Periods 1% 0.990 1.970 2.941 3.902 4.853 2 3 4 5 2% 0.980 1.942 2.884 3.808 4.713 3% 0.971 1.913 2.829 3.717 4.580 4% 0.962 1.886 2.775 3.630 4.452 Present Value of Annuity of $1 5% 6% 8% 10% 0.952 0.943 0.926 0.909 1.859 1.833 1.783 1.736 2.723 2.673 2.577 2.487 3.546 3.465 3.312 3.170 4.329 4.212 3.993 3.791 12% 0.893 1.690 2.402 3.037 3.605 14% 0.877 1.647 2.322 2.914 3.433 16% 0.862 1.605 2.246 2.798 3.274 18% 0.847 1.566 2.174 2.690 3.127 20% 0.833 1.528 2.106 2.589 2.991 P 6 7 8 9 10 4.623 5.206 5.747 6.247 6.710 4.355 4.868 5.335 5.759 6.145 4.111 4.564 4.968 5.328 5.650 3.889 4.288 4.639 4.946 5.216 3.498 3.812 4.078 4.303 4.494 3.326 3.605 3.837 4.031 4.192 3 3.685 4.039 4.344 4.607 4.833 5.029 5.197 5.342 5.468 5.575 ir trav 5.795 5.601 5.417 5.242 5.076 4.917 6.728 6.472 6.230 6.002 5.786 5.582 7.652 7.325 7.020 6.733 6.463 6.210 8.566 8.162 7.786 7.435 7.108 6.802 9.471 8.983 8.530 8.111 7.722 7.360 10.368 9.787 9.253 8.760 8.306 7.887 11.255 10.575 9.954 9.385 8.863 8.384 12.13411.348 10.6359.986 9.394 8.853 13.004 12.106 11.296 10.563 9.899 9.295 13.865 12.849 11.938 11.11810.380 9.712 18.046 16.351 14.877 13.590 12.462 11.470 S 11 12 13 14 15 dolla 7.139 7.536 7.904 8.244 8.559 6.495 6.814 7.103 7.367 7.606 5.938 6.194 6.424 6.628 6.811 5.453 5.660 5.842 6.002 6.142 4.656 4.793 4.910 5.008 5.092 4.327 4.439 4.533 4.611 4.675 el 20 9.818 8.514 7.469 6.623 5.929 5.353 4.870 Present Value of $1 Periods 2 3 4 1% 0.990 0.980 0.971 0.961 0.951 2% 3% 0.980 0.971 0.961 0.943 0.942 0.915 0.924 0.888 0.906 0.863 4% 0.962 0.925 0.889 0.855 0.822 5% 0.952 0.907 0.864 0.823 0.784 6% 0.943 0.890 0.840 0.792 0.747 8% 0.926 0.857 0.794 0.735 0.681 10% 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 12% 0.893 0.797 0.712 0.636 0.567 14% 0.877 0.769 0.675 0.592 0.519 16% 0.862 0.743 0.641 0.552 0.476 18% 0.847 0.718 0.609 0.516 0.437 0.370 0.314 0.266 0.225 0.191 20% 0.833 0.694 0.579 0.482 0.402 6 7 8 9 10 0.942 0.933 0.923 0.914 0.905 0.888 0.871 0.853 0.837 0.820 0.837 0.813 0.789 0.766 0.744 0.790 0.760 0.731 0.703 0.676 0.746 0.711 0.677 0.645 0.614 0.705 0.665 0.627 0.592 0.558 0.630 0.583 0.540 0.500 0463 0.456 0.400 0.351 0.308 0.270 0.410 0.354 0.305 0.263 0.227 0.335 0.279 0.233 0.194 0.162 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 11 12 13 14 15 0.896 0.887 0.879 0.870 0.861 0.804 0.788 0.773 0.758 0.743 0.722 0.701 0.681 0.661 0.642 0.650 0.625 0.601 0.577 0.555 0.585 0.557 0.530 0.505 0.481 0.527 0.497 0.469 0.442 0.417 0.429 0.397 0.368 0.340 0.315 0.350 0.319 0.290 0.263 0.239 0.237 0.208 0.182 0.160 0.140 0.195 0.168 0.145 0.125 0.108 0.162 0.137 0.116 0.099 0.084 0.135 0.112 0.093 0.078 0.065 0.026 a 20 0.820 0.673 0.554 0.456 0.377 0.312 0.215 0.149 0.104 0.073 0.051 0.037 Periods 4% 1.000 1.000 2 2% 1.000 2.020 3.060 4.122 5.204 3% 1.000 2030 3.091 4.184 5.309 1.000 2010 3.030 4.050 5.101 2040 12% 1.000 2.120 3.374 4.779 6.353 14% 1.000 2.140 3.440 4.921 6.610 16% 1.000 2.160 3.506 5.066 6.877 18% 1.000 2.180 3.572 5.215 7.154 20% 1.000 2200 3640 5368 7.442 4 5 e 89 6 7 8 9 10 11 12 13 14 15 6.152 7214 8.286 9.369 10.462 11.567 12683 13.809 14.947 16.097 22.019 70 6.308 7434 8.583 9.755 10.950 12 169 13.412 14.680 15.974 17.293 24.297 Future Value of Annuity of $1 5% 6% 8% 10% 1.000 1.000 1.000 2050 2.060 2080 2.100 3.153 3.184 3.246 3.310 4310 4.375 4506 4.641 5.526 5.637 5.867 6.105 6.802 6.975 7336 7.716 8.142 8.394 8.923 9.487 9.549 9.897 10.637 11.436 11.027 11.491 12488 13.579 12.578 13.181 14.487 15.937 14.207 14.972 16.645 18.531 15.917 16.870 18.977 21.384 17.713 18.882 21.495 24,523 19.599 21.015 24215 27.975 21.579 23.276 27.152 31.772 33.066 36.786 45.762 57.275 3.122 4.246 5.416 6633 7898 9.214 10.583 12.008 13.486 15.026 16.627 18.292 20.024 29.778 6.463 7.662 8.892 10.159 11464 12.808 14.192 15,618 17.086 18.599 26.870 8.115 10,089 12.300 14.776 17.549 20.655 24.133 28.029 32.393 37280 72.052 8.536 10.730 13.233 16.085 19.337 23.045 27.271 32,089 37.581 43.842 91.025 8.977 11414 14.240 17 519 21.321 25.733 30.850 36.786 43.872 51.660 115.380 9.442 12.142 15.327 19.086 23.521 28.755 34.931 42.219 50.818 60.965 146.628 9.930 12916 16.499 20.799 25 959 32.150 39.581 48.497 59.196 72.035 186.688 SS 20 Future Value of $1 t 10% Periods 12% 1.120 1254 1 v 1% 1.010 1.020 1.030 1.041 1.051 2 3 4 5 5% 1.050 1.103 1.158 1.216 1.276 1.040 1,082 1.125 1.170 1.217 6% 1.060 1.124 1.191 1.262 1.338 8% 1.080 1.168 1.260 1.360 1469 1.100 1.210 1.331 1.464 1.611 3r 16% 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2288 20% 1.200 1.440 1.728 2.074 2.488 1405 ne 14% 1.140 1.300 1.482 1.689 1.925 2.195 2.502 2.853 3.252 3.707 he 6 7 2% 1.020 1.040 1.061 1.082 1.104 1.126 1.149 1.172 1.195 1.219 1243 1.268 1.294 1.319 1.346 3% 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1267 1305 1344 1384 1426 1.469 1,513 1.558 1.806 1419 1.504 1.594 1.689 1.791 1.587 1.714 1851 1.999 2.159 1.772 1.949 2.144 2.358 2.594 2.700 3.185 3.759 4.435 6 9 10 1.062 1.072 1.083 1,094 1.105 1.116 1.127 1.138 1.149 1.161 5234 1.574 1.762 1.974 2211 2.476 2.773 3.106 3.479 3.896 4.363 4.887 5.474 9.646 mo 1.265 1.316 1.369 1423 1480 1.530 1.601 1.665 1.732 1.801 2.191 1.340 1407 1477 1551 1629 1.710 1.796 1.886 1.980 2079 2.653 11 12 13 14 15 1.898 2.012 2.133 2.261 2.397 3.207 ene 2.332 2.518 2.720 2.937 3.172 2436 2826 3.278 3803 4411 5.117 5.936 6.886 7.988 9.266 19.461 2.853 3.138 3.452 3.797 4.177 6.727 4226 4.818 5.492 6.261 7.138 13.743 2986 3.583 4,300 5.160 6.192 7430 8.916 10.699 12.839 15.407 38 338 6.176 7.288 8.599 10.147 11.974 27.390 T's 20 1.220 1486 4661 Laurel wants to take the next six years of work to travel around the world. She estimates her annual cash needs at $31,000 (if she needs more, she'll work odd jobs) Laurel believes she can investor savings at 6% until she depletes her funds (Click the icon to view the present value annuity table) (Click the icon to view the present value table.) (Click the icon to view the future value annuity table) (Click the icon to view the future value table) Requirements 1. How much money does Laurel need now to fund her travels? 2. After checking with a number of banks, Laurel leams she'll be able to invest har funds only at 4% How much does she need now to fund her travels? Requirement 1. How much money does Laurel need now to fund her travels? Calculate how much money Laurel needs now to fund her travels (Round your answers to the nearest whole dollar) With the 6% interest rate, Laurel needs $ Requirement 2. After checking with a number of banks, Laurel learns she'll be able to invest her funds only at 4%. How much does she need now to fund her travels? Calculate how much she needs to fund her travels if she didn't get the 6% interest rate she had originally planned. (Round your answers to the nearest whole dolar) With a 4% interest rate, Laurel would need $ If Laurels savings are earning a lower interest rate (4%), she'll need to save to be able to withdraw $31,000 per year