The Doctrine of Life-Annuities and Assurances, Analytically Investigated and Explained

The Doctrine of Life-Annuities and Assurances, Analytically Investigated and Explained

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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. 1810 edition. Excerpt: ...of the Tables which show the value of Life Annuities) they oftentimes produce a real expression wh-n solved arithmetically. Thus_L(l+NC)--A5-(which ex OT C pressed by the characters, made use of in this work, becomes c l + AC _o-_1) ig- frera wkat 'ias been s-id in 'he note 'in pag- (!+-) - 'c' 186, equal to 0: but if reduotfl to numbers (taking the age of A 15 years, the age of C 18 years, the rate of interest 4 'per cent, and the probabilities of living ns at Northampton) it will become equal to 13-332--13'348=-OH. This fact will sufficiently show how necessary it is to discard all superflttom quantities: and that Mr. Morgan's formulae are, at best, but approximation'll!!to taay be useful to remark that the present value fouud by this problem is equal to-the sum of the two values found by Prob. XXIX and XLII; which confirms the accuracy of th- investigation.: ( f 312V Case 3. Let C be the oldest of the three lives. In this case, the first n terms of the several collateral series above mentioned will be equal to-g(l--s)-n. But, after the decease ef C the chance of receiving the given sum at the end of my subsequent year will depend on the happening of either of two events: 1Q that A dies after B in the year: 2 that only A dies in the year, B having died after C in either of the preceding years. The sum of the expectations on the happening of these events has been already found, by the third case in Prob. XLII, to be equal to ab--: which, being added '2ai to the sum of the first n terms of the several collateral series above mentioned, will make the total present value required equal to COROLLARY., ' Whea the three lives are equal, or all of the same age A, the last three quantities in the formula denoted by.show more

Product details

  • Paperback | 118 pages
  • 189 x 246 x 6mm | 227g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236516788
  • 9781236516787