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The Doctrine of Annuities and Assurances: On Lives and Survivorships, Stated ...
Richard Price,William Morgan
No preview available - 2015
Doctrine of Annuities and Assurances: On Lives and Survivorships, Stated and ...
No preview available - 2015
alſo annual payments Annuity anſwer ariſing Aſſurances caſe Caſe 2d claim is determined conſequently decreaſe demonſtration diminiſhed diſcounted divided E X A M P L eſtate exiſt expreſſed find the value fingle firſt found by Problem found equal fraćtion given ſum payable given term houſes charged increaſed by unity inſtead intereſt juſt laſt leſs Let the age lives aged longeſt of three ments Moivre's hypotheſis moſt multiplied muſt neceſſary Northampton Table nuity oldeſt P R O B L E M perſons preſent payment preſent value probability Problem 4th produćt propoſed purchaſe required queſtions quotient reaſoning remainder reſerved reſpectively Reverſion rule ſaid ſame manner ſame value ſecond ſeveral ſhall ſhould ſingle Society ſolution ſome ſquare ſtate ſubtracted from 25 ſuch ſuppoſing ſurviving Survivorſhips Table 3d Table 6th Table of Obſervations Theorem theſe thoſe three equal lives three joint lives three lives uſed value in annual youngeſt
Page iii - Also an essay on the present state of population in England and Wales.
Page vi - ... The particular degree of merit to be ascribed to this work has been the subject of some controversy. It appears to have been pub. very much at the instance of Dr. Price, who wrote the introduction, wherein he says : The second chap, contains an explanation of the doctrine of life annu. in genera], and of the principles on which their values are calculated.
Page xxiv - It denotes that the quantities between which it is placed, are to be multiplied together.
Page 100 - 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 305 - The increafe of our army and navy j and the conflant fupply of men neceflary to keep them up. A devouring capital, too large for the body that fupports it.
Page 207 - A. diminished by the value of an annuity on the joint lives of A.
Page 95 - SOLUTION. Find the value of a life as many years older than the given life as are equal to the term for which the annuity is proposed ; multiply...
Page 129 - Subtract the value of the life or lives from the perpetuity, and reserve the remainder; then say, as the perpetuity is to the present valut of the annuity certain, so is the said reserved remainder to a fourth proportional, which will be the number of years purchase required.
Page 141 - 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.