Journal . 172 £393-515368-489358-226317-155336-056 £ 7,7947,5687,6077,6077,589 £ ?7,4826,9816,7736,5586,346 0-4o & upwards Sf5,616122,317 1,803-4412,112-518 38,16554,057 3-1,14039,893 4,02514,164 Totals 208,933 3,915-959 92,222 74,033 18,189 Approximate Valuation. (A) 0-45 & upwards £ ! £ £ 38,17054,057 £34,12839,893 74,021-12 £ 4,042 14,164 TotalsError 92,227 + 5 18,206 + 17 18,210+ 21 All durationsError 92,233+ 11 74,023-10 220 Approximate Valuation of Whole-Life Assurances, [April Age attained, Valnafian. 0-4 5 & upwards 8nmAssured 2,4672,6602,8163,1383,288 14,369168,150 NetPremium


Journal . 172 £393-515368-489358-226317-155336-056 £ 7,7947,5687,6077,6077,589 £ ?7,4826,9816,7736,5586,346 0-4o & upwards Sf5,616122,317 1,803-4412,112-518 38,16554,057 3-1,14039,893 4,02514,164 Totals 208,933 3,915-959 92,222 74,033 18,189 Approximate Valuation. (A) 0-45 & upwards £ ! £ £ 38,17054,057 £34,12839,893 74,021-12 £ 4,042 14,164 TotalsError 92,227 + 5 18,206 + 17 18,210+ 21 All durationsError 92,233+ 11 74,023-10 220 Approximate Valuation of Whole-Life Assurances, [April Age attained, Valnafian. 0-4 5 & upwards 8nmAssured 2,4672,6602,8163,1383,288 14,369168,150 NetPremiums 115900119-647121-370129-662130-336 Value ofI Sums1 Assured £1,5461,6741,7781,9852,081 616-915 4,067-981 9,064106,436 Totals 182,519 ! 4,684-896 i 115,500 Value of NetPremiums NetLiability a; ij 1,465 81 1,501 173 1,514 264 1,613 372 1,619 462 \ 7,712 1,352 50,532 55,904 1 58,244 57,256 Approximate Valuation (A) 0-45 & upwards 9,060106,436 7,71550,532 £ 1,345 55,904 TotalsError. In the approximate valuation marked (A), the averageduration was deduced in respect of the period of selection only;in that marked (B), the average duration was deduced in respectof the whole of the assurances valued, whether in the select orultimate period. In the following tables, the approximate and true valuesof (^[,,-t]+t, according to the 0^^^^^ Table at 3 per-cent, arecompared; also the values of (^[y_t]+f^^[y-Q]+Q (at 2^ and3 per-cent), with//^/q. 0^^^ Values of <kv-t^+t 3 per-cent. y t=0 i = l « = 2 i = 3 i-=4 25 •117 •052 •018 -004 -000 35 •130 ?062 -024 -006 •000 45 •159 -0S2 •035 -010 -001 55 •219 •123 •056 -018 -003 65 •309 •183 •087 •029 •004 1909.] »[NM] xoith allowance for Selection. 221 Values of ft{A + Bc^ + Cr^) 3 per-cent. 25 •107 •055 •023 •006 •001 35 •122 •063 •027 •008 ?001 45 •158 •081 •035 •010 •001 55 •232 •120 •051 •015 •002 65 •334 •173 •073 •021 •002 Values of <^[.v-


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Keywords: ., bookauthorinstituteofactuariesg, bookcentury1800, bookdecade1850