Volume 1

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. Also, essays on different subjects in the doctrine of life-annuities and political arithmetic ... / by Richard Price. The whole new arranged, and enlarged ... by William Morgan.

  • Price, Richard, 1723-1791.
Date:
1812
Catalogue details

Licence: Public Domain Mark

Credit: 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. Also, essays on different subjects in the doctrine of life-annuities and political arithmetic ... / by Richard Price. The whole new arranged, and enlarged ... by William Morgan. Source: Wellcome Collection.

    444/474 (page 390)
    PROBLEM VIII. To determine the value of a given sum, payable on the death of A or B, should either of them be. the oe: that fails of the three lives A, B, and C. SOLUTION, - woe cee Let ©, as in Prob. IV. denote the value of S on the contingency of C’s surviving B, and the value of the BG ap when C is the pidast of the ager a6 will b “= S into — x Se : dt '¥ Blak eR A 4 BRO ABE. BCR ARC Poi BC — ABC. ...m PC — APC d 3r OSE 66r~ “Scr ry aig «3 at et g,----Butif A be Nye oldest, “She-valie gill be = == S into _ £ y eH HIC + Hib = HBC ¢.AF—AFC ane V.— AB AB “” xX nn ee 3a b pees rer Qes 65 $25 —— rr ne an ABC whe ded x eae adi ae — PNC Rr ye cer Ao, -. ee And if, the three 2.S.r—1 lives be equal, the value will be == sat | PROBLEM IX. To determine the value of a given ae payable on the death of A or B, should either of them be the second that fails of the three lives A, B, and C,