The Principles and Doctrine of Assurances: Annuities on Lives, and Contingent Reversions, Stated and Explained

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Longman, Hurst, Rees, Orme, and Brown, 1821 - Insurance, Life - 326 pages
 

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Page 304 - What is the interest of $ 81, for 2 years 14 days, at ^ per cent. ? • per cent. ? per cent. ? 2 per cent. ? 3 per cent. ? 4 per cent. ? 5 per cent. ? 6 per cent. ? 7 per cent. ? 7 per cent. ? 8 per cent.?
Page 301 - To find the present value of a given amount to be received at the end. of any number of years not exceeding...
Page i - PRINCIPLES AND DOCTRINE OF ASSURANCES, ANNUITIES on LIVES, and CONTINGENT REVERSIONS, stated and explained. By W. MORGAN, FRS Actuary to the Society for Equitable Assurances on Lives, &c.
Page 51 - 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 xii - every assurance made for the purpose of providing for a surviving family, in whatever office it is effected, not only as a private but as a public good.
Page 77 - the value of an annuity on the longest of two equal ' lives, whereof the common age is that of the older of ' the lives A and B; which value subtract from the ' perpetuity, and take half the remainder; then it will ' be, as the expectation of duration of the younger of ' the lives A and B, is to that of the older, so is the ' said half remainder to the number of years purchase ' required, when, the life of B is the older of the two.
Page vii - ... lives of those improvident persons, who, in the " disposal of their property, seemed to have as " little consideration for their families as for them" selves; and as the price of an annuity on a life, " however young, very rarely exceeded seven years " purchase, the Assurances were seldom made for " a longer term, so that a very small proportion was " made on the whole continuance of life, or with any " other view than to secure a purchaser from the
Page 131 - Jirsi or last that shall fail of the three lives A, B, and C. SOLUTION. If B be the oldest of the three lives, the value of the given sum will be S into r ~ XV-, ABC- r ~ . AF - AFC . AF- AFC . I— " m APT _: A + AP + X r- iV- A;.
Page 77 - ... lives, which value subtract from the perpetuity, and take half the remainder ; then say, as the expectation of duration of the younger of the two lives is to that of the older, so is the said half remainder to a fourth proportional ; which will be the number of years purchase required when the life of B in expectation is the older of the two ; but if B be the younger, then add the value so found to that of the joint lives A and B, and let the sum be subtracted from the perpetuity, which gives...
Page 81 - B ; which value fubtraft from the ?' perpetuity, and t-ake half the remainder ; then it will " be, as the expectation of duration of the younger of " the lives A and B, is to that of...

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