A Compendium of Algebra: To which is Added, a Treatise of Interest and Annuities, Taking of Leases, & C. ... Also Rules to be Observed in Estimating the Value of Annuities, and Leases for Lives

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D. Browne, jun., 1724 - 220 pàgines
 

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Pàgina 213 - And to account it as a Blessing that we have survived, perhaps by many Years, that Period of Life, whereat the one half of the whole Race of Mankind does not arrive.
Pàgina 210 - Persons of the Age proposed, and divide it by the difference between it and the number of those of the...
Pàgina 210 - Use III. But if it be enquired at what number of Years, it is an even Lay that a Person of any Age shall die...
Pàgina 209 - Table is to shew the differing degrees of Mortality, or rather Vitality in all Ages; for if the number of Persons of any Age remaining after one year, be divided by the difference between that and the number of the Age proposed, it shews the odds that there is, that a Person of that Age does not die in a Year.
Pàgina 212 - Use V. Two Lives are likewise valuable by the same Rule; for the number of Chances of each single Life, found in the Table, being multiplied together, become the Chances of the Two Lives. And after any certain Term of Years, the Product of the two remaining Sums is the Chances that both the Persons are living. The Product of the two Differences, being the numbers of the Dead of both Ages, are the Chances that both the Persons are dead. And the two Products of the remaining Sums of the one Age multiplied...
Pàgina 212 - ... already said about that table : only here I must again beg leave to give my opinion about the difference of the proportions in the two tables, which is, that as the table in page 107 may not be thought a sufficient guide to be depended upon in estimating the length of men's lives, etc., because it's only deduced from the bare rules of art, viz., that of duplicate proportion ; so on the other hand, I doubt the estimates of the value of any annu.
Pàgina 211 - And by consequence, as the Sum of both or the number of Persons living of the Age first proposed, to the number remaining after so many years, (both given by the Table) so...
Pàgina 210 - On this depends the Valuation of Annuities upon Lives; for it is plain that the Purchaser ought to pay for only such a part of the value of the Annuity, as he has Chances that he is living; and this ought to be computed yearly, and the Sum of all those yearly Values being added together, will amount to the value of the Annuity for the Life of the Person proposed.
Pàgina 35 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Pàgina 206 - ... altered by Petty. APPENDIX. i. [EXTRACT FROM THE DISCOURSE CONCERNING THE USE OF DUPLICATE PROPORTION1, 1674.] The Eleventh Instance. In the Life of Man, and its Duration. It is found by Experience, that there are more persons living of between 16 and 26 years old*, than of any other Age or Decade of years in the whole life of Man (which David and Experience say to be between 70 and 80 years :) The reasons whereof are not abstruse, viz. because those of 1 6 have passed the danger of Teeth, Convulsions,...

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