The principles of the doctrine of life anuities Volume 1

9781130803983: The principles of the doctrine of life anuities Volume 1
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1783 Excerpt: ...and conjeau-ioi2, 1001, 990, 979, &c. formed upon Mr. De Moivre's Hypothesis, ral probabili-than in Monsieur de Parcieux's series of numbers 1012, 970, 948, 930, ration of hu' CC 3nC tat at aC 2+ l iTC nearV tne ame m koth man life. "serieses of numbers, being 781 and 7821 and that, from the age of 24 years to the age of 74 years, the numbers in Mr. De Moivre's series are less than those in Monsieur de Parcieux's j and that at the age of 74 years they are equal in both scrieses, being 231 in both serieses; and that then, after the age of 74 years, Mr. De Moivre's numbers become a second time greater than Monsieur de Parcieux's, and continue so to' the end of the table. so ChClfon CLVI. It follows from the foregoing observation that, if the value of going Cobscr-an annuicy fr a hfe f 74 years were to be computed according to both vation con these serieses of numbers, the value of it derived from Mr. De Moivre's ceming the numbers would be greater than the value of it derived from Monsieur de annuit for" Parcieux'S numbers. For the number P, or the number of persons living Tifeof'theee at tne gvcn age would be the fame in both cafes, to wit, 231; and the of74yearS: numbers P', P", P" ", P»v, pv, pvi5 pVu, &c. would be greater in the calculation grounded on Mr. De Moivre's series than in that which L was built on Monsieur de Parcieux's series: and consequently-x the series P«, P"-P'", P'v. P, Pv», Pv", „ r r1 rs r r5 r6 r7 (which, by Art. 87, is equal to the value of the annuity for the given life,) would be greater in the former cafe than in the latter. Conclusions CLVII. But, if we were to compute the value of an annuity for 50 from the fame years, and no longer, dependent upon a life of th...

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