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Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes

Published online by Cambridge University Press:  07 February 2018

Jan Dhaene
Jan Dhaene*
Affiliation:
Instituut voor Actuariële Wetenschappen, K.U.Leuven, Belgium
*
Instituut voor Actuariële Wetenschappen, K.U.Leuven, Dekenstraat 2, 3000 Leuven, Belgium.
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Abstract

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A practical method is developed for computing moments of insurance functions when interest rates are assumed to follow an autoregressive integrated moving average process.

Keywords

ARIMA (p, d, q)-processesstochastic interest ratesmoments of insurance functions
Type
Articles
Information
ASTIN Bulletin: The Journal of the IAA , Volume 19 , Issue 2 , November 1989 , pp. 131 - 138
Copyright
Copyright © International Actuarial Association 1989

References

Bellhouse, D. R. and Panjer, H.H. (1981) Stochastic modelling of interest rates with applications to life contingencies — part II. Journal of Risk and Insurance, vol. XLVII no. 4, 628–637.CrossRefGoogle Scholar
Bowers, N.L., Gerber, H.U., Hickman, J.C., Jones, D.A. and Nesbit, C.J. (1987) Actuarial Mathematics, Society of Actuaries.Google Scholar
Box, G. E. P. and Jenkins, G.M. (1970) Time Series Analysis. Holden-Day, San Francisco.Google Scholar
Boyle, P.P. (1976) Rates of return as random variables. Journal of Risk and Insurance, vol. XLIII no. 4, 693–713.Google Scholar
Giaccotto, C. (1986) Stochastic modelling of interest rates: actuarial vs. equilibrium approach. Journal of Risk and Insurance, vol. LIII no. 3, 435–453.Google Scholar
Panjer, H. H. and Bellhouse, D. R. (1980) Stochastic modelling of interest rates with applications to life contingencies. Journal of Risk and Insurance, vol. XLVII no. 1, 91–110.CrossRefGoogle Scholar
Pollard, J.H. (1971) On fluctuating interest rates. Bulletin van de Koninklijke Vereniging van Belgische Actuarissen nr. 66, 68–97.Google Scholar