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 $1.06 million. The State Lottery Commission indicated that Mr. Ormsby will receive his prize in 20 annual installments of $53,000 each. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required:1. If Mr. Ormsby can invest money at a 10% rate of return, what is the present value of his winnings? (Enter your answer in dollars and not in millions of dollars.) EXHIBIT 12B-1Present Value of $1; 1 (1+r) n7%9%23%Periods124% 25%0.820 0.813 0.806 | 0.8000.672 0.661 0.650 | 0.6404%5%6%8%10%11%12%13%14%15%16%17%18%19%20%0.840 | 0.833 | 0.82621%22%0.962 0.952 0.943 0.935 0.926 0.917| 0.909 0.901 | 0.893 0.885 0.877 0.870 0.862 0.8550.9250.8470.718 0.706 0.694 0.6830.609 0.593 0.579 0.564 0.551 | 0.537 0.524 0.5120.516 0.499 0.482 0.467 0.451 0.437 0.423 0.4100.9070.890 0.873 0.857 0.842 0.826 | 0.812 0.797 0.783 0.769 0.756 0.743 0.7310.889 0.864 0.840 0.816 0.794 |0.772 0.751 0.731| 0.712 | 0.693 0.675 | 0.658 | 0.641 | 0.6240.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 | 0.613 0.592 0.572 | 0.552 0.5340.822 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 |0.3860.790 0.746 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 0.2620.760 0.711 0.665 | 0.623 0.583 0.547 0.513 0.482 | 0.452 0.425 0.400 0.376 0.354 0.3330.731 0.677 0.627 |0.582 0.540 0.502 0.4670.703 0.645 0.592 | 0.544 0.500 | 0.460 | 0.424 0.391 | 0.361 | 0.333 0.308 | 0.284 0.263 0.2430.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 | 0.322 0.295 0.270 0.247 0.227 0.2080.650 0.585 0.527 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 0.0860.625 0.557 0.497 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 0.0690.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 | 0.229 0.2040.577 0.505 0.442 0.388 0.340 0.299 | 0.263 | 0.232 | 0.205 0.1810.555 0.481 0.417 0.362 0.315 0275 0.239 0.209 0.183 0.160 0.140 0.123 0.108 | 0.0950.534 |0.458 0.394 0.339 0.292 |0.252 0.218 | 0.188 0.163 | 0.141 | 0.123 | 0.107 | 0.0930.513 0.436 0.371 0.317 0.270 0.231 0.198 | 0.170 0.146 0.125 0.108 | 0.093 0.080 0.0690.494 0.416 0.350 0.296 0.250 0212 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 0.0180.475 0.396 0.331 |0.277 0.232 0.194 0.164 0.138 0.116 | 0.0980.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 | 0.051 | 0.0430.439 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 0.0090.422 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 0.0070.406 0.326 0.262 | 0211| 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 0.0060.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 | 0.066 0.053 0.043 0.035 0.028 0.0230.375 0.295 0.233 0.184 0.146 | 0.116 0.092 0.074 0.059 0.0470.361 |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 0.0030.347 0.268 0.207 |0.161 | 0.125 0.098 0.076 | 0.0600.333 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 0.0080.321 0.243 0.185 0.141 0.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 | 0.0110.308 0.231 | 0.174 0.131 | 0.099 0.075 0.057 0.044 0.033 0.026 0.020 | 0.015 | 0.012 | 0.0090.208 0.142 0.097 0.067 0.046 |0.032 0.022 | 0.015 0.011 | 0.008 0.005 | 0.004 | 0.003 0.0023450.370 0.355 0.341 | 0.32860.314 0.296 0.279 | 0.263 0.249 |0.235 0.222 | 0.2100.266 0.249 0.233 0.218 0.204 |0.191 0.179 0.1680.225 | 0.209 0.194 0.180 0.1670.191 0.176 0.162 0.149 0.137 | 0.126 0.116 | 0.1070.434 | 0.404 | 0.376 |0.351 | 0.327 | 0.305 0.28590.155 0.144 0.1341011120.182 0.163 0.145 0.1300.160 0.141 0.1250.116 0.104 0.0930.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044130.0840.0750.068 0.061| 0.055140.1110.074 | 0.065 | 0.057 | 0.051 | 0.045 | 0.040 | 0.0350.042 0.036 0.032 0.028150.0840.071 0.062 0.054 0.0470.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023160.08117180.043 0.037 0.031 0.0270.037 0.031 0.026 0.022 0.019 | 0.016 0.014 0.012190.083 0.070 0.0600.0510.0230.020 0.017 0.014202122230.019 0.015 0.013 0.010 0.008 0.007 0.006 0.0050.016 0.013 0.010 0.009 0.007 0.006 0.005 0.00424250.038 0.030 0.024 | 0.020260.047 | 0.0370.029 | 0.023 | 0.018 | 0.0140.007 | 0.0060.0060.0050.004 0.003 0.0020.002 0.002270.0110.009280.0050.004 | 0.0030.008 0.006 0.005 0.004 0.003 |0.002 0.002 0.0020.007 | 0.005 0.004 |0.0030.001 0.001 | 0.001 0.000 0.000 0.000 0.000 0.00029300.003 0.002 0.002 0.00140 EXHIBIT 12B-2Present Value of an Annuity of $l in Arrears; 1/r(1-(1/(1+1)'n))Periods10%8%0.9261.808 | 1.7837%0.93525%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 0.8001.605 | 1.585 1.566 | 1.547 1.528 | 1.509 1.492 | 1.474 | 1.457| 1.4404%11%21%6%0.952 0.9435%9%12%13%14%15%16%17%18%19%20%22%23%24%10.9620.9171.886 1.8592.775 | 2.723 | 2.673 2.624 2.577 2.531 2.487 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 | 1.9523.630 3.546 3.465| 3.387 | 3.312 3.240 | 3.170 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 2.3624.4525.242 5.076 4.9176.002 5.786 | 5.582 | 5.389 5.206 5.033 4.868 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 3.1616.733 6.463 6.210 5.971 | 5.747 5.535 | 5.335 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 3.3297.435 7.1088.1118.760 8.306 7.887 7.499| 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 3.6569.3859.986| 9.394 8.83310.563 9.899 9.29511.118 10.380 9.71211.652 10.838 10.106 9.447 8.851 8.313 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 3.88721.8331.759| 1.736 1.713 | 1.690 1.6681.647 | 1.626344.100 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 2.6894.767 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 | 2.9514.3294.2126.76.247 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 3.4637.024 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 | 3.5716.8026.515107.7227.360118.863 8.3847.943 | 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 | 3.7258.358 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 | 3.7808.745 8.244 7.786| 7.367 6.982 | 6.628 6.302 6.002 5.724 5.468 | 5.229 5.008 4.802 4.6119.108 8.559 8.06112134.432 4.265 4.108 | 3.962 3.8247.606 | 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 | 3.8591415161712.166 11.274 10.477 9.7639.122 8.544 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 3.9101812.659 11.690 10.828 10.059 9.372 | 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 3.92813.134 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| 3.94213.590 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 3.95414.029 12.821 11.764 10.836 10.017 9.292 8.649 8.07514.451 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 3.97014.857 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 3.97615.247 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 | 3.98115.622 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 3.98515.983 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 | 3.98816.330 14.643 13.211 11.987 10.935 10.027 9.237 | 8.548|16.663 14.89813.406 12.137 11.051 10.116 9.307 8.602 7.984 | 7.44116.984 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 3.9991920217.562 7.102 6.687 | 6.312 | 5.973 5.665 5.384 5.127 | 4.891 | 4.675 | 4.476 4.292 4.121 3.96322232425267.943 7.409 6.935 | 6.514 | 6.136 5.798 5.492 5.215 | 4.964 | 4.734 | 4.524 4.332 | 4.154 | 3.9906.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 | 4.528 4.335 4.157 3.9922728293040

Present Value = Annual Installment received * PVIF( r, n) = 53,000 * PVAF( 10%, 20) ( from annuity…

1.886 1.859 1.833 | 1.808 | 1.783 | 1.759| 1.736 1.713 1.690 1.668 | 1.647 1.626 1.6051.585 1.566 | 1.547 | 1.528 | 1.509 1.492 | 1.474 | 1.457| 1.440 3 2.775 2.723 | 2.673| 2.624 | 2.577 | 2.531 | 2.487 | 2.444 | 2.402 | 2.361 | 2.322 2.283 | 2.246 |2.210 | 2.174 | 2.140 | 2.106 2.074 | 2.042 | 2.01l | 1.981 | 1.952 3.630 3.546 3.465 3.387| 3.312 3.240| 3.170 3.102 3.037 2.9742.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362 4.452 4.329 4.212 5.242 5.0764.917 4.767 4.623 | 4.486 4 4.100 3.993 3.890 3.791 3.696 3.6053.517 3.4333.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 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 6.002 5.786 3.582 5.389 5.206 5.033 4.868 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 6.733 6.463 6.210 5.971 5.747| 5.535 5.335 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 | 3.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 7. 3.905 3.7863.673 3.5663.463 10 8.111 7.722 7.360 | 7.024 6.710 6.418 | 6.145 | 5.889 5.650 5.426 5.216 5.019 4.8334.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 11 8.760 8.3067.887 7.499 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 5.1974.988 | 4.793| 4.611 | 4.439 4278 4.127 3.985 3.851 3.725 13 12 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 8.745 8.244 | 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 9.986 | 9.394 | 8.853 10.563 9.8999.295 15 14 |11.118 | 10.380 9.712 9.108 8.559 8.061 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.8764.675 4.489 4.315 4.153 4.001 3.859 16 |11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.3796.974 6.6046.265 5.954 5.668 5.405 5.162 4.9384.730 4.536 4.357 4.189 4.033 3.887 17 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.7296.373 6.047 5.749 5.475 5.222 4.9904.775 4.576 4.391 4.219 4.059 3.910 18 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.0334.812 4.608 4.419 4.243 4.080 3.928 19 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.839 7.366 6.9386.550 6.198 5.877 5.584 5.316 5.0704.843 4.635 4.442 4.263 4.097 3.942 20 13.590 12.46211.470 10.594 9.818 | 9.129 | 8.514 | 7.963| 7.469 7.025 6.623 21 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 5.1274.891 4.675 4.476 4.292 4.121 | 3.963 22 |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 5.1494.909 4.690 4.488 4.302 4.130 3.970 23 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 24 15.247 13.79912.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 6.073 3.746 5.451 5.182 4.937 4.713 4.507 4.318 | 4.143 | 3.981 25 | 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 | 3.766 5.467 | 5.195 | 4.948 | 4.721 | 4.514 | 4.323| 4.147 | 3.985 26 15.983 14.37513.003 11.826 10.810 9.929 9.161 | 8.488 7.896 7.372 6.906 6.491| 6.118 |3.783 5.480 5.206 4.956 4.728 4.520 4.328 | 4.151 | 3.988 27 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 5.2154.964 4.734 4.524 4.332 4.154 3.990 16.663 14.89813.406 12.137 11.051 10.116 9.307 8.602 7.934| 7.441 | 6.961 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 5.2354.979 4.746 4.534 4.339 4.160 3.995 40 28 6.534 6.1525.810 5.5025.223 4.970 4.739 4.528 4.335 4.157 3.992 29 30 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 5.2584.997 4.760 4.544 4.347 4.166 3.999