Value of a life of 40 years 14.034 Ditto, after 7 years 12.472 × 1811 × .7599178 8.333 Value of ditto for 7 years 5.7005 Value of ditto, after 6 years = 12.724 × .790314 9.0225 £3 19 96.0125 = .664 ≈13s. 34d. EXERCISES. 1. Required the value of an assurance of £500 in a single and in annual payments, for a term of 5 years, on the life of a person 16 years of age. 2. Required the value of £50 per annum for ever; to be entered upon at the death of a person 30 years of age, should that happen in 15 years. 3. Required the value of an assurance of £100 in a single and also in annual payments, for a term of 10 years, on the life of a person 50 years of age. TABLE I. Showing the Amount of £1 for Years. Yrs. 3 per cent. 3 per cent. 4 per cent. 41 per cent. 5 per cent. 1.124864 1.141166 1.157625 1.169858 1.192518 1.215506 1.216652 1.246181 1.276281 6 1.194052 1.229255 1.265319 1.302260 1.340095 7 1.229873 1.272279 1.315931 1.360861 1.407103 8 1.266770 1.316808 1.368569 1.422100 1.477455 9 1.304773 1.362897 1.423211 1.486095 1.551328 10 1.343916 1.410598 1.480244 1.552969 1.628894 11 1.384233 1.459969 1.539454 1.622853 1.710339 12 1.425760 1.511068 1.601032 1.695881 1.795856 13 1.468533 1.563956 1.665073 1.772196 1.885649 14 1.512589 1.618694 1.731676 1.851944 1.979931 15 1.557967 1.675348 1.800943 1.935282 2.078928 16 1.604706 1.733986 1.872981 2.022370 2.182874 17 1.652847 1.794675 1.947900 2.113376 2.292018 18 1.702433 1.857489 2.025816 2.208478 2.406619 19 1.753506 1.922501 2.106849 2.307860 2.526950 20 1.806111 1.989788 2.191128 2.411714 2.653297 21 1.860294 2.059431 2.278768 2.520241 2.785962 22 1.916103 2.131511 2.369918 2.633652 2.925260 23 1.973586 2.206114 2.464715 2.752166 3.071523 24 2.032794 2.283328 2,563304 2.876013 8.22510 25 2.093777 2.363244 2.665836 3.005434 3.386354 26 2.156591 2.445958 2.772469 3.140679 3.555672 27 2.221289 2.531567 2.883368 3.282009 3.733456 28 2.287927 2.620171 2.998703 3.429699 3.920129 29 2.356565 2.711877 3.118651 3.584036 4.116135 30 2.427262 2.806793 3.243397 3.745318 4.321942 4.538039 31 2.500080 2.905031 3.373133 3.913857 32 2.575082 3.006707 3.508058 4 089981 4.764941 33 2.652335 3.111942 3.648381 4.274030 5.003188 34 2.731905 3.220860 3.794316 4.466361 5.253348 35 2.813862 3.333590 3.946088 4.667347 5.516015 TABLE I. Continued. Yrs. 3 per cent. 31 per cent. 4 per cent. 4 per cent. 5 per cent. 36 2.898278 3.450266 4.013932 4.877378 5.791816 37 2.985226 3.571025 4.268089 5.096860 6.081406 38 3.074783 3.696011 4.438813 5.326219 6.385477 39 3.167036 3.825371 4.616365 5.565899 6.704751 40 3.262037 3.959259 4.801020 5.816364 7.039988 41 3,359898 4.097833 4.993061 6.078100 7.391988 42 3.460695 4.241257 5.192783 6.351615 7.761587. 43 3.564516 4.389702 5.400495 6.637438 8.149666 44 3.671452 4.543341 5.616515 6.936122 8.557150 45 3.781595 4.702358 5.841175 7,248248 8.985007 46 3.895043 4.866941 6,074822 7.574419 9.434258 47 4.011895 5.037284 6.317815 7.915268 9.905971 48 4.132251 5.213588 6.570528 8.271455 10.401269 49 4.256219 5.396064 6.833349 8.643671 10.921333 50 4.383906 5.584926 7.106683 9.032636 11,46740 |