (1994): The term structure of interest rates as a Gaussian random field. Mathematical Finance 4, 247–258

21. Kimmel, R. L. (2004): Modeling the term structure of interest rates: a new approach. Journal of Financial Economics 72, 143–183

22. Körezlioğlu, H., Szpirglas, J., Mazziotto, G. (1983): Nonlinear filtering equations for two-parameter semimartingales. Stochastic Processes and their Applications 15, 239–269

23. Lee, R., Carter, L. (1992): Modeling and forecasting the time series of U.S. mortality. Journal of the American Statistical Association 87, 659–671

24. Milevsky, M.A., Promislow, S.D. (2001): Mortality derivatives and the option to annuitize. Insurance: Mathematics & Economics 29, 299–318

25. Özkan, F., Schmidt, T. (2006): Credit risk with infinite dimensional Lévy processes. Statistics and Decisions, to appear

26. Hatzopoulos]Ren1996 Renshaw, A., Haberman, S., Hatzopoulos, P. (1996): The modelling of recent mortality trends in United Kingdom male assured lives. British Actuarial Journal 2, 449–477

27. Simpson, P.H., Wells, G.G. (2000): Insurance mergers & acquisitions. The Staple Inn Actuarial Society, London