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Present Value Calculations. For each of the following independent scenarios, use Figure 8.9 in the appendix to calculate the present value of the cash flow described.
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$30,000 will be received 4 years from today. The rate is 10 percent.
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$30,000 will be received 4 years from today. The rate is 20 percent.
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$100,000 will be received 15 years from today. The rate is 12 percent.
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$100,000 will be received 15 years from today. The rate is 6 percent.
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Figure 8.9
Figure 8.9 Present Value of $1 Received at the End of n Periods 1 Note: Factor (1+r)" Periods Rate per Period 7 10 1296 30% 0 10000 10000 1.0000 1.0000 1.0000 10030 10000 1.000 1.0000 1.0000 10000 1.0000 1.0000 1.0000 10000 1 0.9524 09434 09346 0.9759 0.9174 0.9091 0.9000 0.8929 5850 0.8772 0.606 0.8475 0.8333 0.000 0.7692 0.9070 0.99010 0.8734 0.8573 0.8412 0.8254 0.8116 0.7972 0.7831 0.7695 0.7561 0.7182 3.6944 0.6400 0.5917 2 3 0.8296 0.8163 0.7930 0.7722 0.7511 0.7312 0.6575 06056 05782 0.5120 4 0.6227 07921 0.7629 0.7350 0.704 0.68.30 0.6587 0.6355 0.6133 0.5921 0.5718 0.5150 0.423 04096 03501 5 7035 0.7473 0.7130 0,6805 06490 0.6700 05935 0.5674 0:54201 0.5194 0.4972 0.4171 0.4019 0.9277 0.29 6 07463 TOSO EGY 01.02 0.596 564 VDESD EXIS FORT 0,450 04 0,704 0,3849 LCWD 0272 7 0.7107 0.5651 0.6227 0.5835 0.5470 0.5132 0.4251 0.2791 0.1594 9 06760 0.6274 0.5820 0.5103 0.5019 0.1665 02339 0.4059 03762 0.3506 0.3269 0.2600 0.2326 0.1678 0.1226 9 06446 05919 0.5430 0.5002 3.4604 04241 33900 03605 03329 0.3075 0.2645 0.2255 0.1998 0.1342 0.0149 10 001 HOSO (1412 11,4234 DS 0.3522 DORS 0.2473 0.1011 0.1615 0.1074 00125 11 0.35 SOSCO 03173 0.1619 0.1346 0.0556 0.1607 0.2307 12 0.5568 0.4970 0.410 0.3971 0.3555 03136 0.2056 0.2567 0.2076 0.1669 0.1372 0.1122 0807 0.0129 13 05303 04688 0.4150 0.3262 07897 0.2575 0.2292 07042 0.1821 0.1675 0.1163 0.0935 0.0550 00330 0.3677 0.3405 14 5051 04423 (1.3878 20020 10.26277 L220 DISUZ 0.1997 0.1415 HORS 0.0779 0.0254 15 0.4123 1.2.94 0,1599 SEHE 0,0649 0.0162 16 04581 0.3936 0.3307 0.2919 0.2519 0.2176 0.1063 1631 0.1415 0.1229 0.1050 0,0700 0.0541 0.0261 0.0150 17 04361 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0,1252 0.1078 0.0929 0,0600 00451 0.0225 00116 1B 04155 03503 0.2959 02502 0.2120 0.17 0.1978 1300 1108 01.0946 BOB 0,0504 0,0976 180 ODORO 19 0397 3305 01.2765 0.1945 0.1635 0.1372 0.1161 LOD 110703 0.0431 0.0333 0.0144 20 03769 0.3116 0.2145 0.1784 0.1240 0.0868 0.0128 0.0365 0.0261 0.0115 0.0053 0.2594 0.2415 0.1486 0.1351 0.1037 0.6925 0.0611 0.0531 21 03589 0-2942 0.1987 0.1117 0.0968 0.0630 0.0309 0.0217 0.0092 0.0040 0.1637 0.1502 22 0.1418 02775 0.2257 0.1839 0122 0.1007 0.08 0.06.20 0.0560 0.0002 0.0262 0.0074 0.0031 00181 0.0151 0.2610 0.1103 0.137 0.1117 0.9900 0.073 0.0001 0.0001 0.0002 0.0222 0.0059 0.00M 0.2109 0.192 24 03101 0.2470 0.1577 0.1264 0.1015 0.0097 0.0659 0.0532 0.0031 0,0168 0.0126 0.0017 0.0018 25 0.2953 0.2330 0.1842 0.1460 0.1160 0,0923 0.0736 6.0588 0.0471 0.0278 0.0304 0.0160 0.0105 0.0038 0.0014 26 0.2812 02198 0.1722 0.1352 0.1064 0.0839 0.0565 0.0525 0.0417 0,0331 0.0264 0.0135 0.0087 0.0030 0.0011 27 0.2678 0.074 0.1609 0.0976 0.0761 0.0597 0.0469 0.0109 0.0091 0.02.10 0.0115 0.0075 0.0008 28 02551 0.1956 0.1504 0.1159 0.0095 DESCO 0.0419 0.0126 PORTO 0.0097 0.0061 61000 0.0355 0.0224 0.0006 0.0005 29 0.2429 0.1846 0.1406 0.1073 0,0622 0.0630 0.0185 0.0374 0.0089 0.0174 0.0012 0.0051 SLOVO 30 0.2314 0.1741 0.1314 0.0994 0,0754 00573 0.0437 0.0334 0.0256 0.0196 0.0151 0.0070 0.0042 0.0012 0.0004
