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At the beginning of each period for 10 years, Merl Agnes invests $420 semiannually at 6%. What is the cash value of this annuity due
At the beginning of each period for 10 years, Merl Agnes invests $420 semiannually at 6%. What is the cash value of this annuity due at the end of year 10? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest cent.)
Future value $
18 Future value interest factor of an ordinary annuity of $1 per period at i% for n periods, FVIFA(i,n). Period | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 11% | 12% | 13% | 14% | 15% | 16% | 17% 18% | 19% | 20% 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 || 1.0000 | 1.0000 | 1.0000 | 1.0000 || 1.0000 | 1.0000 1.0000 1.0000 1.0000 | 1.0000 20100 | 2.0200 | 2.0300 | 2.0400 | 2.0500 | 2.0600 | 2.0700 | | 2.0800 | 2.0900 2.1000 2.1100 12.1200 2.1300 2.1400 2. 1500 2.1600 2.1700 2.1800 2.1900 2.2000 3.0301| 3.0604 3.0909 | 3.1216] 3.1525 3. 1836 | 3.2149 3.2464 3.2781 3.3100 3.3421 3.3744 3.4069 3.4396 3.4725 3.5056 3.5389 3.5724 3.6061 3.6400 4.0604 4.1216 4.1836 4.2465 | 4.3746 | 4.4399 14.5061 14.5731 4.6410 4.7097 4.7793 4.8498 4.9211 4.9934 5.0665 5.1405 5.2154 5.2913 5.3680 5.1010 | 5.2040 5.3091| 5.4163 | 15.5256 5.6371 15.7507 5.8666 15.9847 6.1051 6.2278 6.3528 6.4803 6.6101 6.7424 6.8771 7.0144 7.1542 7.2966 7.4416 6.1520 6.3081 6.4684 | | 6.6330 | | 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 7.9129 8.1152 8.3227 8.5355 8.7537 8.9775 9.2068 9.4420 9.6830 9.9299 7.2135 7.4343 7.6625 7.8983 | 18.1420 8.3938 8.6540 18.9228 19.2004 9.4872 19.7833 10.0890 10.4047 10.7305 11.0668 11.4139 117720 12.1415 12.5227 12.9159 8.2857 | 8.5830 88923 9.2142 19.5491 19.8975 | 10.2598 | 10.6366 | | 11.0285 11.4359 11.8594 12.2997 12.7573 13.2328 13.7268 14.2401 14.733 15.3270 15.9020 16.4991 9.3685 | 9.7546| 10.1591| 10.5828 | 11.0266 | 11.4913 | 11.9780 | 12.4876 | 13.0210 13.5795 14.1640 14.7757 15.4157 16.0853 16.7858 17.5185 18.2847 19.0859 19.9234 20.7989 10.4622 | 10.9497 | 11.4639 12.0061 12.5779 13.1808 | 13.8164 | 14.4866 | | 15.1929 15.9374 16.7220 17.5487 18.4197 19.3373 20.3037 21.3215 22.3931 23.5213 24.7089 25.9587 11.5668 | 12.1687 | 12.8073 13.4864 | 14.2068 || 14.9716 | 5.7836 | 16.6455 17.5603 18.5312 19.5614 20.6546 21.8143 23.0445 24.3493 25.7329 27.1999 28.7551 30.4035 32.1504 12.6825 | 13.4121| 14.1920 | 15.0258 | 16.9171 16.8699 | 17.8885 | 18.9771 20.1407 21.3843 22.7132 24.1331 25.6502 27.2707 29.0017 30.8502 32.8239 34.9311 37.1802 39.5805 13.8093 | 14.6803 | 15.6178 16.6268 7.7130 || 18.8821 20.1406 21.4953 22.9534 24.5227 26.2116 28.0291 29.9847 32.0887 34.3519 36.7862 39.4040 42.2187 45.2445 48.4966 14.9474 | 15.9739 | 17.0863 | 18.2919 | 19.5986 | | 21.0151 22.5505 24.2149 26.0192 27.9750 30.0949 32.3926 34.8827 37.5811 40.5047 43.6720 47.1027 50.8180 54.8409 59.1959 16.0969 | 17.2934 | 18.5989 20.0236 21.5786 23.2760 25.1290 27.1521 29.3609 31.7725 34.4054 37.2797 40.4175 43.8424 47.5804 51.6595 56.1101 60.9653 66.2607 72.0351 17.2579 | 18.6393 | 20.1569 21.8245 23.6575 25.5725 27.8881 30.3243 33.0034 35.9497 39.1899 42.7533 46.6717 50.9804 55.7175 60.9250 66.6488 72.9390 79.8502 87.4421 18.4304 | 20.0121 21.7616 23.6975 25.8404 28.2129 30.8402 33.7502 36.9737 40.5447 44.5008 48.8837 53.7391 59.1176 65.0751 71.6730 78.9792 7.0680 96.0218 105.9306 19.6147 | 21.4123 23.4144 25.6454 28.1324 30.9057 33.9990 37.4502 41.3013 45.5992 50.3959 55.7497 61.7251 68.3941 75.8364 84.1407 93.4056 103.7403 115.2659 128.1167 20.8109 | 22.8406 25.1169 27.6712 30.5390 33.7600 137.3790 41.4463 46.0185 51.1591 56.9395 63.4397 70.7494 | 78.9692 88.2118 98.6032 110.2846 123.4135 138.1664 154.7400 22.0190 | 24.2974| 26.8704 29.7781 33.0660 | 36.7856 | 40.9955 | 45.7620 51.1601 57.2750 64.2028 | 72.0524 80.9468 1.02499 | 102.4436 115.3797 130.0329 146.6280 165.4180 186.6880 23.2392 | 25.7833 | 28.6765 31.9692 35.7193 39.9927] 44.8652 50.4229 | 56.7645 64.0025 72.2651 | 81.6987 192.4699 104.7684 |118.8101 134.8405 153.1385 174.0210 197.8474 225.0256 24.47 16 | 27.2990 30.5368 34.2480 38.5052 43.3923 | 49.0057 55.4568 62.8733 71.4027 81.2143|| 2.5026 | 105.4910] 120.4360 | 137.6316 157.4150 180.1721 206.3448 236.4385 271.0307 25.7163 | 28.8450 32.4529 36.6179 41.4305 46.9958 53.4361 | 60.8933 69.5319 79.5430 | 191.1479 || | 104.6029 | 120.2048 | 138.2970 | 159.2764 183.6014 211.8013 244.4868 282.3618 326.2369 26.9735|30.4219| 34.4265 39.0826 44.5020 50.8156 58.1767 | 66.7648 | 76.7898 88.4973 | 102.1742 | 118.1552 | 136.8315 | 158.6586 | 184.1678 213.9776 248.8076 289.4945 337.0105 392.4842 28.2432 | 32.0303 36.4593 41.6459 47.7271 54.8645 | 63.2490 | 173.1059 | 84.7009 198.34711114.4133 | 133.339 | 155.6196 | 181.8708 212.7930 249.2140 292.1049 342.6035 402.0425 471.9811 29.5256 | 33.6709 38.5530 44.3117 51.1135 59.1564 | | 68.6765 79.9544 | 93.3240 | 109.1818 127.9988 | 150.3339 176.8501 || 208.3327 245.7 120 290.0883 342.7627 405.2721 479.4306 567.3773 30.8209 | 35.3443 40.7096 47.0842 54.6691 63.7058|74.4838 | 87.3508 | 102.7231 121.0999| 143.0786) 169.3740 200.8406 238.4993 283.5688 337.5024 402.0323 479.2211 571.5224 681.8528 32.1291 37.0512 | 42.9309 49.9676 58.4026 168.5281| 80.6977 | 95.3388 | 112.9682 134.2099| 159.8173 190.6989 227.9499 272.8892 327.1041 392.5028 471.3778 566.4809 681.1116 | 819.2233 33.4504 | 38.7922 45.2189 52.9663 62.3227 73.6398 | 87.3465 | 103.9659 | 124.1354 148.6309 | 178.3972 214.5828 258.5834 312.0937 37.1697 456.3032 552.5121 669.4475 811.5228 | 1984.0680 34.7849 | 40.5681 47.5754 56.0849 66.4388 | 79.0582 | 94.4608 | 113.2832 | 136.3075 164.4940 | 199.0209 241.3327 293.1992 356.7868 434.7451 530.3117 647.43911 790.9480 1966.7122 | 1,181.8816 36.1327 | 42.3794 50.0027 59.3283 70.7608 | | 84.8017] 102.0730 | 123.3459 | 149.5752 181.9434 | 221.9132 271.2926 332.3151 4077370 500.9569 616.1616 758.50381 1934.3186| 1.1513875 37.4941 44.2270 52.5028 62.7015 75.298 | | 90.8898 | 110.2182 | 134.2135 | 164.0370 201.1378 | 247.3236 304.8477 376.5161 465.8202 | 57.1005 715.7475 | 888.4494 | 1103.4960 | 1.371.1511| 1704.1095 38.8690 | 46.1116 55.0778 66.2095 80.0638| 97.3432 | 118.9334 | 145.9506 | 179.8003 222.2515 || 275.5292 342.4294 426.4632 532.0350 | 664.6655 831.2671| 1.040.48588| 1.303.1253 | | 1,632.6698 | 2,045.9314 40.2577 | 48.0338 57.7302 69.8579 85.0670 | 104.1838| 128.2588 | 158.6267 | 196.9823 245.4767 | 306.8374 384.5210 482.9034 607.5199|| 765.3654 | 965.2698 | 1.218.3684| 1,538.6878 | | 1,943.8771| 2,456.1176 41.6603 | 49.9945 60.4621 73.6522 90.3203 | 111.4348 | 138.2369 | 172.3168 | 215.7108 271.0244 | 341.5896 431.6635 546.6808 693.5727181.1702 11.120.7130 | 1,816.6516 | 2.314.2137 | 2,948.3411 43.0769 | 51.9944 63.2759 7.5983 195.8363 | 119.1209 | 148.9135 | 187.1021 | 236.1247 299.1268 | 380.1644 484.4631|| 618.7493 791.6729 | 1.014.3457 | 1301.0270] 1.669.9945 2,144.6489 | 2,754.9143 | 3.539.0094 44.5076 | 54.0343 66.1742 81.7022 | 101.6281| 127.2681| 160.3374 | 203.0703 | 258.3759 330.0395 | 422.9825 543.5987 || 700.18671903.507111.167.497511510.1914| 1,954.8936 2.531.5857 3.279.3481| 4.247.8112 45.9527 | 56.1149 69.1594 85.9703 | 107.7095 | 135.9042 | 172.5610 | 220.3159 | 282.6298 364.0434 | 470.5106 609.8305 | 792.2110 | 1,030.9981| 1,343.6222 | 1752.8220 | | 2,288.2255 2.988.3891 3903.4242 | 5,098.3735 47.4123158.2372172.2342 | 90.4091114.0950 | 145.0585 185.6403 | 238.94121309.0665 401.4478 | 52.3.2667 | 684.0102 | 896.1984 | 1.176.3378 | 1,546.1655 2,034.2735 | 2,678.2238 3.527.2992 | 4646.0748 48.8864 | 60.4020 75.4013 95.0255 | 120.7998 | 154.7620 | 199.6351| 259.0565 | 337.8824 442.5926 | 581.8261 || 767.0914 | 1,013.7042 |1,342.0251|1.79.0903 2.360.7572 3.134.5218 4.163.2130 5,529.8290 | 7.343.8578 50.3752162.6100 | 78.6633 | 99.82651127.8398 165.0477 214.6096 | 280.7810|369.2919 487.8518] 646.8269 | 860.1424 | 1,146.4858 | 1,530.9086 | 2,046.9539 2.739.4784 3.668.3906 4.913.5914 | 6.581.4965 | 8,813.6294 51.8790 | 64.8622 | 82.0232 | 104.8196 | 135.2318 | 175.9505 | 230.6322 | 304.2435 | 403.5281 537.6370 | 718.9779 | 964.3595 |1.296.5289 | 1,746.2358 2.354.9969 3.178.7949 4.293.0169 5,799.0378 7,832.9808 | 10,577.3553 53.3978 67.1595 | 85.4839| 110.0124 1142.9933 187.5076|247.7765 |3295830 | 440.8457 592.4007 | 799.0655 | 1,081.0826|1,466.077 | 1,991.7088 2.709.2465 3,688.4021 5,023.8298 | 6,843.8646] 9.322.2472 | 12,693.8263 54.9318 | 69.5027 | 9.0484 | 115.4129 | 151.1430 | 199.7580 | 266.1209 | 356.9496 | 481.5218 652.6408 | 887.9627 | 1.211.8125 | 1,657.6678 | 2.271.54813.116.6334 4,279.5465 5,878.8809 | 8,076.7603 | 11,094.4741| 15,233.5916 56.4811171.8927192.7199 21.0294 |159.7002 |212.7435 285.7493 | 386.5056 | 525.8587 718.9048| 986.6386 | 1,358.2300 | 1,874.1646 | 2.590.5648 | 3.585.1285 4.965.2739 | 6,879.2907 | 9.531.5771 | 13.203.4242 | 18.281.3099 58.0459 | 74.3306 | 96.50 15 | 126.8706 | 168.6852 | 226.5081 306.7518 | 418.4261 |574.1860 791.7953 | 1,096.1688 | 1,522.2176 | 2.118.8060 | 2,954.2439 4, 123.8977 5.760.7177 8,049.7701 | 11.248.2610 | 15,713.0748 | 21,938.5719 59.6263176.8172 100.3965 |132.9454 178.1194 | 241.0986329.2244 452.9002 1626.8628 871.9749 | 1.217.7474 | 1,705.8838 | 2.395.2508 |3368.8380 | 4.743.4824 | | 6,683.4326 | 9,419.2310 | 13.273.9480 | 18,699.5590 | 26,327.2863 61.2226 | 79.3535 | 104.4084 | 139.2632 | 188.0254 | 256.5645 353.2701 | 490.1322 | 684.2804 | 1960.1723 | 1352.6996 | 1911.5898 | 2,707.6334 | 3,841.4753 5,456.0047 | 7,753.7818 | 11,021.5002 | 15,664.2586 | 22,253.4753 31,593.7436 62.8348 | 81.9406 | 108.5406 | 145.8337 | 198.4267272.9584 | 378.9990 | 530.3427 | 746.8656 | 1,057.1896 | 1,502.4965 | 2.141.9806 | 3,060.6258 | 4,380.2819 | 6,275.4055 | 8,995.3869 | 12,896.1553 | 18,484.8251| 26,482.6356 | 37.913.4923 150 | 64.4632 | 84.5794 | 112.7969 | 152.6671| 209.3480 | 290.3359 | 406.5289 | 573.7702 |815.0836 | 1.163.9085 | 1,568.12 | 2,400.0182 |3,459.5071 4,994.5213 | 7.217.7163 | 10,435.6488 | 15,089.5017 | 21,813.0937 31,515.3363| 45,497.1908Step by Step Solution
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