The Caldwell Herald newspaper reported the following story: Frank Ormsby of Caldwell is the state's newest millionaire. By choosing the six winning numbers on last week's state lottery, Mr. Ormsby won the week's grand prize totaling $1.1 million. The State Lottery Commission indicated that Mr. Ormsby will receive his prize in 20 annual installments of $55,000 each. Click here to view Exhibit 14B-1 and Exhibit 148-2, to determine the appropriate discount factor(s) using tables. Required: 1. If Mr. Ormsby can invest money at a 11% rate of return, what is the present value of his winnings? (Enter your answer in dollars and not in millions of dollars.) Present value EXHIBIT 14B-1 1 Present Value of $1; (1+r)" Periods 4% 1 5% 6% 0.962 0.952 0.943 2 0.925 0.907 0.890 7% 0.935 0.873 3 0.889 0.864 0.840 0.816 4 0.855 0.823 0.792 5 6 0.790 0.746 7 0.760 0.711 8 0.731 0.677 9 10 0.676 0.614 0.558 11 0.650 0.585 0.527 12 0.625 0.557 0.497 13 0.601 0.530 0.469 0415 14 0.577 0.505 0.442 15 16 17 18 19 20 21 22 23 24 25 26 28 29 0.321 0.243 0.185 0.141 0.107 0.082 0.063 30 40 0.308 0.231 0.174 0.131 0.099 0.208 0.142 0.097 0.067 0.046 0.075 0.057 0.032 | 0.022 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 0.926 | 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 | 0.826 | 0.820 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 | 0.731 0.718 0.706 0.694 0.683 0.672 0.794 | 0.772 | 0.751 0.731 | 0.712 | 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.482 0.467 0.451 0.437 0.423 0.410 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262 0.665 0.623 0.583 0.547 0.513 0.482 | 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168 0.703 0.645 0.592 0.544 0.500 0.460 0.424 | 0.391 | 0.361 | 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.149 0.137 0.126 0.116 0.107 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.123 0.112 0.103 0.094 0.086 0,444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0.069 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.014 0.012 0.439 0.359 0.294 0.242 0.199 0.164 0.135 0.112 0.093 0.077 0.064 0.053 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.038 0.032 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.006 0.005 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 27 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 0.002 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002 0.044 0.033 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 0.015 0.011 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 23% 24% 25% 0.813 0.806 0.800 0.661 0.650 0.640 EXHIBIT 14B-2 1 Present Value of an Annuity of $1 in Arrears; - (1+r)" 1 2 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 0.962 0.952 0.943 0.935 0.926 0.917 1.886 1.859 1.833 1.808 1.783 1.759 1.736 3 2.775 2.723 2.673 2.624 2.577 2.531 2.487 4 3.630 3.546 3.465 3.387 3.312 3.240 3.170 5 4.452 4.329 4.212 4.100 6 5.242 5.076 4.917 4.767 7 6.002 5.786 5.582 5.389 5.206 5.033 4.868 8 6.733 6.463 6.210 5.971 5.747 5.535 5.335 9 10 8.111 7.722 7.360 7.024 11 8.760 8.306 7.887 | 7.499 12 13 14 10.563 9.899 9.295 8.745 8.244 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 17 18 12.166 11.274 10.477 9.763 9.122 8.544 12.659 11.690 10.828 10.059 9.372 19 20 21 22 23 24 25 26 27 28 29 30 40 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1.457 | 1.440 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 3.102 3.037 2.974 2.914 2.855 | 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362 3.993 3.890 3.791 3.696 3.605 | 3.517 3.433 | 3.352 | 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 | 4.968 4.799 | 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 | 3.518 3.421 3.329 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 | 6.194 5.918 | 5.660 | 5.421 5.197 4.988 4.793 4.611 4.439 4.278 4.127 3.985 3.851 3.725 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 3.780 7.786 7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.824 7.606 | | 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189 4.033 3.887 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910 8.756 8.201 | 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 | 4.419 4.243 4.080 3.928 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 | 4.657 | 4.460 | 4.279 | 4.110 3.954 14.029 12.821 11.764 10.836 10.017 9.292 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 14.857 13.489 12.303 11.272 10.371 9.580 8.883 8.266 7.718 7.230 6.792 6.399 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 || 4.143 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 15.983 14.375 13.003 11.826 10.810 9.929 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 16.330 14.643 13.211 11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 16.663 14.898 13.406 12.137 11.051 | 10.116 9.307 8.602 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 | 4.528 | 4.335 | 4.157 3.992 16.984 15.141|13.591 12.278 11.158 10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 | 5.510 | 5.229 4.975 4.743 4.531 4.337 4.159 3.994 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 | 6.566 | 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.233 5.871 | 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 25% 3.981