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. 1866 Excerpt: ...annuity payable half-yearly or quarterly; the nominal ratef of interest being the same in each case. That is, the half-yearly and quarterly instalment, and the half-yearly and quarterly interest being respectively one half or one quarter of the given nominal payment. + M. De Moivre has given a different solution to the ...
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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. 1866 Excerpt: ...annuity payable half-yearly or quarterly; the nominal ratef of interest being the same in each case. That is, the half-yearly and quarterly instalment, and the half-yearly and quarterly interest being respectively one half or one quarter of the given nominal payment. + M. De Moivre has given a different solution to the above case (Doctrine of Chances, p. 321), which arises from his calculation being founded on the supposition of a given annual rate of interest; and, under such circumstances, we should have the value of n=-=----- --1, where R denotes n(l + p) f-1; f expressing the number of pay A(l+p) ments of the annuity in the year. But I think, that in questions of this kind we should make the payments of interest and the payments of the annuity correspond with each other; agreeably to the principles already laid down in 114 and 115. I may here remark, however, that M. D.Alembert is of a contrary opinion, and agrees with M. De Moivre in the method of solving questions of this kind. See his Opusc. Mathem., vol. viii. p. 46. 138. If a loan is borrowed for the service of Government, at a given rate of interest in a 3, 4, or 5 per cent stock; and a sinking fund, equal to f per cent on the capital stock created by such loan, is established for the purpose of redeeming the same; the time in which such loan will be redeemed in this way is expressed by the equation n = P is equal to 3, 4, 5, &c, according as the fund, in which the loan is raised, is a 3, 4, or 5 per cent stock. 139. This method of putting all future loans in a course of redemption was adopted in the year 1792 (32 George 1u..c 55, 3); when it was ordained that a fund should be raised of one per cent ( =1) on the stock created by all future loans, for...
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Add this copy of Doctrine of Interest and Annuities...With...Tables, Enl to cart. $56.22, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2011 by Nabu Press.
