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Calculating devices and actuarial work

Published online by Cambridge University Press:  20 April 2012

C. G. Lewin ,
J. V. Evans ,
K. J. Goodare  and
L. R. Packer
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Abstract

This paper is the report of a Research Group which has been examining developments in calculating devices, the effects on actuarial work and the future outlook.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 116 , Issue 2 , September 1989 , pp. 215 - 287
Copyright
Copyright © Institute and Faculty of Actuaries 1989

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References

(1) King, G. (1887). Life Contingencies. Institute of Actuaries textbook of the principles of interest, life annuities and assurance, and their practical application. Part 2. London: C. & E. Layton.Google Scholar
(2) Spurgeon, E. F. (1922). Life Contingencies. Cambridge: C. & E. Layton.Google Scholar
(3) Moorhead, J. Unpublished chapter in proposed book: Our Yesterdays—How Actuaries Calculated.Google Scholar
(4) ‘Calculating Machines and Instruments’, Catalogue of the Collections in the Science Museum. Compiled by D. Baxandall and revised by Jane Pugh. Science Museum, 1975.Google Scholar
(5) Horsburgh, E. M. (Editor). (1914). Napier Tercentenary Celebration. Handbook of the exhibition of Napier relics and of books, instruments and devices for facilitating calculation. Edinburgh: Royal Society of Edinburgh.Google Scholar
(6) Hooper, W. J. A. (1950). ‘Punched card mechanisation and its application to insurance work’. Journal of the Chartered Insurance Institute. Volume 47. Pages 61–73. (Also reprinted separately in 1952 by Powers-Samas Accounting Machines [Sales] Ltd.)Google Scholar
(7) Comrie, L. J. (1936). Speaker in the discussion of the paper: ‘Binary calculation’ by Phillips, E. William. J.I.A. 67, 208–211.Google Scholar
(8) Vickers, T. ‘Memory Lane’. Computer Bulletin. June 1986. Series III. Volume 2. Part 2. Page 40.Google Scholar
(9) Moreau, Rene. (1984). The computer comes of age: The people, the hardware, and the software. Massachusetts Institute of Technology Press.Google Scholar
(10) BPA (Technology and Management) Ltd. (1986). ‘Electronics: an industry in transition’. London: Financial Times Business Information.Google Scholar
(11) English Life Table. (1864). Tables of lifetimes, annuities, and premiums; with an introduction by William Farr, M.D., F.R.S., D.C.L. Published by authority of the Registrar-General of Births, Deaths, and Marriages in England. London: Longman & Co.Google Scholar
(12) Hannyngton, J. C. Major-General (1866). ‘On the adaptation of assurance formulae to the arithmometer of M. Thomas.’ Correspondence, April 1865. J.I.A. 12, 184.Google Scholar
(13) Hannyngton, J. C. Major-General (1872). ‘On the use of M. Thomas de Colmar's Arithmometer in actuarial and other computations’. J.I.A. 16, 244–253.Google Scholar
(14) Hardy, R. P. (1873) Valuation tables, based upon the Institute of Actuaries mortality experience (HM) table, at 3, 3½, 4 and 4½ per cent with other useful tables. Calculated by the arithmometer invented by Thomas, M. (de Colmar). London: C. & E. Layton.Google Scholar
(15) Chisholm, D. (1852). ‘On a new method of constructing a table of the probabilities of survivorship between two lives for every combination of ages, and also a table of the present value of survivorship assurances of £1 on (x) against (y)’. J.I.A. 2, 305–332.Google Scholar
(16) Sang, E. Life assurance and annuity tables, with a copious collection of rules and examples. Two volumes. Edinburgh: Edward Sang, 1841 (Volume 1); London: Edward Sang, 1859 (Volume 2).Google Scholar
(17) Henry, J. (1869). ‘Memoir on instrument for furnishing the D numbers, to four figures each, in two joint life annuity tables, on any basis’. J.I.A. 14, 212–226.Google Scholar
(18) Laundy, S. L. (1861). ‘On a method of using the “Table of quarter squares”.’ Correspondence, March 1860. J.I.A. 9, 112–115.Google Scholar
(19) Oakes, Lieut.-Col. Wm. H. (1863). ‘A method of multiplication which may be practised mentally’. J.I.A. 10, 326–327.Google Scholar
(20) Crelle, A. L. (1820) Rechentafeln welche alles multipliciren und dividiren mit Zahlen unter tausend ganz ersparen, bei grosseren Zahlen aber die Rechnung erleichtern und sicherer machen. Berlin: Georg Reimer. (First English edition: Dr Crelle, A. L.'s Calculating tables, revised by Dr. C. Bremiker. London: David Nutt, 1897.)Google Scholar
(21) Cotsworth's Direct Calculator (1894). London: Crosby Lockwood & Son.Google Scholar
(22) Davie, J. & Scrimgeour, D. A. B. (1930). ‘A method of using mechanical sorting and tabulating for the preparation and issue of bonus intimations’. T.F.A. 12, 249–259.Google Scholar
(23) Barnard, W. T. L. (1965). ‘Some changes in actuarial methods arising from the use of a small computer in a medium-sized office’. J.I.A. 91, 108–129.Google Scholar
(24) Davidson, A. R. (1930). Speaker in the discussion of the paper by Davie J. and Scrimgeour D. A. B. ‘A method of using mechanical sorting and tabulating for the preparation and issue of bonus intimations’. T.F.A. 12, 265–266.Google Scholar
(25) Phillips, E. W. (1936). ‘Binary calculation’. J.I.A. 67, 187–203.Google Scholar
(26) Churchhouse, R. F. (1980). ‘Computer arithmetic and the failure of the Associative Law’. Bulletin of the Institute of Mathematics and its Applications 16, No. 10, 210–214.Google Scholar
(27) Redington, F. M. (1969). ‘An Exploration into Patterns of Mortality’. J.I.A. 95, 278.Google Scholar
(28) Benjamin, S. (1966). ‘Putting Computers on to Actuarial Work’. J.I.A. 92, 134–171.Google Scholar
(29) Michaelson, R. L. (1953). ‘Large Scale Electronic Digital Computing Machines’. J.I.A. 79, 274–297.Google Scholar
(30) Baker, A. C. (1955). ‘Ordinary Life Office Organisation using a large-scale Electronic Computer’. J.I.A. 81, 203–237.Google Scholar
(31) Jecks, R. G. (1962) ‘Administration of Group Life and Pensions Business by Computer’. J.I.A. 88, 133–160.Google Scholar
(32) Gray, P. (1873). ‘On the Arithmometer of M. Thomas (de Colmar) and its application to the Construction of Life Contingency Tables’. J.I.A. 17, 249–266, J.I.A. 18, 20-32 and 123-132.Google Scholar
(33) Carment, D. (1880) ‘On the Application of the Arithmometer to the Construction of Tables of the Values of Endowment Assurance Policies’. J.I.A. 22, 368–380.Google Scholar
(34) Fackler, D. P. (1902). ‘Regarding the Mortality Investigation, instituted by the Actuarial Society of America and now in progress’. (Contains photographs of early punched-card equipment.) J.I.A. 37, 1–15.Google Scholar
(35) D'Ocagne, M. (1905). ‘The Simplification of Calculations by Mechanical and Graphical Processes’. Book Review by ‘W.R.S.’. J.I.A. 39, 377–379.Google Scholar
(36) Plummer, H. C. (1912). ‘On Aids to calculation, with special reference to some recently published Tables’. J.I.A. 46, 193–197.Google Scholar
(37) Scrimoeour, D. A. B. (1950). ‘The use of ’Powers” cards for the calculation of repayment schedules under annuities-certain’. T.F.A. 20, 78–82.Google Scholar
(38) Glaisher, J. W. L. (1980). ‘The Method of Quarter Squares’. J.I.A. 28, 227–235.Google Scholar
(39) Bennett, M. C., Berry, P. K., Brown, G. A., Farrington, G. W. & Hey, G. B. (1974). ‘An Approach to the Use of Computers in Actuarial Work’. J.I.A. 101, 299–331.Google Scholar
(40) Burrough, Sheila M. & Hey, G. B. (1981). ‘Table Making and Interpolation’. J.I.A. 108, 265–280.Google Scholar
(41) Recce, M. & Treleavan, P. ‘Computing from the Brain’. New Scientist, 26 May 1988, pp. 61–64.Google Scholar
(42) Williams, M. R. ‘Difference Engines’. The Computer Journal, February 1976, pp. 82–88.CrossRefGoogle Scholar
(43) Cendrowska, J. & Bramer, M. (1984). ‘Inside an Expert System: A Rational Reconstruction of the MYCIN Consultation System’. From ‘Artificial Intelligence’; by Tim O'Shea and Marc Eisenstadt, pp. 453–497.Google Scholar
(44) Encyclopedia Britannica, 11th Edition. 1910-11. Articles on ‘Calculating Machines’ and ‘Table, Mathematical’.Google Scholar
(45) Ball, W. W. Rouse (1917). ‘Mathematical Recreations and Essays’, London (seventh edition). Chapter XII deals with arithmetical calculating machines.Google Scholar
(46) Lucas, M. E. (1893). ‘Recreations Mathematiques’. Paris. Volume III contains a chapter entitled “Les Machines a calculer”. Pages 59–86.Google Scholar
(47) Smith, D. E. ‘History of Mathematics’, Dover reprint, pp. 202–206 of volume II deal with calculating devices.Google Scholar
(48) Four papers by King, George containing voluminous calculations: ‘On the Mortality among Assured Lives and the Requisite Reserves of Life Offices. Part I, Statistical.’ J.I.A. 19, 381.Google Scholar
‘On the Mortality among Assured Lives and the Requisite Reserves of Life Offices. Part II, Financial.’ J.I.A. 20, 233.Google Scholar
‘On the comparative Reserves of Life Assurance Companies according to various Tables of Mortality, at Various Rates of Interest.’ J.I.A. 37, 453.Google Scholar
‘On the Valuation in Groups of Whole-Life Policies by Select Mortality Tables.’ J.I.A. 40, 1.Google Scholar
(49) Beard, R. E. (1943). ‘The construction of a small-scale differential analyser and its application to the calculation of actuarial functions.’ J.I.A. 71, 193–211.Google Scholar