interest 5%

Consider a whole life insurance with sum insured of $100,000 payable at the end of the year of death, issued to a life aged 35. Annual premiums are paid at the begining of the year for a duration of time which is the earliest of the death of the person or 20 years Calculate the annual premium using the equivalence principle 586 Appendix D. Tables Appendix D. Tables 582 Table D.3 Standard Ultimate Survival Model, I = 5% per year. Table D 3 (Con.) * AL SEX IE a A SE 2 I 0.60182 0.60050 21 22 23 19.966 19.920 19.871 19.819 19.765 0.04922 0.05144 0.05378 0.05622 0.05879 0.00580 0.00614 0.00652 0.00594 0.00739 0.78252 0.78250 0.78248 0.78245 0.78243 0.61234 0.61220 0.61215 0.61210 0.61205 0.37410 0.37429 0.37417 037404 0.37390 50 51 32 33 54 17.025 16.846 16.661 16.468 16.268 0.18931 0.19780 0.2066+ 0.21582 0.22538 0.05108 0.03517 0.05957 0.06430 0.06938 0.77772 0.77311 0.7761) 0.77566 0.7747 0.59902 0.59736 0.59550 0.34824 0.34503 0.3416 0.33749 0.33308 su 51 53 53 54 75 26 19.709 19 SO 19 588 0.05147 0.05429 0.06725 0.07034 0.07359 0.00788 0.00841 0.00900 0.00964 0.01033 0.78240 0.78236 0.78233 0.78229 0.78224 0.61198 0.61191 0.61183 0.61174 061163 0.37373 0.37354 0.37334 0.37310 0.37284 SS 56 57 58 59 16.060 15.8-14 15.621 15.390 IS.151 0.23527 0.24550 0.25613 0.26714 0.27852 0.07483 0.08062 0.08692 0.09360 0.10093 0.77382 0.77278 0.77151 0.2701 0.76800 039342 0.39109 058868 0.58556 0.58319 0.32819 0.32279 031681 0.31004 0.30300 55 56 57 58 59 38 29 19.455 28 14 19.383 60 30 31 32 0.07698 0.05054 0.05427 D.08817 0.05226 19.230 19.148 19.053 001109 0.01192 0.01281 0.01379 0.01486 0.78219 0.78213 0.78206 0.78199 0.78190 0.61152 0.61139 10.61 124 0.61 108 0.61090 037254 0.37221 0.37183 0.37141 0.3709 30 31 53 53 33 29898 60 61 62 63 14.904 14.09 14.386 14.115 13.836 0.2008 0130243 0.31495 0.32785 0.34113 0.10634 OL116 0.12506 0.13421 0.14392 1176687 0.76-193 0.76276 0.76033 0.75760 0.57861 0.57457 0 57003 0.56496 055932 0.29508 028641 0.27698 0.16674 0.25569 61 62 64 35 36 37 38 39 18.973 18.279 18.780 18.678 1.570 0.09659 0.10101 0.10569 0.11059 0.1 1571 0.01601 0.01727 0.01863 0.02012 0.02173 0.78181 0.78170 0.78158 0.78145 0.78130 0.61069 0.61046 0.61020 0.60990) 0.60957 0.37041 0.3692 0.36915 0.36341 0.36757 35 Bc 55 58 59 65 66 67 08 69 13 $50 13.256 12.954 12.6-16 12.NO 0.354427 0.36878 0.38313 0.39783 0.41235 0.15420 0.16507 0.17634 0.18862 0.20133 0.75455 0.75114 0.74732 0.74305 41.73825 U.35305 054609 0.53836 0.5.1981 0.52036 0:34381 0.23112 0.21761 U.20343 0.18856 65 06 67 89 69 40 41 If 18.458 18.340 18.218 18.090 17.956 0.12106 0.12665 013349 0.13859 0.14496 0.02347 0.02536 0.02741 0.02963 0.03203 0.78113 0.78094 0.78072 0.78048 0.78021 0.60920 0.60879 0.60832 0,60780 0.60721 0.36663 036558 036410 036307 036159 12.008 11.680 11.347 L1,008 10.665 0.42818 0.44379 0.45965 0.47580 0.49215 0.21467 022854 0.24334 0.25847 0.27433 0.7325 0.71701 0.72039 0.71303 0.70483 0.509 09818 0.+8590 0-47215 0.45715 0.17313 0.15730 0.14122 0.12511 0.10918 70 71 72 73 74 ET 44 78 45 46 47 17.816 17.671 17.519 0.15161 0.15854 0.16577 0203463 0.03744 0.00047 0.72991 0.77956 0.77918 0.60655 0.60581 0.6049 03591 035809 0.35601 511 01 10.318 1962 9.614 0.50868 052536 0.54217 0.29079 0.30783 0.325-44 0.69574 0.68566 0.67450 44065 042323 0.10427 0.09368 0.07487 0.06500 75 76 77 Consider a whole life insurance with sum insured of $100,000 payable at the end of the year of death, issued to a life aged 35. Annual premiums are paid at the begining of the year for a duration of time which is the earliest of the death of the person or 20 years Calculate the annual premium using the equivalence principle 586 Appendix D. Tables Appendix D. Tables 582 Table D.3 Standard Ultimate Survival Model, I = 5% per year. Table D 3 (Con.) * AL SEX IE a A SE 2 I 0.60182 0.60050 21 22 23 19.966 19.920 19.871 19.819 19.765 0.04922 0.05144 0.05378 0.05622 0.05879 0.00580 0.00614 0.00652 0.00594 0.00739 0.78252 0.78250 0.78248 0.78245 0.78243 0.61234 0.61220 0.61215 0.61210 0.61205 0.37410 0.37429 0.37417 037404 0.37390 50 51 32 33 54 17.025 16.846 16.661 16.468 16.268 0.18931 0.19780 0.2066+ 0.21582 0.22538 0.05108 0.03517 0.05957 0.06430 0.06938 0.77772 0.77311 0.7761) 0.77566 0.7747 0.59902 0.59736 0.59550 0.34824 0.34503 0.3416 0.33749 0.33308 su 51 53 53 54 75 26 19.709 19 SO 19 588 0.05147 0.05429 0.06725 0.07034 0.07359 0.00788 0.00841 0.00900 0.00964 0.01033 0.78240 0.78236 0.78233 0.78229 0.78224 0.61198 0.61191 0.61183 0.61174 061163 0.37373 0.37354 0.37334 0.37310 0.37284 SS 56 57 58 59 16.060 15.8-14 15.621 15.390 IS.151 0.23527 0.24550 0.25613 0.26714 0.27852 0.07483 0.08062 0.08692 0.09360 0.10093 0.77382 0.77278 0.77151 0.2701 0.76800 039342 0.39109 058868 0.58556 0.58319 0.32819 0.32279 031681 0.31004 0.30300 55 56 57 58 59 38 29 19.455 28 14 19.383 60 30 31 32 0.07698 0.05054 0.05427 D.08817 0.05226 19.230 19.148 19.053 001109 0.01192 0.01281 0.01379 0.01486 0.78219 0.78213 0.78206 0.78199 0.78190 0.61152 0.61139 10.61 124 0.61 108 0.61090 037254 0.37221 0.37183 0.37141 0.3709 30 31 53 53 33 29898 60 61 62 63 14.904 14.09 14.386 14.115 13.836 0.2008 0130243 0.31495 0.32785 0.34113 0.10634 OL116 0.12506 0.13421 0.14392 1176687 0.76-193 0.76276 0.76033 0.75760 0.57861 0.57457 0 57003 0.56496 055932 0.29508 028641 0.27698 0.16674 0.25569 61 62 64 35 36 37 38 39 18.973 18.279 18.780 18.678 1.570 0.09659 0.10101 0.10569 0.11059 0.1 1571 0.01601 0.01727 0.01863 0.02012 0.02173 0.78181 0.78170 0.78158 0.78145 0.78130 0.61069 0.61046 0.61020 0.60990) 0.60957 0.37041 0.3692 0.36915 0.36341 0.36757 35 Bc 55 58 59 65 66 67 08 69 13 $50 13.256 12.954 12.6-16 12.NO 0.354427 0.36878 0.38313 0.39783 0.41235 0.15420 0.16507 0.17634 0.18862 0.20133 0.75455 0.75114 0.74732 0.74305 41.73825 U.35305 054609 0.53836 0.5.1981 0.52036 0:34381 0.23112 0.21761 U.20343 0.18856 65 06 67 89 69 40 41 If 18.458 18.340 18.218 18.090 17.956 0.12106 0.12665 013349 0.13859 0.14496 0.02347 0.02536 0.02741 0.02963 0.03203 0.78113 0.78094 0.78072 0.78048 0.78021 0.60920 0.60879 0.60832 0,60780 0.60721 0.36663 036558 036410 036307 036159 12.008 11.680 11.347 L1,008 10.665 0.42818 0.44379 0.45965 0.47580 0.49215 0.21467 022854 0.24334 0.25847 0.27433 0.7325 0.71701 0.72039 0.71303 0.70483 0.509 09818 0.+8590 0-47215 0.45715 0.17313 0.15730 0.14122 0.12511 0.10918 70 71 72 73 74 ET 44 78 45 46 47 17.816 17.671 17.519 0.15161 0.15854 0.16577 0203463 0.03744 0.00047 0.72991 0.77956 0.77918 0.60655 0.60581 0.6049 03591 035809 0.35601 511 01 10.318 1962 9.614 0.50868 052536 0.54217 0.29079 0.30783 0.325-44 0.69574 0.68566 0.67450 44065 042323 0.10427 0.09368 0.07487 0.06500 75 76 77