Question
Hi! can someone help me answer these questions? Use Future Value and Present Value Tables 1. Cathy Lumbattis inherited $140,000 from an aunt. If Cathy
Hi! can someone help me answer these questions? Use Future Value and Present Value Tables 1. Cathy Lumbattis inherited $140,000 from an aunt. If Cathy decides not to spend her inheritance but to leave the money in her saving account until she retires in 15 years, how much money will she have, assuming an annual interest rate of 8% compounded semiannually. 2. LuAnn Bean will receive $7,000 in 7 years. What is the present value at 7% compounded annually? 3. A bank is willing to lend money at 6% interest, compounded annually. How much would the bank be willing to loan you in exchange for a payment of $600 4 years from now? 4. Ed Walker wants to save some money so that he can make a down payment of $3,000 on a car when he graduates from college in 4 years. If Ed opens a savings account and earns 3% on his money, compounded annually, how much will he have to invest now? 5. Kristen Quinn makes equal deposits of $500 semiannually for 4 years. What is the future value at 8%? 6. Chuck Russo, a high school math teacher, wants to set up an IRA account into which he will deposit $2,000 per year. He plans to teach for 20 more years and then retire. If the interest on his account is 7% compounded annually, how much will be in his account when he retires? 7. Larson Lumber makes annual deposits of $500 at 6% compounded annually for 3 years. What is the future value of these deposits? 8. Michelle McFeaters can earn 6%. How much would have to be deposited in a savings account in order for Michelle to be able to make equal annual withdrawals of $200 at the end of each of 10 years? The balance at the end of the last year would be zero. 9. Barb Muller wins the lottery. She wins $20,000 per year to be paid for 10 years. The state offers her the choice of a cash settlement now instead of the annual payments for 10 years. If the interest rate is 6%, what is the amount the state will offer for a settlement today? Here is the table:
Future Value of $1 Per. 1% 2% 1 1.010 1.020 2 1.020 1.040 3 1.030 1.061 4 1.041 1.082 5 1.051 1.104 6 1.062 1.126 7 1.072 1.149 8 1.083 1.172 9 1.094 1.195 10 1.105 1.219 11 1.116 1.243 12 1.127 1.268 13 1.138 1.294 14 1.149 1.319 15 1.161 1.346 16 1.173 1.373 17 1.184 1.400 18 1.196 1.428 19 1.208 1.457 20 1.220 1.486 30 1.348 1.811 3% 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.605 1.653 1.702 1.754 1.806 2.427 4% 1.040 1.082 1.125 1.170 1.217 1.265 1.316 1.369 1.423 1.480 1.539 1.601 1.665 1.732 1.801 1.873 1.948 2.026 2.107 2.191 3.243 5% 1.050 1.103 1.158 1.216 1.276 1.340 1.407 1.477 1.551 1.629 1.710 1.796 1.886 1.980 2.079 2.183 2.292 2.407 2.527 2.653 4.322 6% 1.060 1.124 1.191 1.262 1.338 1.419 1.504 1.594 1.689 1.791 1.898 2.012 2.133 2.261 2.397 2.540 2.693 2.854 3.026 3.207 5.743 7% 8% 9% 10% 1.070 1.080 1.090 1.100 1.145 1.166 1.188 1.210 1.225 1.260 1.295 1.331 1.311 1.360 1.412 1.464 1.403 1.469 1.539 1.611 1.501 1.587 1.677 1.772 1.606 1.714 1.828 1.949 1.718 1.851 1.993 2.144 1.838 1.999 2.172 2.358 1.967 2.159 2.367 2.594 2.105 2.332 2.580 2.853 2.252 2.518 2.813 3.138 2.410 2.720 3.066 3.452 2.579 2.937 3.342 3.797 2.759 3.172 3.642 4.177 2.952 3.426 3.970 4.595 3.159 3.700 4.328 5.054 3.380 3.996 4.717 5.560 3.617 4.316 5.142 6.116 3.870 4.661 5.604 6.727 7.612 10.063 13.268 17.449 11% 1.110 1.232 1.368 1.518 1.685 1.870 2.076 2.305 2.558 2.839 3.152 3.498 3.883 4.310 4.785 5.311 5.895 6.544 7.263 8.062 22.892 12% 1.120 1.254 1.405 1.574 1.762 1.974 2.211 2.476 2.773 3.106 3.479 3.896 4.363 4.887 5.474 6.130 6.866 7.690 8.613 9.646 29.960 "1"TIT T TT Future Value of an Ordinary Annuity of $1 per period Per. 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2.080 2.090 2.100 2.110 2.120 3 3.030 3.060 3.091 3.122 3.153 3.184 3.215 3.246 3.278 3.310 3.342 3.374 4 4.060 4.122 4.184 4.246 4.310 4.375 4.440 4.506 4.573 4.641 4.710 4.779 5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.985 6.105 6.228 6.353 6 6.152 6.308 6.468 6.633 6.802 6.975 7.153 7.336 7.523 7.716 7.913 8.115 7 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.923 9.200 9.487 9.783 10.089 8 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10.637 11.028 11.436 11.859 12.300 9 9.369 9.755 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.579 14.164 14.776 10 10.462 10.950 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 16.722 17.549 11 11.5668 12.1687 12.8078| 13.4864 14.2068 14.9716 15.7836 16.6455 17.5603 18.5312 19.5614 20.6546 12 12.683 13.412 14.192 15.026 15.917 16.870 17.888 18.977 20.141 21.384 22.713 24.133 131 13.809 14.680 15.618 16.627 17.713 18.882 20.141 21.495 22.953 24.523 26.212 28.029 141 14.947 15.974 17.086 18.292 19.599 21.015 22.550 24.215 | 26.019 | 27.975 30.095 32.393 151 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.361 31.772 34.405 37.280 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003 35.950 39.190 42.753 17 18.430 20.012 21.762 23.698 25.840 28.213 30.840 33.750 36.974 40.545 44.501 48.884 18 19.615 21.412 23.414 | 25.645 28.132 30.906 33.999 37.450 41.301 45.599 50.396 55.750 19] 20.811 22.841 25.117 27.671 30.539 33.760 37.379 41.446 46.01851.159 56.939 63.440 201 22.019 24.297 26.870 29.778 33.066 36.786 40.995 45.762 51.160 57.275 64.203 72.052 1% 5% Present Value of $1 Per. 2% 1 0.990 0.980 2 0.980 0.961 3 0.971 0.942 4 0.961 0.924 5 0.951 0.906 6 0.942 0.888 7 0.933 0.871 8 0.923 0.853 9 0.914 0.837 10 0.905 0.820 11 0.896 0.804 12 0.887 0.788 13 0.879 0.773 14 0.870 0.758 15 0.861 0.743 16 0.853 0.728 17 0.844 0.714 18 0.836 0.700 19 0.828 0.686 20 0.820 0.673 3% 0.971 0.943 0.915 0.888 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 4% 0.962 0.925 0.889 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 0.456 0.952 0.907 0.864 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 6% 0.943 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.527 0.497 0.469 0.442 0.417 0.394 0.371 0.350 0.331 0.312 7% 0.935 0.873 0.816 0.763 0.713 0.666 0.623 0.582 0.544 0.508 0.475 0.444 0.415 0.388 0.362 0.339 0.317 0.296 0.277 0.258 8% 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 0.315 0.292 0.270 0.250 0.232 0.215 9% 0.917 0.842 0.772 0.708 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 0.275 0.252 0.231 0.212 0.194 0.178 10% 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.350 0.319 0.290 0.263 0.239 0.218 0.198 0.180 0.164 0.149 11% 0.901 0.812 0.731 0.659 0.593 0.535 0.482 0.434 0.391 0.352 0.317 0.286 0.258 0.232 0.209 0.188 0.170 0.153 0.138 0.124 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 13% 0.885 0.783 0.693 0.613 0.543 0.480 0.425 0.376 0.333 0.295 0.261 0.231 0.204 0.181 0.160 0.141 0.125 0.111 0.098 0.087 14% 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 0.308 0.270 0.237 0.208 0.182 0.160 0.140 0.123 0.108 0.095 0.083 0.073 15% 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.215 0.187 0.163 0.141 0.123 0.107 0.093 0.081 0.070 0.061 20% 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 0.135 0.112 0.093 0.078 0.065 0.054 0.045 0.038 0.031 0.026 21% 0.826 0.683 0.564 0.467 0.386 0.319 0.263 0.218 0.180 0.149 0.123 0.102 0.084 0.069 0.057 0.047 0.039 0.032 0.027 0.022 22% 0.820 0.672 0.551 0.451 0.370 0.303 0.249 0.204 0.167 0.137 0.112 0.092 0.075 0.062 0.051 0.042 0.034 0.028 0.023 0.019 23% 0.813 0.661 0.537 0.437 0.355 0.289 0.235 0.191 0.155 0.126 0.103 0.083 0.068 0.055 0.045 0.036 0.030 0.024 0.020 0.016 24% 0.806 0.650 0.524 0.423 0.341 0.275 0.222 0.179 0.144 0.116 0.094 0.076 0.061 0.049 0.040 0.032 0.026 0.021 0.017 0.014 25% 0.800 0.640 0.512 0.410 0.328 0.262 0.210 0.168 0.134 0.107 0.086 0.069 0.055 0.044 0.035 0.028 0.023 0.018 0.014 0.012 30 0.742 0.552 0.412 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.004 0.003 0.003 0.002 0.002 0.001 40 0.672 0.453 0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.001 0.000 0.000 0.000 0.000 0.000 Present Value of an Ordinary Annuity of $1 per period Per. 1% 2% 3% 4% 5% 6% 1 0.990 0.980 0.971 0.962 0.952 0.943 2 1.970 1.942 1.913 1.886 1.859 1.833 3 2.941 2.884 2.829 2.775 2.723 2.673 4 3.902 3.808 3.717 3.630 3.546 3.465 5 4.853 4.713 4.580 4.452 4.329 4.212 6 5.795 5.601 5.417 5.242 5.076 4.917 7 6.728 6.472 6.230 6.002 5.786 5.582 8 7.652 7.325 7.020 6.733 6.463 6.210 9 8.566 8.162 7.786 7.435 7.108 6.802 10 9.471 8.983 8.530 8.111 7.722 7.360 11 10.368 9.787 9.253 8.760 8.306 7.887 12 11.255 10.575 9.954 9.385 8.863 8.384 12.134 11.348 10.635 9.986 9.394 8.853 141 13.004 12.106 11.296 10.563 9.899 9.295 15 13.865 12.849 11.938 11.118 10.380 9.712 16 14.718 13.578 12.561 11.652 10.838 10.106 17 15.562 14.292 13.166 12.166 11.274 10.477 1816.398 14.992 13.754 12.659 11.690 10.828 19 17.226 15.678 14.324 13.134 12.085 11.158 20] 18.046 16.351 14.877 13.590 12.462 11.470 7% 0.935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 8% 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 7.139 7.536 7.904 8.244 8.559 8.851 9.122 9.372 9.604 9.818 9% 0.917 1.759 2.531 3.240 3.890 4.486 5.033 5.535 5.995 6.418 6.805 7.161 7.487 7.786 8.061 8.313 8.544 8.756 8.950 9.129 10% 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 6.495 6.814 7.103 7.367 7.606 7.824 8.022 8.201 8.365 8.514 11% 0.901 1.713 2.444 3.102 3.696 4.231 4.712 5.146 5.537 5.889 6.207 6.492 6.750 6.982 7.191 7.379 7.549 7.702 7.839 7.963 12% 0.893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 5.328 5.650 5.938 6.194 6.424 6.628 6.811 6.974 7.120 7.250 7.366 7.469 13% 0.885 1.668 2.361 2.974 3.517 3.998 4.423 4.799 5.132 5.426 5.687 5.918 6.122 6.302 6.462 6.604 6.729 6.840 6.938 7.025 14% 0.877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 5.453 5.660 5.842 6.002 6.142 6.265 6.373 6.467 6.550 6.623 15% 0.870 1.626 2.283 2.855 3.352 3.784 4.160 4.487 4.772 5.019 5.234 5.421 5.583 5.724 5.847 5.954 6.047 6.128 6.198 6.259 20% 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 4.327 4.439 4.533 4.611 4.675 4.730 4.775 4.812 4.843 4.870 21% 0.826 1.509 2.074 2.540 2.926 3.245 3.508 3.726 3.905 4.054 4.177 4.278 4.362 4.432 4.489 4.536 4.576 4.608 4.635 4.657 22% 0.820 1.492 2.042 2.494 2.864 3.167 3.416 3.619 3.786 3.923 4.035 4.127 4.203 4.265 4.315 4.357 4.391 4.419 4.442 4.460 23% 0.813 1.474 2.011 2.448 2.803 3.092 3.327 3.518 3.673 3.799 3.902 3.985 4.053 4.108 4.153 4.189 4.219 4.243 4.263 4.279 24% 0.806 1.457 1.981 2.404 2.745 3.020 3.242 3.421 3.566 3.682 3.776 3.851 3.912 3.962 4.001 4.033 4.059 4.080 4.097 4.110 25% 0.800 1.440 1.952 2.362 2.689 2.951 3.161 3.329 3.463 3.571 3.656 3.725 3.780 3.824 3.859 3.887 3.910 3.928 3.942 3.954 13 30 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 4.979 4.746 4.534 4.339 4.160 3.995 40 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 4.997 4.760 4.544 4.347 4.166 3.999Step by Step Solution
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