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Yet More on a Stochastic Economic Model: Part 1: Updating and Refitting, 1995 to 2009

Published online by Cambridge University Press:  01 March 2011

A. D. Wilkie ,
Şule Şahin ,
A. J. G. Cairns  and
Torsten Kleinow
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Abstract

In this paper we review the Wilkie asset model for a variety of UK economic indices, including the Retail Prices Index, both without and with an ARCH model, the wages index, share dividend yields, share dividends and share prices, long term bond yields, short term bond yields and index-linked bond yields, in each case by updating the parameters to June 2009. We discuss how the model has performed from 1994 to 2009 and estimate the values of the parameters and their confidence intervals over various sub-periods to study their stability. Our analysis shows that the residuals of many of the series are much fatter-tailed than in a normal distribution. We observe also that besides the stochastic uncertainty built into the model by the random innovations there is also parameter uncertainty arising from the estimated values of the parameters.

Keywords

Wilkie modelPrice inflationWagesShare dividend yieldsShare dividendsShare pricesLong-term bond yieldsShort-term bond yieldsIndex-linked bond yieldsARCH ModelsParameter uncertainty
Type
Papers
Information
Annals of Actuarial Science , Volume 5 , Issue 1 , March 2011 , pp. 53 - 99
Copyright
Copyright © Institute and Faculty of Actuaries 2010

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References

Booth, P. J., Chadburn, R., Cooper, D., Haberman, S., James, D. (1999). Modern actuarial theory and practice. Chapman & Hall CRC.Google Scholar
Clarkson, R. S. (1991). A non-linear stochastic model for inflation. Transactions of the 2nd AFIR International Colloquium, Brighton, 3, 233–253.Google Scholar
Daykin, C. D., Pentikainen, T., Pesonen, M. (1994). Practical risk theory for actuaries. Chapman & Hall.Google Scholar
Geohegan, T. J., Clarkson, R. S., Feldman, K. S., Green, S. J., Kitts, A., Lavecky, J. P., Ross, F. J. M., Smith, W. J., Toutounchni, A. (1992). Report on the Wilkie stochastic investment model. Journal of the Institute of Actuaries, 119(II), 173–228.Google Scholar
Hardy, M. (2003). Investment guarantees. John Wiley & Sons, Inc.Google Scholar
Hardy, M. (2004). Wilkie investment model. Encyclopedia of Actuarial Science, 3, 1750–1758.Google Scholar
Harris, G. R. (1995). A comparison of stochastic asset models for long term studies. Institute of Actuaries of Australia Quarterly Journal, 43–75.Google Scholar
Huber, P. P. (1997). A review of Wilkie's stochastic asset model. British Actuarial Journal, 3, 181–210.CrossRefGoogle Scholar
Kitts, A. (1990). Comments on a model of retail price inflation. Journal of the Institute of Actuaries, 117, 407–413.CrossRefGoogle Scholar
Lee, P. J., Wilkie, A. D. (2000). A comparison of stochastic asset models. Proceedings of the 10th AFIR Colloquium, Tromsoe, June, 407–445.Google Scholar
Ludvik, P. M. (1993). The Wilkie model revisited. Actuarial Approach for Financial Risks.Google Scholar
Nam, N. J. (2004). Sensitivity of results in stochastic asset liability modelling. Master Dissertation, City University, London.Google Scholar
Rambaruth, G. (2003). A comparison of Wilkie-type stochastic investment models. MSc Dissertation, The City University.Google Scholar
Smith, A. D. (1996). How actuaries can use financial economics. British Actuarial Journal, 2, 1057–1193.CrossRefGoogle Scholar
Thomson, R. J. (1996). Stochastic investment models: the case for South Africa. British Actuarial Journal, 2, 765–801.Google Scholar
Whitten, S. P., Thomas, R. G. (1999). A non-linear stochastic model for actuarial use. British Actuarial Journal, 5, 919–954.CrossRefGoogle Scholar
Wilkie, A. D. (1986). A stochastic investment model for actuarial use. Transactions of the Faculty of Actuaries, 39, 341–381.CrossRefGoogle Scholar
Wilkie, A. D. (1995). More on a stochastic asset model for actuarial use. British Actuarial Journal, 1, 777–964.CrossRefGoogle Scholar