Future Value of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 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 1,469.772Present Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 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 1.970 1.942 1.913 1.886 1.859 1.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.246 2.174 2.106 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 Period 5 4.853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4 111 3.889 3.685 3.498 3.326 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 Period 9 8.566 8.162 7.786 7.435 7.108 6.802 6.247 5.759 5.328 4.946 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 5.216 4.833 4.494 4.192 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 5.453 5.029 4.656 4.327 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 5.660 5.197 4.793 4.439 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.367 6.628 6.002 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 6.142 5.575 5.092 4.675 Period 20 18.046 16.351 14.877 13.590 12 462 11.470 9.818 8.514 7.469 6.623 5.929 5.353 4.870 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 6.873 6.097 5.467 4.948 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.427 8.055 7.003 6.177 5.517 4.979 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 6.233 5.548 4.9971. Suppose you invest a sum of $4000 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 nowto be able to withdraw $9,000 at the end of every year for the next 20 years? Assume an 8% interest rate. 3. Assume that you want to have $100,000 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 Mary plans to give you $5,000 at the end of every year for the next ten years. it you invest each of her yearly gis at a 14% interest rater howr much will they be worth at the end of the 10year 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? Present Value of 31 1 Periods 1% 2% 3% 4% 5% 0% 551: 10% 12% 14% 10% 10% 20% Period 1 0.990 0.900 0.971 0.902 3.952 0.943 0.920 0.909 0.093 3.977 0.002 0.047 0.033 Period 2 0.900 0.901 0.943 0.925 3.907 0.090 0.95 0 .020 0.797 3.709 0.743 0.710 0.094 Period 3 0.971 0.942 0.915 0.009 3. 904 0.040 0.794 0 .751 0.712 3.075 0.041 0 .009 0.579 Period 4 0. 901 0.924 0.090 0.055 3. 923 0.792 0.735 0 .093 0.030 3.592 0.552 0.510 0.402 Period 5 0.951 0.900 0.003 0.022 3.704 0.747 0.091 0.021 0.507 3.519 0.470 0.437 0.402 Period 0 0.942 0.000 0.037 0.790 3.740 0.705 0.030 0.504 0.507 3.450 0.410 0.370 0.335 Period 7 0.933 0.971 0.013 0.700 0.711 0.005 0.503 0.513 0.452 3.400 0.354 0.314 0.279 Period 8 0.923 0.953 0.799 0.731 3.077 0.027 0.540 0.407 0.404 3.351 0.305 0.200 0.233 Period 9 0.914 0.037 0.700 0.703 3.045 0.592 0.500 0.424 0.301 3.300 0.203 0.225 0.194 Period 10 0.035 0.920 0.744 0.070 3.014 0.550 0.403 0.390 0.322 3.270 0.227 0.191 0.102 Period 11 0.090 0.904 0.722 0.050 3.505 0.527 0.429 0.350 0.207 3.237 0.195 0.102 0.135 Period 12 0.007 0.700 0.701 0.025 3.557 0.497 0.397 0.319 0.25? 3.200 0.100 0.137 0.112 Period 13 0.079 0.773 0.091 0.001 3.530 0.409 0.300 0.290 0.229 3.102 0.145 0.110 0.093 Period 14 0.070 0.750 0.001 0.57? 3.505 0.442 0.340 0.203 0.205 3.100 0.125 0.099 0.070 Period 15 0.001 0.743 0.042 0.555 3.401 0.417 0.315 0.239 0.103 3.140 0.100 0.004 0.005 Period 20 0.020 0.073 0.554 0.450 3.377 0.312 0.215 0.149 0.104 3.073 0.051 0.037 0.020 Period 25 0.700 0.010 0.470 0.375 3.295 0.233 0.140 0.092 0.059 3.030 0.024 0.010 0.010 Period 30 0.742 0.552 0.412 0.309 3.231 0.174 0.099 0.057 0.033 3.020 0.012 0.007 0.004 Period 40 0.072 0.453 0.307 0.209 3.142 0.097 0.040 0.022 0.011 3.005 0.003 0.001 0.001 Future Value ofAnnuity of $1 Periods 1% 12% 14% 15% 10% 20% Period 1 1.000 1.000 1.000 1.000 1.003 1.000 Period 2 2.010 2.120 2.140 2.100 2.180 2.200 Period 3 3.030 3.3?4 3.440 3&0 3.52 3.040 Period 4 4.000 4.??0 4.021 5.000 5.215 5.308 Period 5 5.101 0.353 0.010 08?? ?.154 ?.442 Period 0 0.152 8.115 8.530 80?? 0.442 0.030 Period T ?214 10.030 10.?30 11.414 12.142 12.010 Period 8 8280 12.300 13.233 14.240 15.32? 10.400 Period 0 0.300 14.??0 10.085 1?.510 10.080 20.?00 Period 10 10.402 1?.540 10.33? 21.321 23.521 25.050 Period 11 11.50? 20.055 23.045 25.?33 23.?55 32.150 Period 12 12.083 24.133 2?.2?1 30.350 34.031 30.581 Period 13 13.300 28.020 32.080 30.?80 42.210 48.40? Period 14 14.04? 32.303 3?.581 43.0?2 50.318 50.100 Period 15 10.00? 3?.230 43.342 51.000 00.005 ?2.035 Period 20 22.010 ?2.052 01.025 115.380 140.028 180.088 Period 25 23.243 133.334 181 .8?1 240.214 342.003 4?1.081 Period 30 34.?85 104.404 241.33 350.?3? 530.312 ?00048 1181882 Period 40 43.380 00.402 154.?02 250.05? 442.503 70?.001 1,342.025 2,300.?5? 4,103.213 ?,343.858