212 



ESSAY ON PROBABILITIES. 



The following is from the Carlisle table, at 5 per 

 cent : 



I shall proceed in the next chapter to consider the 

 methods of finding the value of reversionary interests, 

 including life insurances. 



CHAPTER X. 



ON THE VALUE OF REVERSIONS AND INSURANCES. 



THE distinction between the problems of this chapter 

 and the last, lies more in names and in the circumstances 

 under which they occur for solution, than in difference 

 of methods, principles, or (according to the scheme 

 which I have suggested), even of notation. Every 

 interest, the symbol of which has any thing preceding 

 the |, is properly a reversion, being something of which 

 the benefit is not to begin until the happening of some 

 event, or the determination of some existing status. 



It may be proper here again to remark, that all the 

 rules in the preceding chapter, though the status men- 

 tioned are technically called lives, are equally true for 

 any species of circumstances, temporary or permanent, 

 certain or contingent. Thus an annuity for t years, to 



