Please show all of the calculation processes.

1. You have just won $46,000. How much money will you accumulate at the end of 5 years if you invest it at 8% compounded annually? At 14%? 2. Thirteen years from now, the unpaid principal of the mortgage on your house will be $248,400. How much do you need to invest today at 4% interest compounded annually to accumulate the $248,400 in 13 years? 3. If the unpaid mortgage on your house in 13 years will be $248,400. how much money do you need to invest at the end of each year at 4% to accumulate exactly this amount at the end of the 13th year? 4. You plan to save $4,700 of your earnings at the end of each year for the next 8 years. How much money will you accumulate at the end of the 8th year if you invest your savings compounded at 6% per year? 5. You have just turned 65 and an endowment insurance policy has paid you a lump sum of $350,000. If you invest the sum at 6%, how much money can you withdraw from your account in equal amounts at the end of each year so that at the end of 9 years (age 74), there will be nothing left? 6. You have estimated that for the first 6 years after you retire you will need a cash inflow of $45,000 at the end of each year. How much money do you need to invest at 2% at your retirement age to obtain this annual cash inflow? At 6%? The table provided shows two schedules of prospective operating cash inflows, each of which requires the same net initial investment of $24,500 now. The required rate of return is 6% compounded annually. All cash inflows occur at the end of each year. In terms of net present value, which plan is more desirable? Show your calculations. Annual Cash Inflows Year Plan B $ $ Plan A 2,000 3,000 4,000 7,000 16,500 4,500 6,500 10,500 6,500 4,500 $ 32.500 32,500 Total Present Value of $1 Pa In this table S-$1. PS Periods 2% 6% 8% 10% 12% 14% 16% Periods 8 10 0.980 0.961 0.942 0.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 0.728 0714 0.700 0.686 0.673 0.660 0.647 0.634 0.622 0.610 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 0.439 0.422 0.406 0.390 0.375 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 0.294 0.278 .262 0.247 0.233 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 0.199 0.184 0.170 0.158 0.146 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 .135 0.123 0.112 0.102 0.092 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 0.093 0.083 0.074 0.066 0.059 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0351 0.308 0.270 0.237 0.208 0.182 0.160 0.140 0.123 0.108 0.095 0.083 0.073 0.064 0.056 0.049 0.043 0.038 0.862 0.743 0.641 0.552 0.476 0.410 0.354 0.305 0.263 0.227 0.195 0.168 0.145 0.125 0.108 0.093 0.080 0.069 0.060 0.051 0.044 0.038 .003 0.028 0.024 18% 20% 22% 0.847 0.833 0.820 0.7180.694 0.672 0.609 0.579 0.551 0.516 0.482 0.451 0.437 0.402 0.370 0.370 0.335 0.303 0.3140.2790.249 0.266 0 .233 0.204 0.225 0.194 0.167 0.191 0 .162 0.137 0.162 0.135 0.112 0.137 0.112 0.092 0.116 0.093 0.075 0.099 0.078 0.062 0.084 0.065 0.051 0.071 0.054 0.042 0.060 0.045 0.034 0.051 0.038 0.028 0.043 0.023 0.037 0.026 0.019 0.031 0.022 0.015 0.026 0.018 0.013 0.022 0.015 0.010 0.019 0.013 0.008 0.016 0.010 0.007 24% 26% 28% 30% 32% 40% 0.806 0.794 0.781 0.769 0.758 0.714 0.650 0.630 0.610 0.592 0.574 0.510 0.524 0.500 0.477 0.455 0.435 0.364 0.423 0.397 0.373 0.350 0.329 0.329 0.260 0.341 0.315 0.291 0.269 0.250 0.186 0.275 0.250 0.227 0.207 0.189 0.133 0.222 0.198 0.178 0.1590.1430.095 0.179 0.157 0.139 0.123 0.108 0.068 0.144 0.125 0.108 0.094 0.082 0.048 0.116 0.099 0.085 0.073 0.062 0.035 0.094 0.079 0.066 0.056 0.047 0.025 0.076 0.062 0.052 0.043 0.036 0.018 0.061 0.050 0.040 0.033 0.027 0.013 0.049 0.039 0.032 0.025 0.021 0.009 0.040 0.031 0.025 0.020 0.016 0.006 0.032 0.025 0.019 0.015 0.012 0.005 0.026 0.020 0.015 0.012 0.0090.003 0.021 0.016 0.012 0.009 0.007 0.002 0.017 0.0120.0090.007 0.005 0.002 0.014 0.010 0.007 0.005 0.004 0.001 0.0110.008 0.006 0.004 0.003 0.001 0.009 0 .006 0.004 0 .003 0.002 0.001 0.007 0.006 0.00 0.002 0.002 0.000 0.006 0.004 0.003 0.002 0.001 0.000 0.005 0.003 0.002 0.001 0.001 0.000 0 22 23 0 0 Present Value of Annuity S1 in Arrears* 1, 11 (1 + Periods 2% 24% 26% 28% 30% 32% 40% Periods 2 6 4.035 0.980 1.942 2.884 3.808 4.713 5,601 6.472 7.325 8.162 8.983 9.787 10.575 11.348 12.106 12.849 13.578 14.292 14.992 15.678 16.351 17.011 17.658 18.292 18.914 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 0.9620 .943 0.926 0.909 0.893 0.877 08620 847 1.886 1.833 1.783 1.736 1.690 1.647 1.605 1 .566 1.528 1.492 2.775 2673 2577 2487 2.4022 322 2.246 2174 2106 2.042 3.630 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 2.494 4.452 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 2.864 52424.917 4.623 4.355 4.111 3.8893.685 3.498 3.326 3.167 6.002 5.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 3.416 6.733 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 3.619 7.435 6.8026.247 5.759 5.328 4.946 4,607 4.303 4.031 3.786 8.111 7.360 6.710 6.145 5.6505.216 4.833 4.494 4.192 3.923 8.760 7.887 7.139 6.495 5.938 5.453 5.453 5.029 4.656 4.327 9.3858.384 6.814 6.194 5.660 5.197 4.793 4.439 4.127 9.986 8.853 7.904 7.103 6.424 5.842 5.342 4.910 4.533 4.203 10.563 9.295 8.244 7.367 6.628 6.0025.468 5.008 4.6114.265 11.118 9.712 8.559 7.606 6.811 6.142 5.575 5.092 4.675 4.315 11.652 10.106 7.824 6.974 6.265 5.668 5.162 4.730 4.357 12.166 10.477 9.122 8 .022 7.120 6.373 5.749 5.222 4.775 4.391 12.659 10.828 9.3728.2017.250 6.467 5.818 5.2734.812 4.419 13.134 11.158 9.604 8.365 7.366 6.550 5.877 5.316 4.843 4.442 13.590 11.470 9.818 8.514 7.469 6.623 5.929 5.353 4.870 4.460 14.029 11.764 10.017 8.649 7.562 6.687 5.973 5.384 4.891 4.476 14.451 12.042 10.201 8.772 7.645 6.743 6.011 5.410 4.909 4.488 14.857 12.303 10.3718.8837.718 6.7926.044 5.432 4.925 4.499 15.247 12.550 10.529 8.985 7.784 6.835 6.073 5.451 4.937 4.507 0.806 1.457 1.981 2.404 2.745 3020 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 4.121 4.130 4.137 4.143 0.7940.781 0.769 0.758 0.714 1.424 1.392 1.361 1.331 1224 1.923 1.868 1.816 1.766 1.589 2.320 2241 2.166 2.096 1.849 2.635 2.532 2.436 2.345 2.005 2.885 2.759264325342.168 3.083 2.937 2.802 2.677 2.263 3.2413.076 2.925 2.786 2.331 3.366 3.184 3.019 2.868 2.379 3.465 3.269 3.092 2.930 2.414 3.543 3.335 3.147 2.978 2.438 3,606 3.387 3.1903.013 2.456 3.656 3.427 3.223 3.040 2.469 3.695 3.4593.249 3.061 2.478 3.726 3.483 3.268 3.076 2.484 3.751 3.503 3.283 3.088 2.489 3.771 3.518 3.295 3.097 2.492 3.786 3.5293.304 3.104 2.494 3.799 3,539 3.311 3.109 2.496 3.808 3.546 3.316 3.113 2.497 3.816 3.551 3.320 3.116 2.498 3.822 3.556 3.323 3.118 2.498 3.827 3.559 3.325 3.120 2.499 3.831 3.562 3.327 3.121 2.499 14 8.851 17 21 Compound Amount of $1 (The Future Value of $1) S-P11+). In this table P-$1. Periods 28% 30% 40% Periods 1 2 OWN 2% 8% 1.020 1.040 1.060 1.080 1.040 1.0821.124 1.166 1.061 1.125 1.191 1.260 1.082 1.170 1.262 1.360 1.104 1.217 1.338 1.469 1.126 1.265 1.419 1.587 1.149 1.316 1.504 1.714 1.172 1.369 1.594 1.851 1.1951.423 1.689 1.999 1.219 1.480 1.791 2.159 1.243 1.5391.898 2.332 1.268 1.601 2.012 2518 1.294 1.665 2.133 2720 1.319 1.732 2.261 2.937 1.346 1.801 2.397 3.172 1.373 1.873 2.540 3.426 1.400 1.948 2.693 3.700 1.428 2026 2854 3.996 1.457 2107 3026 3.026 4.316 216 1.486 2.191 3.207 4.661 1.516 2.279 3.400 5.034 1.546 2370 3.604 5.437 1.577 2.465 3.820 5.871 1.608 2.563 4.049 6.341 1.641 2.666 4.292 6.848 1.673 2.772 4.5497.396 10% 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2144 2358 2.594 2.853 3.138 3.452 3.797 4.177 4.595 5.054 5.560 6.116 6.727 7.400 8.140 8.954 9.850 10.835 11.918 12% 14% 16% 1.120 1.140 1.160 1.254 1.300 1.346 1.405 1.482 1.561 1.574 1.689 1.811 1.762 1.925 2.100 1.974 2.195 2.436 22112.5022.826 2.476 2.853 3.278 2.7733.252 3.803 3.106 3.707 4.411 3.4794 226 5.117 3.896 4.818 5.936 4.363 5.492 6.886 4.887 6.261 7.988 5.474 7.138 9 .266 6.130 8.137 10.748 6.866 9.276 12.468 7690 10.575 14.463 8.613 12.056 16.777 9.646 13.743 19.461 10.804 15.668 22.574 17.861 26.186 13.552 20.362 30.376 15.179 23.212 35.236 17.000 26.462 40.874 19.040 30.167 47.414 18% 20% 1.180 1.200 1.392 1.440 1.643 1.728 1.939 2.074 2.288 2.488 2.700 2.986 3.185 3.583 3.759 4.300 4.435 5.160 5.234 6.192 6.176 7.430 7.288 8.916 8.599 10.699 10.147 12.839 11.974 15.407 14.129 18.488 16.672 22.186 19.673 26.623 23.214 31.948 27.393 38.338 32.324 46.005 38.14255.206 45.008 66.247 53.109 79.497 62.669 95.396 73.949 114.475 22% 24% 1.220 1.240 1.488 1.538 1.816 1.907 2215 2.364 2.703 2.932 3.297 3.635 4.023 4.508 4.908 5.590 5.987 6.931 7.305 8.594 891210657 8.912 10.657 10.872 13.215 13.264 16.386 16.182 20.319 19.742 25.196 24.086 31.243 29.384 38.741 35.84948039 43.736 59.568 53.358 73.864 65.096 91.592 79.418 113.574 96.889 140.831 118.205 174.631 144.210 216.542 175.936 268.512 26% 1.260 1.588 2.000 2.520 3.176 4.002 5.042 6.353 8.005 10.086 12.708 16.012 20.175 25.421 32.000 4 0.358 50.851 6 4.072 80.731 101.721 128.169 161.492 203.480 256.385 323.045 407,037 1.280 1.300 1.320 1.400 1 1.638 1.690 1.742 1.960 2.097 2.197 2.300 2.744 2684 2.856 3.036 3.842 3.436 3.713 4.007 5.378 4.398 4.827 5.290 7.530 5.629 6.275 6.983 10.541 7.206 8.157 9.217 14.758 9.223 10.604 12.166 20.661 11.806 13.786 16.060 28.925 10 15.112 17.922 21.199 40.496 11 19.343 23.298 27.983 56.694 12 24.759 30.288 36.937 79.371 13 31.691 39.374 48.757 111.120 14 40.565 51.186 64.359 155.568 15 51.923 66.542 84.954 217.795 16 66.461 86.504 112.139 304.913 85.071 112.455 148,024 426 879 18 108.890146.192195.391 597.630 139.380 190.050 257.916 836.683 178.406 247.065 340.449 1171.356 228.360 321.184 449.3931639.898 292.300 417.539593.1992295.85723 374.144 542.801 783.023 3214.200 24 478.905 705.641 1033.590 4499.880 25 612.998 917.333 1364.3396299.831 26 18 Compound Amount of Annuity of S1 in Arrears* (Future Value of Annuity) 11 + - 1 Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 40% Periods 6 7 1.000 1.000 2020 2040 3.060 3.122 4.122 4.246 5.204 5.416 6.308 6.633 7.434 7.898 8.583 9.214 9.755 10.583 10.950 12.006 12.169 13.486 13.412 15.026 14.680 16.627 15.974 18.292 17.293 20.024 18.639 21.825 20.012 23.698 21.412 25.645 22.841 27.671 1.000 2060 3.184 4.375 5.637 6.975 8.394 9.897 11.491 13.181 14.972 16.870 18.882 21.015 23.276 25.673 28.213 30.906 33.760 1.000 1.000 2.080 2.100 3.246 3.310 4.506 4.641 5.867 6.105 7.336 7.716 8.9239.487 10.637 11.436 12.488 13.579 14.487 15.937 16.645 18.531 18.977 21.384 21.495 24.523 24 215 27.975 27.152 31.772 30.324 35.950 33.750 40.545 37.450 45.599 41.446 51.159 9 10 11 12 13 1.000 2.120 3.374 4.779 6.353 8.115 10.089 12.300 14.776 17.549 20.655 24.133 28.029 32.390 37.280 42.753 48.884 55.750 63.440 1.000 2.140 3.440 4.921 6.610 8.536 10.730 13.233 16.085 19.337 23.045 27.271 32.089 1.000 2.160 3.506 5.066 6.877 8.977 11.414 14.240 17.519 21.321 25.733 30.850 36.786 1.000 1.000 2.180 2.200 3.572 3.640 5.215 5.368 7.154 7.442 9.442 9.930 12.142 12.916 15.327 16.499 19.086 20.799 23.521 25.959 28.755 32.150 34.931 39.581 42.21948.497 22% 24% 26% 28% 30% 1.000 1.000 1.000 1.000 1.000 2.220 2.240 2.260 2.280 2.300 3.708 3.778 3.848 3.918 3.990 5.524 5.684 5.848 6.016 6.187 7.740 8.048 8.368 8.700 9.043 10.442 10.980 11.544 12.136 12.756 13.740 14.615 15.546 16.534 17.583 17.762 19.123 20.588 22.163 23.858 22.670 24.712 26.940 29.369 32.015 28.657 3 1.643 34.945 33.59 42.619 35.962 4 0.238 45.031 50.398 56.405 44.874 50.895 57.739 65.510 74.327 55.746 64.110 73.751 84.853 97.625 80.496 93.926 109.612 127.913 85.192 100.815 119.347 141.303 167.286 104.935 126.011 151.377 181.868 218.472 129.020 157.253 191.735 233.791 2 85,014 158.405195.994 242.585 300,252 371.518 194.254 244.033 306.658385.3234 83.973 237.989 300.601 387.389 494.213 6 30.165 291.347 377.465 489.110 633.593 820.215 356.443 469.056 617.278 811.999 1067.280 435.861 582.630 778.771 1040.358 1388.464 532.750 723.461 982.251 1332.659 1806.003 650.955 898.092 1238.636 1706.808 2348.803 795.165 1114.634 1561.682 2185.7083054.444 1.000 2.320 4.062 6.362 9.398 13.406 18.696 25.678 34.895 47.062 63.122 84.320 112.303 149.240 197.997 262.356 347 309 459.449 607.472 802.863 1060.779 1401.229 1850.622 2443.821 3226.844 4260.434 1.000 2.400 4.360 7.104 10.946 16.324 23.853 34.395 49.153 69.814 10 98.739 11 139.235 12 195.929 13 275,300 14 386.420 15 541.988 16 759.784 17 1 064.697 18 1491.576 19 2089 206 20 2925.889 21 4097.245 22 5737.142 23 8032.999 24 11247.19925 15747.079 26 17 18 19 43.842 51.660 60.965 72.035 50.980 60.925 72.939 87.442 59.118 71.673 87.068 105.931 68.39484.141 103.740 128.117 78.969 98.603 123.414 154.740 15.380 146.628 186.688 104.768 134.841 174.021 225.026 120.436 157.415 206.345 271.031 138.297183.601 244.487 326.237 158.659 213.978 289.494 392.484 181.871 249.214 342.603 471.981 208.333 290.088 405.272 567.377 23 25.783 31.969 27.299 34.248 28.845 36.618 30.422 39.083 32.030 41.646 33.671 44.312 39.993 43.392 46.996 50.816 54.865 59.156 50.423 64.002 81.699 55.457 71.403 92.503 60.893 79.543 104,603 66.765 88.497 118.155 73.106 98.347 133.334 79.954 109.182 150.334 26 1. You have just won $46,000. How much money will you accumulate at the end of 5 years if you invest it at 8% compounded annually? At 14%? (Use factors to three decimal places, X.XXX. Round your answers to the nearest whole dollar.) There will be $ 67,574 accumulated when it is compounded annually at 8%. There will be $ 88,550 accumulated when it is compounded annually at 14%. 2. Thirteen years from now, the unpaid principal of the mortgage on your house will be $248,400. How much do you need to invest today at 4% interest compounded annually to accumulate the $248,400 in 13 years? (Use factors to three decimal places, X.XXX. Round your answer to the nearest whole dollar.) The amount that needs to be invested today is $ 149,288 3. If the unpaid mortgage on your house in 13 years will be $248,400, how much money do you need to invest at the end of each year at 4% to accumulate exactly this amount at the end of the 13th year? (Use factors to three decimal places, X.XXX. Round your answer to the nearest whole dollar.) The amount that needs to be invested at the end of each year is $ 14,940 4. You plan to save $4,700 of your earnings at the end of each year for the next 8 years. How much money will you accumulate at the end of the 8th year if you invest your savings compounded at 6% per year? (Use factors to three decimal places, X.XXX. Round your answer to the nearest whole dollar.) There will be $ 46,516 accumulated at the end of the 8th year. 5. You have just turned 65 and an endowment insurance policy has paid you a lump sum of $350,000. If you invest the sum at 6%, how much money can you withdraw from your account in equal amounts at the end of each year so that at the end of 9 years (age 74), there will be nothing left? (Use factors to three decimal places, X.XXX. Round your answer to the nearest whole dollar.) The amount that can be withdrawn at the end of each year is $ 51,455 6. You have estimated that for the first 6 years after you retire you will need a cash inflow of $45,000 at the end of each year. How much money do you need to invest at 2% at your retirement age to obtain this annual cash inflow? At 6%? (Use factors to three decimal places, X.XXX. Round your answers to the nearest whole dollar.) The amount that will need to be invested at 2% is $ 252,045 The amount that will need to be invested at 6% is $ 221.265. 7. The table provided shows two schedules of prospective operating cash inflows, each of which requires the same net initial investment of $24,500 now. The required rate of return is 6% compounded annually. All cash inflows occur at the end of each year. In terms of net present value, which plan is more desirable? Show your calculations. First find the net present value of Plan A. (Use factors to three decimal places, X.XXX. Round your answers to the nearest whole dollar. Use parentheses or a minus sign to indicate negative amounts or outflows.) Initial cash flow $ (24,500) (24,500) Net cash flow Annual cash flows 3 3,000 $ 4,000 2,670 3,360 2,000$ 1,886' Present value at 6% 7,000'S 5,544_ $ 16,500 12,326) 1,286 NPV Now find the net present value of Plan B. (Use factors to three decimal places, X.XXX. Round your answers to the nearest whole dollar. Use parentheses or a minus sign to indicate negative amounts or outflows.) Initial cash flow $ (24,500)'$ (24,500) Annual cash flows 2 3 6,500 $ 10,500$ 5,785 8,820 1 4,500 $ 4,244' Net cash flow 4 6,500 $ 5,148' _ $ 5 4,500 3,362 2,859 Present value at 6% NPV Which plan is more desirable? Plan B is more desirable because its net present value is greater