Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you

image text in transcribed
image text in transcribed
image text in transcribed
image text in transcribed
Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose), 1. $8,000 per year at the end of each of the next eight years 2 $50,100 (lump sum) now 3. $100.250 (lump sum) eight years from now (Click the icon to view Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of St table) Read the requirements Requlrement 1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present valuo? (Round the factors to three decimal places, XXX. Round the present value to the nearest whole dollar) Present Value Scenario 1: Periods 1 2 3 4 5 12% 0.893 1.690 2.402 3.037 3.605 14% 0.877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 15% 0.870 1.626 2.283 2.855 3.352 Present Value of Ordinary Annuity of S1 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 2.941 2884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3,170 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 5.795 5,601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 6.728 6.472 6.230 6.002 5.786 5,582 5.389 5.206 5.033 4.868 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 10.3689.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 11.255 10.575 9.954 9,385 8.863 8.384 7.943 7536 7.161 6.814 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 15,562 14.292 13.166 12.166 11.274 10.4779.763 9.122 8.544 8.022 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 17.226 15.678 14.32413.134 12.085 11.158 10.336 9.604 8.950 8.365 18.046 16.351 14.877 13,590 12.462 11470 10.594 9,818 9.129 8.514 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.649 16% 18% 20% 0.862 0.847 0.833 1.605 1.566 1.528 2.246 2.174 2.106 2.798 2.690 2.589 3.274 3.127 2.991 3.685 3.498 3.326 4.039 3.812 3.605 4.344 4.078 3.837 4.607 4.303 4.031 4.833 4.494 4.192 6 7 8 9 10 3.784 4.160 4.487 4.772 5.019 4.111 4.564 4.968 5.328 5.650 5.938 6.194 6.424 6.628 6.811 11 12 13 14 15 5.029 5.197 5.342 5.468 5.575 4.656 4.793 4.910 5.008 5.092 4.327 4.439 4.533 4.611 4.675 5.453 5.660 5.842 6.002 6.142 6.265 6.373 6.467 6.550 6.623 5.234 5.421 5.583 5.724 5.847 5.954 6.047 6.128 6.198 6.259 16 17 18 19 20 6.974 7.120 7.250 7.366 7.469 5,669 5.749 5.818 5.877 5.929 5.973 5.162 5.222 5.273 5.316 5.353 4.730 4.775 4.812 4.844 4.870 21 7.562 6.687 6.312 5.384 4.891 Periods 1 2 3 4 5 2% 0.980 0.961 0.942 0.924 0.906 3% 4% 0.971 0.962 0.943 0.925 0.915 0.889 0.888 0.855 0.863 0.822 0.837 0.790 0.813 0.760 0.789 0.731 0.766 0.703 0.744 0.676 5% 0.952 0.907 0.864 0.823 0.784 18% 0.847 0.718 0.609 0.516 0.437 20% 0.833 0.694 0.579 0.482 0.402 0.746 0.711 6 7 8 9 10 1% 0.990 0.980 0.971 0.961 0.951 0.942 0.933 0.923 0.914 0.905 0.896 0.887 0.879 0.870 0.861 0.853 0.844 0.836 0.828 0.820 0.677 0.645 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 Present Value of $1 6% 7% 8% 9% 0.943 0.935 0.926 0.917 0.890 0.873 0.857 0.842 0.840 0.816 0.794 0.772 0.792 0.763 0.735 0.708 0.747 0.713 0.681 0.650 0.705 0666 0.630 0.596 0.665 0.623 0.583 0.547 0.627 0.582 0.540 0.502 0.592 0.544 0.500 0.460 0.558 0.508 0.463 0.422 0.527 0.475 0.429 0.388 0.497 0.444 0.397 0.356 0.469 0.415 0.368 0.326 0.442 0.388 0.340 0.299 0.417 0.362 0.315 0.275 0.394 0.339 0.292 0.252 0.371 0.317 0.270 0.231 0.350 0.296 0.250 0.212 0.331 0.277 0.232 0.194 0.312 0.258 0.215 0.178 0.294 0.242 0.199 0.164 10% 12% 0.909 0.893 0.826 0.797 0.751 0.712 0.683 0.636 0.621 0.567 0.564 0.507 0.513 0.452 0.467 0.404 0.424 0.361 0.386 0.322 0.350 0287 0.319 0.257 0.290 0.229 0.263 0.205 0.2390.183 0.218 0.163 0.198 0.146 0.1800.130 0.164 0.116 0.149 0.104 0.135 0.093 14% 15% 16% 0.877 0.870 0.862 0.769 0.756 0.743 0.675 0.658 0.641 0.592 0.572 0.552 0.519 0.497 0.476 0.456 0.432 0.410 0.400 0.376 0.354 0.351 0.327 0.305 0.308 0.284 0.263 0.270 0.247 0.227 0.237 0.215 0.195 0.208 0.187 0.168 0.182 0.163 0.145 0.160 0.141 0.125 0.140 0.123 0.108 0.123 0.107 0.093 0.108 0.093 0.080 0.095 0.081 0.069 0.083 0.070 0.060 0.073 0.061 0.051 0.064 0.053 0.044 11 12 13 14 15 0.722 0.701 0.681 0.661 0.642 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 0.359 HQ2BB 8 6 3 3 3 5 0.370 0.314 0.266 0.225 0.191 0.162 0.137 0.116 0.099 0.084 0.071 0.060 0.051 0.043 0.037 0.031 0.335 0.279 0.233 0.194 0.162 0.135 0.112 0.093 0.078 0.065 0.054 0.045 0.038 0.031 0.026 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 0.456 0.439 16 17 18 19 20 0.728 0.714 0.700 0.686 0.673 0.660 0.623 0.605 0.587 0.570 0.554 0.538 21 0.811 0.022 Requirements 1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present value? Round to the nearest whole dollar. 2. Would your preference change if you used a 10% discount rate

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Financial Intelligence For Entrepreneurs What You Really Need To Know About The Numbers

Authors: Karen Berman, Joe Knight

1st Edition

1422119157, 9781422119150

More Books

Students also viewed these Accounting questions