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Figure 8.10
Present Value Calculations (Annuities). For each of the following independent scenarios, use Figure 8.10 in the appendix to calculate the present value of the cash flow described. Round to the nearest dollar.
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$20,000 will be received at the end of each year for 6 years. The rate is 12 percent.
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$20,000 will be received at the end of each year for 6 years. The rate is 15 percent.
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$20,000 will be received at the end of each year for 6 years. The rate is 7 percent.
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$120,000 will be received at the end of each year for 4 years. The rate is 10 percent.
Figure 8.10 Present Value of a $1 Annuity Received at the End of Each Period for n Periods Note: Factor 1-(1+r) r Periods Rate per Period 10% 11% 12% 14% 15% 18% 209 25% 30% 1 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.84746 0.8333 0.8000 0.7692 1.8994 1.8334 1.8080 1.7833 1.3991 1.7355 1.7125 1.6301 1.6681 1.6467 1.6257 1.56564 1.5278 1.4400 1.3509 3 2.7232 2.6730 2.6243 2.5771 2.5313 2.4859 2.4437 2.4018 2.3612 2.3216 2.2832 2.17427 2.1065 1.9520 1.8161 4 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.69006 2.5687 2.3616 2.1662 5 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 36959 3.6048 3.5172 3.4331 3.3522 3.12717 2.6893 24356 2.9906 3.3255 6 5.0757 49173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 B.ART 3.7845 3.4976 2.9514 7 5.7864 55824 5.3893 5.2064 5.0330 4.8684 4.7122 4.5634 4.2883 4.1604 3.8115 3.6046 3.1611 2.8021 8 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 5.1161 4.7988 4.6389 44673 4,0776 3.8372 3.3289 29247 4.9676 5.3282 9 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.5370 5.1317 4.9464 4.7716 4.3030 4,0310 3.4631 3.0190 10 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.1925 3.5705 3.0915 11 8.3064 7.8869 7.4987 7.1990 6.8052 5.6869 5.4527 5.2337 4.3271 3.6564 31473 12 6.3633 8.3830 7.9427 7.5361 7.1607 6,8137 6.1944 5.9176 5.6603 54206 4.7932 44392 3.7251 3.1900 64924 6.7499 13 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.4235 6.1218 5.8424 5.5831 4.9095 4.5327 3.7801 32233 14 9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.0081 4.6106 3.8241 3.2487 15 10.3797 9.7122 9.1079 H.5595 B.067 7.6061 7.1909 6.8109 6.1422 5.8474 5.0916 4.6755 3.8593 3.262 16 10.6370 10.1059 9.4466 8.8514 8.3120 7.8237 7.3792 6.9740 6.5039 6.2651 5.9542 5.1624 4.7296 3.8874 32832 17 11.2741 10.4773 9.7632 9.12.16 8.5436 8.02.16 7.5188 7.1 196 6.7291 6.3729 6.0472 5.2223 4.7746 3.9099 3.2918 18 11.6896 108276 10.0591 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.2732 4.8122 3.9279 33037 19 12.0653 11.1581 10.3356 9.6036 3.9501 8.3649 7.8393 7.365 6.900 6.5504 6.1982 5.3162 4.8435 3.9424 3.3105 20 12.4622 11.4699 10.59-00 9.8181 9.1285 B.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.3527 4.8696 3.9539 33158 21 12.8212 11.7641 10.8355 10.0168 9.2922 8.6487 8.0751 7.5620 7.1016 6.6870 6.3125 5.3837 4.8913 3.9631 33198 22 13.1630 12.0416 11.0612 10.2007 9.4424 8.7715 8.1757 7.5446 7.1695 6.7429 6.3587 54099 4,9094 3.9705 33230 23 13.4886 12.3034 11.2722 10,3711 9.5802 8.2664 7.7184 7.2297 6.7921 6.3988 5.4321 4.9245 3.9764 24 13.7986 12.5504 11.4693 10.5288 9.7066 8.9847 8.3481 7.7843 7.2829 6.8351 6.4338 5.4509 4.9371 3.9811 33272 25 14.0939 12.7834 11.6536 106748 9.8226 9.0770 84217 7.8431 7.3300 6.8729 64641 5.4669 4.9476 3.9849 3.3286 26 14.3752 13.0032 11.8258 10.8100 9.9290 9.1609 84881 7.8957 7.3717 6.9061 6.4906 54504 4.9563 3.9879 3.3297 27 14.6430 13.2105 11.9867 10.9352 10.0266 9.2372 8.5478 7.9426 7.4086 6.9352 6.5135 5.4919 4.9636 3.9903 3.3305 28 14.8981 13.4062 12.1371 11.0511 10.1161 9.3056 8.6016 7.9844 7.4412 6.9607 6.5335 5.5016 4.9697 3.9923 33312 15.1411 13.5907 12.2777 11.1584 10.1983 9.3636 86501 8.0218 7.4701 6.98.10 6.5509 5.5098 4.9747 3.9938 30 15.3725 13.7648 12.4090 11.2578 10.2737 94269 8,6938 8.0552 7.4957 7.0027 6.5660 5.5168 4.9789 3.9950 33321