( n9 ) 
come, the fame being made on the Expedation of a conftant 
regular Income of the Profits, without any extraordinary In- 
terruption, an Intereft ought to be allow'd to both, efpecially 
in prefent Values, which are found by lotting the Amounts 
of both againft each other: fo that in thefe Cafes, putting x = 
n—i, if \xr -f- f * a n % be made the Amount of a Rent or An- 
nuity ; then ~xr^-ixpryi-\-p, will be the proper Amount 
of a Sura of Money, and not prn-^rp: and confequently 
■ — T - - • - - - 1 — —p will be the prefent Value of a Rent or 
xr-^i xrn-\- i 
Annuity, the fubfequent Intereft being remitted on both Tides 
in lieu of the Lofs of Time and Charge of Management ; 
which fuch as are apt to depreciate long Futurities, may think 
the propereft Method of approaching the true Value; but I 
rather look upon the former Method of Compound Intereft 
correded as more exad, as well as more general, the Intereft 
remitted in this, being in Ihort Terms lefs, and in long Terms 
more than an Equivalent for the Trouble, Charge and Delay 
in the Management. But it is however the moft exad of any 
of the Methods, that have yet been deduc’d from Simple-In- 
tereft. The reduc’d Rate may alfo in fome Cafes be properly 
madeufeof for Amounts, but not for prefe nt Values, except 
for fliort Terms 3 and then, fince r : a w - *"C “T i x t # : 
______ t r 
L x t 4- i * A » — , ’twill be i x 1 4- 1 — *E+i 
1 r 1 r 
x + an ^ 
- x E-f r y a n 
i x E + i * E n + i 
r 
Exam* 
