Your grandfather would like to share some of his fortune with you. He offers to give...
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Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the Kfollowing scenarios (you get to choose): 1. $8,000 per year at the end of each of the next 8 years 2. $48,500 (lump sum) now 3. $99,400 (lump sum) 8 years from now Read the requirements. View the Present Value of $1 table. View the Present Value of Ordinary Annuity of $1 table. Requirement 1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present value? (Round the factors to three decimal places, X.XXX. Round the present value to the nearest whole dollar.) Scenario 1,8% discount rate, Present value = Present Value of $1 Present Value of $1 9% 10% 12% 14% 15% 16% 18% 20% 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 e Q Periods 1% 2% 3% 4% 5% Period 1 0.990 0.980 0.971 0.962 0.952 Period 2 6% 7% 8% 0.943 0.935 0.926 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 O 0 0 0.942 0.888 0.837 0.790 Period 4 0.961 0.924 0.888 0.855 0.823 9.792 Period 5 0.951 0.906 0.863 0.822 0.784 Period 6 Period 7 0.763 747 0.713 0.746 0.705 0.933 0.871 0.813 0.760 0.711 0.666 0.665 0.623 Period 8 0.627 0.582 0.592 0.544 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.585 0.527 0.475 0.429 0.625 0.557 0.497 0.444 0.397 0.469 0.415 0.417 0.442 0.388 0.362 O 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.923 0.853 0.789 0.731 0.677 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 Period 10 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 Period 14 0.870 0.758 0.661 0.577 0.505 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.116 0.083 0.070 0.060 0.043 0.031 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 Help me DovG BIS CalobiatoOT Print Done - X ve he Present Value of Ordinary Annuity of $1 Que 1% Period 2 Period 3 Periods Period 1 0.990 0.980 0.971 1.970 1.942 1.913 2.941 2.884 2.829 Period 4 3.902 3.808 3.717 Period 5 4.853 4.713 4.580 2% 3% 4% 0.962 1.886 2.775 3.630 4.452 O a 5.242 %0 O Period 7 Present Value of Ordinary Annuity of $1 . 16% 18% 20% 5% 6% 7% 8% 9% 10% 12% 14% 15% 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 1.859 1.833 1.808 1.783 1.759 1,736 1.690 1.647 1.626 1.605 1.566 1.528 2.723 2.673 2.624 2.577 2.531 2487 2.402 2.322 2.283 2.246 2.174 2.106 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.855 2.798 2.09 2.589 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.889 3.784 3.685 3.498 3.326 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.160 4.039 3.812 3.605 Period & 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 4.344 4.078 3.837 Period 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 Period 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 5.019 4.833 4.494 4.192 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4.327 Period 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 5.421 5.197 4.793 4.4391 Period 13 12.134 11.348 10.635 9.985 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.842 5.583 5.342 4.910 4.533 Period 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 5.724 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 5.575 5.092 4.675 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.974 6.265 5.954 5.669 5.162 4.730 Period 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.120 6.373 6.047 5.749 5.222 4.775 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.250 6.467 6.128 5.818 5.273 4.8121 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 6.198 5.877 5.316 4.844 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 18 Period 19 Period 20 ve Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the Kfollowing scenarios (you get to choose): 1. $8,000 per year at the end of each of the next 8 years 2. $48,500 (lump sum) now 3. $99,400 (lump sum) 8 years from now Read the requirements. View the Present Value of $1 table. View the Present Value of Ordinary Annuity of $1 table. Requirement 1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present value? (Round the factors to three decimal places, X.XXX. Round the present value to the nearest whole dollar.) Scenario 1,8% discount rate, Present value = Present Value of $1 Present Value of $1 9% 10% 12% 14% 15% 16% 18% 20% 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 e Q Periods 1% 2% 3% 4% 5% Period 1 0.990 0.980 0.971 0.962 0.952 Period 2 6% 7% 8% 0.943 0.935 0.926 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 O 0 0 0.942 0.888 0.837 0.790 Period 4 0.961 0.924 0.888 0.855 0.823 9.792 Period 5 0.951 0.906 0.863 0.822 0.784 Period 6 Period 7 0.763 747 0.713 0.746 0.705 0.933 0.871 0.813 0.760 0.711 0.666 0.665 0.623 Period 8 0.627 0.582 0.592 0.544 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.585 0.527 0.475 0.429 0.625 0.557 0.497 0.444 0.397 0.469 0.415 0.417 0.442 0.388 0.362 O 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.923 0.853 0.789 0.731 0.677 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 Period 10 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 Period 14 0.870 0.758 0.661 0.577 0.505 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.116 0.083 0.070 0.060 0.043 0.031 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 Help me DovG BIS CalobiatoOT Print Done - X ve he Present Value of Ordinary Annuity of $1 Que 1% Period 2 Period 3 Periods Period 1 0.990 0.980 0.971 1.970 1.942 1.913 2.941 2.884 2.829 Period 4 3.902 3.808 3.717 Period 5 4.853 4.713 4.580 2% 3% 4% 0.962 1.886 2.775 3.630 4.452 O a 5.242 %0 O Period 7 Present Value of Ordinary Annuity of $1 . 16% 18% 20% 5% 6% 7% 8% 9% 10% 12% 14% 15% 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 1.859 1.833 1.808 1.783 1.759 1,736 1.690 1.647 1.626 1.605 1.566 1.528 2.723 2.673 2.624 2.577 2.531 2487 2.402 2.322 2.283 2.246 2.174 2.106 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.855 2.798 2.09 2.589 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.889 3.784 3.685 3.498 3.326 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.160 4.039 3.812 3.605 Period & 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 4.344 4.078 3.837 Period 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 Period 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 5.019 4.833 4.494 4.192 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4.327 Period 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 5.421 5.197 4.793 4.4391 Period 13 12.134 11.348 10.635 9.985 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.842 5.583 5.342 4.910 4.533 Period 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 5.724 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 5.575 5.092 4.675 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.974 6.265 5.954 5.669 5.162 4.730 Period 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.120 6.373 6.047 5.749 5.222 4.775 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.250 6.467 6.128 5.818 5.273 4.8121 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 6.198 5.877 5.316 4.844 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 18 Period 19 Period 20 ve
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