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Journal of the Institute of Actuaries, Volume 15 - July 1870

Contents

Page 2 of 3

Notices of New Books

Other

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Research Article

  • On the Value of Reversionary Life Interests

  • Griffith Davies, Esq.
  • Published online by Cambridge University Press:
    18 August 2016, pp. 138-141

  • To find the present value of a Survivorship Annuity of £1 on the life of A to be entered on at the death of B, supposing the purchaser to effect an increasing insurance on A's life so that the sum insured may correspond with the amount of his outlay (of purchase money, premiums, and interest) at the end of each year up to the average duration of the joint lives of A and B, and to be at the end of that period of the exact amount which the annuity purchased would cover the annual interest thereon, beside providing for the premiums to keep it insured during the remainder of A's life.

Other

Correspondence

  • ‘On the Objections to the Net-premium method of Valuation’

  • W. M. Makeham
  • Published online by Cambridge University Press:
    18 August 2016, pp. 449-452
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Research Article

  • On a Method of obtaining De Moivre's formula in the simplest terms

  • M. Charlon
  • Published online by Cambridge University Press:
    18 August 2016, pp. 141-143

  • When we consider in a table of mortality the consecutive terms which express the number living at each age, we remark that the differences between those numbers are almost constant in the middle ages of life; they change afterwards, remaining however uniform for another series of terms; so that the table can be considered as a series of decreasing arithmetical progressions. Let c be the difference between lx and lx+1; and let us suppose this difference constant for n years. We shall then have for the value of the life annuity during that time.

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Correspondence

  • On Considering the ‘Paid-up’ Policy as the Equivalent of the Ratio the Premiums Bear to the Total Number Payable

  • James R. Macfadyen
  • Published online by Cambridge University Press:
    18 August 2016, pp. 297-306
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Research Article

  • On Assurances against the Risk of ‘Invalidity’ or Permanent Inability to Work

  • Wilhelm Lazarus
  • Published online by Cambridge University Press:
    18 August 2016, pp. 143-145

  • Life Assurance provides for the family of the deceased in case of premature death; deferred Annuities provide for old age; but both institutions leave uncovered the risk of premature inability to work. Invalidity Assurance, including the benefits of a deferred Annuity, would be the real complement to Life Assurance. This truth is so deeply felt in Germany, that a good many institutions, employing a large number of officers, workmen, and labourers; many mills, and particularly the Railway Companies, long since directed their attention to the providing for their officers in case of their being invalided. How were they to calculate the annual contribution, how to make the valuation of their liabilities?

Notices of New Books

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Correspondence

  • On Herr Wilhelm Lazarus's Paper “On Some Problems in the Theory of Probabilities”

  • William Sutton
  • Published online by Cambridge University Press:
    18 August 2016, pp. 452-455
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  • Improved Theory of Annuities and Assurances

  • William Sutton
  • Published online by Cambridge University Press:
    18 August 2016, pp. 307-311
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Institute of Actuaries

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