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Stochastic Investment Modelling: The Case of South Africa

Published online by Cambridge University Press:  10 June 2011

R.J. Thomson
Affiliation:
University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa. Tel: +27 11 646 5332; Fax: +27 11 339 6640; E-mail: rthomson@icon.co.za

Abstract

The purpose of this paper is to describe a methodology for determining an appropriate structure for time-series models of inflation rates, short-term and long-term interest rates, dividend growth rates, dividend yields, rental growth rates and rental yields and to demonstrate the application of that methodology to the development of a model based on South African data. It is suggested that the methodology used in this paper may be applied to other economic environments.

Type
Sessional meetings: papers and abstracts of discussions
Copyright
Copyright © Institute and Faculty of Actuaries 1996

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References

REFERENCES

Aziz, A.R. & Prisman, E.Z. (1994). Using Canadian index linked bonds to model real interest rates and to detect inflation risk premiums. 4th AFIR International Colloquium, 2, 485496.Google Scholar
Bierwag, G.O. (1978). Measures of duration. Economic Inquiry, 16, 497507.CrossRefGoogle Scholar
Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31, 307327.CrossRefGoogle Scholar
Box, G.E.P. & Jenkins, G.M. (1970). Time series analysis, forecasting and control. Holden Day, San Francisco.Google Scholar
Carter, J. (1991). The derivation and application of an Australian stochastic investment model. Transactions of the Institute of Actuaries of Australia, 1991, 1, 315–428.Google Scholar
Claassen, M.S. (1993). A systematic approach to the financial management and risk control of employee benefit funds. 3rd AFIR International Colloquium.Google Scholar
Claassen, M.S. & Huber, P.P. (1992). Integrating pension fund assets and liabilities: techniques for the 1990's. Transactions of the Actuarial Society of South Africa, 9, 209224.Google Scholar
Clark, G. (1992). Asset & liability modelling — the way ahead? Paper presented to the Staple Inn Actuarial Society.Google Scholar
Clarkson, R.S. (1991). A non-linear stochastic model for inflation. 2nd AFIR International Colloquium 3, 233253.Google Scholar
Engle, R.F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of U.K. inflation. Econometrica 50, 9871007.CrossRefGoogle Scholar
Fitzherbert, R.M. (1992). Stochastic investment models. Transactions of the Institute of Actuaries of Australia, 1992, 197255.Google Scholar
Geoghegan, T.J., Clarkson, R.S., Feldman, K.S., Green, S.J., Kitts, A., Lavecky, J.P., Ross, F.J.M., Smith, W.J. & Toutounchi, A. (1992). Report on the Wilkie stochastic investment model. J.I.A. 119, 173228.Google Scholar
Granger, C.W.J. & Newbold, P. (1977). Forecasting economic time series. Academic Press, New York.Google Scholar
Harris, G.R. (1994). On Australian stochastic share return models for actuarial use. Quarterly Journal of the Institute of Actuaries of Australia, September 1994, 3454.Google Scholar
Hua, V. (1994). Modelling equity returns using a simple ARCH model. 4th AFIR International Colloquium, 2, 537565.Google Scholar
Inet Graphics and Database Service (1994). Intelligent Network (pty) Limited.Google Scholar
Keeping, E.S. (1962). Introduction to statistical inference, Van Nostrana, Princeton.Google Scholar
Kitts, A. (1990). Comments on a model of retail price inflation. J.I.A. 117, 407413.Google Scholar
Maturity Guarantees Working Party of the Institute of Actuaries (MGWP) (1980). Report of the MGWP. J.I.A. 107, 103212.Google Scholar
Ong, A. (1994). A stochastic model for Treasury Bills: an extension to Wilkie's model. Actuarial Research Paper No. 68, City University, London.Google Scholar
Pierce, D.A. (1968). Distribution of residual correlations in dynamic/stochastic time series models. University of Wisconsin Technical Report 173, Aug., quoted in Box & Jenkins (1970).Google Scholar
Pukkila, T., Ranne, A. & Sarvamaa, S. (1994). On stochastic modelling of inflation. 4th AFIR International Colloquium, 2, 589608.Google Scholar
Tilley, J.A. (1990). A stochastic yield curve model for asset/liability simulations. 1st AFIR International Colloquium, 2, 6780.Google Scholar
Wilkie, A.D. (1981 & 1982). Indexing long-term financial contracts. J.I.A. 108, 299360 and T.F.A. 38, 55–126.Google Scholar
Wilkie, A.D. (1984). Steps towards a comprehensive stochastic investment model. Occasional Actuarial Research Discussion Paper No. 36, Institute of Actuaries.Google Scholar
Wilkie, A.D. (1986). A stochastic investment model for actuarial use. T.F.A. 39, 341403.Google Scholar
Wilkie, A.D. (1987). Stochastic investment models — theory and applications. Insurance: Mathematics and Economics 6, 6583.Google Scholar
Wilkie, A.D. (1992). Stochastic investment models for XXIst century actuaries. Transactions of the 24th International Congress of Actuaries, 5, 119137.Google Scholar
Wilkie, A.D. (1994a). A stochastic model for consumer prices and exchange rates in several countries. 4th AFIR International Colloquium, 2, 633658.Google Scholar
Wilkie, A.D. (1994b). Stochastic models for inflation, investments and exchange rates. Transactions of the 14th Conference of the International Association of Consulting Actuaries, 473509.Google Scholar
Wilkie, A.D. (1995). More on a stochastic asset model for actuarial use, B.A.J. 1, 777964.Google Scholar