Investor W has the opportunity to invest $725,000 in a new venture. The projected cash flows from the venture are as follows. Use Appendix A and Appendix B.
| Year 0 | Year 1 | Year 2 | Year 3 | Year 4 |
Initial investment | $ (725,000) | | | | |
Taxable revenue | | $ 82,500 | $ 77,500 | $ 67,500 | $ 62,500 |
Deductible expenses | | (11,100) | (11,100) | (13,200) | (13,200) |
Return of investment | | | | | 725,000 |
Before-tax net cash flow | $ (725,000) | $ 71,400 | $ 66,400 | $ 54,300 | $ 774,300 |
Investor W uses a 7 percent discount rate.
Required:
- a-1. Complete the table below to calculate NPV. Assume her marginal tax rate over the life of the investment is 15 percent.
- a-2. Should Investor W make the investment?
- b-1. Complete the table below to calculate NPV. Assume her marginal tax rate over the life of the investment is 20 percent.
- b-2. Should Investor W make the investment?
- c-1. Complete the table below to calculate NPV. Assume her marginal tax rate in years 1 and 2 is 10 percent and in years 3 and 4 is 25 percent.
- c-2. Should Investor W make the investment?PLEASE SOLVE ALL QUESTIONS
APPENDIXA Present Value of $1 Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 3% .971 .943 .915 .888 .863 .837 .813 .789 .766 .744 .722 .701 .681 .661 .642 .623 .605 .587 .570 .554 4% .962 .925 .889 .855 .822 .790 .760 .731 .703 .676 .650 .625 .601 .577 .555 .534 .513 .494 .475 .456 5% .952 .907 .864 .823 .784 .746 .711 .677 .645 .614 .585 .557 .530 .505 .481 .458 436 .416 .396 .377 6% .943 .890 .840 .792 .747 .705 .665 .627 .592 .558 527 .497 .469 .442 417 .394 .371 .350 .331 .312 7% .935 .873 .816 .763 .713 .666 .623 .582 .544 .508 .475 .444 .415 .388 .362 .339 .317 .296 .277 .258 8% .926 .857 .794 .735 .681 .630 .583 .540 .500 .463 .429 .397 .368 .340 .315 .292 .270 .250 .232 .215 9% .917 .842 .772 .708 .650 .596 .547 .502 .460 .422 .388 .356 .326 .299 .275 .252 .231 .212 .194 .178 17 18 19 20 Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 10% .909 .826 .751 .683 .621 .564 .513 .467 .424 .386 .350 .319 .290 .263 .239 .218 .198 .180 .164 .149 11% .901 .812 .731 .659 .593 .535 482 .434 .391 .352 .317 .286 .258 .232 .209 .188 .170 .153 .138 .124 12% .893 .797 .712 .636 .567 .507 .452 .404 .361 .322 .287 .257 .229 .205 .183 .163 .146 .130 .116 .104 13% .885 .783 .693 .613 .543 .480 .425 .376 .333 .295 .261 .231 .204 .181 .160 .141 .125 .111 .098 .087 14% .877 .769 .675 .592 .519 .456 .400 .351 .308 .270 .237 .208 .182 .160 .140 .123 .108 .095 .083 .073 15% .870 .756 .658 .572 .497 .432 .376 .327 .284 .247 .215 .187 .163 .141 .123 .107 .093 .081 .070 .061 20% .833 .694 .579 .482 .402 .335 .279 .233 .194 .162 .135 .112 .093 .078 .065 .054 .045 .038 .031 .026 14 15 16 17 18 19 20 APPENDIX B Present Value of Annuity of $1 8% Periods 1 2 3 4 5 6 7 8 9 10 11 3% .971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 11.938 12.561 13.166 13.754 14.324 14.877 4% .962 1.886 2.775 3.630 4.452 5.242 6.002 6.733 7.435 8.111 8.760 9.385 9.986 10.563 11.118 11.652 12.166 12.659 13.134 13.590 5% .952 1.859 2.723 3.546 4.329 5.076 5.786 6.463 7.108 7.722 8.306 8.863 9.394 9.899 10.380 10.838 11.274 11.690 12.085 12.462 6% .943 1.833 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 7.887 8.384 8.853 9.295 9.712 10.106 10.477 10.828 11.158 11.470 7% .935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 .926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 7.139 7.536 7.904 8.244 8.559 8.851 9.122 9.372 9.604 9.818 9% .917 1.759 2.531 3.240 3.890 4.486 5.033 5.535 5.995 6.418 6.805 7.161 7.487 7.786 8.061 8.313 8.544 8.756 8.950 9.129 12 13 14 15 16 17 18 19 Oo98 20 Periods 1 2 3 4 5 6 7 8 9 10 10% .909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 6.495 6.814 7.103 7.367 7.606 7.824 8.022 8.201 8.365 8.514 11% .901 1.713 2.444 3.102 3.696 4.231 4.712 5.146 5.537 5.889 6.207 6.492 6.750 6.982 7.191 7.379 7.549 7.702 7.839 7.963 12% .893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 5.328 5.650 5.938 6.194 6.424 6.628 6.811 6.974 7.120 7.250 7.366 7.469 13% .885 1.668 2.361 2.974 3.517 3.998 4.423 4.799 5.132 5.426 5.687 5.918 6.122 6.302 6.462 6.604 6.729 6.840 6.938 7.025 14% .877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 5.453 5.660 5.842 6.002 6.142 6.265 6.373 6.467 6.550 6.623 15% .870 1.626 2.283 2.855 3.352 3.784 4.160 4.487 4.772 5.019 5.234 5.421 5.583 5.724 5.847 5.954 6.047 6.128 6.198 6.259 20% .833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 4.327 4.439 4.533 4.611 4.675 4.730 4.775 4.812 4.843 4.870 11 12 13 14 15 16 17 18 19 20