4. (25%) Using Table 15.3 given in Chapter 15, calculate the single premium for the four- year term life insurance policy with face amount equal to $100,000 for a 40-year-old with an interest rate of 10%.TABLE 15.3 1980 standard mortality table for males. Probability Number Number Probability Number Number Age of Dying of People of Deaths Age of Dying of People of Deaths 0.00418 1000000 4180 0.00107 995820 1066 51 0.00730 890645 6502 0.00099 994754 985 52 0.00796 884144 7038 0.00098 993770 974 53 0.00871 877106 7640 0.00095 992796 943 54 0.00956 869466 8312 0.00090 991853 893 55 0.01047 861154 9016 0.00086 990960 852 56 0.01146 852138 9766 0.00080 990108 792 57 0.01249 842372 10521 0.00076 989316 752 58 0.01359 831851 11305 0.00074 988564 732 59 0.01477 820546 12119 10 0.00073 987832 721 60 0.01608 808427 1 3000 11 0.00077 987111 760 61 0.01754 795427 13952 12 0.00085 986351 838 62 0.01919 781476 4997 13 0.00099 985513 976 63 0.02106 766479 16142 14 0.00115 984537 1132 64 0.02314 750337 17363 15 0.00133 983405 1308 65 0.02542 732974 18632 16 0.00151 982097 1483 66 0.02785 714342 19894 17 0.00167 980614 1638 67 0.03044 694448 21139 18 0.00178 978976 1743 68 0.03319 673309 22347 19 0.00186 977234 1818 69 0.03617 650962 23545 20 0.00190 975416 1853 70 0.03951 627416 24789 21 0.00191 973563 1860 71 0.04330 602627 26094 22 0.00189 971703 1837 72 0.04765 576533 27472 23 0.00186 969867 1804 73 0.05264 549061 28903 24 0.00182 968063 1762 74 0.05819 520159 30268 25 0.00177 966301 1710 75 0.06419 489891 31446 26 0.00173 964591 669 76 0.07053 458445 32334 27 0.00171 962922 1647 77 0.07712 426111 32862 28 0.00170 961275 1634 78 0.08390 393249 32994 29 0.00171 959641 1641 79 0.09105 360255 32801 30 0.00173 958000 1657 80 0.09884 327454 32366 31 0.00178 956343 1702 81 0.10748 295089 31716 32 0.00183 954640 1747 82 0.11725 263372 30880 33 0.00191 952893 1820 83 0.12826 232492 29819 34 0.00200 951073 1902 84 0.14025 202673 28425 35 0.00211 949171 2003 85 0.15295 174248 26651 36 0.00224 947168 2122 86 0.16609 147597 24514 37 0.00240 945047 2268 87 0.17955 123082 22099 38 0.00258 942779 2432 88 0.19327 100983 19517 39 0.00279 940346 2624 89 0.20729 81466 16887 40 0.00302 937723 2832 90 0.22177 64579 14322 41 0.00329 934891 3076 91 0.23698 50257 11910 42 0.00356 931815 3317 92 0.25345 38347 9719 43 0.00387 928498 3593 93 0.27211 28628 7790 44 0.00419 924905 3875 94 0.29590 20838 6166 45 0.00455 921029 4191 95 0.32996 14672 4841 46 0.00492 916838 4511 96 0.38455 9831 3780 47 0.00532 912328 4854 97 0.48020 6050 2905 48 0.00574 907474 5209 98 0.65798 3145 2069 49 0.00621 902265 5603 99 1.00000 1076 1076 50 0.00671 896662 6017 100 0