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Investment Returns and Inflation Models: Some Australian Evidence

Published online by Cambridge University Press:  10 June 2011

M. Sherris
Affiliation:
Faculty of Commerce and Economics, University of New South Wales, Sydney, Australia, 2052. Tel: +61-2-9385-2333; Fax: + 61-2-9385-1883; E-mail: [email protected]

Abstract

The development of stochastic investment models for actuarial and investment applications has become an important area of interest to actuaries. This paper reports the application of some techniques of modern time series and econometric analysis to Australian inflation, share market and interest rate data. It considers unit roots, cointegration and state space models. Some of the results from this analysis are not reflected in the published stochastic investment models.

Type
Sessional meetings: papers and abstracts of discussions
Copyright
Copyright © Institute and Faculty of Actuaries 1999

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References

REFERENCES

Ang, A. & Moore, D. (1994). The Australian yield curve: a cointegration analysis. Unpublished working paper, Macquarie University.Google Scholar
Bollerslev, T. (1986). Generalized autoregressive conditional heteroscedasticity. Journal of Econometrics, 31, 307327.Google Scholar
Box, G.E.P. & Jenkins, G.M. (1976). Time series analysis, forecasting and control. Holden-Day, San Francisco.Google Scholar
Campbell, J.Y. & Perron, P. (1991). Pitfalls and opportunities: what macroeconomists should know about unit roots. NBER Macroeconomics Annual, 141200.Google Scholar
Carter, J. (1991). The derivation and application of an Australian stochastic investment model. Transactions of The Institute of Actuaries of Australia, 315428.Google Scholar
Chow, G. (1960). Tests for equality between sets of coefficients in two linear regressions. Econometrica, 28, 591605.Google Scholar
Daykin, C.D. & Hey, G.B. (1989). Modelling the operations of a general insurance company by simulation. J.I.A. 116, 639662.Google Scholar
Daykin, C.D. & Hey, G.B. (1990). Managing uncertainty in a general insurance company. J.I.A. 117, 173259.Google Scholar
Dickey, D.A. & Fuller, W.A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74, 427431.Google Scholar
Dickey, D.A. & Fuller, W.A. (1981). Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica, 49, 10571072.CrossRefGoogle Scholar
Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50, 9871007.CrossRefGoogle Scholar
Engle, R. F. & Granger, C. W. (1987). Cointegration and error correction: representation, estimation and testing. Econometrica, 55, 251276.CrossRefGoogle Scholar
Fitzherbert, R. (1992). Stochastic investment models. Transactions of The Institute of Actuaries of Australia, 197255.Google Scholar
Fuller, W.A. (1976). Introduction to statistical time series. Wiley, New York, U.S.A.Google Scholar
Garcia, R. & Perron, P. (1996), an analysis of the real interest rate under regime shifts. Review of Economics and Statistics, 111126.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
Harris, G. (1994). On Australian stochastic share return models for actuarial use. The Institute of Actuaries of Australia Quarterly Journal, September, 34–54.Google Scholar
Harris, G. (1995). A comparison of stochastic asset models for long term studies. The Institute of Actuaries of Australia Quarterly Journal, September, 43–75.Google Scholar
Harris, G. (1997). Regime switching vector autoregressions: a Bayesian Markov chain Monte Carlo approach. Proceedings of the 7th International AFIR Colloquium, 1, 421451.Google Scholar
Harvey, A.C. (1989). Forecasting structural time-series models, and the Kalman filter. Cambridge University Press.Google Scholar
Holden, D. & Perman, R. (1994). Unit roots and cointegration for the economist, Chapter 3 in B. Rao, B. (ed.), Cointegration for the Applied Economist, Macmillan, London.Google Scholar
Huber, P. P. (1997). A review of Wilkie's stochastic asset model, B.A.J. 3, 181210.Google Scholar
Hylleberg, S., Engle, R.F., Granger, C.W.J. & Yoo, B.S. (1990). Seasonal integration and cointegration. Journal of Econometrics, 44, 215238.CrossRefGoogle Scholar
Johansen, S. & Juselius, K. (1990). Maximum likelihood estimation and inference on cointegration — with applications to the demand for money. Oxford Bulletin of Economics and Statistics, 52, 2, 169210.Google Scholar
Johansen, S. & Juselius, K. (1994). Identification of the long-run and the short-run structure: an application to the ISLM model. Journal of Econometrics, 63, 736.CrossRefGoogle Scholar
Mills, T.C. (1993). The econometric modelling of financial time series. Cambridge University Press, Great Britain.Google Scholar
Muscatelli, V. A. & Hurn, S. (1992). Cointegration and dynamic time series models. Journal of Economic Surveys, 6, 1, 143.Google Scholar
Perman, R. (1991). Cointegration: an introduction to the literature. Journal of Economic Studies, 18, 3, 3–30.Google Scholar
Phillips, P.C.B. & Ouliaris, S. (1990). Asymptotic properties of residual based tests for cointegration. Econometrica, 58, 165193.Google Scholar
Phillips, P.C.B. & Perron, P. (1988). Testing for units roots in time series regressions. Biometrika, 75, 335346.CrossRefGoogle Scholar
Said, S. E. & Dickey, D. A. (1984). Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika, 71, 599607.Google Scholar
SAS/ETS USERS GUIDE. (1993). SAS/ETS Users Guide, Version 6, 2nd Edition, SAS Institute Inc.: Cary, Nc, U.S.A..Google Scholar
Shazam User's Reference Manual. (1993). SHAZAM econometrics computer program, Version 7.0. Shazam, Vancouver, Canada.Google Scholar
Sherris, M. (1995). Interest rate risk factors in the Australian bond market. Proceedings of the 5th AFIR Colloquium.Google Scholar
Thomson, R. J. (1996). Stochastic investment modelling: the case of South Africa, B.A.J. 2, 765801.Google Scholar
Van Norden, S. & Vigfusson, R. (1996). Regime-switching models: a guide to the Bank of Canada Gauss procedures. Bank of Canada Working Paper, 96–3.CrossRefGoogle Scholar
Wilkie, A. D. (1986). A stochastic investment model for actuarial use. T.F.A. 39, 341403.Google Scholar
Wilkie, A. D. (1995). More on a stochastic asset model for actuarial use. B.A.J. 1, 777946.Google Scholar