Question
Angela wants to take the next six years off work to travel around the world. She estimates her annual cash needs at $27,000 (if she
Angela
wants to take the next
six
years off work to travel around the world. She estimates her annual cash needs at
$27,000
(if she needs more, she will work odd jobs).
Angela
believes she can invest her savings at
12 %
until she depletes her funds
Requirements
1. | How much money does Angela need now to fund her travels? |
2. | After speaking with a number of banks, Angela learns she will only be able to invest her funds at6 %. How much does she need now to fund her travels? |
Requirement 1. How much money does
Angela
need now to fund her travels? (Round your answer to the nearest whole dollar.)
With the 12% interest rate, Angela needs $ |
Present Value of $1 | ||||||||||||||||
Periods | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 12% | 14% | 15% | 16% | 18% | 20% |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 | 0.305 | 0.266 | 0.233 |
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 |
10 | 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 |
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 |
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 |
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 |
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 |
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 |
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