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.

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    The present value of the Daughters’ Contingent Pension will hence be At birth = ^x,d) IbO + (fi—|d+2 d)+2.) 90 + (fl—7 j(.r, cO + 7) 70 -+- (^ |<a5+11 |(®,d)+ii) At age 2 = (^dd ax,d) '^70 + (01^+5 ^—j(x,d) + o) 70 + (®~]<2-j-9 |(j, <i)+9) ^30 At age 7 = («d — «*>d) 340 + (fl-|d+1 — «-](*,<2)4.5) 280 and At age 11= (ad ■— aItd) 620 If from these there be deducted (a-|d+n — «-,(*, <*)+») 620 in which n will vary so as to make the deferred period always at twenty-one years of age, the results will be the values of unextended pensions to daughters. The calculations of the above values will be found carried out for the immediate reversionary annuities on daughters’ lives in Table LXXIIL, for immediate annuities on the joint existence of the father and the daughter while she is unmarried in Table LXXXV., and for the deferred annuities on the daughters’ lives, as well as on the two joint lives in Table LXXV. The combined results representing the aggregate present contingent pension will be found in Table LXXVI. I The deferred reversionary annuities found in Table LXXV. under the expression 4 N _d+n (*’^±1' might obviously have been derived from ^x,d ( ')-( ) In the first member of which the terms Drf+n cancel each other, and in the second member the terms D(.1;(p+„, and hence producing the expression actually used.