 | Charles Ansell - 1835 - 228 pages
...r)". --i-'-— > — - a± ^ and if p be unity, and we make P a equal to the present value of £ 1, to be received at the end of the year in which the life A may fail, we obtain this equation ~ U+r / — / L 'sM-~~—*o+> JL "+*.. "+ 3 " " H ' - r ~~' " -... | |
 | David Jones (Actuary.) - Annuities - 1843 - 602 pages
...immediately for the whole term of life ; it therefore follows that the value of the assurance of a sum to be received at the end of the year in which the life or lives shall fail, provided that event take place after I years, is equal to the difference between... | |
 | Arthur Scratchley - Life insurance - 1851 - 182 pages
...similar annuity of =-— — a year. Let px = the mathematical annual premium to assure the sum of £1 to be received at the end of the year in which the life x may die. vx = the office annual premium =/(pI) 17. — Then f, may be determined from a table of... | |
 | Arthur Scratchley - Agricultural colonies - 1851 - 412 pages
...of a similar annuity of - a year. Let px = the mathematical annual premium to assure the sum of £1 to be received at the end of the year in which the life i may die. iff = the office annual premium =f(px) 1. — Then px may be determined from a table of... | |
 | W. Hipsley - Business mathematics - 1852 - 116 pages
...on a life aged 15. What premium ought to be paid for the assurance of £500 na life aged forty-five, to be received at the end of the year in which the life shall fail, interest 4 per cent. ? E 9 Let R,n equal tbe value of the reversion of £1, at m years... | |
 | W. Hipsley - 1852 - 122 pages
...a life aged 15. What premium ought to be paid for the assurance of £500 on a life aged forty-five, to be received at the end of the year in which the life shall fail, interest 4 per cent. ? E 2 Let B» equal the value of tbe reversion of £1, at m years... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...values. IjCt A denote the value of an annuity on a life of a given age, V the present value of 81, to be received at the end of the year in which the life fails, г the rate of interest, and » = -jj — ; then, RES] MATHEMATICAL DICTIONARY AND A, or, K... | |
 | Thomas Young - Egypt - 1855 - 804 pages
...consequently 1 -) — will be the amount. The converse therefore of these expressions or and will be the present value of 11. to be received at the end of a ' ' 1+0 year, or at the end of -th part of a year.— The series —— 1- + _ - is known to express... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...ASSURANCE.] Let A denote the value of an annuity of ll. on a life of a given age, V the present value of I/, to be received at the end of the year in which the life fails (the year being supposed to commence with the. day on which the annuity is payable), r the rate... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...ASSURANCE.] Let A denote the value of an annuity of ll. on a life of a given age, V the present value of \l. to be received at the end of the year in which the life fails (the year being supposed to commence with the day on which the annuity is payable), r the rate... | |
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I/, to be received at the end of the year in which the life fails (the year being supposed to commence with the. 
