3 E11-6 (Algo) Comparing Options Using Present Value Concepts [LO 11-S1) 2 points After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with the good news that you are the big winner, having won $38 million. You have three options. (a) Receive $1.9 million per year for the next 20 years. (b) Have $12.5 million today. (c) Have $2.5 million today and receive $1,500,000 for each of the next 20 years. ebook Your financial adviser tells you that it is reasonable to expect to earn 12 percent on investments. Hint Required: 1. Calculate the present value of each option. (Future Value of $1, Present Value of $1, Future Value Annuity of $1. Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answer to the nearest whole dollar. Enter your answers in dollars, not in millions.) Print Present Value References Option A Option B $ 12,500,000 Optionc 2. Determine which option you prefer. O Option A O Option B Option TABLE 11.1A Future Value of $1 Periods 2% 3% 3.75% 4% 4.25% 5% 6% 7% 8% 0 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1 1.0200 1.0300 1.0375 1.0400 1.0425 1.0500 1.0600 1.0700 1.0800 2 1.0404 1.0609 1.0764 1.0816 1.0868 1.1025 1.1236 1.1449 1.1664 3 1.0612 1.0927 1.1168 1.1249 1.1330 1.1576 1.1910 1.2250 1.2597 4 1.0824 1.1255 1.1587 1.1699 1.1811 1.2155 1.2625 1.3108 1.3605 5 1.1041 1.1593 1.2021 1.2167 1.2313 1.2763 1.3382 1.4026 1.4693 6 1.1262 1.1941 1.2472 1.2653 1.2837 1.3401 1.4185 1.5007 1.5869 7 1.1487 1.2299 1.2939 1.3159 1.3382 1.4071 1.5036 1.6058 1.7138 8 1.1717 1.2668 1.3425 1.3686 1.3951 1.4775 1.5938 1.7182 1.8509 9 1.1951 1.3048 1.3928 1.4233 1.4544 1.5513 1.6895 1.8385 1.9990 10 1.2190 1.3439 1.4450 1.4802 1.5162 1.6289 1.7906 1.9672 2.1589 20 1.4859 1.8061 2.0882 2.1911 2.2989 2.6533 3.2071 3.8697 4.6610 Periods 9% 10% 11% 12% 13% 14% 15% 20% 25% 0 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1 1.0900 1.1000 1.1100 1.1200 1.1300 1.1400 1.1500 1.2000 1.2500 2 1.1881 1.2100 1.2321 1.2544 1.2769 1.2996 1.3225 1.4400 1.5625 3 1.2950 1.3310 1.3676 1.4049 1.4429 1.4815 1.5209 1.7280 1.9531 4 1.4116 1.4641 1.5181 1.5735 1.6305 1.6890 1.7490 2.0736 2.4414 5 1.5386 1.6105 1.6851 1.7623 1.8424 1.9254 2.0114 2.4883 3.0518 6 1.6771 1.7716 1.8704 1.9738 2.0820 2.1950 2.3131 2.9860 3.8147 7 1.8280 1.9487 2.0762 2.2107 2.3526 2.5023 2.6600 3.5832 4.7684 8 1.9926 2.1436 2.3045 2.4760 2.6584 2.8526 3.0590 4.2998 5.9605 9 2.1719 2.3579 2.5580 2.7731 3.0040 3.2519 3.5179 5.1598 7.4506 10 2.3674 2.5937 2.8394 3.1058 3.3946 3.7072 4.0456 6.1917 9.3132 20 5.6044 6.7275 8.0623 9.6463 11.5231 13.7435 16.3665 38.3376 86.7362 TABLE 11.3A Future Value of an Annuity of $1 Periods 2% 3% 3.75% 4% 4.25% 5% 6% 7% 8% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 2.0200 2.0300 2.0375 2.0400 2.0425 2.0500 20600 2.0700 2.0800 3 3.0604 3.0909 3.1139 3.1216 3.1293 3.1525 3.1836 3.2149 3.2464 4 4.1216 4.1836 4.2307 4.2465 4.2623 4.3101 4.3746 4.4399 4.5061 5 5.2040 5.3091 5.3893 5.4163 5.4434 5.5256 5.6371 5.7507 5.8666 6 6.3061 6.4684 6.5914 6.6330 6.6748 6.8019 6.9753 71533 7.3359 7 7.4343 7.6625 7.8386 7.8983 7.9585 8.1420 8.3938 8.6540 8.9228 8 8.5830 8.8923 9.1326 9.2142 9.2967 9.5491 9.8975 10.2598 10.6366 9 9.7546 10.1591 10.4750 10.5828 10.6918 11.0266 11.4913 11.9780 12.4876 10 10.9497 11.4639 11.8678 12.0061 12.1462 12.5779 13.1808 13.8164 14.4866 20 24.2974 26.8704 29.0174 29.7781 30.5625 33,0660 36.7856 40.9955 45.7620 Periods 9% 10% 11% 12% 13% 14% 15% 20% 25% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 2.0900 2.1000 2.1100 2.1200 2.1300 2.1400 2.1500 2.2000 2.2500 3 3.2781 3.3100 3.3421 3.3744 3.4069 3.4396 3.4725 3.6400 3.8125 4 4.5731 4.6410 4.7097 4.7793 4.8498 4.9211 4.9934 5.3680 5.7656 5 5.9847 6.1051 6.2278 6.3528 6.4803 6.6101 6.7424 7.4416 8.2070 6 7.5233 7.7156 7.9129 8.1152 8.3227 8.5355 8.7537 9.9299 11.2588 7 9.2004 9.4872 9.7833 10.0890 10.4047 10.7305 11.0668 12.9159 15.0735 8 11.0285 11.4359 11.8594 12.2997 12.7573 13.2328 13.7266 16.4991 19.8419 9 13.0210 13.5975 14.1640 14.7757 15.4157 16.0853 16.7856 20.7989 25.8023 10 15.1929 15.9374 16.7220 17.5487 18.4197 19.3373 20.3037 25.9587 33.2529 20 51.1601 57.2750 64.2028 72.0524 80.9468 91.0249 102.4436 186.6880 342.9447