618 



PEOOBEDINGS OF SJlCTlON G. 



by the Registrar-General of New Zealand, 1910; concerning 4 from 

 the report mentioned previously of the actuarial sub-committee ; and 

 concerning 5 from the report by the Commonwealth Statistician 

 mentioned previously. As the facts have been presented clearly 

 in those publications there is no need to repeat them here. 



In the first three cases the experience relates to deceased 

 persons, and in the remaining cases to persons who were living, 

 the assumption having been made that the number of children 

 " left at death " by the latter would be proportionately the same. 



The statistics available were arranged in the manner described 

 in the report of the actuarial sub-committee on the New South 

 Wales proposed scheme of superannuation; that is to say, all 

 males (married and unmarried) of each age from 21 to 70 inclusive 

 were related to the children at each age from to 15 inclusive. 

 The total numbers so treated were 4,244 males and 3,525 children 

 in New Soutli Wales in 1903 ; 4,641 males and 3,333 children in 

 New South Wales in 1911; 12,113 males and 8,668 children in New 

 Zealand; 12,086 males and 15,971 children in New South Wales 

 Public Service; 4,382 males and 5,575 children in the Common- 

 wealth Public Service, Division A.P.C. ; and 4,976 males and 

 4,989 children in the Commonwealth Public Service, Division G. 



In following out the process of computation of the annuities, 

 it was assumed that at the death of the parent the annuity would 

 be paid for each child until it attained the age of 16; therefore, 

 the children to be dealt with were those from ages to 15 in- 

 clusive, and it was first necessary to prepare a table of temporary 

 annuities of 1 to age 16 for all ages to 15. For this purpose the 

 mortality tables known as Moors' and Day's Australian Experience 

 were used, the rate of interest selected being 3^ per cent., and the 

 continuous method being adopted. To obtain the annuity values 



-, but as no 



the commutation formula was used: — ^''^ . -zfz^ ~^S5r 

 commutation columns are given in Messrs. Moors and Day's Ex- 

 perience, I was obliged to construct them. The present values of 

 the temporary annuities thus computed are ais follows : — 



