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 ...
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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.
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Seller's Description:
None. Very Good. A scarce and early edition of Francis Baily's extended Doctrine of Life-Annuities with two interesting provenances, Henry Bickersteth and the Equitable Life Assurance Society. Recently rebacked, with the bookplate of Henry Bickersteth, Baron Langdale, to the front pastedowns. Complete in Two Volumes. Title continued-Together with Several Useful Tables connected with the Subject; to which is now added an Appendix, containing a New Method of Calculating and Arranging such Tables. With a separate title page for the Appendix in Volume II. With a handwritten letter from the Equitable Life Assurance Society, 1918, stating 'This book...given to the society by Miss I. E. Dell. They belonged to her father who was for many years a Clerk in the office". Henry Bickersteth, Baron Langdale, 1783-1851, was a British law reformer, and master of the rolls. With a Riley Dunn & Wilson, Conservators & Bookbinders, label to each rear pastedowns. Francis Baily, 1774-1844, was an English stockbroker and astronomer. "His work on life annuities and insurances attempted systematically to algebraize the subject and represent various cases of annuities and assurances by symbols. He was also one of the first not to rely on Price's Northampton mortality tables...In 1808 he published his highly successful and authoritative Doctrine of Interest and Annuities Analytically Investigated and Explained. This was followed in 1810 by his sequel, Doctrine of Life-Annuities and Assurances Analytically Investigated and Practically Explained. The latter also contained a critical guide to the several life-assurance companies in London, which later that year was published separately as a very popular pamphlet" DNB. In a full calf binding. Recently rebacked, with contemporary boards. With new endpapers. Externally, some rubbing to the boards. Internally, firmly bound, bright, with the occasional spot or mark, with foxing to the first and last pages as usual. Page 11/12 of the appendix has been close-cropped to the edge of the text, with just minor loss to several letters. Very Good.
