Sylvia wants to take the next five years off work to travel around the world. She estimates her annual cash needs at $26,000 (if she needs more, she will work odd jobs). Sylvia believes she can invest her savings at 12% until she depletes her funds. (Click the icon to view Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of $1 table.) (Click the icon to view Future Value of $1 table.) (Click the icon to view Future Value of Ordinary Annuity of $1 table.) Read the requirements. Requirement 1. How much money does Sylvia need now to fund her travels? (Round your answer to the nearest whole dollar.) With the 12% interest rate, Sylvia needsX Requirements 1. How much money does Sylvia need now to fund her travels? 2. After speaking with a number of banks, Sylvia learns she will only be able to invest her funds at 6%. How much does she need now to fund her travels?Reference Present Value of $1 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% Periods 1% 2% 3% 4% 1.990 0.980 |0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 Period 1 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 |0.579 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0 681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 Period 7 0.933 0.871 |0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.305 0.266 0.233 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.404 0.351 0.327 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 |0.424 0.361 0.308 0.284 0.263 0.225 0.194 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 Period 10 Period 11 |0.896 0.804 |0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 Period 14 0.870 0.758 |0.661 0.577 0.505 0.442 0.388 0.340 0.299 | 0.263 0.205 0.160 0.141 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 | 0.218 0.163 0.123 0.107 0.093 0.071 0.054 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 Period 18 0.836 0.700 |0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 |0.164 0.116 0.083 0.070 0.060 0.043 0.031 Period 20 0.820 0.673 |0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 Period 21 0.811 0.660 |0.538 0.439 0.359 0.294 0.242 0.199 0.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.083 0.056 0.046 0.038 0.026 0.018 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.074 0 049 0.040 0.033 0.022 0.015 Period 23 0.795 0.634 0.507 Period 24 0.788 0.622 0.492 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.066 0.043 0.035 0.028 0.019 0.013 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.059 0.038 0.030 0.024 0.016 0.010 Period 26 0.772 0.598 0.464 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.053 0.033 0.026 0.021 0.014 0.009 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.047 0.029 0.023 0.018 0.011 0.007 0.757 0.574 0.437 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.042 0.026 0.020 0.016 0.010 0.006 Period 28 |0.424 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 Period 29 0.749 0.563 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.033 0.020 0.015 0.012 0.007 0.004 Period 40 0.672 0.453 |0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.011 0.005 0.004 0.003 0.001 0.001 Period 50 0.608 0.372 0.228 0.141 0.087 0.054 0.034 0.021 0.013 0.009 0.003 0.001 0.001 0.001Reference Future Value of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% Period 1 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.120 1.140 1.150 Period 2 1.020 1.040 1.06 1.082 .103 1.124 1.145 1.166 1.188 1.210 1.254 1.30 1.323 Period 3 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.260 1.295 1.331 1.405 1.482 1.521 Period 4 1.04 1.082 1.126 1.170 1.216 1.262 1.311 1.360 1.412 1.464 1.574 1.689 1.749 Period 5 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.762 1.925 2.011 Period 6 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.974 2.195 2.313 Period 7 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.714 1.828 1.949 2.211 2.502 2.660 Period 8 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.851 1.993 2.144 2476 2.853 3.059 Period 9 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.999 2.172 2.358 2.773 3.252 3.518 Period 10 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 3.106 3.707 4.046 Period 11 1.116 1.243 1.384 1.539 1.710 1.898 2 105 2.332 2.580 2.853 3.479 4.226 4.652 Period 12 1.127 1.268 1.426 1.601 1.796 2012 2 252 2.518 2.813 3.138 3.896 4.818 5.350 Period 13 1.138 1.294 1.469 1.665 1.886 2133 2410 2.720 3.066 3.452 4.363 5.492 6.153 Period 14 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.798 4.887 6.261 7.076 Period 15 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 3.642 4.177 5.474 7.138 8.137 Period 16 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4.595 6.130 8.137 9.358 Period 17 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 6.866 9.276 10.76 Period 18 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 4.717 5.560 7.690 10.58 12.38 Period 19 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 5.142 6.116 8.613 12.0 14.23 Period 20 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 5.604 6.727 9.646 13.74 16.37 Period 21 1.232 1.516 1.860 2.279 2.786 3.400 4.141 5.034 6.109 7.400 10.80 15.67 18.82 Period 22 1.245 1.546 1.916 2.370 2.925 3.604 4.430 5.437 6.659 8.140 12.10 17.86 21.64 Period 23 1.257 1.577 1.974 2.465 3.072 3.820 4.741 5.871 7.258 8.954 13.55 20.36 24.89 Period 24 1.270 1.608 2033 2.563 3.225 4.049 5.072 6.341 7.911 9.850 15.18 23.21 28.63 Period 25 1.282 1.641 2 094 2.666 3.386 4.292 5.427 6.848 8.623 10.83 17.00 26.46 32.92 Period 26 1.29 1.673 2.157 2.772 3.556 4.549 5.807 7.396 9.399 11.92 19.04 30.17 37.86 Period 27 .308 1.707 2 221 2.883 3.733 4.822 6.214 7.988 10.25 13.11 21.32 34.39 43.54 Period 28 1.321 1.741 2 288 2.999 3.920 5.112 6.649 8.627 11.17 14.42 23.88 39.20 50.07 Period 29 1.335 1.776 2.357 3.119 4.116 5.418 7.114 9.317 12.17 15.86 26.75 44.69 57.58 Period 30 1.34 1.811 2.427 3.243 4.322 5.743 7.612 10.06 13.27 17.45 29.96 50.95 66.21 Period 40 1.489 2.208 3.262 4.801 7.040 10.29 14.97 21.72 31.41 |45.26 93.05 188.9 267.9 Period 50 1.645 2.692 4.384 7.107 11.47 18.42 29.46 46.90 74.36 117.4 289.0 700.2 1,084Reference Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 1.528 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.626 1.605 1.566 2.106 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.283 2.246 2.174 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 | 3.240 3.170 3.037 2.914 2 855 2.798 2.690 2.589 Period 5 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.889 3.784 3.685 3.498 3.326 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.28 4.160 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 4.344 4.078 3.837 Period 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 5.216 5.019 4.494 Period 10 4.192 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.650 4.833 Period 11 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4.327 10.368 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.421 5.197 4.793 4.439 Period 12 11.255 10.575 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 |7.487 7.103 6.424 5.842 5.583 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 5.724 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 5.575 5.092 4.675 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.974 6.265 5.954 5.669 5.162 4.730 5.222 4.775 Period 17 15.562 14.292 13.166 12 166 11.274 10.477 9.763 9.122 8.544 8.022 7.120 6.373 6.047 5.749 Period 18 16.398 |14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.250 5.467 6.128 5.818 5.273 4.812 Period 19 17.226 15.678 14 324 13.134 12 085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 6.198 5.877 5.316 4.844 18.046 16.351 14.877 13.590 12 462 11.470 10.594 9.818 |9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 20 Period 21 18.857 17.011 15.415 14.029 9 12 821 11.764 10.836 10.017 9.292 8.649 7.562 6.687 6.312 5.973 5.384 4.891 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442 8.772 7.645 6.743 6.359 6.011 5.410 4.909 Period 22 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 210.371 9.580 8.883 7.718 6.792 6.399 6.044 5.432 4.925 Period 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 7.784 6.835 6.434 6.073 5.451 4.937 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 7.843 6.873 6.464 6.097 5.467 4.948 22.795 20.121 9.161 7.896 6.491 5.480 4.956 Period 26 1 17 877 15.983 14.375 13.003 11.826 10.810 9.929 6.906 6.118 5.492 4.964 Period 27 23.560 20.707 718.327 16.330 14.643 13.211 11.987 10.935 10.027 9.237 7.943 6.935 6.514 6.136 Period 28 24.316 21.281 18.764 16.663 14.898 13.406 12.137 11.051 10.116 9.307 7.984 6.961 6.534 6.152 5.502 4.970 Period 29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.022 6.983 6.551 6.166 5.510 4.975 25.808 22.396 19.600 17 292 15.372 13.765 12.409 9 11 258 10.274 9.427 8.055 7.003 6.566 6.177 5.517 4.979 Period 30 Period 40 32.835 27.355 6 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.244 7.105 6.642 6.233 5.548 4.997 39.196 31.424 25.730 21.482 18.256 15.762 13.801 12.233 10.962 9.915 8.304 7.133 6.661 6.246 5.554 4.999 Period 50Reference Future Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 5% 7% 8% 9% 10% 12% 14% 15% 1.000 1.000 1.000 Period 1 .000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2010|2020 2030 2040 2.050 2.060 2.070 2.080 2090 2.100 2120 2140 2150 Period 2 Period 3 3.030 3.060 3.091 3.122 | 3.153 3.184 3.215 3.246 3.278 3.310 3.374 3.440 3.473 4.184 4.246 4.310 4.375 4.440 4.506 4.573 4.641 4.779 4.921 4.993 Period 4 4.060 4.122 6.610 6.742 Period 5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.985 6.105 6.353 Period 6 6.152 26.308 6.468 6.633 6.802 6.975 7.153 7.336 7.523 7.716 8.115 8.536 8.754 Period 7 7 214 7.434 |7.662 7.898 8.142 8.394 8.654 8.923 9.200 9.487 10.09 10.73 11.07 Period 8 8.286 8.583 8.892 9 214 9.549 9.897 10.260 10.64 11.03 11.44 12.30 13.23 13.73 16.09 16.79 Period 9 9.369 9.755 10.16 10.58 11.03 11.4 11.98 12.49 13.02 13.58 14.78 Period 10 10.46 10.95 11.46 12.01 12 58 13.18 13.82 14.49 15.19 15.94 17.55 19.34 20.30 Period 11 11.57 12.17 12 81 13.49 14.21 14.97 15.78 16.65 17.56 18.53 20.65 23.04 24.35 Period 12 12.68 13.41 14.19 15.03 15.92 16.87 17.89 18.98 20.14 21.38 24.13 27.27 29.00 Period 13 13.81 14.68 15.62 16.63 17.71 18.88 20.14 21.50 |22.95 24.52 28.03 32.09 34.35 Period 14 14.95 15.97 17.09 18.29 19.60 21.02 22.55 24.21 26.02 27.98 32.39 37.58 40.50 Period 15 16.10 17.29 18.60 20.02 21.58 23.28 25.13 27.15 29.36 31.77 37.28 43.84 47.58 17.26 18.64 20.16 21.82 23.66 25.67 27.89 30.32 33.00 35.95 42.75 50.98 55.72 Period 16 18.43 20.01 21.76 23.70 25.84 28.21 30.84 33.75 36.97 40.54 48.88 59.12 65.08 Period 17 75.84 Period 18 19.61 21.41 23.41 25.65 28.13 30.91 34.00 37.45 41.30 45.60 55.75 68.39 25.12 27.67 30.54 33.76 37.38 41.45 46.02 51.16 63.44 78.97 88.21 Period 19 20.81 22.84 91.02 102.4 Period 20 22 02 24.30 26.87 29.78 33.07 36.79 41.00 45.76 51.16 57.28 72.05 81.70 104.8 118.8 Period 21 23.24 25.78 28.68 31.97 35.72 39.99 44.87 50.42 56.76 64.00 Period 22 24.47 27.30 30.54 34.25 38.51 43.39 49.01 55.46 62.87 71.40 92.50 120.4 137.6 Period 23 25.72 |28.85 32.45 36.62 41.43 47.00 53.44 60.89 69.53 79.54 104.6 138.3 159.3 Period 24 26.97 30.42 34.43 39.08 44.50 50.82 58.18 66.76 76.79 88.50 118.2 158.7 184.2 133.3 181.9 212.8 Period 25 28.24 32.03 36.46 41.65 47.73 54.86 63.25 73.11 84.70 98.35 Period 26 29.53 33.67 |38.55 44.31 51.11 59.16 68.68 79.95 93.32 109.2 150.3 208.3 245.7 Period 27 30.82 35.34 40.71 47.08 54.67 63.71 74.48 87.35 102.7 121.1 169.4 238.5 283.6 Period 28 32.13 37.05 42.93 49.97 58.40 68.53 80.70 95.34 113.0 134.2 190.7 272.9 327.1 Period 29 83.45 38.79 45.22 52.97 62.32 73.64 87.35 104.0 124.1 148.6 214.6 312.1 377.2 434.7 Period 30 34.78 40.57 47.58 56.08 66.44 79.06 94 46 113.3 136.3 164.5 241.3 356.8 Period 40 48.89 60.40 | 75.40 95.03 120.8 154.8 199.6 259.1 337.9 442.6 |767.1 1,342 1,779 112.8 209.3 406.5 573.8 815.1 1,164 2,400 4,995 Period 50 64.46 84.58 152.7 290.3 7,218