On the value of annuities and reversionary payments Volume 1; with numerous tables

On the Value of Annuities and Reversionary Payments #1

by David Jones

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1843 ...surviving that term. 135. If the numerator and denominator of the expression be multiplied by r", its value remains unaltered, and becomes This formula, when we have tables calculated of the description mentioned in Art. 115, points out a very short method of calculating the values of deferred annuities; for the number in column N, opposite the age (m+n) at which the annuity is to be entered upon, is the numerator of the fraction, and the number in column D, opposite the present age (m) is the denominator of the fraction; the formula by Davies,s method is therefore 136. Rule. Divide the number in column N, opposite the age at which the annuity will be entered upon, by the number in column D opposite the present age. When the annuity depends on the joint existence of any number of lives respectively aged m, wi,, m,, &c, the probability of their jointly surviving the term must evidently be substituted for the probability of one life surviving, i.e. „4-A..+.-1+. &c. 1 h TEMPORARY ANNUITIES. 137. Let the present value of an annuity to continue the next n years provided any number of lives aged m, m„ m«, &c., continue jointly to exist during that term, be denoted by a(„, „ „4, &.,. As the value of an annuity to continue for the next n years, together with the value of an annuity which is to be entered upon at the expiration of n years, and then continue during the remaining time of joint existence, is evidently equal to the value of the annuity on the lives for the whole period of joint existence, to be entered on immediately, we have the equation; "(„. „,.„,. „,) + o(„, a.) „,, »c. by transposition, I«(„Mi,lc.) =o„-fl(„, BwZe. From the va...

54 pages, Paperback

Published January 1, 2012

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