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How do I solve this? Daryl Kearns saved $260,000 during the 25 years that he worked for a major corporation. Now he has retired at
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Daryl Kearns saved $260,000 during the 25 years that he worked for a major corporation. Now he has retired at the age of 50 and has begun to draw a comfortable pension check every month He wants to ensure the financial security of his retirement by investing his savings wisely and is currently considering two investment opportunities. Both investments require an initial payment of $189,500. The following table presents the estimated cash inflows for the two alternatives: Opportunity #1 Opportunity #2 Year 1 $ 55,645 103,200 Year 2 $ 58,930 109,000 Year 3 $78, 800 16,600 Year 4 $101,360 15,900 Mr. Kearns decides to use his past average return on mutual fund investments as the discount rate, it is 9 percent. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.) Required a. Compute the net present value of each opportunity. Which should Mr Kearns adopt based on the net present value approach? b. Compute the payback period for each opportunity which should Mr. Kearns adopt based on the payback approach? TABLE 1 PRESENT VALUE OF $1 1 n 4% 5% 6% 7% 89 998 0.961538 0.952381 0.943396 0.934579 0.925926 0.917431 20.924556 0.907029 0.889996 0.873439 0.857339 0.841680 3 0.888996 0.863838 0.839619 0.816298 0.793832 0.772183 4 0.854804 0.822702 0.792094 0.762895 0.735030 0.708425 5 0.821927 0.783526 0.747258 0.712986 0.680583 0.649931 6 0.790315 0.746215 0.704961 0.666342 0.630170 0.596267 7 0.759918 0.710681 0.665057 0.622750 0.583490 0.547034 8 0.730690 0.676839 0.627412 0.582009 0.540269 0.501866 9 0.702587 0.644609 0.591898 0.543934 0.500249 0.460428 10 0.675564 0.613913 0.558395 0.508349 0.463193 0.422411 11 0.649581 0.584679 0.526788 0.475093 0.428883 0.387533 12 0.624597 0.556837 0.496969 0.444012 0.397114 0.355535 13 0.600574 0.530321 0.468839 0.414964 0.367698 0.326179 14 0.577475 0.505068 0.442301 0.387817 0.340461 0.299246 15 0.555265 0.481017 0.417265 0.362446 0.315242 0.274538 16 0.533908 0.458112 0.393646 0.338735 0.291890 0.251870 17 0.513373 0.436297 0.371364 0.316574 0.270269 0.231073 18 0.493628 0.415521 0.350344 0.295864 0.250249 0.211994 19 0.474642 0.395734 0.330513 0.276508 0.231712 0.194490 0.456387 0.376889 0.311805 0.258419 0.214548 0.178431 10% 12% 14% 16% 20% 0.909091 0.892857 0.877193 0.862069 0.833333 0.826446 0.797194 0.769468 0.743163 0.694444 0.751315 0.711780 0.674972 0.640658 0.578704 0.683013 0.635518 0.592080 0.552291 0.482253 0.620921 0.567427 0.519369 0.476113 0.401878 0.564474 0.506631 0.455587 0.410442 0.334898 0.513158 0452349 0.399637 0.353830 0.279082 0.466507 0.403883 0.350559 0.305025 0.232568 0.424098 0.360610 0.307508 0.262953 0.193807 0.385543 0.321973 0.269744 0.226684 0.161506 0.350494 0.287476 0.236617 0.195417 0.134588 0.318631 0.256675 0.207559 0.168463 0.112157 0.289664 0.229174 0.182069 0.145227 0.093464 0.263331 0.204620 0.159710 0.125195 0.077887 0.239392 0.182696 0.140096 0.107927 0.064905 0.217629 0.163122 0.122892 0.093041 0.054088 0.197845 0.145644 0.107800 0.080207 0.045073 0.179859 0.130040 0.094561 0.069144 0.037561 0.163508 0.116107 0.082948 0.059607 0.031301 0.148644 0.103667 0.072762 0.051385 0.026084 20 TABLE 2 PRESENT VALUE OF AN ANNUITY OF $1 n 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 20% 0.961538 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 2 1.886095 1.859410 1.833393 1.808018 1.783265 1.759111 1.735537 1.690051 1.646661 1.605232 1.527778 3 2.775091 2.723248 2.673012 2.624316 2.577097 2.531295 2.486852 2.401831 2.321632 2.245890 2.106481 4 3.629895 3.545951 3.465106 3.387211 3.312127 3.239720 3.169865 3.037349 2.913712 2.798181 2.588735 4.451822 4.329477 4.212364 4.100197 3.992710 3.889651 3.790787 3.604776 3.433081 3.274294 2.990612 6 5.242137 5.075692 4.917324 4.766540 4.622880 4.485919 4.355261 4.111407 3.888668 3.684736 3.325510 7 6.002055 5.786373 5.582381 5.389289 5.206370 5.032953 4.868419 4.563757 4.288305 4.038565 3.604592 8 6.732745 6.463213 6.209794 5.971299 5.746639 5.534819 5.334926 4.967640 4.638864 4.343591 3.837160 9 7.435332 7.107822 6.801692 6.515232 6.246888 5.995247 5759024 5.328250 4.946372 4.606544 4.030967 10 8.110896 7.721735 7.360087 7.023582 6.710081 6.417658 6.1445675.650223 5.216116 4.833227 4.192472 11 8.760477 8.306414 7.886875 7498674 7.138964 6.805191 6495061 5.937699 5.452733 5.028644 4.327060 12 9.385074 8.863252 8.383844 7.942686 7.536078 7160725 6.813692 6.194374 5.660292 5.197107 4.439217 13 9.985648 9.393573 8.852683 8.357651 7903776 7486904 7.103356 6.423548 5.842362 5.342334 4.532681 14 10.563123 9.898641 9.294984 8.745468 8.244237 7.786150 7.366687 6,628168 6.002072 5.467529 4.610567 15 11.118387 10.379658 9.712249 9.107914 8.559479 8060688 7606080 6.810864 6.142168 5.575456 4.675473 16 11.652296 10.837770 10.105895 9.446649 8.851369 8.312558 7.823709 6.973986 6.265060 5.668497 4.729561 17 12.165669 11.274066 10.477260 9.763223 9.121638 8.543631 8.021553 7.119630 6.372859 5.748704 4.774634 18 12.659297 11.689587 10.827603 10.059087 9.371887 8.755625 8.201412 7.249670 6.467420 5.817848 4.812195 19 13.133939 12.085321 11.158116 10.335595 9.603599 8.905115 8.364920 7.365777 6.550369 5.877455 4.843496 20 13.590326 12.462210 11.469921 10.594014 9.818147 9128546 8.513564 7.469444 6.623131 5.928841 4.869580 Required A Required B Compute the net present value of each opportunity. Which should Mr. Kearns adopt based on the net present value approach? (Round your intermediate calculations and final answer to two decimal places.) Net Present Value Opportunity 1 Opportunity 2 Which opportunity should be chosen? Opportunity 1Step by Step Solution
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