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The Methodology of Actuarial Science

Published online by Cambridge University Press:  10 June 2011

J.M. Pemberton
Affiliation:
Prudential Corporation plc, 142 Holborn Bars, London EC1N 2NH, U.K. Tel: +44(0)171 548 3530; Fax: +44(0)171 548 3555; E-mail: [email protected]

Abstract

This paper considers actuarial science within the context of the framework provided by the formal study of scientific method. A review of key points of recent developments within the methodology (study of method) of science and the methodology of economics is presented. A characterisation of actuarial science and its methods is then developed using as inputs the United Kingdom actuarial education syllabus and recent work of the profession, most notably Bell et al., (1998). The methods of actuarial science are then considered within the framework provided by formal methodology to propose an articulation of the methodology of actuarial science. This methodology is explored in relation to that of other sciences, and some of the implications and opportunities for actuarial science which arise from this investigation are identified. The paper concludes that actuarial science has a distinctive and potentially powerful empirical method of applied approximation. This methodological analysis is intended, in part, to add to the momentum of the programme concerned with furthering the use of actuarial methods within broader spheres (eg Nowell et al., 1996).

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

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References

REFERENCES

Allan, J.N., Booth, P.M., Verrall, R.J. & Walsh, D.E.P. (1998). The management of risks in banking. B.A.J. 4, 707802.Google Scholar
Arrow, K. (1963). The role of securities in the optimal allocation of risk bearing. Review of Economic Studies, 31, 9196.CrossRefGoogle Scholar
Backhouse, R.E. (1994). New directions in economic methodology. Routledge.CrossRefGoogle Scholar
Beenstock, M. (1982). The robustness of the Black-Scholes option pricing model. Investment Analyst, October 1982, 3040.Google Scholar
Bell, L.L., Brender, A., Brown, R.L., Dicke, A.A., Gramer, C.R., Gutterman, S., Hughes, M.A., Klugman, S., Luckner, W., McMurray, M.A., Philbrick, S.W., Roberts, J.N., Terry, K.F., Tan, J.H., Walters, M.A., Woll, R.G. & Woods, P.B. (1998). General principles of actuarial science. Transactions of the 26th International Congress of Actuaries, 1, 145170.Google Scholar
Best, S. & Kellner, D. (1991). Postmodern theory: critical interrogations. Macmillan Press.CrossRefGoogle Scholar
Black, F. (1989). How to use the holes in Black-Scholes. Journal of Applied Corporate Finance, 1.Google Scholar
Black, F. & Scholes, M. (1972). The valuation of option contracts and a test of market efficiency. Journal of Finance, 27, 399417.CrossRefGoogle Scholar
Black, F. & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 82, 637654.CrossRefGoogle Scholar
Blaug, M. (1980). The methodology of economics or how economists explain. Cambridge University Press, New York.Google Scholar
Booth, P.M. (1997). Knowledge, wisdom, or understanding? The Actuary, May 1997.Google Scholar
Brearley, R.A. & Myers, S.C. (1996). Principles of corporate finance (fifth edition). McGraw-Hill Series in Finance.Google Scholar
Caldwell, B. (1994). Beyond positivism. Revised addition. Allen and Unwin, London.Google Scholar
Cartwright, N. (1983). How the laws of physics lie. Clarendon Press.CrossRefGoogle Scholar
Cartwright, N. (1989). Nature's capacities and their measurement. Clarendon Press.Google Scholar
Cartwright, N. (1998). The dappled world. Cambridge University Press (forthcoming).Google Scholar
Cartwright, N. & Jones, M. (1998). Correcting the model: idealization and abstraction in science. Poznan (forthcoming).Google Scholar
Clarkson, R.S. (1997). An actuarial theory of option pricing. B.A.J. 3, 321410.Google Scholar
Collins, H. M. (1985). Changing order. University of Chicago Press.Google Scholar
Cox, J.C. & Rubinstein, M. (1985). Options markets. Prentice-Hall.Google Scholar
Coutts, S.M. & Thomas, T.R.H. (1997). Modelling the impact of reinsurance on financial strength. B.A.J. 3, 583654.Google Scholar
Daykin, C.D., Pentikäinen, T. & Pesonen, M. (1994). Practical risk theory for actuaries. Chapman and Hall.Google Scholar
Debreu, G. (1959). Theory of value. Yale University Press.Google Scholar
De Marchi, N. (Editor) (1988). The Popperian legacy in economics. Cambridge University Press, Cambridge.CrossRefGoogle Scholar
Department of Trade and Industry (1995). Use of derivative contracts in insurance funds; DTI Insurance Division. Prudential Note 1995/3.Google Scholar
Draper, D. (1995). Assessment and propagation of model uncertainty. Journal of the Royal Statistical Society, Series B, 57, 4597.Google Scholar
Elton, E. J. & Gruber, M. J. (1981). Modern portfolio theory and investment analysis. John Wiley & Sons.Google Scholar
Exley, C.J., Mehta, S.J.B. & Smith, A.D. (1997). The financial theory of defined benefit pension schemes. B.A.J. 3, 835966.Google Scholar
Fama, E.F. (1970). Efficient capital markets: a review of theory and empirical work. Journal of Finance, May 1970.CrossRefGoogle Scholar
Feldblum, S. (1995). Forecasting the future: stochastic simulation and scenario testing. In Incorporating risk factors in dynamic financial analysis. Casualty Actuarial Society, 152177.Google Scholar
Ferguson, D.G.R. & Grace, P.H. (1997). Actuaries make financial sense of the future. Letter to members of the Institute and the Faculty of Actuaries, 10 April 1997.Google Scholar
Feyerabend, P.K. (1975). Against method: outline of an anarchist theory of knowledge. NLB, London.Google Scholar
Focardi, S. (1996). From equilibrium to non-linear dynamics in investment management. Journal of Portfolio Management, Summer 1996.Google Scholar
Friedman, M. (1953). Essays in positive economics. University of Chicago Press, Chicago.Google Scholar
George, S. (1994). A fate worse than debt. Penguin.Google Scholar
Giere, R.N. (1988). Explaining science: a cognitive approach. University of Chicago Press.CrossRefGoogle Scholar
Goodman, N. (1965). Fact, fiction, forecast (second edition). Bobbs-Merrill, New York.Google Scholar
Gould, S.J. (1981). The mismeasure of man. Penguin.Google Scholar
Gray, J. (1997). Overquantification. Financial Analyst Journal, November/December 1997.CrossRefGoogle Scholar
Gutterman, S. (1996). Presidential address: the redesign of the actuary. The Actuary (note: U.S. not U.K. version), December 1996.Google Scholar
Haavelmo, T. (1944). The probability approach in econometrics. Supplement to Econometrica, 12.CrossRefGoogle Scholar
Hacking, I. (1983). Representing and intervening. Cambridge University Press, Cambridge.CrossRefGoogle Scholar
Hausman, D. M. (1992). The inexact and separate science of economics. Cambridge University Press.CrossRefGoogle Scholar
Hempel, C.G. (1965). Aspects of scientific explanation. Free Press.Google Scholar
Hickman, J.C. (1997). Introduction to actuarial modeling. North American Actuarial Journal, 1, 3, 1–5.CrossRefGoogle Scholar
Huber, P.P. (1996). A study of the fundamentals of actuarial economic models. Doctoral thesis for City University (available from the Institute of Actuaries Library).Google Scholar
Huber, P.P. & Verrall, R.J. (1999). The need for theory in actuarial economic models. B.A.J. 5, 377395.Google Scholar
Hudson, R.L. (1998). Does quantum stochastic calculus have a role to play in mathematical finance? Nottingham University, unpublished manuscript.Google Scholar
Hull, J.C. (1997). Options, futures and other derivatives (third edition). Prentice-Hall International.Google Scholar
Hume, D. (1738). A treatise of human nature. Reprinted: Clarendon Press, 1966.Google Scholar
Hutchinson, T.W. (1994). Ends and means in the methodology of economics. In ‘New directions in economic methodology’, ed. Backhouse, R., Routledge.Google Scholar
Ingersoll, J.E. (1987). Theory of financial decision making. Rowman & Littlefield.Google Scholar
Institute of Actuaries (1993). This house believes that the contribution of actuaries to investment could be enhanced by the work of financial economists. J.I.A. 120, 393414.Google Scholar
Institute and Faculty of Actuaries (1997/1998). Student handbook.Google Scholar
Institution of Civil Engineers, Faculty of Actuaries, Institute of Actuaries (1998). Risk analysis and management for projects. Thomas Telford.Google Scholar
Jewell, W.S. (1980). Models in insurance: paradigms, puzzles, communications and revolutions. Transactions of the International Congress of Actuaries, S, 87141.Google Scholar
Kemp, M.H.D. (1994). Provisions for ‘adverse deviations’ for U.K. insurers. Unpublished manuscript.Google Scholar
Kemp, M.H.D. (1997). Actuaries and derivatives. B.A.J. 3, 51180.Google Scholar
Kennedy, P. (1992). A guide to econometrics, (third edition). Blackwell.Google Scholar
Keynes, J.M. (1936). The generai theory of employment, interest and money. The collected writings of John Maynard Keynes, VII, 1973. Macmillan Cambridge University Press.Google Scholar
Keynes, J.M. (1939). Professor Tinbergen's method. Economie Journal, 49, 558–68.Google Scholar
Kuhn, T. (1970). The structure of scientific revolutions, (second edition). University of Chicago Press, Chicago.Google Scholar
Kvale, S. (1992). Psychology and postmodernism. Sage Publications.Google Scholar
Lakatos, I. (1970). Falsification and the methodology of scientific research programmes. In Criticism and the growth of knowledge, ed. Lakatos, & Musgrave, . Cambridge University Press, Cambridge.CrossRefGoogle Scholar
Latsis, S.J. (editor) (1976). Method and appraisal in economics. Cambridge University Press, Cambridge.CrossRefGoogle Scholar
Lawson, T. (1997). Economics and reality. Routledge.CrossRefGoogle Scholar
Leijonhufvud, A. (1968). On Keynesian economics and the economics of Keynes. Oxford.Google Scholar
Leontief, W. (1982). Academic economics. Science, 217, 104107.CrossRefGoogle ScholarPubMed
Lipsey, R.G. (1963). An introduction to positive economics. Weidenfeld and Nicolson.Google Scholar
Mackie, J.L. (1974). The cement of the universe. Oxford University Press, Oxford.Google Scholar
Mccloskey, D. (1983). The rhetoric of economics. Journal of Economic Literature, 21, 135–58.Google Scholar
Mcnamee, S., Gergen, K.J. (1992). Therapy as social construction. Sage Publications.Google Scholar
Mehta, S.J.B. (1992). Allowing for asset, liability and business risk in the valuation of a life office. J.I.A. 119, 385455.Google Scholar
Mill, J.S. (1843). A system of logic. Reprinted 1949 by Longman, Green & Co, London.Google Scholar
Mirowski, P. (1994). What are the questions? In New directions in economic methodology, ed. Backhouse, R., Routledge.Google Scholar
Morgan, M.S. (1990). The history of econometric ideas. Cambridge University Press, Cambridge.CrossRefGoogle Scholar
Nagel, E. (1963). Assumptions in economic theory. American Economic Review: Papers and Proceedings, 53, 211219.Google Scholar
Nowell, P.J., Mccutcheon, J.J., Tompkins, P.D.G., Middlemiss, K.A., Scott, P.G., Hitchcox, A.N., Goford, J., Dash, A.C., Battams, E.A., Milne, R.J.H., Goodwin, E.M., Campbell, G.B.L. (1996). The future of the profession. B.A.J. 2, 325427.Google Scholar
O'Hear, A. (1989). An introduction to the philosophy of science. Clarendon Press, OxfordGoogle Scholar
Olsen, R.A. (1998). Behavioral finance and its implications for stock-price volatility. Financial Analyst Journal, March/April 1998.CrossRefGoogle Scholar
Pemberton, J.M. (1997). Equity option valuation made simple - and more reliable. Paper presented to the Staple Inn Actuarial Society.Google Scholar
Pemberton, J.M. (1997a). Actuarial option valuation - value consistency considerations. Paper for the 1997 Actuarial Investment Conference.Google Scholar
Pemberton, J.M. (1998). The value of actuarial values. Paper presented to the Staple Inn Actuarial Society.Google Scholar
Pemberton, J.M. (1998a). Why idealized models in economics have limited use. Correcting the model: idealization and abstraction in science, Ed. Cartwright, Nancy and Jones, Martin, Poznan, , (forthcoming).Google Scholar
Pemberton, J.M., Mehta, S.J.B., Paxton, T.A., Smith, A.D., Van Bezooyen, J. (1998). An update on option pricing techniques. AFIR/Investment Conference Proceedings, 1998. Pigou, A.C. (ed.) (1925). Memorials of Alfred Marshall. London.Google Scholar
Redington, F.M. (1986). A ramble through the actuarial countryside. Collected papers and speeches. Ed Chamberlain, G.. Institute of Actuaries Student Society.Google Scholar
Ritchken, P. (1997). Valuation of models for risk management and overcoming model risk. Case Western Reserve University, Unpublished manuscript.Google Scholar
Robbins, L. (1932). An essay on the nature and significance of economic science. Macmillan, London.Google Scholar
Roll, R. (1977). A critique of the asset pricing theory tests; part I: on past and potential testability of the theory. Journal of Financial Economics, 4, 2, 129–176.CrossRefGoogle Scholar
Rosenburg, A. (1994). What is the cognitive status of economic theory? in New directions in economic methodology, ed. Backhouse, R., Routledge.Google Scholar
Russell, B. & Whitehead, A.N. (1910). Principia mathematica. Cambridge University Press, Cambridge.Google Scholar
Salmon, W. (1985). Scientific explanation and the causal structure of the world. Princeton University Press, Princeton.CrossRefGoogle Scholar
Samuels, W. (1969). On the future of institutional economics. Journal of Economic Issues, 3 (September), 6772.CrossRefGoogle Scholar
Samuelson, P.A. (1965). Proof that properly anticipated prices fluctuate randomly. Industrial Management Review, 6, 4149.Google Scholar
Scott, P.G., Elliott, S.F., Gray, L.J., Hewitson, T.W., Lechmere, D.J., Lewis, D., Needleman, P.D. (1996). An alternative to the net premium valuation method for statutory reporting. B.A.J. 2, 527585.Google Scholar
Simons, K. (1997). Model error. New England Economic Review.Google Scholar
Smith, A.D. (1996). How actuaries can use financial economics. B.A.J. 2, 10571193.Google Scholar
Smith, C.W. (1976). Option pricing: a review. Journal of Financial Economics, 3, 351.CrossRefGoogle Scholar
Sneed, J.D. (1979). The logical structure of mathematical physics. D. Reidel Publishing Company.CrossRefGoogle Scholar
Sprague, T.B. (1875). On the usefulness of mathematical studies to the actuary. J.I.A. 18, 403416.Google Scholar
Staley, C.E. (1989). A history of economic thought from Aristotle to Arrow. Blackwell.Google Scholar
Van Fraassen, B.C. (1980). The scientific image. Clarendon.CrossRefGoogle Scholar
Veblen, T. (1961). The place of science in modern civilisation. Russell and Russell, New York.Google Scholar
Wilber, C.K. & Harrison, R.S. (1978). The methodological basis of institutional economics: pattern modelling, storytelling, and holism. Journal of Economic Issues, XII, 1.Google Scholar
Wilkie, A.D. (1986). A stochastic investment model for actuarial use. T.F.A. 39, 341403.Google Scholar
Wilkie, A.D. (1987). An option pricing approach to bonus policy. J.I.A. 114, 2176.Google Scholar
Wilkie, A.D. (1992). On the prudential valuation of written options. Transactions of the 24th International Congress of Actuaries.Google Scholar
Wisman, J.D. & Rozansky, J. (1991). The methodology of institutionalism revisited. Journal of Economic Issues, XXV, 3.Google Scholar
Wittgenstein, L. (1921). Tractatus logico-philosophicus. Routledge and Kegan Paul.Google Scholar
Wright, P.W., Burgess, S.J., Chadburn, R.G., Chamberlain, A.J.M., Frankland, R., Gill, J.E., Lechmere, D.J. & Margotti, S.F. (1998). A review of the statutory valuation of long-term insurance business in the United Kingdom. B.A.J. 4, 803864 and 1029–1058.Google Scholar
Young, T.E. (1880). Can a law of mortality be represented in a mathematical form? J.I.A. 22, 139140.Google Scholar
Young, T.E. (1897). The nature and history of actuarial work as exemplifying the mode of development and the methods of science. J.I.A. 33, 97131.Google Scholar