Solve various time value of money scenarios. i (Click the icon to view the scenarios.) (Click the icon to view the present value factor table.) (Click the icon to view the future value factor table.) (Click the icon to view the present value annuity factor table.) (Click the icon to view the future value annuity factor table.) Scenario 1. Suppose you invest a sum of $2,500 in an interest-bearing account at the rate of 12% per year. What will the investment be worth six years from now? (Round your answer to the nearest whole dollar.) In six years the investment will be worth More info 1. Suppose you invest a sum of $2,500 in an interest-bearing account at the rate of 12% per year. What will the investment be worth six years from now? 2. How much would you need to invest now to be able to withdraw $7,000 at the end of every year for the next 20 years? Assume an 8% interest rate. 3. Assume that you want to have $150,000 saved seven years from now. If you can invest your funds at a 10% interest rate, how much do you currently need to invest? 4. Your aunt Rose plans to give you $1,500 at the end of every year for the next ten years. If you invest each of her yearly gifts at a 14% interest rate, how much will they be worth at the end of the 10-year period? 5. Suppose you want to buy a small cabin in the mountains four years from now. You estimate that the property will cost $52,000 at that time. How much money do you need to invest each year in an interest-bearing account at the rate of 8% per year to accumulate the purchase price? Print Done Reference Present Value of $1 Periods 1% 2% Period 1 0.990 3% 4% 5% 0.980 0.971 0.962 0.952 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 Period 5 0.951 Period 6 0.942 Period 7 0.933 0.906 0.863 0.822 0.784 0.747 6% 8% 10% 12% 14% 16% 0.943 0.926 0.909 0.893 0.877 0.862 0.857 0.826 0.797 0.769 0.743 0.718 0.794 0.751 0.712 0.675 0.641 0.609 0.579 0.735 0.683 0.636 0.592 0.552 0.516 0.482 0.681 0.621 0.567 0.519 0.476 0.437 0.402 18% 20% 0.847 0.833 0.694 0.888 0.837 0.871 0.813 Period 8 0.923 0.853 0.789 0.790 0.746 0.705 0.630 0.564 0.760 0.711 0.665 0.583 0.513 0.731 0.677 0.467 0.627 0.540 0.507 0.456 0.410 0.370 0.335 0.452 0.400 0.354 0.314 0.279 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 0.225 0.194 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.463 0.386 0.322 0.270 0.227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 0.429 0.350 0.287 0.237 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.368 0.290 0.229 0.182 0.145 0.116 0.093 Print Done Reference Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 0.567 Period 6 Period 7 0.933 0.942 0.888 0.837 0.790 0.746 0.871 0.813 0.760 0.711 0.519 0.476 0.437 0.402 0.705 0.630 0.564 0.507 0.456 0.410 0.370 0.335 0.665 0.583 0.513 0.452 0.400 0.354 0.314 0.279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.500 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.463 0.386 0.540 0.467 0.404 0.351 0.424 0.361 0.308 0.263 0.225 0.194 0.322 0.270 0.227 0.191 0.162 0.305 0.266 0.233 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 0.429 0.350 0.287 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.397 0.319 0.257 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.368 Period 14 0.870 0.758 0.661 0.577 0.505 Period 15 0.861 0.743 0.642 Period 20 0.820 0.673 0.555 0.481 0.554 0.456 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 0.295 0.233 0.146 0.092 0.059 0.038 0.024 0.016 0.010 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 0.057 0.033 0.020 0.012 0.007 0.004 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.046 0.022 0.011 0.005 0.003 0.001 0.001 0.237 0.195 0.162 0.135 0.208 0.168 0.137 0.112 0.290 0.229 0.182 0.145 0.116 0.093 0.442 0.340 0.263 0.205 0.160 0.125 0.099 0.078 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 Print Done - Reference Present Value of Annuity of $1 Periods 1% 2% 0.990 Period 1 Period 2 1.970 Period 3 2.941 Period 4 3.902 Period 5 4.853 Period 6 5.795 Period 7 6.728 Period 8 7.652 Period 9 8.566 Period 10 9.471 Period 11 10.368 9.787 9.253 8.760 Period 12 11.255 10.575 9.954 9.385 Period 13 12.134 11.348 10.635 9.986 3% 4% 5% 6% 8% 10% 12% 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 1.942 1.913 1.886 1.859 1.833 1.783 1.736 1.690 2.884 2.829 2.775 2.723 2.673 2.577 2.487 2.402 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 6.472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 8.162 7.786 7.435 7.108 6.802 6.247 5.759 5.328 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 8.306 7.887 7.139 6.495 5.938 8.863 8.384 7.536 6.814 6.194 9.394 8.853 7.904 7.103 6.424 14% 16% 18% 20% 0.877 0.862 0.847 0.833 1.647 1.605 1.566 1.528 2.322 2.246 2.174 2.106 2.914 2.798 2.690 2.589 3.433 3.274 3.127 2.991 3.889 3.685 3.498 4.288 4.039 3.812 4.639 4.344 4.078 4.946 4.607 5.216 4.833 3.326 3.605 3.837 4.303 4.031 4.494 4.192 5.453 5.029 4.656 4.327 5.660 5.197 4.793 4.439 5.842 5.342 4.910 4.533 Print Done - Reference Period 5 4.853 Period 6 5.795 Period 7 6.728 Period 8 7.652 Period 9 8.566 Period 10 9.471 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 6.472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 8.162 7.786 7.435 7.108 6.802 6.247 5.759 5.328 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.427 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 3.433 3.274 3.127 2.991 3.889 3.685 3.498 3.326 4.288 4.039 3.812 3.605 4.639 4.344 4.078 3.837 4.946 4.607 4.303 4.031 5.216 4.833 4.494 4.192 5.453 5.029 4.656 4.327 7.536 6.814 6.194 5.660 5.197 4.793 4.439 7.904 7.103 6.424 5.842 5.342 4.910 4.533 8.244 7.367 6.628 8.559 7.606 6.811 6.002 5.468 5.008 4.611 6.142 5.575 5.092 4.675 7.469 7.843 6.623 5.929 5.353 4.870 6.873 6.097 5.467 4.948 8.055 7.003 6.177 5.517 4.979 8.244 7.105 6.233 5.548 4.997 Print Done - Reference Future Value of $1 Periods 1% 2% 3% 4% 5% 6% Period 1 1.010 1.020 1.030 1.040 1.050 1.060 Period 2 1.020 1.040 1.061 1.082 1.103 1.124 Period 3 1.030 1.061 1.093 1.125 1.158 1.191 Period 4 1.041 1.082 1.126 1.170 1.216 Period 5 1.051 1.104 1.159 1.217 1.276 8% 10% 12% 1.080 1.100 1.120 1.166 1.210 1.254 1.300 1.260 1.331 1.405 1.482 1.262 1.360 1.464 1.574 1.338 1.469 1.611 1.762 14% 16% 18% 20% 1.140 1.160 1.180 1.200 1.346 1.392 1.440 1.561 1.643 1.728 1.689 1.811 1.939 1.925 2.100 2.288 2.074 2.488 Period 6 1.062 1.126 1.194 1.265 1.340 1.419 1.587 Period 7 1.072 1.149 1.230 1.316 1.407 1.504 1.714 Period 8 1.083 1.172 1.267 1.369 1.477 1.594 1.949 1.851 2.144 2.476 1.772 1.974 2.211 2.195 2.436 2.700 2.986 2.502 2.826 3.185 3.583 2.853 3.278 3.759 4.300 Period 9 1.094 1.195 1.305 1.423 1.551 1.689 1.999 2.358 2.773 3.252 3.803 4.435 5.160 Period 10 1.105 1.219 1.344 1.480 1.629 1.791 2.159 2.594 3.106 3.707 4.411 5.234 6.192 Period 11 1.116 1.243 1.384 Period 12 1.127 1.268 Period 13 1.138 1.294 1.426 1.601 1.469 1.665 1.539 1.710 1.796 1.886 1.898 2.012 2.332 2.853 2.518 3.138 2.133 2.720 3.452 3.479 4.226 5.117 6.176 7.430 3.896 4.363 4.818 5.936 7.288 8.916 5.492 6.886 8.599 10.699 Print Done Reference Period 5 1.051 1.104 1.159 1.217 1.276 1.338 1.469 1.611 1.762 1.925 2.100 2.288 2.488 Period 6 1.062 1.126 1.194 1.265 1.340 Period 7 1.072 1.149 1.230 1.316 1.407 Period 8 1.083 1.172 1.267 1.369 1.477 Period 9 1.094 1.195 1.305 1.423 1.551 1.689 1.999 Period 10 1.105 1.219 1.344 1.480 1.629 1.791 2.159 1.419 1.587 1.772 1.974 2.195 2.436 2.700 1.504 1.714 1.949 2.211 2.502 2.826 1.594 1.851 2.144 2.476 2.853 3.278 2.358 2.773 3.252 3.803 2.594 3.106 3.707 4.411 2.986 3.185 3.759 4.300 3.583 4.435 5.160 5.234 6.192 Period 11 1.116 1.243 1.384 1.539 1.710 1.898 Period 12 1.127 1.268 1.426 1.601 1.796 2.012 Period 13 1.138 1.294 1.469 1.665 1.886 2.133 Period 14 1.149 1.319 1.513 1.732 1.980 2.261 Period 15 1.161 1.346 1.558 1.801 2.079 2.397 2.332 2.853 2.518 3.138 2.720 3.452 2.937 3.797 3.172 4.177 Period 20 1.220 1.486 1.806 2.191 2.653 3.207 Period 25 1.282 1.641 2.094 2.666 Period 30 1.348 1.811 2.427 3.243 Period 40 1.489 2.208 3.262 4.801 3.479 4.226 5.117 6.176 7.430 3.896 4.818 5.936 7.288 8.916 4.363 5.492 6.886 8.599 10.699 4.887 6.261 7.988 10.147 12.839 5.474 7.138 9.266 11.974 15.407 4.661 6.727 9.646 13.743 19.461 27.393 38.338 3.386 4.292 6.848 10.835 10.835 17.000 26.462 40.874 62.669 95.396 4.322 5.743 10.063 17.449 29.960 50.950 85.850 143.371 237.376 7.040 10.286 21.725 45.259 93.051 188.884 378.721 750.378 1,469.772 Print Done Reference Future Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% Period 1 1.000 1.000 1.000 1.000 1.000 8% 10% 12% 1.000 1.000 1.000 1.000 14% 16% 18% 20% 1.000 1.000 1.000 1.000 Period 2 2.010 2.020 2.030 2.040 2.050 2.060 2.080 2.100 2.120 2.140 2.160 2.180 2.200 Period 3 3.030 3.060 3.091 3.122 3.153 3.184 3.246 3.310 3.374 3.440 3.506 3.572 3.640 Period 4 4.060 4.122 4.184 4.246 4.310 4.375 4.506 4.641 4.779 4.921 5.066 5.215 5.368 Period 5 5.101 5.204 5.309 5.416 5.526 5.637 5.867 6.105 6.353 6.610 6.877 7.154 7.442 Period 6 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.716 8.115 8.536 8.977 9.442 9.930 Period 7 7.214 7.434 7.662 7.898 8.142 8.394 8.923 9.487 10.089 10.730 11.414 12.142 12.916 Period 8 8.286 8.583 8.892 9.214 9.549 9.897 10.637 11.436 12.300 13.233 14.240 15.327 16.499 Period 9 9.369 9.755 10.159 10.583 11.027 11.491 12.488 13.579 14.776 16.085 17.519 19.086 20.799 Period 10 10.462 10.950 11.464 12.006 12.578 13.181 14.487 15.937 17.549 19.337 21.321 23.521 25.959 Period 11 Period 12 Period 13 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 13.809 14.680 15.618 16.627 17.713 18.882 21.495 24.523 28.029 23.045 25.733 28.755 32.150 27.271 30.850 34.931 39.581 32.089 36.786 42.219 48.497 Print Done Reference Period 5 5.101 5.204 5.309 5.416 5.526 5.637 5.867 6.105 6.353 6.610 6.877 7.154 7.442 Period 6 6.152 6.308 6.468 Period 7 7.214 7.434 Period 8 8.286 8.583 Period 10 Period 11 Period 15 6.633 6.802 6.975 7.336 7.716 8.115 8.536 7.662 7.898 8.142 8.394 8.923 9.487 10.089 10.730 8.892 9.214 9.549 9.897 10.637 11.436 12.300 13.233 Period 9 9.369 9.755 10.159 10.583 11.027 11.491 12.488 13.579 14.776 10.462 10.950 11.464 12.006 12.578 13.181 14.487 15.937 17.549 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 Period 12 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 27.271 Period 13 13.809 14.680 15.618 16.627 17.713 18.882 21.495 24.523 28.029 32.089 Period 14 14.947 15.974 17.086 18.292 19.599 21.015 24.215 27.975 32.393 16.097 17.293 18.599 20.024 21.579 23.276 27.152 31.772 37.280 Period 20 22.019 24.297 26.870 29.778 33.066 36.786 45.762 57.275 72.052 91.025 115.380 146.628 186.688 Period 25 28.243 32.030 36.459 41.646 47.727 54.865 73.106 98.347 133.334 181.871 249.214 342.603 471.981 Period 30 34.785 40.568 47.575 56.085 66.439 79.058 113.283 164.494 241.333 356.787 530.312 790.948 1,181.882 Period 40 48.886 60.402 75.401 95.026 120.800 154.762 259.057 442.593 767.091 1,342.025 2,360.757 4,163.213 7,343.858 8.977 9.442 9.930 11.414 12.142 12.916 14.240 15.327 16.499 16.085 17.519 19.086 20.799 19.337 21.321 23.521 25.959 23.045 37.581 43.842 34.931 39.581 42.219 48.497 43.672 50.818 59.196 51.660 60.965 72.035 25.733 28.755 32.150 30.850 36.786 Print Done