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 $175,000 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 Cathy plans to give you $1,000 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 $53,000 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? Present Value of $1 \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Periods & 1% & 2% & 3% & 4% & 5% & 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} Reference Future Value of $1 \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Periods & 1% & 2% & 3% & 4% & 5% & 6% & 8% & 10% & 12% & 14% & 16% & 18% & 20% \\ \hline Period 1 & 1.010 & 1.020 & 1.030 & 1.040 & 1.050 & 1.060 & 1.080 & 1.100 & 1.120 & 1.140 & 1.160 & 1.180 & 1.200 \\ Period 2 & 1.020 & 1.040 & 1.061 & 1.082 & 1.103 & 1.124 & 1.166 & 1.210 & 1.254 & 1.300 & 1.346 & 1.392 & 1.440 \\ Period 3 & 1.030 & 1.061 & 1.093 & 1.125 & 1.158 & 1.191 & 1.260 & 1.331 & 1.405 & 1.482 & 1.561 & 1.643 & 1.728 \\ Period 4 & 1.041 & 1.082 & 1.126 & 1.170 & 1.216 & 1.262 & 1.360 & 1.464 & 1.574 & 1.689 & 1.811 & 1.939 & 2.074 \\ 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 & 1.419 & 1.587 & 1.772 & 1.974 & 2.195 & 2.436 & 2.700 & 2.986 \\ Period 7 & 1.072 & 1.149 & 1.230 & 1.316 & 1.407 & 1.504 & 1.714 & 1.949 & 2.211 & 2.502 & 2.826 & 3.185 & 3.583 \\ Period 8 & 1.083 & 1.172 & 1.267 & 1.369 & 1.477 & 1.594 & 1.851 & 2.144 & 2.476 & 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 & 1.539 & 1.710 & 1.898 & 2.332 & 2.853 & 3.479 & 4.226 & 5.117 & 6.176 & 7.430 \\ Period 12 & 1.127 & 1.268 & 1.426 & 1.601 & 1.796 & 2.012 & 2.518 & 3.138 & 3.896 & 4.818 & 5.936 & 7.288 & 8.916 \\ Period 13 & 1.138 & 1.294 & 1.469 & 1.665 & 1.886 & 2.133 & 2.720 & 3.452 & 4.363 & 5.492 & 6.886 & 8.599 & 10.699 \\ Period 14 & 1.149 & 1.319 & 1.513 & 1.732 & 1.980 & 2.261 & 2.937 & 3.797 & 4.887 & 6.261 & 7.988 & 10.147 & 12.839 \\ Period 15 & 1.161 & 1.346 & 1.558 & 1.801 & 2.079 & 2.397 & 3.172 & 4.177 & 5.474 & 7.138 & 9.266 & 11.974 & 15.407 \\ Period 20 & 1.220 & 1.486 & 1.806 & 2.191 & 2.653 & 3.207 & 4.661 & 6.727 & 9.646 & 13.743 & 19.461 & 27.393 & 38.338 \\ Period 25 & 1.282 & 1.641 & 2.094 & 2.666 & 3.386 & 4.292 & 6.848 & 10.835 & 17.000 & 26.462 & 40.874 & 62.669 & 95.396 \\ Period 30 & 1.348 & 1.811 & 2.427 & 3.243 & 4.322 & 5.743 & 10.063 & 17.449 & 29.960 & 50.950 & 85.850 & 143.371 & 237.376 \\ Period 40 & 1.489 & 2.208 & 3.262 & 4.801 & 7.040 & 10.286 & 21.725 & 45.259 & 93.051 & 188.884 & 378.721 & 750.378 & 1,469.772 \\ \hline \end{tabular} Future Value of Annuity of $1 In six years the investment will be worth