Brett Collins is reviewing his company's investment in a cement plant. The company paid $10,700,000 five...
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Brett Collins is reviewing his company's investment in a cement plant. The company paid $10,700,000 five years ago to acquire the plant. Now top management is considering an opportunity to sell it. The president wants to know whether the plant has met original expectations before he decides its fate. The company's desired rate of return for present value computations is 10 percent. Expected and actual cash flows follow: (PV of $1 and PVA of $1 Note: Use appropriate factor(s) from the tables provided. Expected Actual Year 1 $2,700,000 2,214,000 Year 2 $3,990,000 2,473,800 Year 3 $3,620,000 3,909,600 Year 4 Year 5 $4,029,900 $3,260,000 3,143,322 2,803,600 Required a.&b. Compute the net present value of the expected and actual cash flows as of the beginning of the investment. Note: Negative amounts should be indicated by a minus sign. Round your intermediate calculations and final answers to the nearest whole dollar. Net present value (expected) Net present value (actual) TABLE 1 Present Value of $1 n 4% 0.961538 5123456 7 8 9 10 11 12 13 6% 0.943396 16% 20% 0.862069 0.833333 5% 7% 8% 9% 10% 12% 14% 0.952381 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.924556 0.907029 0.889996 0.873439 0.857339 0.84168 0.826446 0.797194 0.769468 0.743163 0.694444 0.888996 0.863838 0.839619 0.816298 0.793832 0.772183 0.751315 0.711780 0.674972 0.640658 0.578704 0.854804 0.822702 0.792094 0.762895 0.735030 0.708425 0.683013 0.635518 0.592080 0.552291 0.482253 0.821927 0.783526 0.747258 0.712986 0.680583 0.649931 0.620921 0.567427 0.519369 0.476113 0.401878 0.790315 0.746215 0.704961 0.666342 0.630170 0.596267 0.564474 0.506631 0.455587 0.410442 0.334898 0.759918 0.710681 0.665057 0.622750 0.583490 0.547034 0.513158 0.452349 0.399637 0.353830 0.279082 0.730690 0.676839 0.627412 0.582009 0.540269 0.501866 0.466507 0.403883 0.350559 0.305025 0.232568 0.702587 0.644609 0.591898 0.543934 0.500249 0.460428 0.424098 0.360610 0.307508 0.262953 0.193807 0.675564 0.613913 0.558395 0.508349 0.463193 0.422411 0.385543 0.321973 0.269744 0.226684 0.161506 0.649581 0.584679 0.526788 0.475093 0.428883 0.387533 0.350494 0.287476 0.236617 0.195417 0.134588 0.624597 0.556837 0.496969 0.444012 0.397114 0.355535 0.318631 0.256675 0.207559 0.168463 0.112157 0.600574 0.530321 0.468839 0.414964 0.367698 0.326179 0.289664 0.229174 0.182069 0.145227 0.093464 0.577475 0.505068 0.442301 0.387817 0.340461 0.299246 0.263331 0.204620 0.159710 0.125195 0.077887 0.555265 0.481017 0.417265 0.362446 0.315242 0.274538 0.239392 0.182696 0.140096 0.107927 0.064905 0.533908 0.458112 0.393646 0.338735 0.291890 0.251870 0.217629 0.163122 0.122892 0.093041 0.054088 0.513373 0.436297 0.371364 0.316574 0.270269 0.231073 0.197845 0.145644 0.107800 0.080207 0.045073 0.493628 0.415521 0.350344 0.295864 0.250249 0.211994 0.179859 0.130040 0.094561 0.069144 0.037561 19 0.474642 0.395734 0.330513 0.276508 0.231712 0.194490 0.163508 0.116107 0.082948 0.059607 0.031301 20 0.456387 0.376889 0.311805 0.258419 0.214548 0.178431 0.148644 0.103667 0.072762 0.051385 0.026084 14 15 16 17 18 122 TABLE 2 Present Value of an Annuity of $1 n 4% 0.961538 1123. 4 7 569820 5% 8% 6% 7% 9% 10% 12% 14% 16% 20% 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 1.886095 1.859410 1.833393 1.808018 1.783265 1.759111 1.735537 1.690051 1.646661 1.605232 1.527778 2.775091 2.723248 2.673012 2.624316 2.577097 2.531295 2.486852 2.401831 2.321632 2.24589 2.106481 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 5.242137 5.075692 4.917324 4.766540 4.622880 4.485919 4.355261 4.111407 3.888668 3.684736 3.325510 6.002055 5.786373 5.582381 5.389289 5.206370 5.032953 4.868419 4.563757 4.288305 4.038565 3.604592 6.732745 6.463213 6.209794 5.971299 5.746639 5.534819 5.334926 4.967640 4.638864 4.343591 3.837160 7.435332 7.107822 6.801692 6.515232 6.246888 5.995247 5.759024 5.328250 4.946372 4.606544 4.030967 10 8.110896 7.721735 7.360087 7.023582 6.710081 6.417658 6.144567 5.650223 5.216116 4.833227 4.192472 11 8.760477 8.306414 7.886875 7.498674 7.138964 6.805191 6.495061 5.937699 5.452733 5.028644 4.327060 12 9.385074 8.863252 8.383844 7.942686 7.536078 7.160725 6.813692 6.194374 5.660292 5.197107 4.439217 13 9.985648 9.393573 8.852683 8.357651 7.903776 7.486904 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 8.060688 7.606080 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 9.128546 8.513564 7.469444 6.623131 5.928841 4.869580 3456 Brett Collins is reviewing his company's investment in a cement plant. The company paid $10,700,000 five years ago to acquire the plant. Now top management is considering an opportunity to sell it. The president wants to know whether the plant has met original expectations before he decides its fate. The company's desired rate of return for present value computations is 10 percent. Expected and actual cash flows follow: (PV of $1 and PVA of $1 Note: Use appropriate factor(s) from the tables provided. Expected Actual Year 1 $2,700,000 2,214,000 Year 2 $3,990,000 2,473,800 Year 3 $3,620,000 3,909,600 Year 4 Year 5 $4,029,900 $3,260,000 3,143,322 2,803,600 Required a.&b. Compute the net present value of the expected and actual cash flows as of the beginning of the investment. Note: Negative amounts should be indicated by a minus sign. Round your intermediate calculations and final answers to the nearest whole dollar. Net present value (expected) Net present value (actual) TABLE 1 Present Value of $1 n 4% 0.961538 5123456 7 8 9 10 11 12 13 6% 0.943396 16% 20% 0.862069 0.833333 5% 7% 8% 9% 10% 12% 14% 0.952381 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.924556 0.907029 0.889996 0.873439 0.857339 0.84168 0.826446 0.797194 0.769468 0.743163 0.694444 0.888996 0.863838 0.839619 0.816298 0.793832 0.772183 0.751315 0.711780 0.674972 0.640658 0.578704 0.854804 0.822702 0.792094 0.762895 0.735030 0.708425 0.683013 0.635518 0.592080 0.552291 0.482253 0.821927 0.783526 0.747258 0.712986 0.680583 0.649931 0.620921 0.567427 0.519369 0.476113 0.401878 0.790315 0.746215 0.704961 0.666342 0.630170 0.596267 0.564474 0.506631 0.455587 0.410442 0.334898 0.759918 0.710681 0.665057 0.622750 0.583490 0.547034 0.513158 0.452349 0.399637 0.353830 0.279082 0.730690 0.676839 0.627412 0.582009 0.540269 0.501866 0.466507 0.403883 0.350559 0.305025 0.232568 0.702587 0.644609 0.591898 0.543934 0.500249 0.460428 0.424098 0.360610 0.307508 0.262953 0.193807 0.675564 0.613913 0.558395 0.508349 0.463193 0.422411 0.385543 0.321973 0.269744 0.226684 0.161506 0.649581 0.584679 0.526788 0.475093 0.428883 0.387533 0.350494 0.287476 0.236617 0.195417 0.134588 0.624597 0.556837 0.496969 0.444012 0.397114 0.355535 0.318631 0.256675 0.207559 0.168463 0.112157 0.600574 0.530321 0.468839 0.414964 0.367698 0.326179 0.289664 0.229174 0.182069 0.145227 0.093464 0.577475 0.505068 0.442301 0.387817 0.340461 0.299246 0.263331 0.204620 0.159710 0.125195 0.077887 0.555265 0.481017 0.417265 0.362446 0.315242 0.274538 0.239392 0.182696 0.140096 0.107927 0.064905 0.533908 0.458112 0.393646 0.338735 0.291890 0.251870 0.217629 0.163122 0.122892 0.093041 0.054088 0.513373 0.436297 0.371364 0.316574 0.270269 0.231073 0.197845 0.145644 0.107800 0.080207 0.045073 0.493628 0.415521 0.350344 0.295864 0.250249 0.211994 0.179859 0.130040 0.094561 0.069144 0.037561 19 0.474642 0.395734 0.330513 0.276508 0.231712 0.194490 0.163508 0.116107 0.082948 0.059607 0.031301 20 0.456387 0.376889 0.311805 0.258419 0.214548 0.178431 0.148644 0.103667 0.072762 0.051385 0.026084 14 15 16 17 18 122 TABLE 2 Present Value of an Annuity of $1 n 4% 0.961538 1123. 4 7 569820 5% 8% 6% 7% 9% 10% 12% 14% 16% 20% 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 1.886095 1.859410 1.833393 1.808018 1.783265 1.759111 1.735537 1.690051 1.646661 1.605232 1.527778 2.775091 2.723248 2.673012 2.624316 2.577097 2.531295 2.486852 2.401831 2.321632 2.24589 2.106481 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 5.242137 5.075692 4.917324 4.766540 4.622880 4.485919 4.355261 4.111407 3.888668 3.684736 3.325510 6.002055 5.786373 5.582381 5.389289 5.206370 5.032953 4.868419 4.563757 4.288305 4.038565 3.604592 6.732745 6.463213 6.209794 5.971299 5.746639 5.534819 5.334926 4.967640 4.638864 4.343591 3.837160 7.435332 7.107822 6.801692 6.515232 6.246888 5.995247 5.759024 5.328250 4.946372 4.606544 4.030967 10 8.110896 7.721735 7.360087 7.023582 6.710081 6.417658 6.144567 5.650223 5.216116 4.833227 4.192472 11 8.760477 8.306414 7.886875 7.498674 7.138964 6.805191 6.495061 5.937699 5.452733 5.028644 4.327060 12 9.385074 8.863252 8.383844 7.942686 7.536078 7.160725 6.813692 6.194374 5.660292 5.197107 4.439217 13 9.985648 9.393573 8.852683 8.357651 7.903776 7.486904 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 8.060688 7.606080 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 9.128546 8.513564 7.469444 6.623131 5.928841 4.869580 3456
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