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15% Periods Period 1 Period 2 Period 3 Period 4 Period 5 16% 18% 20% 0.862 0.847 0.833 1.605 1.566 1.528 2.246 2.174 2.106 2.690 2.589 3.274 3.127 2.991 2.798 Period 6 Period 7 Period 8 Period 9 Period 10 Present Value of Ordinary Annuity of $1 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.626 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.283 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.855 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.4864.355 4.111 3.8893.784 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.160 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.6505.216 5.019 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.1616.814 6.194 5.660 5.421 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.842 5.583 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 5.724 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 3.685 3.498 3.326 4.039 3.812 3.605 4.344 4.078 3.837 4.607 4.303 4.031 4.833 4.494 4.192 Period 11 Period 12 Period 13 Period 14 Period 15 5.029 4.656 4.327 5.197 4.793 4.439 5.342 4.910 4.533 5.468 5.008 4.611 5.575 5.092 4.675 5.954 6.047 6.128 6.198 6.259 5.669 5.1624.730 5.749 5.222 4.775 5.818 5.273 4.812 5.877 4.844 5.929 5.353 4.870 5.316 Period 16 14.718 | 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.974 6.265 Period 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.120 6.373 Period 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.250 6.467 Period 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 Period 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.0179.292 8.649 7.562 6.687 Period 22 19.660 17.658 | 15.937 14.451 13.163 12.042 11.061 10.201 9.442 8.772 7.645 6.743 Period 23 20.456 18.292 | 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.883 7.718 6.792 Period 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 7.784 6.835 Period 25 22.023 19.523 | 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 7.843 6.873 Period 26 22.795 20.12117.877 15.983 14.375 13.003) 11.826 10.8109.929 9.161 7.896 6.906 Period 27 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.027 9.237 7.943 6.935 Period 28 24.316 21.281 18.764 16.663 14.898 13.406 12.137 11.051 10.116 9.307 7.984 6.961 Period 29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.022 6.983 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.055 7.003 6.312 6.359 6.399 6.434 6.464 5.973 5.384 4.891 6.011 5.410 4.909 6.044 5.432 4.925 6.073 5.451 4.937 6.097 5.467 4.948 6.491 6.514 6.534 6.551 6.566 6.118 5.480 4.956 6.136 5.492 4.964 6.152 5.502 4.970 6.166 5.510 4.975 6.1775.517 4.979 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.244 7.105 6.642 6.233 5.548 4.997 Period 50 39.196 31.424 25.730 21.482 18.256 15.762 13.801 12.233 10.962 9.915 8.304 7.133 6.661 6.246 5.554 4.999 Present Value of $1 7% 0.935 0.873 0.816 0.763 0.713 Periods 1% 2% 3% 4% 5% 6% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 Period 7 0.933 0.871 0.813 0.760 0.7110.665 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.666 0.623 0.582 0.544 0.508 8% 9% 10% 12% 14% 15% 16% 18% 20% 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.7180.694 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.1910.162 0.429 0.388 0.350 0.287 0.237 0.215 0.1950.162 0.135 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 0.315 0.275 0.239 0.183 0.140 0.123 0.1080.084 0.065 0.475 0.444 0.415 0.388 0.362 0.339 0.317 0.296 0.277 0.258 0.292 0.270 0.250 0.232 0.215 Period 16 0.853 0.7280.623 0.534 0.458 0.394 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 Period 18 0.836 0.7000.587 0.494 0.416 0.350 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 Period 21 0.811 0.660 0.538 0.439 0.359 0.294 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 Period 23 0.795 0.634 0.507 0.406 0.326 0.262 Period 24 0.788 0.622 0.492 0.390 0.310 0.247 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 Period 26 0.772 0.598 0.464 0.361 0.281 0.220 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 Period 28 0.757 0.574 0.437 0.333 0.255 0.196 Period 29 0.749 0.563 0.424 0.321 0.243 0.185 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 0.194 0.164 0.116 0.083 0.070 0.060 0.043 0.031 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 0.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 0.150 0.123 0.083 0.056 0.046 0.038 0.026 0.018 0.138 0.112 0.074 0.049 0.040 0.033 0.022 0.015 0.126 0.102 0.066 0.043 0.035 0.028 0.019 0.013 0.116 0.092 0.059 0.038 0.030 0.024 0.0160.010 0.242 0.226 0.211 0.197 0.184 0.199 0.184 0.170 0.158 0.146 0.172 0.161 0.150 0.141 0.131 0.135 0.106 0.084 0.053 0.033 0.026 0.021 0.014 0.009 0.125 0.098 0.076 0.047 0.029 0.023 0.018 0.011 0.007 0.116 0.090 0.069 0.042 0.026 0.0200.0160.010 0.006 0.107 0.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 0.099 0.075 0.057 0.033 0.020 0.015 0.012 0.007 0.004 0.046 0.032 0.022 0.011 0.005 0.004 0.003 0.001 0.001 0.021 0.013 0.009 0.003 0.001 0.001 0.001 0.067 Period 50 0.608 0.372 0.228 0.141 0.087 0.054 0.034 Use the NPV method to determine whether Smith Products should invest in the following projects: Project A: Costs $295,000 and offers eight annual net cash inflows of $54,000. Smith Products requires an annual return of 12% on investments of this nature. Project B: Costs $380,000 and offers 10 annual net cash inflows of $75,000. Smith Products demands an annual return of 10% on investments of this nature. (Click the icon to view Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of $1 table.) . Read the requirements. Requirement 1. What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places. (Enter any factor amounts to three decimal places, X.XXX. Use parentheses or a minus sign for a negative net present value.) Caclulate the NPV (net present value) of each project. Begin by calculating the NPV of Project A. Project A: Net Cash Annuity PV Factor Present Years Inflow (i=12%, n=8) Value 1-8 Present value of annuity 0 Investment Net present value of Project A
