of Chances, or Nn ν to the Product Ry υ; so is the certain present Value of the Sum payable after any Term proposed, to the Value due to such Chances as the younger Person has to bury both the elder, by the Term proposed; which therefore he is to pay for. Here it is to be noted, that the first Term of all these Proportions is the same throughout, viz. Nn ν. The second changing yearly according to the Decrease of R , r , ρ, and Increase of Y , y , υ. And the third are successively the present Values of Money payable after one, two, three, &c. years, according to the Rate of Interest agreed on. These Numbers, which are in all Cases of Annuities of necessary Use, I have put into the following Table, they being Decimal Values of one Pound payable after the Number of Years in the Margent, at the Rate of 6 per Cent.
| Years. | Pres. Value of 1 l. | Years. | Pres. Value of 1 l. | Years. | Pres. Value of 1 l. |
|---|---|---|---|---|---|
| 1 | 0,9434 | 19 | 0,3305 | 37 | 0,1158 |
| 2 | 0,8900 | 20 | 0,3118 | 38 | 0,1092 |
| 3 | 0,8396 | 21 | 0,2941 | 39 | 0,1031 |
| 4 | 0,7921 | 22 | 0,2775 | 40 | 0,0972 |
| 5 | 0,7473 | 23 | 0,2618 | 45 | 0,0726 |
| 6 | 0,7050 | 24 | 0,2470 | 50 | 0,0543 |
| 7 | 0,6650 | 25 | 0,2330 | 55 | 0,0406 |
| 8 | 0,6274 | 26 | 0,2198 | 60 | 0,0303 |
| 9 | 0,5919 | 27 | 0,2074 | 65 | 0,0227 |
| 10 | 0,5584 | 28 | 0,1956 | 70 | 0,0169 |