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For both questions, use the PV table attached. Present Value of a Lump-Sum Rate of interest per period in percent Periods 3% 5% 8% 9%

For both questions, use the PV table attached.

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Present Value of a Lump-Sum Rate of interest per period in percent Periods 3% 5% 8% 9% 10% 12% 14% 15% 16% 20% 0.971 0.952 0.925 0.917 0.909 0.893 0.877 0.870 0.862 0.833 0.943 0.907 0.857 0.842 0.826 0.797 0.770 0.756 0.743 0.694 0.915 0.864 0.794 0.772 0.751 0.712 0.675 0.658 0.640 0.579 0.889 0.823 0.735 0.708 0.683 0.635 0.592 0.572 0.552 0.482 5 0.863 0.784 0.680 0.650 0.620 0.567 0.520 0.497 0.476 0.402 0.838 0.746 0.630 0.596 0.565 0.507 0.456 0.432 0.410 0.335 0.813 0.710 0.584 0.547 0.513 0.452 0.400 0.376 0.354 0.279 8 0.789 0.677 0.540 0.502 0.467 0.404 0.350 0.327 0.305 0.233 0.766 0.645 0.500 0.460 0.424 0.360 0.308 0.284 0.263 0.194 10 0.744 0.614 0.463 0.422 0.385 0.322 0.270 0.247 0.227 0.162 12 0.701 0.557 0.397 0.356 0.319 0.257 0.208 0.187 0.169 0.112 15 0.642 0.481 0.315 0.275 0.240 0.183 0.140 0.123 0.108 0.065 16 0.623 0.458 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.054 17 0.605 0.436 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.045 18 0.587 0.416 0.250 0.212 0.180 0.130 0.095 0.080 0.069 0.038 10 0.570 0.396 0.232 0.195 0.164 0.116 0.083 0.070 0.060 0.031 20 0.554 0.377 0.215 0.178 0.149 0.104 0.073 0.061 0.051 0.026 21 0.538 0.359 0.199 0.164 0.135 0.093 0.064 0.053 0.044 0.022 24 0.492 0.310 0.158 0.126 0.102 0.066 0.043 0.035 0.028 0.013 25 0.478 0.295 0.146 0.116 0.092 0.059 0.038 0.030 0.025 0.011Present Value of an Annuity Rate of interest per period in percent Periods 3% 5% 8% 9% 10% 12% 14% 15% 16% 20% 0.971 0.952 0.925 0.917 0.909 0.893 0.877 0.870 0.862 0.833 1.914 1.860 1.783 1.759 1.736 1.690 1.647 1.625 1.605 1.528 2.829 2.723 2.577 2.531 2.487 2.402 2.322 2.283 2.245 2.107 3.717 3.546 3.312 3.240 3.170 3.037 2.914 2.855 2.798 2.589 4.580 4.330 3.993 3.890 3.790 3.605 3.433 3.352 3.274 2.991 O DO0 VALIA WN 5.417 5.075 4.623 4.486 4.355 4.111 3.889 3.785 3.685 3.325 6.230 5.786 5.206 5.033 4.868 4.564 4.288 4.160 4.039 3.605 7.020 6.463 5.747 5.535 5.335 4.968 4.639 4.487 4.344 3.837 7.786 7.108 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.031 8.530 7.722 6.710 6.418 6.145 5.650 5.216 5.019 4.833 4.193 12 9.954 8.863 7.536 7.160 6.814 6.194 5.660 5.420 5.197 4.439 15 11.938 10.380 8.560 8.060 7.606 6.810 6.142 5.847 5.575 4.675 16 12.561 10.838 8.851 8.313 7.824 6.974 6.265 5.954 5.669 4.730 17 13.166 11.274 9.122 8.544 8.022 7.120 6.373 6.047 5.749 4.775 18 13.754 1 1.690 9.372 8.755 8.201 7.250 6.467 6.128 5.818 4.812 19 14.324 12.085 9.604 8.950 8.365 7.365 6.550 6.198 5.878 4.844 20 14.877 12.462 9.818 9.129 8.514 7.470 6.623 6.259 5.929 4.870 21 15.415 12.821 10.017 9.292 8.649 7.562 6.687 6.313 5.973 4.891 25 17.413 14.094 10.675 9.823 9.077 7.843 6.873 6.464 6.097 4.948

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