Future Value of a Lump-Sum Rate of interest 6% Periods | % 3% 5% 8% 9% 10% 12% 1
ID: 2556280 • Letter: F
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Future Value of a Lump-Sum Rate of interest 6% Periods | % 3% 5% 8% 9% 10% 12% 15% 20% 3 1.0151 1.0927 1.1576 1910 1.2597 .2950 1.3310 1.4049 1.5209 1.7280 41.0202 1.1255 1.2155 .2625 1.3605 1.4116 .464.5735 1.7490 2.0736 51.0253 1.1593 1.2783 1.3382 1.4693 1.5386 1.6105 1.7623 2.0114 2.4883 6 1.0304 1.194 1340 1.4185 1.5869 1.677 .7716 1.9738 2.3131 2.9860 7 1.0355 1.2299 1.4071 5036 1.7138 1.8280 1.9487 2.2107 2.6600 3.5832 8 1.0407 1.2668 1.4775 1.59391.8510 1.9926 2.1436 2.4760 3.0590 4.2998 91.0459 1.3048 1.5513 .6895 1.9990 2.1719 2.3579 2.7731 3.5179 5.1598 101.0511 1.3439 1.6289 1.7909 2.15892.3674 2.5938 3.1059 4.0456 6.1917 12 1.0617 1.4257 1.7959 2.0122 2.5182 2.8127 3.1384 3.8960 5.3503 8.9161 15 1.0777 1.5580 2.0789 2.3966 3.1722 3.6425 4.1773 5.4736 8.1371 15.4070 16 1.0831 1.6047 2.1829 2.54043.4259 3.9703 4.5950 6.1304 9.3576 18.4884 171.0885 1.6529 2.2920 2.6928 3.7000 4.3276 5.0545 6.8660 10.7613 22.1861 18 1.09391.7024 2.4066 2.8543 3.9960 4.7171 5.5599 7.6900 12.3755 26.6233 191.0994 1.7535 2.5270 3.0256 4.3157 5.1417 6.1159 8.6128 14.2318 31.9480 20 1.1049 1.8061 2.6533 3.2071 4.6610 5.6044 6.7275 9.6463 16.3665 38.3376 21 1.1104 1.8603 2.7860 3.3996 5.0338 6.1088 7.4002 10.8038 18.8215 46.0051 22 1.1160 1.9161 2.9253 3.6035 5.4365 6.65868.1403 12.1003 21.6447 55.2061 23 1.1216 1.9736 3.0715 3.8197 5.87157.2579 8.9543 13.5523 24.8915 66.2474 24 1.1272 2.0325 3.2251 4.0489 6.3412 7.9111 9.8497 15.1786 28.6252 79.4969 25 1.1328 2.0938 3.3864 4.2919 6.8485 8.623110.8347 17.0001 32.9190 95.3962 601.3489 5.8916 18.6792 32.9877 101.257 176.031 304.482 897.597 4383.99 56347.5 Present Value of a Lump-Sum Rate of interest 6% in Periods l ½% 3% 5% 9% 10% 12% 1 5% 20% 30.9852 0.9151 0.86380.8396 0.7938 0.7722 0.7513 0.7118 0.6575 0.5787 40.98030.88850.82270.7920 0.7350 0.7084 0.6830 0.6355 0.5718 0.4823 50.9754 0.8626 0.7835 0.7473 0.6806 0.6499 0.6209 0.5674 0.4972 0.4019 6 0.9705 0.8375 0.7462 0.7050 0.6311 0.5963 0.5645 0.5066 0.4323 0.3349 7 0.9657 0.8131 0.7107 0.665 0.5835 0.5470 0.5132 0.4523 0.3759 0.2791 80.9609 0.7894 0.67680.6274 0.5403 0.5019 0.4665 0.4039 0.3269 0.2326 90.9561 0.7664 0.6446 0.59190.5003 0.4604 0.4241 0.3606 0.2843 0.1938 10 0.9514 0.7441 0.6139 0.5584 0.4632 0.4224 0.3855 0.3220 0.2472 0.1615 12 0.9419 0.70140.5568 0.4970 0.3971 0.3555 0.3186 0.2567 0.1869 0.1122 15 0.9279 0.6419 0.4810 0.4173 0.3152 0.2745 0.2394 0.1827 0.1229 0.0649 16 0.9233 0.6232 0.4581 0.3937 0.2919 0.2519 0.2176 0.1631 0.1069 0.0541 17 0.9187 0.6050 0.4363 0.3714 0.2703 0.2311 0.1978 0.1456 0.0929 0.0451 180.9141 0.58740.4155 0.3503 0.2503 0.2120 0.1799 0.1300 0.0808 0.0376 19 0.9096 0.5703 0.3957 0.3305 0.2317 0.1945 0.1635 0.1161 0.0703 0.0313 20 0.905 0.5537 0.3769 0.3118 0.2146 0.1784 0.1486 0.1037 0.0611 0.0261 21 0.9006 0.5375 0.3589 0.2942 0.1987 0.1637 0.1351 0.0926 0.0531 0.0217 22 0.8961 0.5219 0.3418 0.2775 0.18390.1502 0.1228 0.0826 0.0462 0.0181 23 0.8917 0.5067 0.3256 0.2618 0.1703 0.1378 0.1117 0.0738 0.0402 0.0151 24 0.8872 0.4920 0.3101 0.2470 0.1577 0.12640.1015 0.0659 0.0349 0.0126 25 0.8828 0.4776 0.2953 0.2330 0.1460 0.1160 0.0923 0.0588 0.0304 0.0105 60 0.7414 0.1697 0.0535 0.0303 0.0099 0.0057 0.0033 0.0011 0.0002 0.0001 8%Explanation / Answer
Cash payment = $20000 at end of every six month
Time (n) = 5 years, 10 semi-annual years
Lumpsum payment = 14000 at end of sixth year
Interest rate (i) = 12%, 6% semi-annual
Total present value of these payemnts = 20000 * PVIFA(6%, 10years) + 14000 * PVIF (6%, 12th year)
= 20000 * 8.3838 + 14000 * 0.5584
= 167676 + 7817.6
= 175493.6
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