# Notes on Life Insurance; Part First--Theoretical. Part Second--Practical. with Appendix

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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. 1875 edition. Excerpt: ...d.. Multiply both numerator and denominator 1--rv-j by v ( noting that r'v is equal to 1), and we have r'v 1 I, Multiply the numerator and denominator of this fraction by r and r'l, r'l. r'l, we have, u, --I. r'l Referring again to w, = y-1; if both numerator and denominator 4+i v+, r't of this expression are multiplied by -+', we have w, =-= g4 _ P, The numerical values of w, c, and k at each age have been calculated and placed in columns, headed respectively u, c, and k. The quantities represented by the symbols u and k, although always retaining their correct numerical value, may come up in the general discussions in a variety of shapes. Sometimes these transformations are very convenient in the practical work of computing net values, as seen above in case of the factor u, = r' D--becoming equal to; from which it is easy to obtain u, 1--r c, -D-+i by using the D column which has already been constructed. A THIRD GENERAL FORMULA FOR RESERVE. The deposit at the beginning of the rath year being represented by H, +n-1, the net annual premium by -P and the number living at the beginning of the year by (, +_i-Assume that the number of insured persons is that given in the table. We will then have the net funds on hand at the beginning of the year represented by (JB., +_i+aP, ). As before, call the ratio of interest/. Then the amount that will be on hand at the end of the year will be expressed by, + -Px). Subtract from this the whole amount of death losses during the year, which is 4+_i--(4+n), because the amount insured in each case is \$1, and the number of deaths during the year is equal to the number living at the beginning of the year minus the number living at the end of the year. The net fund remaining on hand at the...show more

## Product details

• Paperback | 52 pages
• 189 x 246 x 3mm | 109g
• Miami Fl, United States
• English
• black & white illustrations
• 1236591151
• 9781236591159