Chapter 12 Homework @ Saved 8 772 points eBook 8 Hint G References Gravina Company is planning to spend $6,000 for a machine that it will depreciate on a straight-line basis over 10 years with no salvage value. The machine will generate additional cash revenues of $1,200 a year. Gravina will incur no additional costs except for depreciation. Its income tax rate is 35%. (For parts 3 and 4 of this question use Table 1 and Table 2.) Required: 1. What is the payback period of the proposed investment under the assumption that the cash inflows occur evenly throughout the year? Note: Round your answer to 1 decimal place. 2. What is the accounting (book) rate of return (ARR) based on the initial investment outlay? Note: Round your answer to 1 decimal place. 3. What is the maximum amount that Gravina Company should invest if it desires to earn an internal rate of return (IRR) of 15%? Note: Round your final answer to the nearest whole dollar amount. 4. What is the minimum annual (pretax) cash revenue required for the project to earn a 15% internal rate of return? Note: Round your intermediate calculations and final answer to the nearest whole dollar amount. 4. Payback period years 2. Book rate of return % 3. Maximum amount 4. Minimum annual (pretax) 8 of 13 Next > Help Save & Exit Submit TABLE 1 Present Value of $1 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 20% 25% 30% 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 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.694 0.640 0.592 3 0.889 0.864 0.840 0.816 0.794 0.772 ).751 0.731 0.712 0.693 0.675 0.658 0.579 0.512 ).455 A 0.855 .823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.482 0.410 .350 5 0.822 .784 0.747 0.713 0.681 .650 .621 0.593 0.567 0.543 0.519 0.497 0.402 0.328 ).269 6 0.790 .746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.335 0.262 0.207 7 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.279 0.210 .159 8 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.233 0.168 0.123 9 0.703 .645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 .333 0.308 0.284 0.194 0.134 0.094 10 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.162 0.107 0.073 11 0.650 .585 0.527 0.475 0.429 0.388 .350 0.317 0.287 0.261 0.237 0.215 0.135 0.086 0.056 12 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.112 0.069 0.043 13 0.601 .530 0.469 0.415 0.368 0.326 .290 0.258 0.229 0.204 0.182 0.163 0.093 0.055 0.033 14 0.577 .505 0.442 0.388 0.340 0.299 .263 0.232 0.205 0.181 0.160 0.141 0.078 0.044 0.025 15 0.555 0.481 0.417 0.362 0.315 0.275 .239 0.209 0.183 0.160 0.140 0.123 0.065 0.035 0.020 16 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.054 0.028 0.015 17 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0.093 0.045 0.023 0.012 18 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.038 0.018 0.009 19 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 860'0 0.083 0.070 0.031 0.014 0.007 20 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.026 0.012 0.005 22 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.018 0.007 0.003 24 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.013 0.005 0.002 25 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.010 0.004 0.001 30 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.004 0.001 0.000 35 0.253 0.181 0.130 0.094 0.068 0.049 0.036 0.026 0.019 0.014 0.010 0.008 0.002 0.000 0.000 40 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.001 0.000 0.000 Note: The present value (PV) factor for N periods and rate r per period = 1 + (1 + r)". For example, the PV factor for 10%, 5 years = 1 : (1 + 0.10)* =0.621 (rounded).TABLE 2 Present Value of Annuity of $1 Periods 4% 5% 6% 7% 3% 9% 10% 11% 12% 13% 14% 15% 20% 25% 30% 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 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 5 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 1.355 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 .868 4.712 4.564 4.423 4.288 4.160 3.605 3.161 2.802 8 6.733 5.463 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 1.772 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 3.306 7.887 7.499 7.139 6.805 5.495 6.207 5.938 5.687 5.453 5.234 4.327 3.656 3.147 12 9.385 8.863 3.384 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 3.853 3.358 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 3.745 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 3.559 8.061 7.606 7.191 6.811 5.462 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 3.022 7.549 7.120 5.729 6.373 6.047 4.775 3.910 3.295 18 12.659 1.690 10.828 10.059 9.372 8.756 3.201 7.702 7.250 6.840 6.467 5.128 4.812 3.928 3.304 19 13.134 12.085 11.158 10.336 9.604 8.950 3.365 7.839 7.366 6.938 6.550 6.198 4.843 3.942 3.311 20 13.590 12.462 1.470 10.594 9.818 9.129 3.514 7.963 7.469 7.025 6.623 5.259 4.870 3.954 3.316 22 14.451 13.163 12.042 11.061 10.201 9.442 3.772 8.176 7.645 7.170 5.743 .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 3.694 3.055 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 8.855 8.176 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)