A treatise on the valuation of life contingencies |
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Common terms and phrases
20 years hence A's death aged 20 aged 23 aged 30 aged 40 aged 50 ann(a annual premium annuity of 200 annuity of 52 annuity payable arithmetical mean ass g assurance at B's assurance of 1300 B's death Carlisle coef(A cologarithm column Log compute the value Construct a table death happen discount endowment of 800 expression fraction Give the formula interpolation joint annuity joint lives joint succession jointly la.lb la.lb.lc lb pc log mor Log pay logarithms nominee number alive number of B's number of claims number of couples number of deaths number of payments number of triplets paid payable 20 payable so long person now aged present value previously dead purchase Required the annual Required the premium Required the present Required the value second death survived survivors survivorship annuity symbol taking the sum Thence total number values of assurances
Popular passages
Page 67 - Therefore, a written promise to pay a certain sum of money at the death of a party to the instrument, or at a limited time after the death of such party, or of a third person, is a valid Promissory Note ; because it must inevitably become due at some future time, since all men must die, although the exact period is uncertain.
Page 38 - NJ+,_I,J_I, and so on. = y, the second numerator must be 16. The present value of £l to be paid on the death of (.r), provided he die within n years after y. From the preceding result subtract the present value of £l payable at the death of (x), if (y) survive. (See No. 9.) 17. The present value of £(1) to be paid at the death of (x), if he survive (y). From the present value of an assurance on the life of...
Page 38 - ... value of £l payable at the death of (x), if (y) survive. (See No. 9.) 17. The present value of £(1) to be paid at the death of (x), if he survive (y). From the present value of an assurance on the life of (a;) subtract the result of (9), or the value of £l to be paid at his death, if y survive. 18. The present value of £l to be paid at the death of (x), if more than n years after the death of (y). From the present value of an assurance of £ 1 on the life of (x) subtract the result of (15)....
Page 137 - ... parts, as it is generally conceded that no matter when the death occurs we are entitled to the full year's cost for that policy year. Inasmuch as we are dealing with calendar years and not with policy years, let us look at the matter on that basis. Taking the whole year's deaths during the calendar year on the supposition of a uniform distribution of deaths during the year (which is in accord with mean reserve valuations) we can assume that one-half will die before the anniversary and one-half...