Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-25T21:18:21.374Z Has data issue: false hasContentIssue false

Fluctuating interest rates

Published online by Cambridge University Press:  01 July 2016

J. H. Pollard*
Affiliation:
Macquarie University

Extract

The annual premium for a life assurance contract is obtained by equating the expected discounted value of the sum payable on death to the expected discounted value of the series of premiums, and loading the resultant net premium for expenses and contingencies. The approach is essentially deterministic. An adequate stochastic model of mortality is readily available, but it is of limited practical value. A life office writes a large number of policies on independent lives and, apart from the effects of a few very large policies, the overall mortality behaviour of its portfolio is effectively deterministic.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1978 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Boyle, P. P. (1974) Rates of return as random variables. Unpublished manuscript.Google Scholar
Pollard, A. H. and Pollard, J. H. (1969) A stochastic approach to actuarial functions. J. Inst. Actuar. 95, 79113.Google Scholar
Pollard, J. H. (1971) On fluctuating interest rates. Bull. Assoc. Roy. Actuaires Belges 66, 6897.Google Scholar
Pollard, J. H. (1976) Premium loadings for non-participating business. J. Inst. Actuar. 103, 205212.Google Scholar
Praetz, P. D. (1976) Maturity guarantees for benefits linked to the Australian Stock Market. Bull. Inst. Actuar. Austral. N.Z., 393402.Google Scholar
Waters, H. R. (1978) The moments and distributions of actuarial functions. J. Inst. Actuar. 105, to appear.Google Scholar
Wilkie, A. D. (1976) The rate of interest as a stochastic process—theory and applications. Proc. 20th Internat. Congr. Actuaries, Tokyo 1976 1, 325338.Google Scholar