Asume you want you to another 1.000 A when you wewe 50.000 per year for swimmo Cacheco weet nec the control BO Requirement. How much dot pocket cash will you under the com Chow much does you are ol Requirements 1. How much out-of-pocket cash will you invest under the two options? 2. How much savings will you have accumulated at age 52 under the two options? 3. Explain the results 4. If you let the savings continue to grow for ten more years with no further out-of-pocket investments) under each scenario what will the investment be worth when you are age 62? Print Done Future Value of Annuity of $1 Periods 1% 2% 3% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 1000 1.000 1.000 1.000 1.000 1.000 1000 1.000 1.000 1.000 1000 1 000 1.000 Period 2 2010 2020 2030 2.040 2050 2060 2080 2100 2.120 2.140 2160 2.180 2 200 Period 3 3.030 3060 3.091 3122 3.153 3.184 3246 3310 3.374 3.440 3.506 3.572 3.640 Period 4 4.060 4.122 4.184 4 246 4.310 4 375 4.508 4.641 4779 4921 5.066 5 215 5.368 Period 5 5.101 5204 5 309 5 416 5.526 5.637 5.887 6 105 6353 6.610 6.877 7 154 7.442 Period 6 6.152 8.308 6468 6.633 6 802 6.975 7.336 7.716 8.115 8,536 8977 9442 9930 Period 7 7214 7434 7662 7 898 8.142 8 394 8923 9.487 10 089 10 730 11.414 12 142 12916 Period 8 8.286 8.583 8.892 9214 9.549 9.897 10.637 11 438 12 300 13.233 14 240 15.327 16 499 Period 9 9.369 9.755 10.159 10.583 11.027 11491 12 489 13.579 14778 16 085 17 519 19086 20.799 Period 10 10.462 10.950 11 464 12 006 12578 13.181 14.48715 93717 549 19 337 21.321 23.521 25959 Period 11 11 587 12:169 12 808 13.488 14 207 14 972 16.845 18.531 20.655 23.045 25.733 28.755 32 150 Period 12 12.683 13.412 14 192 15.028 15 917 16.870 18 977 21 384 24 133 27 271 30.850 34931 39 581 Period 13 13.809 14.68015618 16.62717 713 18.882 21.495 2452328.029 32089 36.786 42219 48.497 Period 14 14 947 15 97417 086 18 29219 599 21 015 24 215 27 975 32393 37 581 43. 672 50.818 59.198 Period 15 16 097 17 293185902002421 579 23 278 27 152 31 772 37 280 43.842 51 680 60 985 72 035 Period 20 22019 24 297 28 870 29 778 33,066 36786 45.782 57.275 72.052 91 025 115 380 148 628 186.688 Period 25 28 243 3203036459 41 646 47.727 54,865 73.10898 347 133 334 181871 249 214 342 603 471 981 Period 30 34.785 40.568 47 575 56 085 68.439 79 058 113 283 164 494 241 333 356.787 530.312 790 948 1.181 882 Period 40 48 88560.40275 40195 028 | 120.800 154 782 259 057 442 593 767 091 1342 0252.380 757 4.163 213 7343 858 Present Value of Annuity of $1 18% Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 20% Period 1 0.990 0.980 0,971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 Period 2 1.970 1.942 1.9131886 1.859 1.833 1783 1.736 1.690 1.647 1.605 1.566 1.528 Period 3 2.941 2884 2.8292775 2.723 2.673 2.577 2.487 2.402 2322 2 246 2. 174 2.106 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 2690 2.589 Period 5 4853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 Period 6 5.795 5601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 Period 7 6.728 6.472 6.230 6.0025.786 5.582 5.206 4.868 4.564 4.288 4 039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 Period 9 8.566 8.1627.7867.435 7.108 6.802 6 247 5.759 5.328 4.946 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.111 77227.360 6.710 6.14 5.650 5.216 4.833 4.494 4.192 Period 11 10.3689.787 9.2538.760 8.306 7 887 7139 6.495 5938 5.4535.029 4.656 4.327 Period 12 11 255 10.575 9.954 9.385 8.8638.384 7.536 6.8146.194 5,660 5.197 4.793 4.439 Period 13 12.134 11 348 10.635 9988 9.3948.853 7.904 7 1036 424 5.842 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.24473676.628 6 002 5.468 5.008 4.611 Period 15 13.865 12 849 11.938 11.11810.380 9.712 8.559 7 606 6.811 6.142 5.575 5.092 4.675 Period 20 18.046 | 16.351 14.877 13.590 12.462 11.4709818 8.514 7 469 6.623 5929 5.353 4.870 Period 25 22.023 19.523 17413 15.622 14.09412.783 10.675 9077 7.843 6.873 6.097 5.467 4.948 Period 30 25.808 22396 19 600 17.292 15:372 13.765 11.258 9 427 8.055 7.003 8.177 5.517 4.979 Period 40 32 835 27 355 23 115 19.793 17 159 15.046 11 925 9.779 8.244 7.105 6.233 5.548 4.997 Future Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 1% 1.010 1 020 1.030 1.041 1.051 2% 1.020 1040 1.061 1.082 1.104 3% 1.030 1.061 1.093 1.126 1.159 4% 1.040 1.082 1 125 1170 1.217 5% 1.050 1.103 1.158 1216 1.276 6% 1.060 1 124 1 191 1 262 1.338 8% 1.080 1.166 1.260 1 360 10% 1.100 1210 1331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 1.140 1.300 1.482 1.689 1925 16% 1.160 1.346 1.561 1.811 2.100 18% 1 180 1.392 1.643 1.939 2.288 20% 1 200 1.440 1.728 2.074 2488 1.469 1.062 1.072 1.083 1 094 1.105 1.126 1.149 1.172 1.195 1.219 1 265 1.316 1.369 1.423 1.480 1.340 1.407 1.477 1.551 1.629 1.419 1 504 1594 1.689 1.791 1.587 1.714 1 851 1 999 2.159 1.772 1949 2144 2358 2 594 1974 2211 2.476 2.773 3 106 2.195 2.502 2.853 3.252 3.707 2.436 2.826 3278 3.803 4.411 2.700 3.185 3.759 4.435 5.234 2.986 3.583 4.300 5.160 6.192 Period 11 Period 12 Period 13 Period 14 Period 15 1.116 1.127 1.138 1 149 1 161 3.896 1.194 1 230 1 267 1305 1 344 1.384 1.426 1.469 1.513 1558 1.806 2094 2427 3.262 1 243 1.268 1 294 1.319 1.346 1.539 1 601 1.665 1.732 1 801 1710 1898 2332 2.853 3.479 4.226 5.117 6 176 7430 1.796 2.012 2518 3.138 4 818 5.936 7.288 8.916 1.888 2.133 2.720 3.452 4 363 5 492 6 886 8.599 10.699 1980 2 281 2.937 3.797 4.887 6.261 7.988 10.147 12.839 2.079 2397 3.172 4 177 5.474 7.138 9.266 11.974 15.407 2653 3.207 4,881 6.727 9.846 13.743 19.461 27 393 38 338 3.386 4.292 6.848 10.835 17 000 28 482 40 87462 889 95 396 4.322 5.743 10.063 17 449 29.960 50.950 85.850 143371 237 378 7040 10 286 21725 45 259 93.051 188.884378.721750 3781,489.772 Period 20 period 25 Period 30 Period 40 1.220 1 282 1 348 1.489 1.488 1.641 1 811 2.208 2 191 2.666 3.243 4801 Present Value of $1 inde ne tw Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.9090.893 0.877 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797 0.769 0.743 0.718 0.694 Period 3 0971 0.942 0.915 0.889 0.864 0.840 0.794 0.751 0.712 0.675 0.641 0.6090.579 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.476 0.437 0.402 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.630 0.564 0.507 0.456 0410 0.370 0.335 Period 7 0.933 0.871 0.813 0.760 0711 0.665 0.583 0.513 0.452 0.400 0.354 0314 0.279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 0.467 0.404 0.351 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0 500 0.424 0.361 0.308 0.263 0.2250 194 Period 10 0.905 0.820 0.7440.676 0614 0.5580 463 0.386 0.322 0.270 0.227 0.1910.162 Period 11 0.896 0.804 07220 650 0.5850 527 0429 0.350 0.287 0237 0.195 0 162 0.135 Period 12 0.887 0.788 0.701 0 825 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.137 0.112 Period 13 0879 0.773 0681 0 601 0530 0.469 0.368 0.290 0.229 0 1820.145 0.116 0.093 Period 14 0.870 0.758 0.661 0577 0.505 0.442 0.340 0.263 0.205 0.160 0.125 0 099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 Period 20 0.820 0.673 0.5540.456 0.377 0.312 0.215 0.149 0.104 0.073 0.051 0.037 0.026 Period 25 0.780 0.610 0.478 0.375 0295 0233 0.148 0.092 0.059 0.038 0.024 0016 0.010 Period 30 0.742 0.552 0412 0.308 0.231 0.1740099 0.057 0.033 0.0200.012 0.007 0.004 Period 40 0.672 0.453 0 307 0.2080.142 0 097 0.046 0.022 0.011 0.005 0.003 0.001 0.001 Asume you want you to another 1.000 A when you wewe 50.000 per year for swimmo Cacheco weet nec the control BO Requirement. How much dot pocket cash will you under the com Chow much does you are ol Requirements 1. How much out-of-pocket cash will you invest under the two options? 2. How much savings will you have accumulated at age 52 under the two options? 3. Explain the results 4. If you let the savings continue to grow for ten more years with no further out-of-pocket investments) under each scenario what will the investment be worth when you are age 62? Print Done Future Value of Annuity of $1 Periods 1% 2% 3% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 1000 1.000 1.000 1.000 1.000 1.000 1000 1.000 1.000 1.000 1000 1 000 1.000 Period 2 2010 2020 2030 2.040 2050 2060 2080 2100 2.120 2.140 2160 2.180 2 200 Period 3 3.030 3060 3.091 3122 3.153 3.184 3246 3310 3.374 3.440 3.506 3.572 3.640 Period 4 4.060 4.122 4.184 4 246 4.310 4 375 4.508 4.641 4779 4921 5.066 5 215 5.368 Period 5 5.101 5204 5 309 5 416 5.526 5.637 5.887 6 105 6353 6.610 6.877 7 154 7.442 Period 6 6.152 8.308 6468 6.633 6 802 6.975 7.336 7.716 8.115 8,536 8977 9442 9930 Period 7 7214 7434 7662 7 898 8.142 8 394 8923 9.487 10 089 10 730 11.414 12 142 12916 Period 8 8.286 8.583 8.892 9214 9.549 9.897 10.637 11 438 12 300 13.233 14 240 15.327 16 499 Period 9 9.369 9.755 10.159 10.583 11.027 11491 12 489 13.579 14778 16 085 17 519 19086 20.799 Period 10 10.462 10.950 11 464 12 006 12578 13.181 14.48715 93717 549 19 337 21.321 23.521 25959 Period 11 11 587 12:169 12 808 13.488 14 207 14 972 16.845 18.531 20.655 23.045 25.733 28.755 32 150 Period 12 12.683 13.412 14 192 15.028 15 917 16.870 18 977 21 384 24 133 27 271 30.850 34931 39 581 Period 13 13.809 14.68015618 16.62717 713 18.882 21.495 2452328.029 32089 36.786 42219 48.497 Period 14 14 947 15 97417 086 18 29219 599 21 015 24 215 27 975 32393 37 581 43. 672 50.818 59.198 Period 15 16 097 17 293185902002421 579 23 278 27 152 31 772 37 280 43.842 51 680 60 985 72 035 Period 20 22019 24 297 28 870 29 778 33,066 36786 45.782 57.275 72.052 91 025 115 380 148 628 186.688 Period 25 28 243 3203036459 41 646 47.727 54,865 73.10898 347 133 334 181871 249 214 342 603 471 981 Period 30 34.785 40.568 47 575 56 085 68.439 79 058 113 283 164 494 241 333 356.787 530.312 790 948 1.181 882 Period 40 48 88560.40275 40195 028 | 120.800 154 782 259 057 442 593 767 091 1342 0252.380 757 4.163 213 7343 858 Present Value of Annuity of $1 18% Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 20% Period 1 0.990 0.980 0,971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 Period 2 1.970 1.942 1.9131886 1.859 1.833 1783 1.736 1.690 1.647 1.605 1.566 1.528 Period 3 2.941 2884 2.8292775 2.723 2.673 2.577 2.487 2.402 2322 2 246 2. 174 2.106 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 2690 2.589 Period 5 4853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 Period 6 5.795 5601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 Period 7 6.728 6.472 6.230 6.0025.786 5.582 5.206 4.868 4.564 4.288 4 039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 Period 9 8.566 8.1627.7867.435 7.108 6.802 6 247 5.759 5.328 4.946 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.111 77227.360 6.710 6.14 5.650 5.216 4.833 4.494 4.192 Period 11 10.3689.787 9.2538.760 8.306 7 887 7139 6.495 5938 5.4535.029 4.656 4.327 Period 12 11 255 10.575 9.954 9.385 8.8638.384 7.536 6.8146.194 5,660 5.197 4.793 4.439 Period 13 12.134 11 348 10.635 9988 9.3948.853 7.904 7 1036 424 5.842 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.24473676.628 6 002 5.468 5.008 4.611 Period 15 13.865 12 849 11.938 11.11810.380 9.712 8.559 7 606 6.811 6.142 5.575 5.092 4.675 Period 20 18.046 | 16.351 14.877 13.590 12.462 11.4709818 8.514 7 469 6.623 5929 5.353 4.870 Period 25 22.023 19.523 17413 15.622 14.09412.783 10.675 9077 7.843 6.873 6.097 5.467 4.948 Period 30 25.808 22396 19 600 17.292 15:372 13.765 11.258 9 427 8.055 7.003 8.177 5.517 4.979 Period 40 32 835 27 355 23 115 19.793 17 159 15.046 11 925 9.779 8.244 7.105 6.233 5.548 4.997 Future Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 1% 1.010 1 020 1.030 1.041 1.051 2% 1.020 1040 1.061 1.082 1.104 3% 1.030 1.061 1.093 1.126 1.159 4% 1.040 1.082 1 125 1170 1.217 5% 1.050 1.103 1.158 1216 1.276 6% 1.060 1 124 1 191 1 262 1.338 8% 1.080 1.166 1.260 1 360 10% 1.100 1210 1331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 1.140 1.300 1.482 1.689 1925 16% 1.160 1.346 1.561 1.811 2.100 18% 1 180 1.392 1.643 1.939 2.288 20% 1 200 1.440 1.728 2.074 2488 1.469 1.062 1.072 1.083 1 094 1.105 1.126 1.149 1.172 1.195 1.219 1 265 1.316 1.369 1.423 1.480 1.340 1.407 1.477 1.551 1.629 1.419 1 504 1594 1.689 1.791 1.587 1.714 1 851 1 999 2.159 1.772 1949 2144 2358 2 594 1974 2211 2.476 2.773 3 106 2.195 2.502 2.853 3.252 3.707 2.436 2.826 3278 3.803 4.411 2.700 3.185 3.759 4.435 5.234 2.986 3.583 4.300 5.160 6.192 Period 11 Period 12 Period 13 Period 14 Period 15 1.116 1.127 1.138 1 149 1 161 3.896 1.194 1 230 1 267 1305 1 344 1.384 1.426 1.469 1.513 1558 1.806 2094 2427 3.262 1 243 1.268 1 294 1.319 1.346 1.539 1 601 1.665 1.732 1 801 1710 1898 2332 2.853 3.479 4.226 5.117 6 176 7430 1.796 2.012 2518 3.138 4 818 5.936 7.288 8.916 1.888 2.133 2.720 3.452 4 363 5 492 6 886 8.599 10.699 1980 2 281 2.937 3.797 4.887 6.261 7.988 10.147 12.839 2.079 2397 3.172 4 177 5.474 7.138 9.266 11.974 15.407 2653 3.207 4,881 6.727 9.846 13.743 19.461 27 393 38 338 3.386 4.292 6.848 10.835 17 000 28 482 40 87462 889 95 396 4.322 5.743 10.063 17 449 29.960 50.950 85.850 143371 237 378 7040 10 286 21725 45 259 93.051 188.884378.721750 3781,489.772 Period 20 period 25 Period 30 Period 40 1.220 1 282 1 348 1.489 1.488 1.641 1 811 2.208 2 191 2.666 3.243 4801 Present Value of $1 inde ne tw Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.9090.893 0.877 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797 0.769 0.743 0.718 0.694 Period 3 0971 0.942 0.915 0.889 0.864 0.840 0.794 0.751 0.712 0.675 0.641 0.6090.579 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.476 0.437 0.402 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.630 0.564 0.507 0.456 0410 0.370 0.335 Period 7 0.933 0.871 0.813 0.760 0711 0.665 0.583 0.513 0.452 0.400 0.354 0314 0.279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 0.467 0.404 0.351 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0 500 0.424 0.361 0.308 0.263 0.2250 194 Period 10 0.905 0.820 0.7440.676 0614 0.5580 463 0.386 0.322 0.270 0.227 0.1910.162 Period 11 0.896 0.804 07220 650 0.5850 527 0429 0.350 0.287 0237 0.195 0 162 0.135 Period 12 0.887 0.788 0.701 0 825 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.137 0.112 Period 13 0879 0.773 0681 0 601 0530 0.469 0.368 0.290 0.229 0 1820.145 0.116 0.093 Period 14 0.870 0.758 0.661 0577 0.505 0.442 0.340 0.263 0.205 0.160 0.125 0 099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 Period 20 0.820 0.673 0.5540.456 0.377 0.312 0.215 0.149 0.104 0.073 0.051 0.037 0.026 Period 25 0.780 0.610 0.478 0.375 0295 0233 0.148 0.092 0.059 0.038 0.024 0016 0.010 Period 30 0.742 0.552 0412 0.308 0.231 0.1740099 0.057 0.033 0.0200.012 0.007 0.004 Period 40 0.672 0.453 0 307 0.2080.142 0 097 0.046 0.022 0.011 0.005 0.003 0.001 0.001
