Future Value ofan Annuit 10 10.2280 11.4639 12.5800 13.1808 14.4866 15.1929 5.93

Question

Future Value ofan Annuit 10 10.2280 11.4639 12.5800 13.1808 14.4866 15.1929 5.9374 17.5487 20.3037 25.9587 15 15.5366 18.5990 21.5786 23.2760 27.1521 29.3609 31.7725 37.2797 47.5804 72.0351 17 17.6973 21.7616 258404 28.2139 33.7502 369737 40.5447 4.8837 65,0751 105.931 1S 18.7858 23.4144 28.1324 30.9057 374502 41.3013 45.5992 55.749 75.8364 128.117 19 19.8797 25.169 30.5390 33.7599 41 4463 46.0185 51.1591 63 4397 83.2118 154.740 20 20.9791 26.3704 33.0659 36.7856 45.7620 51.1601 57.2750 72.0524 102.444 186.688 21 22.0840 23.6763 35.7193 39.99730.4229 36.764 64.0023 81.6937 118.810 225.026 22 23.1944 30.5368 33.5052 43.3923 55.4568 62.8733 71.4027 92.5026 137632 271.031 23 24.3104 32.4529 414305 46.5958 60.8933 69.5319 79.3430 104.603 159. 276 326.237 24 25.4320 34.4265 44.5020 50.8156 66.7648 6.7898 88.4973 118.155 184.168 392.434 2 26.3591 36.4593 47.7271 34.8645 3.109 84.7009 98.3471 133.334 212.793 471.931 60 69.7700 163.053 353584 533.128 1253.21 1944.79 303482 7471.64 29219.9 281732 18 1.0939 1.7024 2.4066 2.8543 3.9960 4.7171 5.5599 7.6900 12.3755 26.6233 22 1.1160 1.9161 2.9253 3.6035 5.4365 66586 8.1403 12.1003 21.6447 55.2061 24 1.1272 2.0325 3.225 4.049 6.3412 79111 9849 15.1786 28.6252 19.4969 23 1.1328 2.0933 3.38644.2919 6.84858.6231 10.8347 17.0001 32.9190 95.3962 6013489 5.8916 18.6792 32.987 01 257 17603 304482 897.5974333 99 56347.5 4 0.9803 0.8883 0.3227 0.920 0.350 0.7084 0.6330 0.635 0.5718 0.4823 17 0.9187 0.6050 0.4363 0.3714 0.2703 02311 0.1978 0.1456 0.0929 0.0451 17 16.2586 13.1661 112741 10.4773 9.1216 8.5436 8.0215 7.1196 6.0472 4.7746 19 13.0824 14.3238 12.0853 9.6036 8.9501 8.3649 7.3658 61982 4.8435 19 0.9096 0.5703 0.3957 0.3305 0.2317 0.1945 0.1635 0.116 0.0703 0.0313 20 0.9051 0.537 0.3769 0.3118 0.2146 01784 0.1486 5219 0.341 0.2775 0.1839 0.1502 0.1228 70 0.1577 0.12640.1015 0.0659 0.0349 0.0126 24 22.5629 16.9355 13.7986 12.550410.5288 9.7066 8.9847 7.7843 .4338 4.9371

Explanation / Answer

Future value of annuity payments made at the beginning is given by:

FV of annuity due = P*[((1+r)^n - 1)/r] * (1+r)
P - Periodic payment = ?
r - rate per period = 0.1/2 = 0.05
n - number of periods = 5*2 = 10

79254 = P*(((1+0.05)^10 - 1)/0.05)*(1+0.05)

P = $6001.01

Semi annual payment = $6001.01

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