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Posted on Jul 14, 2024

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. Use the NPV method to determine whether Rouse Products should invest in the following projects: Project A: Costs $290,000 and offers seven annual net cash inflows of $52,000. Rouse Products requires an annual return of 14% on investments of this nature. Project B: Costs $390,000 and offers 10 annual net cash inflows of $73,000. Rouse Products demands an annual return of 12% 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-14%, n-7) Value 1 - 7 Present value of annuity $ 52,000 4.288 $ 222,976 0 Investment (290,000) $ Net present value of Project A (67,024) Calculate the NPV of Project B. Project B: Net Cash Annuity PV Factor Present Years Inflow (i=12%, n=10) Value 1 - 10 Present value of annuity $ 73,000 5.650 412,450 0 Investment (390,000) $ 22,450 Net present value of Project B Requirement 2. What is the maximum acceptable price to pay for each project? Maximum Acceptable Price Project A 222,976 Project $ 412,450 $ . . Use the NPV method to determine whether Rouse Products should invest in the following projects: Project A: Costs $290,000 and offers seven annual net cash inflows of $52,000. Rouse Products requires an annual return of 14% on investments of this nature Project B: Costs $390,000 and offers 10 annual net cash inflows of S73,000. Rouse Products demands an annual return of 12% 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 Net present value of Project A Calculate the NPV of Project B. Project B: Net Cash Annuity PV Factor Present Years Inflow (i=12%, n=10) Value 1 - 10 Present value of annuity $ 73,000 5.650 $ 412.450 0 Investment (390,000) Net present value of Project B 22,450 Requirement 2. What is the maximum acceptable price to pay for each project? Maximum Acceptable Price Project A $ 222,976 Project B $ 412,450 Requirement 3. What is the profitability index of each project? (Round to two decimal places, X.XX.) Select the formula, then enter the amounts to calculate the profitability index of each project. Present value of net cash inflows Initial investment Profitability Index Project A $ 222,976 290,000 0.77 Project B 412,450 390,000 1.06 CA Reference x 7% Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 8% 9% 10% 12% 14% 15% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9090.893 0.877 0.870 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.7180.694 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.636 0.592 0.572 0.5520.516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.3140.279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.1980.146 0.108 0.093 0.080 0.060 0.045 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.116 0.083 0.070 0.060 0.043 0.031 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 Period 21 0.811 0.660 0.538 0.439 0.359 0.294 0.242 0.1990.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.083 0.056 0.046 0.038 0.026 0.018 Period 23 0.795 0.634 0.507 0.4060.3260.262 0.211 0.170 0.138 0.112 0.074 0.049 0.040 0.033 0.022 0.015 Period 24 0.788 0.622 0.492 0.390 0.310 0.247 0.197 0.158 0.126 0.1020.066 0.043 0.035 0.028 0.019 0.013 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.059 0.038 0.030 0.024 0.0160.010 Period 26 0.772 0.598 0.464 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.053 0.033 0.026 0.021 0.014 0.009 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.047 0.029 0.023 0.018 0.0110.007 Period 28 0.757 0.574 0.437 0.333 0.255 0.1960.150 0.116 0.090 0.069 0.042 0.026 0.020 0.0160.010 0.006 Period 29 0.749 0.563 0.424 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 Period 30 07421 552 0412 Inang In 231 174 0 121 nga 0075 1057 n33 Innan 2015 1012 1 no 10004 Print Done i Reference . 12% Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 14% 15% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.9520.943 0.935 0.926 0.9170.909 0.893 0.877 0.870 0.862 0.847 0.833 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 | 1.808 1.783 1.759 1.736 1.6901.647 1.626 1.605 1.566 1.528 Period 3 2.9412.884 2.829 2.775 2.723 2.673 2624 2.577 2.531 2.487 2.4022.322 2.283 2.246 2.174 2.106 Period 4 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 2.798 2.690 2.589 Period 5 4.853 4.713 4.580 4.452 4.329 4212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.4864.355 4.111 3.889 3.784 3.685 3.498 3.326 Period 7 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 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.9684.639 4.487 4.344 4.078 3.837 Period 9 8.566 8. 162 7.786 7.435 7.108 6.802 6.515 6.247 5.9955.759 5.328 4.946 4.772 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.650 5.216 5.019 4.833 44944 192 Period 11 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 5.029 4.656 4.327 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 | 6.814 6.1945.660 5.421 5.197 4.793 4439 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.8425.583 5.342 4.910 4.533 Period 14 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 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.3809712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 5.575 5.0924.675 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.9746.265 5.954 5 669 5.1624.730 Period 17 15.562 14.292 13.166 12.166 11.274 10.4771 9.763 9.122 8.5448.022 7.120 6.373 6.047 5.749 5.222 4.775 Period 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.7563.201 7.250 6.467 6.128 5.818 5.2734.812 Period 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.5506.198 5.877 5.316 4.844 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.5949.818 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.649 7.5626.687 6.312 5.973 5.384 4.891 Period 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.2019.442 8.772 7.645 6.743 6.359 6.011 5.410 4.909 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.5808.8837.718 6.792 6.3996.044 5.432 4.925 Period 24 21.24318.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 7.784 6.835 6.4346.073 5.451 4.937 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.8239.077 7.843 6.8736.464 6.097 5.467 4.948 Period 26 22.795 20.121 17.877 15.983 14.375 13.003 11.826 10.8109.929 9.161 7.896 6.906 6.491 6.118 5.480 4.956 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 6.514 6.136 5.492 4.964 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 6.534 6.152 5.5024.970 Period 29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.1989.370 8.022 6.9836.551 6.166 5.510 4.975 Period 20 25 808 | 22 306 10 600 1 17 202 115 372 113 765 12 and 11 258 110 2741 0427 8.055 7 03 6.566 6.177 5517 4 979 Print Done Use the NPV method to determine whether Root Products should invest in the following projects: Project A: Costs $290,000 and offers eight annual net cash inflows of $54,000. Root Products requires an annual return of 12% on investments of this nature. Project B: Costs $400,000 and offers 9 annual net cash inflows of $72,000. Root Products demands an annual return of 10% on investments of this nature. 0 Requirements x 1. What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places. 2. What is the maximum acceptable price to pay for each project? 3. What is the profitability index of each project? Round to two decimal places. Print Done