ON ANNUITIES. 181 



proportionate mortality. On the other hand, and from 

 contrary causes, a diminution of the rate of population 

 may be attended by an increase of the mortality. 



'As this work does not profess to enter further into 

 statistics than is necessary to exemplify the principles 

 of the theory of probabilities, I shall here close what I 

 have to say on the rate of mortality, considered inde- 

 pendently of the most important pecuniary applications. 

 The next chapter will point out in what way money 

 calculations are made. 



CHAPTER IX. 



ON ANNUITIES AND OTHER MONEY CONTINGENCIES. 



IF money could make no interest, the principles of 

 this chapter would be simplified, and the details 

 of calculation connected with it would be somewhat 

 reduced in amount. It will first be requisite to point 

 out the effect of compound interest, and to show how 

 to make computations connected with it. The funda- 

 mental calculation may be saved, for all such purposes 

 as this work is intended to answer, by the following 

 table, which may be described as follows. Opposite 

 to any year in the column headed Y, and under the 

 rate of interest in question (which is in numerals 

 at the head), will be found, within ten shillings, the 

 number of pounds which wil! 3 in such number of years, 

 at such rate of interest, produce a thousand pounds. 

 v Thus, opposite to 23 years, in the column headed 3, we 

 see 507 ; that is, 507^ (or, more strictly, something 

 between 5l6l. 10s. Od. and 517/. 10s. Od.,) will, when 

 improved at 3 per cent, for 23 years, produce 1000/. 

 N 3 



