Griffey & Son operates a plant in Cincinnati and is considering opening a new facility in Seattle. The initial outlay will be $3,500,000 and should produce after-tax net cash inflows of $600,000 per year for 15 years. Due to the effects of the ocean air in Seattle, however, the plant’s useful life may be only 12 years. Cost of capital (discount rate) is 14%.
Required:
1. Based on an NPV analysis, should the project be accepted if a 15-year useful life is assumed? What if a 12-year useful life is used? Use appropriate present value annuity factors from Appendix C, Table 2.
(Round final answers to the nearest whole dollar. Negative amounts should be indicated with a minus sign.)
2. How many years will be needed for the Seattle facility to earn at least a 14% return? (Hint: Use the =NPER function in Excel or the formula for the present value annuity factor given at the bottom of Appendix C, Table 2 to answer this question.)
(Do not round intermediate calculations and round final answer to 1 decimal place.)
Appendix C, Table :
Extracted text: TABLE 2 Present Value of Annuity of $1 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 20% 25% 30% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.833 0.800 0.769 2 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.528 1.440 1.361 3 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.106 1.952 1.816 4 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.589 2.362 2.166 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 2.991 2.689 2.436 6 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.326 2.951 2.643 7 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4.160 3.605 3.161 2.802 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 3.837 3.329 2.925 9. 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.031 3.463 3.019 10 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.192 3.571 3.092 11 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 4.327 3.656 3.147 12 9.385 S.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5.421 4.439 3.725 3.190 13 9.986 9.394 S.853 S.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 4.533 3.780 3.223 14 10.563 9.899 9.295 S.745 8.244 7.786 7.367 6.982 6.628 6.302 6.002 5.724 4.611 3.824 3.249 15 11.118 10.380 9.712 9.108 8.559 S.061 7.606 7.191 6.811 6.462 6.142 5.847 4.675 3.859 3.268 16 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.954 4.730 3.887 3.283 17 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 4.775 3.910 3.295 18 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 4.812 3.928 3.304 19 13.134 12.085 11.158 10.336 9.604 S.950 8.365 7.839 7.366 6.938 6.550 6.198 4.843 3.942 3.311 20 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 4.870 3.954 3.316 22 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7.645 7.170 6.743 6.359 4.909 3.970 3.323 24 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 4.937 3.981 3.327 25 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 4.948 3.985 3.329 30 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 3.995 3.332 35 18.665 16.374 14.498 12.948 11.655 10.567 9.644 8.355 S.176 7.586 7.070 6.617 4.992 3.998 3.333 40 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 3.999 3.333 Note: The present value (PV) annuity factor for N periods and a rate of r per period = [1 - (1+r)- = r. For example, for N = 5 and r= 0.10, the PV annuity factor = 3.791 (rounded).