Full text: On the value of annuities and reversionary payments, with numerous tables (Volume 2)

ON THE DIVISION OF PROFITS. 1093 
Mdenee annual premium thus charged to be the true value of the risk, it follows 
les that with lives of that age the office would have an accumulation of 
2thaken funds during 19 years, after paying the claims on account of deaths in 
) fru each of those years; no portion of which accumulation is to be con- 
h sidered as profit, but a fund out of which the deficiencies of the future 
Iw annual premiums shall be supplied in the discharge of claims. 
mean Suppose, while the above premium is the correct one, that an office 
from false data should make a reduction thereon of 20 per cent, it 
Id out by would in that case be able to pay all the claims on it for nearly 17 years 
Xi cole without the aid of fresh assurances, after which period there would be 
ake be a deficiency ; but with the constant addition of assurers it would be 
r cltole able to pay the claims made on it for many years afterwards. 
r adopted. This illustration we hope will show the difficulty to the public of 
1 leh judging of the solvency of an office; and to the admirers of very low 
oh mt rates we will state for their consideration, that offices whose rates are 
not amongst the lowest, when the period arrived for dividing the profits, 
>. have been obliged to inform the assurers that so many claims had heen 
made on them that they had no surplus to divide. 
| ON THE DIVISION OF PROFITS. 
: To enable a company to determine what profit they have realized, a 
| valuation of all their liabilities should be made, and of the premiums to 
be received thereon : the difference between the two is the amount to 
| be reserved, and whatever they have above this amount may be con- 
sidered as surplus capital, which may be apportioned as profit. 
It is the common practice of offices to value the liabilities by the 
same table of mortality and rate of interest as the premiums were de- 
duced from; but since many whose opinions have great influence 
- recommend that a rate of mortality should be employed which may be 
fF assumed as representing that which will actually take place amongst 
i the members of the office, we shall attempt to point out some objections 
er fe to which such system is liable. 
a progres When the same rate of interest and table of mortality are employed 
a as the premiums were calculated from, the present value of the sum 
assured at the time of issuing the policy is the same as the present value 
ioe Jc of the future premiums to be received; and as the number of years 
iy ee increase from the original date of the policy, the present value of the 
on fst sum assured will increase, and that of the future premiums will decrease. 
rod of i In no case, therefore, will this mode of valuing cause the present value of 
rs afer i the future premiums to appear to be greater than that of the sum assured 3 
rged bY 0 and when the accumulation of premiums in hand is greater than the 
pt ole amount which according to the valuation ought to be reserved, the 
eat 171% surplus denotes so much profit realized by the company, and as such 
4 may be appropriated by them, the sum remaining in hand being that 
for which an office charging similar rates would relieve them of their 
liabilities,
	        
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