Solve various time value of money scenarios. (Click the icon to view the scenarios.) (Click the icon to view the present value factor table.) (Click the icon to view the present value annuity factor table.) (Click the icon to view the future value factor table.) (Click the icon to view the future value annuity factor table.) More info 1. Suppose you invest a sum of $4,000 in an interest-bearing account at the rate of 10% 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 $6,000 at the end of every year for the next 20 years? Assume a 12% interest rate. 3. Assume that you want to have $160,000 saved seven years from now. If you can invest your funds at a 6% interest rate, how much do you currently need to invest? 4. Your aunt Eugenia plans to give you $2,000 at the end of every year for the next 10 years. If you invest each of her yearly gifts at a 12% 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 $51,000 at that time. How much money do you need to invest each year in an interest-bearing account at the rate of 6% per year to accumulate the purchase price? \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{110}{|c|}{ Present Value of $1} \\ \hline Periods & 1\% & 2\% & 3% & 10% & 1%% & 6%% & 8% & 10% & 12% & 14% & 16% & 18% & 20% \\ \hline 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 & 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 & 0.971 & 0.942 & 0.915 & 0.889 & 0.864 & 0.840 & 0.794 & 0.751 & 0.712 & 0.675 & 0.641 & 0.609 & 0.579 \\ 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 & 0.410 & 0.370 & 0.335 \\ Period 7 & 0.933 & 0.871 & 0.813 & 0.760 & 0.711 & 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 & 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 & 0.225 & 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 \\ Period 14 & 0.870 & 0.758 & 0.661 & 0.577 & 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 & 0.554 & 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 \\ \hline \end{tabular}