Question
A firms cost of capital is 10 percent. The firm has three investments to choose among; the cash flows of each are as follows: Cash
A firms cost of capital is 10 percent. The firm has three investments to choose among; the cash flows of each are as follows:
Cash Inflows
Year
A
B
C
Each investment requires a $1,500 cash outlay, and investments B and C are mutually exclusive. Use Appendix A, Appendix B and Appendix D to answer the questions. Assume that the investments are not mutually exclusive and there are no budget restrictions.
a. Which investment(s) should the firm make according to the net present values? Use a minus sign to enter negative values, if any. Round your answers to the nearest dollar.
A: $ B: $ C: $
b. Which investment(s) should the firm make according to the internal rates of return? Round your answers to the nearest whole number.
A: % B: % C: %
If all funds from investment C are reinvested at 14 percent, which investment(s) should the firm make? Round your answer to the nearest dollar.
Terminal value of investment C: $
Would your answer be different if the reinvestment rate were 10 percent? Round your answer to the nearest dollar. T
erminal value of investment C: $ .
Interest Factors for the Present Value of One Dollar Time Period (e.g. year) 1 1% 2% 7% NM 990 980 .971 961 .951 3% 4% 980 971 962 1961 .943 925 .942 .915 .889 924 889 855 .906 863 822 5% 952 907 .864 .823 .784 6% .943 .890 .840 .792 .747 935 .873 .816 .763 .713 8% .926 .857 .794 .735 .681 9% 917 .842 .772 .708 .650 10% 12% 14% 15% .909.893 .877 870 .826 .797 .769 .756 .751 .712 .675 .658 .683 .636 592 .572 .621 .567 519 497 16% .862 .743 .641 .552 476 18% .847 .718 .609 1516 437 20% .833 .694 .579 482 402 24% .806 .650 .524 423 .341 28% .781 .610 477 373 291 4 5 6 7 8 9 10 942 933 923 914 905 .888 838 790 .746 .705.666 630 .871 .813 .760 .711 .665.623 583 .853 .789 .731 677 627 582 .540 .837 .766 .703 645 592 544 .500 .820 .744 .676 614 558 508 463 596 .547 -502 460 .422 564 507 1513 452 467 .404 424 361 .386 .322 .456 .432 400 376 .351 327 .308 .284 .270 247 .410 .370 335 .354 .314 .279 .305 266 233 .263 226 .194 .227 191 .162 .275 .222 .179 .144 .116 .227 .178 .139 . 108 .085 11 12 13 14 15 .896 .887 .879 .870 .861 .804 .788 .773 .758 .743 .722 .701 .681 .661 .642 .650 .625 .601 .577 .555 .585 .557 .530 .505 .481 .527 .497 469 .442 417 475 .444 415 388 362 .429 .397 .368 .340 315 .388 .356 326 .299 .275 .350 .319 .290 .263 .239 .287 .257 .229 .205 .183 .237 .208 .182 .160 .140 .215 .187 .163 .141 .123 .195 .168 .145 .125 .108 .162 .137 .116 .099 .084 .135 .112 .093 .078 .065 .094 .076 .061 .049 .040 .066 .052 .040 .032 .025 16 17 18 19 20 .853 .844 .836 .828 .820 .728 .714 .700 .686 .673 .623 .605 .587 .570 .554 .534 .513 1494 475 456 .458 436 416 396 377 .394 .371 350 .331 .312 339 317 .296 .276 .258 .292 .270 .250 .232 .215 .252 .231 .212 .194 .178 .218 .198 .180 .164 .149 .163 .146 .130 .116 .104 .123 .107.093 071 .054 .032 .019 .108.093 .080 .060 .045 .026 .015 .095 .081 .069 .051 038 021 .012 .083 .070 ,060 .043 031 .017 .009 .073 .061 .051.037 .026 .014 .007 25 .780 .610 .478 .375 .295 .233 .184 -146 .116 .092 .059 .038 .030 .024 .016 .010 .005 .002 30 .742 .552 -412 308 .231 .174 .131 .099 .075 .057.033 .020 .015 .012 .007 .004 .002 .001 Interest Factors for the Present Value of an Annuity of One Dollar Time Period (e.g.. year) 1 2 3 4 5 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 18% 20% 24% 28% 32% 36% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.862 0.847 0.833 0.806 0.781 0.758 0.735 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.605 1.566 1.528 1.457 1.392 1.332 1.276 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.246 2.174 2.106 1.981 1.868 1.766 1.674 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.798 2.690 2.589 2.404 2.241 2.096 1.966 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.274 3.127 2.991 2.745 2.532 2.345 2.181 6 5.795 5.601 5.417 5.242 5.076 4.917 4.766 4.623 4.486 4.355 4.111 3.889 3.685 3.498 3.326 3.020 2.759 2.534 2.399 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 4.039 3.812 3.605 3.242 2.937 2.678 2.455 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.344 4.078 3.837 3.421 3.076 2.786 2.540 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.985 5.759 5.328 4.946 4.607 4.303 4.031 3.566 3.184 2.868 2.603 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 4.833 4.494 4.193 3.682 3.269 2.930 2.650 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.988 5.453 5.029 4.656 4.327 3.776 3.335 2.978 2.683 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.197 4.793 4.439 3.851 3.387 3.013 2.708 13 12.134 11.348 10.635 9.986 9.394 8.534 8.358 7.904 7.487 7.103 6.424 5.842 5.342 4.910 4.533 3.912 3.427 3.040 2.727 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 5.468 5.008 4.611 3.962 3.459 3.061 2.740 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.060 7.606 6.811 6.142 5.575 5.092 4.675 4.001 3.483 3.076 2.750 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.312 7.824 6.974 6.265 5.669 5.162 4.730 4.003 3.503 3.088 2.758 17 5.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.002 7.120 6.373 5.749 5.22 4.775 4.059 3.518 3.097 2.763 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.2017.250 6.467 5.818 5.273 4.812 4.080 3.529 3.104 2.767 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 5.877 5.316 4.844 4.097 3.539 3.109 2.770 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.128 8.514 7.469 6.623 5.929 5.353 4.870 4.110 3.546 3.113 2.772 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 6.097 5.467 4.948 4.147 3.564 3.122 2.776 30 25.808 22.937 19.600 17.292 15.373 13.765 12.409 11.258 10.274 9.427 8.055 7.003 6.177 5.517 4.979 4.160 3.569 3.124 2.778 Interest Factors for the Future Value of One Dollar Time Period (e.g., year) 1 2 3 4 5 1% 2% 3% 4% 5% 6% 7% 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.020 1.040 1.061 1.082 1.102 1.124 1.145 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.051 1.104 1.159 1.217 1.276 1.338 1.403 8% 9% 1.080 1.090 1.166 1.188 1.260 1.295 1.360 1.412 1.469 1.539 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 15% 1.150 1.322 1.521 1.749 2.011 16% 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2.288 20% 1.200 1.440 1.728 2.074 2.488 6 7 8 9 10 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.105 1.219 1.344 1.480 1.629 1.791 1.967 1.587 1.714 1.851 1.999 2.159 1.677 1.828 1.993 2.172 2.367 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 2.313 2.660 3.059 3.518 4.046 2.436 2.826 3.278 3.803 4.411 2.700 3.186 3.759 4.436 5.234 2.986 3.583 4.300 5.160 6.192 11 12 13 14 15 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 2.580 2.813 3.066 3.342 3.642 2.853 3.138 3.452 3.797 4.177 3.479 4.226 3.896 4.818 4.363 5.492 4.887 6.261 5.474 7.138 4.652 5.117 5.350 5.936 6.153 6.886 7.076 7.988 8.137 9.266 6.176 7.430 7.287 8.916 8.599 10.699 10.147 12.839 11.973 15.407 16 17 18 19 20 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 3.970 4.328 4.717 5.142 5.604 4.595 6.130 8.137 9.358 10.748 5.054 6.866 9.276 10.761 12.468 5.560 7.690 10.575 12.375 14.463 6.116 8.613 12.056 14.232 16.777 6.728 9.646 13.743 16.367 19.461 14.129 16.672 19.673 23.214 27.393 18.488 22.186 26.623 31.948 38.337 25 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6.848 8.623 10.835 17.000 26.462 32.919 40.874 62.688 95.396 30 1.348 1.811 2.427 3.243 4.322 5.743 7.612 10.063 13.268 17.449 29.960 50.950 66.212 85.850 143.370 237.370 Interest Factors for the Present Value of One Dollar Time Period (e.g. year) 1 1% 2% 7% NM 990 980 .971 961 .951 3% 4% 980 971 962 1961 .943 925 .942 .915 .889 924 889 855 .906 863 822 5% 952 907 .864 .823 .784 6% .943 .890 .840 .792 .747 935 .873 .816 .763 .713 8% .926 .857 .794 .735 .681 9% 917 .842 .772 .708 .650 10% 12% 14% 15% .909.893 .877 870 .826 .797 .769 .756 .751 .712 .675 .658 .683 .636 592 .572 .621 .567 519 497 16% .862 .743 .641 .552 476 18% .847 .718 .609 1516 437 20% .833 .694 .579 482 402 24% .806 .650 .524 423 .341 28% .781 .610 477 373 291 4 5 6 7 8 9 10 942 933 923 914 905 .888 838 790 .746 .705.666 630 .871 .813 .760 .711 .665.623 583 .853 .789 .731 677 627 582 .540 .837 .766 .703 645 592 544 .500 .820 .744 .676 614 558 508 463 596 .547 -502 460 .422 564 507 1513 452 467 .404 424 361 .386 .322 .456 .432 400 376 .351 327 .308 .284 .270 247 .410 .370 335 .354 .314 .279 .305 266 233 .263 226 .194 .227 191 .162 .275 .222 .179 .144 .116 .227 .178 .139 . 108 .085 11 12 13 14 15 .896 .887 .879 .870 .861 .804 .788 .773 .758 .743 .722 .701 .681 .661 .642 .650 .625 .601 .577 .555 .585 .557 .530 .505 .481 .527 .497 469 .442 417 475 .444 415 388 362 .429 .397 .368 .340 315 .388 .356 326 .299 .275 .350 .319 .290 .263 .239 .287 .257 .229 .205 .183 .237 .208 .182 .160 .140 .215 .187 .163 .141 .123 .195 .168 .145 .125 .108 .162 .137 .116 .099 .084 .135 .112 .093 .078 .065 .094 .076 .061 .049 .040 .066 .052 .040 .032 .025 16 17 18 19 20 .853 .844 .836 .828 .820 .728 .714 .700 .686 .673 .623 .605 .587 .570 .554 .534 .513 1494 475 456 .458 436 416 396 377 .394 .371 350 .331 .312 339 317 .296 .276 .258 .292 .270 .250 .232 .215 .252 .231 .212 .194 .178 .218 .198 .180 .164 .149 .163 .146 .130 .116 .104 .123 .107.093 071 .054 .032 .019 .108.093 .080 .060 .045 .026 .015 .095 .081 .069 .051 038 021 .012 .083 .070 ,060 .043 031 .017 .009 .073 .061 .051.037 .026 .014 .007 25 .780 .610 .478 .375 .295 .233 .184 -146 .116 .092 .059 .038 .030 .024 .016 .010 .005 .002 30 .742 .552 -412 308 .231 .174 .131 .099 .075 .057.033 .020 .015 .012 .007 .004 .002 .001 Interest Factors for the Present Value of an Annuity of One Dollar Time Period (e.g.. year) 1 2 3 4 5 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 18% 20% 24% 28% 32% 36% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.862 0.847 0.833 0.806 0.781 0.758 0.735 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.605 1.566 1.528 1.457 1.392 1.332 1.276 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.246 2.174 2.106 1.981 1.868 1.766 1.674 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.798 2.690 2.589 2.404 2.241 2.096 1.966 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.274 3.127 2.991 2.745 2.532 2.345 2.181 6 5.795 5.601 5.417 5.242 5.076 4.917 4.766 4.623 4.486 4.355 4.111 3.889 3.685 3.498 3.326 3.020 2.759 2.534 2.399 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 4.039 3.812 3.605 3.242 2.937 2.678 2.455 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.344 4.078 3.837 3.421 3.076 2.786 2.540 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.985 5.759 5.328 4.946 4.607 4.303 4.031 3.566 3.184 2.868 2.603 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 4.833 4.494 4.193 3.682 3.269 2.930 2.650 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.988 5.453 5.029 4.656 4.327 3.776 3.335 2.978 2.683 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.197 4.793 4.439 3.851 3.387 3.013 2.708 13 12.134 11.348 10.635 9.986 9.394 8.534 8.358 7.904 7.487 7.103 6.424 5.842 5.342 4.910 4.533 3.912 3.427 3.040 2.727 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 5.468 5.008 4.611 3.962 3.459 3.061 2.740 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.060 7.606 6.811 6.142 5.575 5.092 4.675 4.001 3.483 3.076 2.750 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.312 7.824 6.974 6.265 5.669 5.162 4.730 4.003 3.503 3.088 2.758 17 5.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.002 7.120 6.373 5.749 5.22 4.775 4.059 3.518 3.097 2.763 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.2017.250 6.467 5.818 5.273 4.812 4.080 3.529 3.104 2.767 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 5.877 5.316 4.844 4.097 3.539 3.109 2.770 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.128 8.514 7.469 6.623 5.929 5.353 4.870 4.110 3.546 3.113 2.772 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 6.097 5.467 4.948 4.147 3.564 3.122 2.776 30 25.808 22.937 19.600 17.292 15.373 13.765 12.409 11.258 10.274 9.427 8.055 7.003 6.177 5.517 4.979 4.160 3.569 3.124 2.778 Interest Factors for the Future Value of One Dollar Time Period (e.g., year) 1 2 3 4 5 1% 2% 3% 4% 5% 6% 7% 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.020 1.040 1.061 1.082 1.102 1.124 1.145 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.051 1.104 1.159 1.217 1.276 1.338 1.403 8% 9% 1.080 1.090 1.166 1.188 1.260 1.295 1.360 1.412 1.469 1.539 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 15% 1.150 1.322 1.521 1.749 2.011 16% 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2.288 20% 1.200 1.440 1.728 2.074 2.488 6 7 8 9 10 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.105 1.219 1.344 1.480 1.629 1.791 1.967 1.587 1.714 1.851 1.999 2.159 1.677 1.828 1.993 2.172 2.367 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 2.313 2.660 3.059 3.518 4.046 2.436 2.826 3.278 3.803 4.411 2.700 3.186 3.759 4.436 5.234 2.986 3.583 4.300 5.160 6.192 11 12 13 14 15 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 2.580 2.813 3.066 3.342 3.642 2.853 3.138 3.452 3.797 4.177 3.479 4.226 3.896 4.818 4.363 5.492 4.887 6.261 5.474 7.138 4.652 5.117 5.350 5.936 6.153 6.886 7.076 7.988 8.137 9.266 6.176 7.430 7.287 8.916 8.599 10.699 10.147 12.839 11.973 15.407 16 17 18 19 20 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 3.970 4.328 4.717 5.142 5.604 4.595 6.130 8.137 9.358 10.748 5.054 6.866 9.276 10.761 12.468 5.560 7.690 10.575 12.375 14.463 6.116 8.613 12.056 14.232 16.777 6.728 9.646 13.743 16.367 19.461 14.129 16.672 19.673 23.214 27.393 18.488 22.186 26.623 31.948 38.337 25 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6.848 8.623 10.835 17.000 26.462 32.919 40.874 62.688 95.396 30 1.348 1.811 2.427 3.243 4.322 5.743 7.612 10.063 13.268 17.449 29.960 50.950 66.212 85.850 143.370 237.370Step by Step Solution
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