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Consider how Pine Valley, a popular ski resort, could use capital budgeting to decide whether the $8.5 million Snow Park Lodge expansion would be a
Consider how Pine Valley, a popular ski resort, could use capital budgeting to decide whether the $8.5 million Snow Park Lodge expansion would be a good investment. (Click the icon to view the expansion estimates.) (Click the icon to view the present value annuity factor table.) (Click the icon to view the present value factor table.) (Click the icon to view the future value annuity factor table.) (Click the icon to view the future value factor table.) Read the requirements. Requirement 1. What is the project's NPV? Is the investment attractive? Why or why not? Calculate the net present value of the expansion. (Round your answer to the nearest whole dollar. Use parentheses or a minus sign for a negative net present value.) Net present value of expansion 1897320 Data Table Assume that Pine Valley's managers developed the following estimates concerning a planned expansion to its Snow Park Lodge (all numbers assumed): Number of additional skiers per day... 120 Average number of days per year that weather conditions allow skiing at Pine Valley.. 163 Useful life of expansion (in years) 9 Average cash spent by each skier per day...... $ 243 Average variable cost of serving each skier per day . $ 146 Cost of expansion. $ 8,500,000 Discount rate... 10% Assume that Pine Valley uses the straight-line depreciation method and expects the lodge expansion to have a residual value of $950,000 at the end of its nine-year life. It has already calculated the average annual net cash inflow per year to be $1,897,320. Print Done Reference Reference 18% 0.847 1.566 2.174 2.690 3.127 | Present Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 1.783 1.736 1.690 1.647 1.605 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.246 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 Period 5 4.853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 Period 6 5.795 5.601 5.417 5.2425.076 4.917 4.623 4.355 4.111 3.889 3.685 Period 7 6.728 6.472 6.230 6.002 5.786 5.5825.206 4.868 4.564 4.288 4.039 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 4.639 4.344 Period 9 8.566 8.1627.786 7.435 7.108 6.8026.247 5.759 5.328 4.946 4.607 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 5.216 4.833 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 5.453 5.029 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 5.660 5.197 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 5.342 Period 14| 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.367 6.628 6.002 5.468 Period 15 13.865 12.849 11.938 11.118 10.380 9.7128.559 7.606 6.811 6.142 5.575 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.469 6.623 5.929 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 6.873 6.097 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.427 8.055 7.003 6.177 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 6.233 3.498 3.812 4.078 4.303 4.494 4.656 4.793 4.910 5.008 5.092 5.353 5.467 5.517 5.548 Print Done Reference Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 8% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.857 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.794 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.735 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.630 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.583 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.500 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.463 10% 0.909 0.826 0.751 0.683 0.621 12% 14% 0.893 0.877 0.797 0.769 0.712 0.675 0.636 0.592 0.567 0.519 16% 18 0.862 0.8 0.743 0.7 0.641 0.6 0.552 0.5 0.476 0.4 0.564 0.513 0.467 0.424 0.386 0.507 0.452 0.404 0.361 0.322 0.456 0.400 0.351 0.308 0.270 0.410 0.3 0.354 0.3 0.305 0.2 0.263 0.2 0.227 0.1 Period 110.896 Period 12 0.887 Period 13 0.879 Period 14 0.870 Period 15 0.861 0.8040.722 0.650 0.585 0.527 0.429 0.788 0.701 0.625 0.557 0.497 0.397 0.773 0.681 0.601 0.530 0.469 0.368 0.758 0.661 0.577 0.505 0.442 0.340 0.743 0.642 0.555 0.481 0.417 0.315 0.350 0.319 0.290 0.263 0.239 0.287 0.257 0.229 0.205 0.183 0.237 0.208 0.182 0.160 0.140 0.195 0.1 0.168 0.1 0.145 0.1 0.125 0.0 0.108 0.0 ooooo Period 200.820 0.673 0.554 0.456 0.377 0.312 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 Period 400.672 0.453 0.307 0.208 0.142 0.097 0.215 0.146 0.099 0.046 0.149 0.092 0.057 0.022 0.104 0.059 0.033 0.011 0.073 0.038 0.020 0.005 0.051 0.024 0.012 0.003 0.0 0.0 0.C 0.C Print Done - Reference Future Value of Annuity of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 1.000 2.010 3.030 4.060 5.101 2% 1.000 2.020 3.060 4.122 5.204 3% 1.000 2.030 3.091 4.184 5.309 4% 1.000 2.040 3.122 4.246 5.416 5% 1.000 2.050 3.153 4.310 5.526 6% 1.000 2.060 3.184 4.375 5.637 8% 1.000 2.080 3.246 4.506 5.867 10% 1.000 2.100 3.310 4.641 6.105 12% 1.000 2.120 3.374 4.779 6.353 14% 1.000 2.140 3.440 4.921 6.610 OWN 2 3 5 6 Period 6 Period 7 Period 8 Period 9 Period 10 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.716 8.115 7.214 7.434 7.662 7.898 8.142 8.394 8.923 9.487 10.089 8.286 8.583 8.892 9.214 9.549 9.897 10.637 11.436 12.300 9.369 9.755 10.159 10.583 11.027 11.491 12.488 13.579 14.776 10.462 10.950 11.464 12.006 12.578 13.181 14.487 15.937 17.549 8.536 10.730 13.233 16.085 19.337 1 14 11 2 AWWN Period 11 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 23.045 Period 12 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 27.271 31 Period 13 13.809 14.680 15.618 16.627 | 17.713 18.882 21.495 24.523 28.029 32.089 Period 14 14.94715.974 17.086 18.292 19.599 21.015 24.215 27.975 32.393 37.581 4 Period 15 16.097 17.29318.599 20.024 21.579 23.276 27.152 31.772 37.280 43.842 5 Period 20 22.019 24.297 26.870 29.778 33.066 36.786 45.762 57.275 72.052 91.025 11 Period 25 28.243 32.030 36.459 41.646 47.727 54.865 73.106 98.347 133.334 181.871 24 Period 30 34.785 40.568 47.575 56.085 66.43979.058 113.283 164.494 241.333 356.787 53 Period 40 48.886 60.402 75.401 95.026 120.800 154.762 259.057 442.593 767.091|1,342.025 2,3 Print Done Reference Future Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 1.010 1.020 1.030 1.041 1.051 2% 1.020 1.040 1.061 1.082 1.104 3% 1.030 1.061 1.093 1.126 1.159 4% 1.040 1.082 1.125 1.170 1.217 5% 1.050 1.103 1.158 1.216 1.276 6% 1.060 1.124 1.191 1.262 1.338 8% 1.080 1.166 1.260 1.360 1.469 10% 1.100 1.210 1.331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 1.140 1.300 1.482 1.689 1.925 16% 1.160 1.346 1.561 1.811 2.100 or Period 6 Period 7 Period 8 Period 9 Period 10 1.062 1.072 1.083 1.094 1.105 1.126 1.149 1.172 1.195 1.219 1.194 1.230 1.267 1.305 1.344 1.265 1.316 1.369 1.423 1.480 1.340 1.407 1.477 1.551 1.629 1.419 1.504 1.594 1.689 1.791 1.587 1.714 1.851 1.999 2.159 1.772 1.949 2.144 2.358 2.594 1.974 2.211 2.476 2.773 3.106 2.195 2.502 2.853 3.252 3.707 2.436 2.826 3.278 3.803 4.411 Period 11 Period 12 Period 13 Period 14 Period 15 1.116 1.127 1.138 1.149 1.161 1.243 1.268 1.294 1.319 1.346 1.384 1.426 1.469 1.513 1.558 1.539 1.601 1.665 1.732 1.801 1.710 1.796 1.886 1.980 2.079 1.898 2.012 2.133 2.261 2.397 2.332 2.518 2.720 2.937 3.172 2.853 3.138 3.452 3.797 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 5.117 5.936 6.886 7.988 9.266 Period 20 Period 25 Period 30 Period 40 1.220 1.282 1.348 1.489 1.486 1.641 1.811 2.208 1.806 2.094 2.427 3.262 2.191 2.666 3.243 4.801 2.653 3.386 4.322 7.040 3.207 4.661 6.727 9.646 13.743 19.46 4.292 6.848 10.835 17.000 26.462 40.87 5.743 10.063 17.449 29.960 50.950 85.85 10.286 21.725 45.259 93.051 188.884 378.72 Print Done Requirements 1. What is the project's NPV? Is the investment attractive? Why or why not? 2. Assume the expansion has no residual value. What is the project's NPV? Is the investment still attractive? Why or why not? Print Done Data Table Assume that Pine Valley's managers developed the following estimates concerning a planned expansion to its Snow Park Lodge (all numbers assumed): Number of additional skiers per day. 120 Average number of days per year that weather conditions allow skiing at Pine Valley.. 163 Useful life of expansion (in years) 9 Average cash spent by each skier per day....... 243 Average variable cost of serving each skier per day . $ 146 Cost of expansion $ 8,500,000 Discount rate 10% Assume that Pine Valley uses the straight-line depreciation method and expects the lodge expansion to have a residual value of $950,000 at the end of its nine-year life. It has already calculated the average annual net cash inflow per year to be $1,897,320. Print Done
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