The Doctrine of Compound Interest: Illustrated and Applied to Perpetual Annuities, to Those for Terms of Years Certain, to Life-annuities, and Generally to Prospective Transactions, with New and Compendious Tables ...
subscribers, 1825 - 193 pages
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34 per cent accomplished according accruing half-yearly accumulation and improvement admitting amongst annual interest annual rate Annuity for Ratio annum application ascertained average of forthcoming centum column compound interest consequence consideration considered corresponding Cumulation Annuity debt deduced depending difference Discounted Annuity discounted value equal equations equivalent exhibit expectation expiration future capital half-yearly instalments half-years Improved Cumulated Value Improved principal improvement at compound income inquired invested joint lives Law of Mortality multiplied observations payable period Perpetual Ann perpetual annuity preceding present capital present value produce proportion purchase quarterly instalments question rate of annual Ratio of Discounted RATIO of INTEREST Ratio of Perpetual Ratio of Principal Redemption-fund reference relative respective similar single payment specific subtracted survivorship susceptible Table of Decrements term terminable annuity tion transactions unity value of annuities value of Life-annuities Value of Perpetual Value of Principal whence whole
Page 126 - Simpson, for finding the values of any three from the values given of any two joint lives. " Let A be the youngest, and C the oldest " of the three proposed lives. Take the " value of the two joint lives B and C, and " find the age of a single life D of the same " value. Then find the value of the joint " lives A and D, which will be the
Page 118 - This remainder multiplied by 23.574 (the value * When twice the expectation of the youngest life is greater than twice the expectation of the oldest life increased by unity and twice the perpetuity, the reserved quotient, instead of being subtracted from twice the perpetuity, must be added to it, and the sum, not the difference, multiplied by the perpetuity increased by unity.
Page 121 - A less the value of an Annuity on the longest of the two lives, B and C, combined with it.
Page 122 - Let a represent the number of persons living in the Table at the age of A, the younger of the two lives, a', a", a", &c. the decrements of life at the end of the 1st, 2d, 3d, &c. years from the age of A; b the number of persons living at the age of B, the older of the two lives, and c, d, e,f, &c. the number of persons living at the end of the 1st, 2d, 3d, &c. years from the age of B. Then will the value of S (the given sum), depending on the...
Page 116 - Let this value added to unity be divided by £ 1 in" creased by its interest for a Year. From the quotient " subtract the value of the life for the given term, and 41 the remainder being multiplied into the given sum will *
Page 122 - For if the probability of survivorship between any two persons be found, the probability between two persons one year younger is obtained with little difficulty ; and by proceeding in this manner a whole table may be speedily constructed.
Page 130 - England such as to afford local information equally authentic and extensive on the same subject, very little difference would be found to exist between the two progressions, expressive of the Decrements of human life for the one country and lor the otfyer.