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A Review of Wilkie's Stochastic Asset Model

Published online by Cambridge University Press:  10 June 2011

P.P. Huber
Affiliation:
Swiss Re Life & Health Ltd, Tower 42 International Financial Centre, Old Broad Street, London, EC2N 1HQ, U.K. Tel: +44 (0)20 7204 3994; Fax: +44 (0)20 7204 3941; E-mail: paul huber@swissre.com

Abstract

This paper reviews the United Kingdom stochastic asset model developed by Wilkie (1995b). Certain aspects of the methodology used to develop this model could be problematic. Moreover, Wilkie (1995b) did not provide a complete evaluation of his model; certain economic theories and the constancy of the model's parameter values did not appear to have been specifically considered. This paper attempts to provide a comprehensive review of Wilkie's model.

Type
Sessional meetings: papers and abstracts of discussions
Copyright
Copyright © Institute and Faculty of Actuaries 1997

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References

REFERENCES

Black, F. (1986). Noise. The Journal of Finance, 41, 529543.CrossRefGoogle Scholar
Box, G.E.P. & Jenkins, G.M. (1970). Time series analysis forecasting and control. Holden-Day, San Francisco, CA.Google Scholar
Breeden, D.T. (1979). An intertemporal asset pricing model with stochastic consumption and investment opportunities. Journal of Financial Economics, 7, 265296.CrossRefGoogle Scholar
Campbell, J.Y. & Ammer, J. (1993). What moves the stock and bond markets? A variance decomposition for long-term asset returns. Journal of Finance, 48, 337.Google Scholar
Chatfield, C. (1995). Model uncertainty, data mining and statistical inference. Journal of the Royal Statistical Society, Series A, 158, 419466.CrossRefGoogle Scholar
Clare, A.D., Thomas, S.H. & Wickens, M.R. (1994). Is the gilt-equity yield ratio useful for predicting U.K. stock returns? Economic Journal, 104, 303–15.CrossRefGoogle Scholar
Clarkson, R.S. (1991). A non-linear stochastic model for inflation. Proceedings of the 2nd AFIR International Colloquium, 3, 233253.Google Scholar
Darnell, A.C. & Evans, J.L. (1990). The limits of econometrics. Edward Elgar, Aldershot U.K.Google Scholar
Daykin, C.D. & Hey, G.B. (1990). Managing uncertainty in a general insurance company. J.I.A. 117, 173277.Google Scholar
Daykin, C.D., Pentikäinen, T., & Pesonen, M. (1994). Practical risk theory for actuaries. Chapman and Hall, London U.K.Google Scholar
Doornik, J.A. & Hendry, D.F. (1994). PcGive 8.0: an interactive econometric modelling system. International Thomson Publishing, London U.K.Google Scholar
Draper, D. (1995). Assessment and propagation of model uncertainty. Journal of the Royal Statistical Society, Series B, 57, 4597.Google Scholar
Dyson, A.C.L. & Exley, C.J. (1995). Pension fund asset valuation and investment. B.A.J. 1, 471557.Google Scholar
Fama, E.F. & French, K.R. (1988a). Permanent and temporary components of stock prices. Journal of Political Economy, 96, 246273.CrossRefGoogle Scholar
Fama, E.F. & French, K.R. (1988b). Dividend yields and expected stock returns. Journal of Financial Economics, 22, 325.CrossRefGoogle Scholar
Fisher, I. (1930). The theory of interest. Reprinted 1967. Augustus M. Kelly, New York, NY.Google Scholar
Ford, A., Benjamin, S., Gillespie, R.G., Hager, D.P., Loades, D.H., Rowe, B.N., Ryan, J.P., Smith, P. & W1LK1E, A.D. (1980). Report of the Maturity Guarantees Working Party. J.I.A. 107, 103212.Google Scholar
Franses, P.H. & Paap, R. (1994). Model selection in periodic autoregressions. Oxford Bulletin of Economics and Statistics, 56, 421439.CrossRefGoogle 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
Hardy, M.R. (1993). Stochastic simulation in life office solvency assessment. J.I.A. 120, 131151.Google Scholar
Harvey, A.C. (1989). Forecasting, structural time series models and the Kalman filter. Cambridge University Press, Cambridge U.K.Google Scholar
Hendry, D.F. (1995). Dynamic econometrics. Oxford University Press, Oxford U.K.CrossRefGoogle Scholar
Hodrick, R.J. (1992). Dividend yields and expected stock returns: alternative procedures for inference and measurement. Review of Financial Studies, 5, 357386.CrossRefGoogle Scholar
Huang, C.-F. & Litzenberger, R.H. (1988). Foundations for financial economics. Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
Keynes, J.M. (1923). A tract on monetary reform. Reprinted 1971 in the collected writings of John Maynard Keynes, Volume 4. Macmillan for the Royal Economic Society, London U.K.Google Scholar
Kitts, A. (1988). Applications of stochastic financial models: a review. Department of Social Statistics, University of Southampton U.K.Google Scholar
Kitts, A. (1990). Comments on a model of retail price inflation. J.I.A. 117, 407413.Google Scholar
Leamer, E.E. (1978). Specification searches: ad hoc inference with nonexperimental data. John Wiley and Sons, New York, NY.Google Scholar
Leroy, S.F. (1989). Efficient capital markets and martingales. Journal of Economic Literature, 27, 15831621.Google Scholar
Lewin, C.G., Carne, S.A., De Rivaz, N.F.C., Hall, R.E.G., Mckelvey, K.J., & Wilkie, A.D. (1995). Capital projects. B.A.J. 1, 155330.Google Scholar
Limb, A.P., Hardie, A.C., Loades, D.H., Lumsden, I.C., Mason, D.C., Pollock, G., Robertson, E.S., Scott, W.F. & Wilkie, A.D. (1986). The solvency of life assurance companies. T.F.A. 39, 251340.Google Scholar
Lo, A.W. & Mackinlay, A.C. (1988). Stock market prices do not follow random walks: evidence from a simple specification test. Review of Financial Studies, 1, 4166.CrossRefGoogle Scholar
Ludvik, P.M. (1993). The Wilkie model revisited. Proceedings of the 3rd AFIR International Colloquium, 2, 717724.Google Scholar
Malkiel, B.G. (1990). A random walk down Wall Street. W.W. Norton & Company, New York, NY.Google Scholar
Mizon, G.E. (1977). Inferential procedures in nonlinear models: an application in a U.K. industrial cross section study of factor substitution and returns to scale. Econometrica, 45, 12211242.CrossRefGoogle Scholar
Modigliani, F. & Miller, M.H. (1958). The cost of capital, corporation finance and the theory of investment. American Economic Review, 48, 261297.Google Scholar
Needleman, P.D. & Roff, T.A. (1995). Asset shares and their use in the financial management of a with-profits fund. B.A.J. 1, 603688.Google Scholar
Osborn, D.R. (1990). A survey of seasonality in U.K. macroeconomic variables. International Journal of Forecasting, 6, 327336.CrossRefGoogle Scholar
Purchase, D.E., Fine, A.E.M., Headdon, C.P., Hewitson, T.W., Johnson, C.M., Lumsden, I.C., Maple, M.H., O'Keeffe, P.J.L., Pook, P.J. & Robinson, D.G. (1989). Reflections on resilience: some considerations of mismatching tests, with particular reference to non-linked long-term insurance business. J.I.A. 116, 347452.Google Scholar
Ross, M.D. (1989). Modelling a with-profits life office. J.I.A. 116, 691715.Google Scholar
Shiller, R.J. (1981). The use of volatility measures in assessing market efficiency. Journal of Finance, 36, 291311.Google Scholar
Smith, A.D. (1996). How actuaries can use financial economics. B.A.J. 2, 10571194.Google Scholar
Spanos, A. (1986). Statistical foundations of econometric modelling. Cambridge University Press, Cambridge U.K.CrossRefGoogle Scholar
Wilkie, A.D. (1981). Indexing long-term financial contracts. J.I.A. 108, 299360.Google Scholar
Wilkie, A.D. (1984). Steps towards a comprehensive stochastic investment model. Occasional Actuarial Research Discussion Paper, 36. Institute of Actuaries, London U.K.Google Scholar
Wilkie, A.D. (1986a). A stochastic investment model for actuarial use. T.F.A. 39, 341403.Google Scholar
Wilkie, A.D. (1986b). Some applications of stochastic investment models. J.S.S. 29, 2551.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. (1995a). The risk premium on ordinary shares. B.A.J. 1, 251330.Google Scholar
Wilkie, A.D. (1995b). More on a stochastic asset model for actuarial use. B.A.J. 1, 777964.Google Scholar