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Suppose you are 35 and have a $75,000 face amount, 15-year, limited-payment, participating policy (dividends will be used to build up the cash value of
Suppose you are 35 and have a $75,000 face amount, 15-year, limited-payment, participating policy (dividends will be used to build up the cash value of the policy). Your annual premium is $675. The cash value of the policy is expected to be $3,000 in 15 years. Using time value of money and assuming you could invest your money elsewhere for a 8 percent annual yield, calculate the net cost of insurance. Use Exhibit 1-B. (Do not round intermediate calculations. Round time value factor to 3 decimal places and final answer to the nearest whole number.) Net cost of insurance 9.200 Exhibit 1-8 Future value (compounded sum) of $1 paid in at the end of each period for a given number of time periods (an annuity) Period 1% 2% 3% 5% 6% 7% 8% 9% 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2.080 2.090 3 3.030 3.060 3.091| 3.122 3.153 3.184 3.215 3.246 3.278 4. 4.060 4.122 4.184 4.246 4.310 4.375 4.440 4.506 4.573 5 5.101 5.2041 5.309 5.416 5.5261 5.637 5.7511 5.867 5.9851 6 6.152 6.308 6.468 6.633 6.802 6.975 7.153 7.336 7.523 7 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.923 8 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10.637 11.028 9 9.369 9.755 10.159 10.583 11.027 11.491 11.978 12.488 13.021 10 10.462 10.950 11.464 12.006 12.578 13.181 13.816 14.487 15.193 11 11.567 12.169 12.808 13.486 14.207 14.972 15.784 16.645 17.560 12 12.683 13.412 14.192 15.026 15.917 16.870 17.888 18.977 20.141 13 13.809 14.680 15.618 16.627 17.713 18.882 20.141 21.4951 22.953 14 14.947 15.974 17.086 18.292 19.599 21.015 22.550 24.215 26.019 15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.361 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003 17 18.430 20.012 21.762 23.698 25.840 28.213 30.840 33.750 36.9741 18 19.615 21.412 23.414 25.645 28.132 30.906 33.999 37.450 41.301 19 20.8111 22.841 25.117 27.671 30.539 33.760 37.379 41.446 46.018 20 22.019 24.297 26.870 29.778 33.066 36.786 40.995 45.762 51.160 25 28.243 32.030 36.459 41.646 47.727 54.865 63.249 73.1061 84.701 30 34.785 40.568 47.575 56.085 66.439 79.058 94.461 113.283 136.308 40 48.8861 60.402 75.401 95.026 120.800 154.762 199.635 259.057 337.882 50 64.463 84.579 112.7971 152.667 209.348 290.336 406.529 573.770 815.084 10% 1.000 2.100 3.310 4.641 6.105 7.716 9.487 11.436 13.579 15.937 18.531 21.384 24.523 27.975 31.772 35.950 40.545 45.599 51.159 57.275 98.347 164.494 442.593 1163.909 11% 1.000 2.110 3.342 4.710 6.228 7.913 9.783 11.859 14.164 16.722 19.561 22.713 26.212 30.095 34.405 39.190 44.501 50.396 56.939 64.203 114.413 199.021 581.826 1668.771 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 12% 1.000 2.120 3.374 4.779 6.353 8.115 10.089 12.300 14.776 17.549 20.655 24.133 28.029 32.393 37.280 42.753 48.884 55.750 63.440 72.052 133.334 241.333 767.091 2400.018 13% 1.000 2.130 3.407 4.850 6.480 8.323 10.405 12.757 15.416 18.420 21.814 25.650 29.985 34.883 40.417 46.672 53.739 61.725 70.749 80.947 155.620 293.199 1013.704 3459.507 14% 1.000 2.140 3.440 4.921 6.6101 8.536 10.730 13.233 16.085 19.337 23.045 27.271 32.089 37.581 43.842 50.980 59.118 68.394 78.969 91.025 181.871 356.787 1342.0251 4994.521 15% 1.000 2.150 3.473 4.993 6.742 8.754 11.0671 13.727 16.786 20.304 24.349 29.002 34.352 40.505 47.580 55.717 65.075 75.836 88.212 102.444 212./93 434.745 1779.090 7217.716 16% 1.000 2.160 3.506 5.066 6.877 8.977 11.414 14.240 17.5191 21.321 25.733 30.850 36.786 43.672 51.660 60.925 71.673 84.141 98.603 115.380 249.214 530.312 2360.757 10435,649 17% 1.000 2.170 3.539 5.141 7.014 9.207 11.772 14.773 18.285 22.393 27.200 32.824 39.404 47.103 56.110 66.649 78.979 93.406 110.285 130.033 292.105 647.439 3134.522 15089.502 18% 1.000 2.180 3.5721 5.215 7.1541 9.442 12.142 15.327 19.086 23.521 28.755 34.931 42.219 50.818 60.965 72.939 87.068 103.740 123.414 146.628 342.603 790.948 4163.2131 21813.094 19% 1.000 2.190 3.606 5.291 7.297 9.683 12.523 15.902 19.923 24.709 30.404 37.180 45.244 54.841 66.261 79.850 96.022 115.266 138.166 165.418 402.042 966.712 5529.829 31515.340 20% 1.000 2.200 3.6401 5.368 7.442 9.930 12.916 16.499 20.799 25.959 32.150 39.581 48.497 59.196 72.035 87.442 105.931 128.117 154.740 186.688 471.981 1181.882 7343.858 45497.191 25% 30% 1.000 1.000 2.250 2.300 3.813 3.990 5.766 6.187 8.207 9.043 11.259 12.756 15.073 17.583 19.842 23.858 25.802 32.015 33.253 42.619 42.566 56.405 54.208 74.327 68.760 97.625 86.949 127.913 109.687 167.2861 138.109 218.4721 173.636 285.014 218.045 371.518 273.556 483.973 342.945 630.165 1054.791 2348.8031 3227.174 8729.985 30088.655 120392.883 280255.693 1659760.743
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