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addends addition adjusted adopted Age of elder already Annual Premiums applied arrangement assurance bcov bcova boovac calculation Co-logarithms of Dx Colog columns combinations commence Commutation Table Company complete constant construction continuous correct corresponding cova curves death deduced deferred denoted differences Dying Elementary employed endowment equal error example Experience explain expression figures final five formation formed formula function given gives Healthy Hence HM 3 PER-CENT increase initial terms inserted Joint Life Annuity Joint Lives Last Survivor Annuity lines Logarithms and Co-logarithms means ment method mortality negative numbers numbers-living observed obtained occupy operation original pass payable places portion positions preceding present Prob probability reference respectively rows Side Single and Annual specimen subtraction successive sufficient taking temporary Unit Values of Annuities vary verification бо
Página ix - Mortality Experience of Life Assurance Companies. Collected by the Institute of Actuaries. 282 pp., demy 8vo. , cloth, 30^. II. Tables deduced from the Mortality Experience of Life Assurance Companies...
Página liii - ... and agrees both with the above result and with Mr. Milne. But Mr. Milne, instead of -01672251, has (p. 361) •015714, differing materially from the truth. The reason is, as those who are used to the common method are well aware, that the old tables of annuities, calculated to three decimal places, are not sufficiently exact for survivorship questions, the results of...
Página xvi - W table contains more asperities than the orig. HM ; and this again arises no doubt from the comparative smallness of the number of lives entered in the obs. on which it is founded. And it is to be borne in mind that the deviations (which legitimately arise in the process of graduation) are in the direction of softening down the asperities by which, like olher results in orig.
Página ix - The new tables, on the other hand, commence with a radix of 100,000 at age 10, the numbers observed upon, between ages o and 10, being considered too small to afford trustworthy results; and therefore the numbers-living, in corresponding tables, do not admit of being directly compared.
Página iv - The particular period adopted as most suitable generally for exclusion was deter mined by the marked difference, in the classified original data, between the first five years of assurance and the subsequent periods. It was then decided, after a careful consideration of the whole subject, that Commutation...
Página xvii - And accordingly we find, on referring to the Average Durations, pp. 6 and 114, that those on the latter page, derived from the table H*(s), are throughout less than those on the former, derived from the table H*.
Página ix - H*, when modified by the exclusion from them of the experience of the first five years .of assurance.
Página iii - Observations should be graduated in such a manner as to preserve, to the utmost possible degree consistent with their practical use, all the original features of the Observations.
Página xvi - ... on which it is founded. And it is to be borne in mind that the deviations (which legitimately arise in the process of graduation) are in the direction of softening down the asperities by which, like other results of original observations, the present table is characterized.