Consider a 30-year term insurance issued to a life aged 35 with annual premiums for the duration of the term (paid at the beginning of the year), sum insured $600,000, payable at the end of the year of death i=5% Calculate the annual premium using the equivalence principle. Use table D. Round answer to 2 decimal places Appendix D Tables In this appendix we show tahles of selected functions for the Standard Ultimate and Select Survival Models. These are used extensively throughout this book For examples and exercises The Standard Ultimate Survival Model follows Makeham's Law. param- terized as fillows: EA - B where A = 0.00022, B = 2.7 x 10-4.C = 1.124. (DU) The Standard Select Survival Model is defined as follows: The select period is two years The ultima part of the model is the Standard Ultimate Survival Model. For the select part of the model for 2. (D.2) This model w introduced in Example 3.13. We also present for convenience of access, the pension service table derived and used for examples and rises in Chapter 10 Note that all the solutions to the examples and exercises in the text, and in the accompanying model solutions were calculated directly from the models, not from these labies. Using these this will introduce rounding errors, resulting in some small differences compared with the answers in the text The tables me designed to provide a commenient reference for readers, and to assist with exam preparation for cum candidates. However, there are many examples and exercises in the word using these tablet is recommended that made the spreadsets, which can be used when the partier ordre differences were *** +2 1+1 7.2 + TORXX0.00 20 6096568.13 96287.48 95940.60 62 999750 21 61 96232.34 95920.27 95534.41 63 2009998 08 0973.75 0949.71 22 62 95858.91 95511.80 95062.33 64 21999200499948.40 99923.98 27 63 95443.51 95057.36 94579.73 65 2290944.6399922.65 9897.79 24 54 94981.34 94531.72 94020.3.3 66 239908186.49987108 25 65 94167.11 93989.16 93398.05 67 2490892.5299869.70 99843.80 26 66 93895.00 93.363.38 92706,0% 68 259865.60 99842.38 9991586 27 67 93258.63 92667.50 91936.88 26 99838 28.9981441 99787.20 2x 6R 9255102 91894.03 91082.43 70 2797810 20 99785/70 99797.71 29 59 9176458 91034.84 90133.96 71 28 09781399756,17 99727.29 30 7090891.07 90081.15 89082.09 72 29 99751.69 09725.70 09695.83 31 71 39921.62 8902356 87916.84 73 30 99772 06 996941 9416320 32 TE 1846.72 3785203 86627.64 74 3199689 16 9661.48 99629.26 7387656.25 36555.99 $201.46 75 32 99656.47 99627 47 99593.83 1. 74 36339.55 2512437 83632.89 76 33 0962222 99591.96 99556.75 35 754RR 49 31545.75 8190434 77 34 99.186.47 99554.78 9991780 75 23282.6181808.54 86062 78 35 99519,01 99515.73 99476.75 37 77 81519 30 7990117 77927.35 79 16 99509.64 99474 56 991334 38 78 7958404771275657.16 80 37 99468 12 99-31.0299387.29 19 70 7719313973136.JI RI 3899494.18 09384 BZ 99138.26 0 30 7515397 730507770307.19 82 1999177.52 99335.62 99285.88 41 571514.60 23 40 99327.82 99283.06 99329.76 43 64506.30 84 41 99274.6999226.7299169.41 514.38 R5 4299217.72 99166 14 9910433 5765668 43 99156.42 99100.8099023.94 45 50914,73 37 44 99090.27 9030.10 9895757 16 SOR 65 45 99018.67 98953.40 9887430 47 45095.64 30 46 99940.96 98869.96 978391 45 4184118 9 42 98856,3898778,94 98684.88 1751836 12 48 98764.00 98679.44 9857637 15379. 92 49 98661.15 950.0 98457.24 51 2918378 50 98353.51 98450,579833619 250041 51 9800.98 98.318.99181.77 21178.10 329897.24 919 902.16 17901.78 53 98149,81 984620 SS 54 979703 76.44 21 T11025 55 97807.07 97649117 . 999 56 W NN 15.6 37 0 978279299 90 59 W013. Table D.2 Standard Select Survival Model, i = 5% per year. Appende D. Tales 585 Table D.2 (Cont.) x 21 TEN 1 19.967 19.921 19,872 19.820 19.766 SO 2014 0.00576 0.00610 0.00648 0.00689 0.00734 0.04918 0.05140 0.05373 0.05618 0.05874 SEMI 0.78255 0.78254 0.78252 0.78349 0.78247 10E 0.61227 0.61223 0.61218 0.61213 0.61208 20 21 206) 0.37441 0.37431 0.37419 0.37406 0.37392 51 52 53 22 23 24 17028 16.850 16.665 16,473 16.273 0.18913 0.19761 0.20642 0.21558 0.22509 SEM 0.77791 0.77732 0.77665 0.77591 0.77507 0.05087 0.05495 0.05933 0.06104 0.06909 0.60196 0.60066 0.59919 0.59755 0.59572 0.34832 0.34512 0.34156 0.33760 033320 so 51 52 53 54 19.710 19,651 19.589 19.524 19.456 0.06143 0.06424 0.06720 0.07029 0.07353 0.00783 0.00837 0.00895 0.00959 0.01025 0.78344 0.78341 0.78237 0.78233 0.78229 0.61201 0.61194 0.61186 0.61177 0.61167 0.37375 0.37356 0.37336 0.37312 0.37286 25 26 27 28 29 55 56 57 58 59 16.066 15.851 15.628 15.398 15.160 0.33496 0.24519 0.35579 0.26677 0.27811 0.07451 0.08031 0.08653 0.09317 0.10025 0.77413 0.77307 0.77189 0.72056 0.76X17 0.59306 0.59135 0.58877 0.58588 0.58365 033832 0.3223 0.31697 031041 0.30319 55 50 57 38 59 19310 19.232 19.150 19.064 0.07693 0.08049 0.08421 0.06811 0.09220 0.01101 0.01186 0.01276 0.01373 0.01479 0.78224 0.78218 0.78211 0.78204 0.78196 0.61156 0.61143 0.61128 0.61112 0.61094 0.37256 017221 0.37186 0.17144 0.37097 30 31 32 33 34 60 61 62 63 14.913 1.650 14.397 H.127 13.850 0.28984 0 30191 0.31442 032727 034049 0.10781 0.115.86 0.12441 0135 0.76739 0.7632 0.7611 0.76105 0.75841 057904 0.57501 0.57051 0.56550 0.55992 029538 0.28663 0.27721 0.26700 0.25546 60 61 62 0.14313 18.974 18.890 18.782 18.679 18.572 0.09647 10094 0.10562 0.11051 0.11563 0.01594 0.01720 0.01856 0.02004 0.02164 0.78187 0.78176 0.38165 0.78152 0.78137 0.61074 0.61051 0.61025 0.60996 0.60963 0.37H 0.36985 0.36919 0.36844 0.36761 35 36 37 38 19 65 66 67 68 69 13.564 13.272 12.972 12.665 12351 0.35407 0.36801 0 38230 0.39692 0.41186 0.15333 0.16411 0.17548 0.18746 2ockis 0.75545 0.75214 0.74844 0.7429 0.73966 0.55371 U.S4.2 0.53917 0.53070 0.52134 0.2411 1313 021297 0.20337 0.1991 67 08 64 0.17350 15707 70 71 18.460 18.312 18.220 18.092 11.955 0.12097 0.12656 0.132.40 01329 0.1445 0.02338 0.01527 0.0273 0.02952 0.03191 0.78121 0.7810Z 0.78062 0.7805 0.7032 0.60927 0.6086 0.608-40 0.60786 0.60730 0.36667 036562 0.36444 0.36J12 0.36165 41 +2 13 44 20 71 72 23 74 12.031 11.705 11.374 11.037 10.696 0.12710 0.44262 0.45840 04743 0.29065 0.21326 022709 0.24154 0.25662 0.27229 0.73450 07273 0.722J0 0.71 $15 0.70719 03110 . 0.48719 0.+7355 0.45867 (19THIO RISID TOID 73 24 45 17.819 17.673 17522 17. 17.200 G.15149 0.15841 0.16563 0.17314 0.18098 0.03450 0.03730 0.04032 0.035K 0.04709 0.78003 0.77970 0.77932 0.7791 0.77844 0.60664 0.60591 0.00500 060416 0.00313 0.35999 0.35815 0.35608 0.35377 0.35120 75 76 72 78 79 47 48 +9 10.352 10.00 1.654 9.30 8.950 0.50706 0.52362 0.510 0.550 0.17100 0.28856 030541 0.3280 0.34072 0.15912 0.69835 0.08854 007708 0.65 063043 0.4050 0.43501 0.40618 0.00 6151 75 76 77 QON 0.06331 00323 00411 * 62 Appendix D. Tables Aprende D. Tudi 255 Table D.3 Standard Ultimate Survival Model, i = 5$ per yeur Table D3 (Com 1 ag A. 24. 10E 20E E a. " SE, ME OS Si 20 21 22 23 24 19.966 19.920 19.871 19.819 19.765 30 31 SE, 0.78252 0.78250 0.78248 0.78245 0.78243 0.04922 0.05144 0.05378 0.05622 0.05879 0.00580 0.00614 0.00652 0.00694 0.00739 0.61224 0.61220 0.61215 0.61210 0.61205 0.37440 0.37429 037417 0.37404 0.37390 PA 0.05108 0.05317 05957 0.06430 0.06938 17.025 16.846 16.661 16,468 16.368 25 ES PS 0.18931 0.19780 0.2066 0.21582 0.22535 0.27772 077711 0.77613 0.77566 0.77479 0.60182 0.0000 0.59902 0.59736 0.54550 0.14824 0450 0.34116 33749 0305 ES PS ELELED 55 25 26 22 28 29 19.709 19,650 19.588 19.523 0.06147 0.06429 0.06725 0.07034 0.07359 0.00788 0.00841 0.009 0.00964 0.01033 0.78240 0.78236 0.78233 0.78229 0.78224 0.61198 0.61191 0.61180 0.61174 0.61163 H12 0 37354 0.37334 0.37310 0.37254 55 55 57 58 59 16.000 15.844 15.621 15.390 15.151 (23524 0.24550 0.25613 0.26714 0.2785 0.07483 0,08062 0.0093 0.09360 0.10073 0.77382 0.77273 0.77151 0.77014 0.76800 0.59343 0.59109 O.SS18 0.58556 0.58229 0.32819 0.12279 0.31681 0.11034 0.30300 57 58 5 19.455 30 0.78219 09 19 22 19.383 19.309 19.230 19.148 19.063 0.07698 0.08054 0.08427 0.08817 0.09226 0.01109 0.01192 0.01288 0.01379 001486 0.61152 0.61139 0.61124 0161108 0.61090 0.78213 0.78206 0.78199 0.78190 0.37254 0.37221 0.37183 0.37141 0.37094 C of 14.901 14.649 14.356 14.115 13.836 0.2902H 0.30243 0.31495 0.32785 0.34113 0.10834 0.76687 0.11614 0.76493 D. 12506 0.76276 0.13421 0.76033 0.14392 0.75760 0.57564 0.57457 0.57003 0.5649 0.55932 01.29508 0.28641 0.27698 0.76674 0.25569 60 61 62 63 6 33 34 6) 64 3 3 35 36 37 38 39 18.973 18.879 18.780 18,678 18.570 0.09653 0.10101 0.10569 0.11059 0.11571 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 0.36962 0.36915 0.36841 0.36757 65 66 67 68 69 13.550 13.256 12.95.4 12.646 12.3K 0.35477 0.36878 0.38313 0.39783 0.41285 0.15420 0.16307 0.17654 0.18863 0.2013 0.75455 0.7511 0.74732 0.74305 0.73828 035305 0.54609 0.53836 052981 0.52036 0.24381 0.23112 021764 0.30343 0.18856 67 68 Ja 54 41 42 18.458 18.340 18.218 18.090 OL 12 0.12.106 0.12665 0.13249 0.13859 0.14496 0.00347 0.025% 0.02741 0.02963 0.03203 0.78113 0.78034 0.78072 078048 0.78021 0.60920 0.60829 0.60832 0.60780 1.60721 0.3666) 0.36558 0.36440 0.3617 0.36159 Et . 72 73 74 12.018 11.680 11.347 I 2008 10.665 0.42818 0.44379 045968 0.47580 0.49215 0.21467 0.22861 0.34324 0.25847 0.27433 0.73295 0.72701 0.72039 0.71303 0.70481 0.50994 0.498.48 0.18590 0.47215 0.45715 0.17313 0.15730 0.14122 0.12511 0.10918 70 71 72 73 24 44 17956 0.4085 45 46 47 17.816 17.671 17519 17.361 17.196 0.15101 0.15854 0.16577 0.17330 0.18114 0.03463 0.03744 0.04047 0.04374 0.04727 0.77991 0.77956 0.77918 0.77875 0.77827 0.80635 0.60581 0.60498 0.60404 0.60299 0.35994 0.35809 0.35601 0.35370 45 10 HT ta 45 75 76 77 78 79 B0 10318 9.967 9.614 9.260 8.904 RESUR 0.50R68 0.52536 D.SIZIJ 0.55900 0.5759 0.39293 0.39079 0.30783 0.32544 0.1359 0.3672 0.3834 0.69574 0.68566 0.67450 0.66212 0.018 063305 0 LEOPO 0.09368 0.07887 0.06100 0.052.30 0.01096 0.03113 75 76 77 79 29 48 79 ZTISCO 0136235 033952