Moving average rates of return and the variability of pension contributions and fund levels for a defined benefit pension scheme

Insurance: Mathematics and Economics

Volumn 20, Issue 2, 1997, Pages 115-135

  Haberman, Steven ^a   Patrick, Lam Yuk ^a   Wong, ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

Moving average rates of return; Optimal spread period; Pension funding; Variability of contributions and fund levels

Indexed keywords

EID: 0031591905     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(97)00009-7     Document Type: Article

References (20)

1. Box, G.E.P. and G.M. Jenkins (1976). Time Series Anaylsis: Forcasting and Control, Revised Edition. San Francisco, Holden Day.
2. Dhaene, J. (1989). Stochastic interest rates and autoregressive integrated moving average processes. ASTIN Bulletin 19, 131-138.
3. Dhaene, J. (1992). Actuarial functions and random rates of return. Association Royale Des Actuaires Belges Union Professionnelle Reconnue Bulletin 85, 23-36.
4. Dufresne, D. (1986). The dynamics of pension funding. Ph.D. thesis, City University, London, UK.
5. Dufresne, D. (1988). Moments of pension fund contributions and fund levels when rates of return are random. Journal of the Institute of Actuaries 115, 535-544.
6. Dufresne, D. (1990). Fluctuations of pension contributions and fund levels. Actuarial Research Clearing House 1, 111-120.
7. Dufresne, D. (1992). On discounting when rates of return are random. Transactions of the 24th International Congress of Actuaries 1, 27-44.
8. Frees, E.W. (1990). Stochastic life contingencies with solvency considerations. Transactions of the Society of Actuaries 42, 91-129.
9. Gerrard, R.J. and S. Haberman (1996). Stability of pension systems when gains/losses are amortized and rates of return are autoregressive. Insurance: Mathematics and Economics 18, 59-71.
10. Haberman, S. (1993a). Pension funding with time delays and autoregressive rates of investment return. Insurance: Mathematics and Economics 13, 45-56.
11. Haberman, S. (1993b). Pension funding: The effect of changing the frequency of valuations. Insurance: Mathematics and Economics 13, 263-270.
12. Haberman, S. (1994). Autoregressive rates of return and the variability of pension contributions and funds levels for a defined benefit pension scheme. Insurance: Mathematics and Economics 14, 219-240.
13. Haberman, S. and J.-H. Sung (1994). Dynamic approaches to pension funding. Insurance: Mathematics and Economics 15, 151-162.
14. Lee, E.M. (1986). An Introduction to Pension Schemes. Institute and Faculty of Actuaries, Oxford, UK.
15. O'Brien, T. (1986). A stochastic-dynamic approach to pension funding. Insurance: Mathematics and Economics 5, 141-146.
16. Thornton, P.N. and A.F. Wilson (1992). A realistic approach to pension funding. Journal of the Institute of Actuaries 119, 229-312.
17. Trowbridge, C.L. (1952). Fundamentals of pension funding. Transactions of the Society of Actuaries 4, 17-43.
18. Wilkie, A.D. (1995). More on a stochastic asset model for actuarial use. British Actuarial Journal 1, 777-945.
19. Wong, L.Y.P (1995). Moving Average Rates of Return and the Variability of Pension Contributions and Fund Levels for a Defined Benefit Pension Scheme, M.Sc. Dissertation, City University, London, UK.
20. Zimbidis A. and S. Haberman (1993). Delay, Feedback and the variability of pension contributions and fund levels. Insurance: Mathematics and Economics 13, 271-285.