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Larry Mattingly turned 20 years old today. His grandfather had established a trust fund that will pay him $120,000 on his next birthday. However, Larry
Larry Mattingly turned 20 years old today. His grandfather had established a trust fund that will pay him $120,000 on his next birthday. However, Larry needs money today to start his college education, and his father is willing to help. Mr. Mattingly has agreed to give Larry the present value of the $120,000 future cash inflow, assuming a 6 percent rate of return. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.) Required a. Determine the amount of cash that Larry Mattingly's father should give him. (Round your final answer to the nearest whole dollar value.) Cash TABLE 1 PRESENT VALUE OF $1 n 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 20% 1 0.961538 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 2 0.924556 0.907029 0.889996 0.873439 0.857339 0.841680 0.826446 0.797194 0.769468 0.743163 0.694444 3 0.888996 0.863838 0.839619 0.816298 0.793832 0.772183 0.751315 0.711780 0.674972 0.640658 0.578704 4 0.854804 0.822702 0.792094 0.762895 0.735030 0.708425 0.683013 0.635518 0.592080 0.552291 0.482253 5 0.821927 0.783526 0.747258 0.712986 0.680583 0.649931 0.620921 0.567427 0.519369 0.476113 0.401878 6 0.790315 0.746215 0.704961 0.666342 0.630170 0.596267 0.564474 0.506631 0.455587 0.410442 0.334898 7 0.759918 0.710681 0.665057 0.622750 0.583490 0.547034 0.513158 0.452349 0.399637 0.353830 0.279082 8 0.730690 0.676839 0.627412 0.582009 0.540269 0.501866 0.466507 0.403883 0.350559 0.305025 0.232568 9 0.702587 0.644609 0.591898 0.543934 0.500249 0.460428 0.424098 0.360610 0.307508 0.262953 0.193807 10 0.675564 0.613913 0.558395 0.508349 0.463193 0.422411 0.385543 0.321973 0.269744 0.226684 0.161506 11 0.649581 0.584679 0.526788 0.475093 0.428883 0.387533 0.350494 0.287476 0.236617 0.195417 0.134588 12 0.624597 0.556837 0.496969 0.444012 0.397114 0.355535 0.318631 0.256675 0.207559 0.168463 0.112157 13 0.600574 0.530321 0.468839 0.414964 0.367698 0.326179 0.289664 0.229174 0.182069 0.145227 0.093464 14 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 16 0.533908 0.458112 0.393646 0.338735 0.291890 0.251870 0.217629 0.163122 0.122892 0.093041 0.054088 17 0.513373 0.436297 0.371364 0.316574 0.270269 0.231073 0.197845 0.145644 0.107800 0.080207 0.045073 18 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 15 TABLE 2 PRESENT VALUE OF AN ANNUITY OF $1 n 4% 5% 6% 7% 1 0.961538 0.952381 0.943396 0.934579 2 1.886095 1.859410 1.833393 1.808018 3 2.775091 2.723248 2.673012 2.624316 4 3.629895 3.545951 3.465106 3.387211 5 4.451822 4.329477 4.212364 4.100197 6 5.242137 5.075692 4.917324 4.766540 7 6.002055 5.786373 5.582381 5.389289 8 6.732745 6.463213 6.209794 5.971299 9 7.435332 7.107822 6.801692 6.515232 10 8.110896 7.721735 7.360087 7.023582 11 8.760477 8.306414 7.886875 7.498674 12 9.385074 8.863252 8.383844 7.942686 13 9.985648 9.393573 8.852683 8.357651 14 10.563123 9.898641 9.294984 8.745468 15 11.118387 10.379658 9.712249 9.107914 16 11.652296 10.837770 10.105895 9.446649 17 12.165669 11.274066 10.477260 9.763223 18 12.659297 11.689587 10.827603 10.059087 19 13.133939 12.085321 11.158116 10.335595 20 13.590326 12.462210 11.469921 10.594014 8% 0.925926 1.783265 2.577097 3.312127 3.992710 4.622880 5.206370 5.746639 6.246888 6.710081 7.138964 7.536078 7.903776 8.244237 8.559479 8.851369 9.121638 9.371887 9.603599 9.818147 9% 0.917431 1.759111 2.531295 3.239720 3.889651 4.485919 5.032953 5.534819 5.995247 6.417658 6.805191 7.160725 7.486904 7.786150 8.060688 8.312558 8.543631 8.755625 8.905115 9.128546 10% 0.909091 1.735537 2.486852 3.169865 3.790787 4.355261 4.868419 5.334926 5.759024 6.144567 6.495061 6.813692 7.103356 7.366687 7.606080 7.823709 8.021553 8.201412 8.364920 8.513564 12% 0.892857 1.690051 2.401831 3.037349 3.604776 4.111407 4.563757 4.967640 5.328250 5.650223 5.937699 6.194374 6.423548 6.628168 6.810864 6.973986 7.119630 7.249670 7.365777 7.469444 14% 0.877193 1.646661 2.321632 2.913712 3.433081 3.888668 4.288305 4.638864 4.946372 5.216116 5.452733 5.660292 5.842362 6.002072 6.142168 6.265060 6.372859 6.467420 6.550369 6.623131 16% 0.862069 1.605232 2.245890 2.798181 3.274294 3.684736 4.038565 4.343591 4.606544 4.833227 5.028644 5.197107 5.342334 5.467529 5.575456 5.668497 5.748704 5.817848 5.877455 5.928841 20% 0.833333 1.527778 2.106481 2.588735 2.990612 3.325510 3.604592 3.837160 4.030967 4.192472 4.327060 4.439217 4.532681 4.610567 4.675473 4.729561 4.774634 4.812195 4.843496 4.869580
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