Observations on Reversionary Payments: On Schemes for Providing Annuities for Widows, and for Persons in Old Age; on the Method of Calculating the Values of Assurances on Lives; and on the National Debt : to which are Added Four Essays ... Also an Appendix ...

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T. Cadell, in the Strand, 1771 - Annuities - 344 pages
 

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Page 251 - ... as in other Tables, but of all the inhabitants of London at the time they enter it, whether that be at birth, or at 20 years of age. The expectations, therefore, and the values of London lives under 20, cannot be calculated from this Table. But it may be very eafily fitted for this purpofe by finding the number of births which, according to the given decrements of life, will leave 494 alive at 20 ; and then adapting the intermediate numbers in fuch a manner to this radix, as to preferve all along...
Page 267 - For it fhould be obferved, that at NORTHAMPTON the number of female children was, in 1746, greater than the number of male children, in the proportion of 759 to 624.— The greater mortality of males, therefore, takes place among children.
Page 242 - In this case 2 80 will be the true number of the living in the town, at the age of 10; and the recruits not coming in till 20, the number given by the Bills, as dying between 10 and 20, will be the true number dying annually of the living in this division of life.
Page 202 - Moderate towns being seats of refinement, emulation, and arts, may be public advantages. But great towns, long before they grow to half the bulk of London, become checks on population of too hurtful a nature, nurseries of debauchery and voluptuousness; and in many respects, greater evils than can be compensated by any advantages
Page 246 - In these circumstances, in order to find the true number of the inhabitants, from bills of mortality containing an account of the ages at which all die, it is necessary that the proportion of the annual births to the annual settlers should be known, and also the period of life at which the latter remove.
Page 36 - I have referred to, is as follows. " Find the value of an annuity on two, " equal joint lives, whereof the common age " is equal to the age of the older of the two " propofed lives ; which value, fubtradt from " the perpetuity, and take half the remain
Page 235 - ... dying every year at any particular age, and above it, must be equal to the number of the living at that age. The number for example dying every year at all ages from the beginning to the utmost extremity of life, must, in...
Page 1 - Answer. It is evident that the value of such an expectation is different, according to the different ages of the purchasers, and the proportion of the age of the wife to that of the husband. Let us then suppose that every person in such a so.
Page xiii - Saviour's birth, as to double itself every fourteen years — or, what is nearly the same, put out at five per cent, compound interest at our Saviour's birth — would by this time have increased to more money than could be contained in 150 millions of globes, each equal to the earth in magnitude, and all solid gold.
Page 241 - ... will give the number of inhabitants, and the probabilities of life, too great, for all ages preceding that at which the recruits ceafe ; and after this, it will give them right.

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