Congratulations! You have just won $1 billion in the largest Powerball jackpot payoff ever! You will receive payments of $50,000,000 per year for the next 20 years. Use Table 6-5. (Use appropriate factor from the table provided.) Required: Calculate the present value of your lottery winnings, assuming an interest rate of 6%. (Enter your answers in whole dollars.)
TABLE 6.5 FACTORS FOR CALCULATING THE PRESENT VALUE OF AN ANNUITY OF $1 Discount Rate No. of 8% Periods 2% 4% 6% 10% 12% 14% 16% 18% 20% 0.980 0.9615 0.9434 0.9259 0.9091 0.8929 0.8772 0.8621 0.8475 0.8333 1.942 1.8861 8334 1.7833 1.7355 1.6901 1.6467 1.6052 1.5656 1.5278 2.884 2.7751 2.6730 2.5771 2.4869 2.4018 2.3216 2.2459 2.1743 2.1065 3.808 3.6299 3.4651 3.3121 3.1699 3.0373 2.9137 2.7982 2.6901 2.5887 4.713 4.4518 4.2124 3.9927 3.7908 3.6048 3.4331 3.2743 3.1272 2.9906 5.601 5.2421 4.9173 4.6229 4.3553 4.1 114 3.8887 3.6847 3.4976 3.3255 6.472 6.0021 5.5824 5.2064 4.8684 4.5638 4.2883 4.0386 3.8115 3.6046 8.162 7.4353 6.8017 6.2469 5.7590 5.3282 4.9464 4.6065 4.3030 4.0310 10 8.983 8.1 109 3601 6.7101 6.1446 5.6502 5.2161 4.8332 4.4941 4.1925 11 9.787 8.7605 7.8869 .1390 6.4951 5.937 5.4527 5.0286 4.6560 4.3271 12 10.575 9.3851 8.3838 7.5361 6.8137 6.1944 5.6603 5.1971 4.7932 4.4392 13 11.348 9.9856 8.8527 7.9038 7.1034 6.4235 5.8424. 5.3423 4.9095 4.5327 14 12.106 10.5631 9.2950 8.2442 7.3667 6.6282 6.0021 5.4675 5.0081 4.6106 7.6061 15 12.849 11.1184 9.7122 8.5595 6.8109 6.1422 5.5755 5.0916 4.6755 16 13.578 11.6523 10.1059 8.8514 7.8237 6.9740 6.2651 5.6685 5.1624 4.7296 17 14.292 12.1657 10.4773 9.1216 8.0216 7.1196 6.3729 5.7487 5.2223 4.7746 18 14.992 12.6593 10.8276 9.3719 8.2014 7.2497 6.4674 5.8178 5.2732 4.8122 19 15.678 13.1339 11.1581 9.6036 8.3649 7.3658 6.5504. 5.8775 5.3162 4.8435 20 16.351 13.5903 11.4699 9.8181 8.5136 7.4694 6.6231 5.9288 5.3527 4.8696 21 17.011 14.0292 11.7641 10.0168 8.6487 7.5620 6.6870 5.9731 5.3837 4.8913 22 17.658 14.4511 12.0416 10.2007 8.7715 7.6446 6.7429 6.0113 5.4099 4.9094 18.292 14.8568 12.3034 10.3711 8.8832 7.7184. 6.7921 6.0442 5.4321 4.9245 23 24 18.914 15.2470 12.5504 10.5288 8.9847 3 6.8351 6.07 5.4509 4.9371 25 19.523 15.6221 12.7834 10.6748 9.0770 7.8431 6.8729 6.0971 5.4669 4.9476 22.396 17.2920 13.7648 11.2578 9.4269 8.0552 7.0027 6.1772 5.5168 4.9789 30 35 24.999 18.6646 14.4982 11.6546 9.6442 8.1755 7.0700 6.2153 5.5386 4.9915 40 27.355 19.7928 15.0463 11.9246 9.7791 8.2438 7.1050 6.2335 5.5482 4.9966 45 29.490 20.7200 15.4558 12.1084 9.8628 8.2825 7.1232 6.2421 5.5523 4.9986 31.424 21.4822 15.7619 12.2335 9.9148 8.3045 7.1327 6.2463 5.5541 4.9995
