Editors: Steven Haberman and Trevor A Sibbett
The History of Actuarial Science is the first collection of its kind. This edition covers the key period in the history of actuarial science from the mid-seventeenth century to the early nineteenth century. It gives an essential insight into how actuarial principles have developed throughout history. In 110 texts, the most important progressions in actuarial thought are preserved, with scholarly annotation placing the pieces in historical context.
Trevor Sibbett and Steven Haberman, with the support of the Institute of Actuaries have compiled the most significant pamphlets from the year 220 to those written in the early twentieth century.
Volume 1
Domitius Ulpianus, Ulpian's Table (200); Company of Parish Clerks, London's Dreadful Visitation (1657); John Graunt, Natural and Political Observations upon the Bills of Mortality (1662); Christiaan and Ludwig Huygens, Extracts from Letters (1669); Johan de Witt, Value of Life Annuities (1671); Edmund Halley, An Estimate of the Degrees of the Mortality of Mankind (1693); Nicholas Bernoulli, De Usu Artis Conjectandi in Jure (1709); John Smart, A Letter to George Heathcote re Tables of Bills of Mortality (1737); Nicholas Struyck, Appendix to Introduction to General Geography (1740); Antoine Deparcieux, Table XIII from Essay on the Probabilities of the Duration of Human Life (1746); Thomas Watkins, A Letter to William Brakenridge re the Terms and Period of Human Life (1761)
Volume 2
Leonhard Euler, A General Investigation into the Mortality and Multiplication of Human Species (1760); Pehr Wargentin, Mortality in Sweden (1766); Richard Price, Observations in Reversionary Payments (1783); Edward Wigglesworth, A Table shewing the Expectation of Life in the States of Massachusetts and New Hampshire (1793); Joshua Milne, A Treatise on the Valuation of Annuities and Assurances (1815); Benjamin Gompertz, On the Nature of the Function expressive of the Law of Human Mortality (1825); Thomas Young, A Formula for expressing the Decrement of Human Life (1826); John Finlaison, A Report on Life Annuities (1829); Thomas Rowe Edmonds, Life Tables founded upon the Discovery of a Numerical Law (1832); Francis Corbaux, On the Natural and Mathematical Laws Concerning Population, Vitality, and Mortality (1833); Augustus de Morgan, An Essay on Probabilities (1838); William Makeham, On the law of Mortality and the Construction of Annuity Tables (1859); Ludvig Oppermann, On the Graduation of Life Tables (1870); Wilhelm Lexis, Diagram from the Introduction to the Theory of Population Statistics (1875); Wilhelm Lexis, On the Theory of Mass Distribution in Human Society (1877)
Volume 3
Abraham De Moivre, Annuities on Lives (1725); Richard Hayes, A New Method for Valuing of Annuities upon Lives (1727); Abraham De Moivre, The Doctrine of Chances (1738); Thomas Simpson, The Doctrine of Annuities and Reversions (1742); Thomas Simpson, Select Exercises for Young Proficients in the Mathematicks (1752); James Dodson, The Mathematical Repository, Vol. III (1755); Richard Price, Observations on Reversionary Payments (1771)
Volume 4
William Dale, Calculations deduced from First Principles (1772); William Dale, Supplement to Calculations of the Value of Annuities (1777); Johannes Nikolaus Tetens, Introduction to the Calculation of Life Annuities (1785); Johannes Nikolaus Tetens, On the Tetens Mortality Curve (1785); Francis Baily, The Doctrine of Life-Annuities and Assurances (1810); Griffith Davies, Tables of Life Contingencies (1825); David Jones, On the Value of Annuities and Reversionary Payments (1843); Augustus de Morgan, On a Property of M. Gompertz's Law of Mortality (1859); August Zillmer, Contributions to the theory of Premium Reserves for Life Insurance Companies (1863); Karl Hattendorf, The Risk with Life Assurance (1869); Wesley Stoker Barker Woolhouse, On an Improved Theory of Annuities and Assurances (1869); Jorgen Pederson Gram, Standard Deviation in the Value of Life Assurances (1889); George King et al., The Universal Notation (1898); George James Lidstone, Changes in Pure Premium Policy-Value (1905); Jorgen Pederson Gram, Professor Thiele as Actuary (1910)
Volume 5
Laurens Tonti, Edict of the King for the Creation of the Society of the Royal Tontine (1654); Thomas Wagstaffe, Proposals for Subscriptions of Money (1674); John Hartley, A Letter for a Perpetual Assurance (1706); The Friendly Society, Land Security for establishing a Perpetual Insurance on Lives (1715); James Dodson, First Lectures on Insurance (1756); Edward Rowe Mores, A short Account of the Society for Equitable Assurance on Lives and Survivorships (1762); William Morgan, Surplus Stock of the Equitable Society (1776); William Morgan, The Doctrine of Annuities and Assurances on Lives (1779); Pennsylvania Company, An Address from the President and Directors (1814); Arthur Morgan, First Report of the Select Committee on the Joint Stock Companies (1844); Thomas Bond Sprague, On certain Methods of dividing the Surplus among the Assured in a Life Assurance Company (1858); Sheppard Homans, On the Equitable Distribution of Surplus (1863); James Meikle, An Analysis of the Profits of Life Assurance (1865); Thomas Bond Sprague, A Treatise on Life Assurance Accounts (1874); George Humphreys, On the Practice of the Eagle Company (1864); Charles Ronald Vauldrey Coutts, Bonus Reserve Valuation (1907); Oscar H. Rogers and Arthur Hunter, Numerical Ratings (1919)
Volume 6
Alexander Webster, Calculations with the Principles and Data on which they are instituted (1748); Trustees of the Fund, An Account of the rise and Nature of the Fund (1759); Francis Maseres, A Proposal for Establishing Life-Annuities in Parishes (1772); Anonymous, Observations on the Superannuation Fund (1822); Henry William Manly, On the Valuation of Staff Pension Funds (1902); James John M'Lauchlan, The Fundamental Principles of Pension Funds (1909)
Volume 7
John Castaing, The Course of the Exchange and Other Things (1698); Stephen Daubuz, Broker's List of Stock Prices (1731); Arthur Hutcheson Bailey, On the Principles on which the Funds of Life Assurance Societies should be Invested (1863); Louis Bachelier, Theory of Speculation (1900); D P Moll, On the Effect of a Rise, or Fall, in Market Values of Securities on the Financial Position and Reserves of a Life Office (1909); Corbyn Morris, An Essay towards illustrating the Science of Insurance (1747); Carl B Bremiker, On the Risk attaching to the Grant of Life Assurances (1859); Filip Lundberg, On the Theory of Reinsurance (1909); Albert H Mowbray, How Extensive a Payroll Exposure is necessary to give a dependable Pure Premium (1914); Albert W. Whitney, The Theory of Experience Rating (1917)
Volume 8
Daniel Bernoulli, A new Analysis of the Mortality caused by Smallpox (1760); John Heinrich Lambert, The Mortality of Smallpox in Children (1772); Emmanuel Etienne Duvillard, Analysis and Tables of the Influence of Smallpox on Mortality (1806); Antoine-Augustin Cournot, Exposition of the Theory of Chance and Probability (1843); William Matthew Makeham, On the Law of Mortality (1867); Johannes Karup, Financial Situation of the Gotha Public Servants' and Widows' Society (1893); Thomas Bond Sprague, On the Construction of a Combined Marriage and Mortality Table (1879); L. Gustav Du Pasquier, The Mathematical Theory of Disability Insurance (1912 and 1913)
Volume 9
Richard Price, Observations on Reversionary Payments (1792); Highland Society of Scotland, Report on Friendly or Benefit Societies (1824); Bradfield Union Benefit Society, Rules and Tables of Assurance (1836); Gustav Nicholas Hubbard, On the Organisation of Provident Societies (1852); August Wiegand, The Mathematical Basis of Railway Pension Funds (1859); Alfred William Watson, Sickness and Mortality Experience of the Independent Order of Oddfellows Manchester Unity Friendly Society (1903)
Volume 10
Charles Brand, Tables of Interest, Discount, Annuities &c.(1780); William Morgan, Appendix to A View of the Rise and Progress of the Equitable Society (1828); Wesley Stoker Barker Woolhouse, Investigation of Mortality in the Indian Army (1839); A Committee of Actuaries, Tables exhibiting the Law of Mortality (1843); Charles Gill, Actuary's Report on the Board of Trustees of Mutual Life Insurance Company of New York (1851); Theodor Wittstein, The Mortality in Companies with successive entering and exiting Members (1862); William Palin Elderton, On a form of Spurious Selection (1906); William Palin Elderton and Richard Clift Fippard, Notes on the Construction of Mortality Tables (1912); Paul Eugen Boehmer, Theory of independent Probabilities (1912); Wesley Stoker Barker Woolhouse, On Interpolation Summation and the Adjustment of Numerical Tables (1865); Seth C. Chandler Jnr, On the Construction of A Graduated Table of Mortality (1873); Erastus L. De Forest, On some Methods of Interpolation (1873); Thomas Bond Sprague, Explanation of a New Formula for Interpolation (1881)
‘the editors are to be commended for the high quality of their selections and for producing such an exciting final product … The ten volume set deserves to be on the bookshelves of our libraries in our colleges and universities, as well as in individual firms.’
– Curtis E Huntingdon, American Academy of Actuaries
‘This reference work is of immense value to our profession in this and other parts of the actuarial world. It is desirable that it be within convenient reach of as many actuaries, educators and students as can be arranged.’
– E J Moorhead, North American Actuarial Journal