Reports on the Madras Medical Fund / by Francis G.P. Neison.

Date:
1856
Catalogue details

Licence: Public Domain Mark

Credit: Reports on the Madras Medical Fund / by Francis G.P. Neison. Source: Wellcome Collection.

Provider: This material has been provided by the Royal College of Physicians of Edinburgh. The original may be consulted at the Royal College of Physicians of Edinburgh.

    176/304 (page 162)
    Ps = Present value of the pensions to fatherless children (Sons), as given in Table XXXVI. (or as given in Table XXXIX. in the case of Daughters), then as in page 55 -will = -f- X. v i (*+*)—i \JSl = x.K — X.D ] J X,S X, s x,s Tables XLIX. to LVI. have been constructed according to this formula, s n(,+s) + i = Kx,s> and therefore Log. of the present value of the Sons’ Contingent Pension, and on referring to Tables LVII. and LXIV. inclusive, the present values of Sons’ Contingent Pensions 'will be found, whether extended or otherwise, and for all ages of Sons from 0 — 21, and for eight Disparities of ages for Fathers of the children, being for each quinquennium from age 25 to age 60. (143.) The contingent pensions payable to the daughters of the present Members involve the element of marriage, and they do not cease absolutely on attaining the ages of eighteen or twenty-one as in the case of sons, but in the majority of instances continue till death or marriage. The most convenient way by which to deduce their values will be from Table XX. and Tables LXV. to LXXII. inclusive, for example, (144.) The daughters’ pension, as already pointed out, consists of (1) (2) (3) (4) Us. 180 while under two years of age An inorease of 90 above two and ... seven do. 70 ... seven ... eleven do. 280 ... eleven years of age, and to continue until death or marriage in cases of extended pensions, but to cease at age twenty-one in cases of unex- tended pensions. (145.) The first item of the pension is simply an ordinary reversionary annuity payable in the event of the daughter outliving, and remaining unmarried, her father, and is at once deduced from the expression N„ N D„ D ^ d ^x, d (146.) In like manner do the other items of the pension resolve themselves into deferred reversionary annuities, subject to the same contingencies, and may be found as follows :— + ^(x, d)+n D d D x, d a~\d+h a-il(x,d) + n In which n represents the number of years to elapse absolutely before the annuity can take effect, and which in the case of a child just born, would in order to complete the full value of fan extended