Future Value of a Series of Equal Amounts (an Annuity of $1 Paid at the End of Each Period) (Used to Compute the Compounded Future Value of a Stream of Income Payments) Appendix A-3 2% 3% 1% 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 1.0000 1.0000 1.0000 2.0600 2.0700 2.1800 2.0100 2.0200 2.0300 2.0400 2.0500 2.0800 2.0900 2.1000 2.1100 2.1200 2.1300 2.1400 2.1500 2.1600 2.1700 2.1900 2.2000 3.0909 3.0301 3.0604 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3421 33744 3.4069 3.4396 3.4725 3.5056 3.5389 3.5724 3.6061 3.6400 4.3746 4.7793 4.9934 4 4.0604 4.1216 4.1836 4.2465 4.3101 4.4399 4.5061 4.5731 4.64 10 4.7097 4.8498 4.9211 5.0665 5.1405 5.2154 5.2913 5.3680 7.1542 5.1010 5.2040 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.2278 6.3528 6.4803 6.6101 6.7424 6.8771 7.0144 7.2966 7.44 16 6.8019 6.1520 6.3081 6.4684 6.6330 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 7.8983 9.4872 9.7833 10.0890 10.4047 11.0668 12.1415 7.4343 7.6625 8.1420 8.3938 8.6540 8.92 28 9.2004 10.7305 11.4139 11.7720 12.5227 12.9159 8.8923 13.7268 8.2857 8.5830 9.2142 9.5491 9.8975 10.2598 10.6366 11.0285 11.4359 11.8594 12.2997 12.7573 13.23 28 14.2401 14.7733 15.3270 15.9020 16.4991 11.9780 13.02 10 9. 9.3685 9.7546 10.1591 10.5828 11.0266 11.4913 12.4876 13.5795 14.1640 14.7757 15.4157 16.0853 16.7858 17.5185 18.2847 19.0859 19.9234 20.7989 14.4866 20.3037 22.3931 23.5213 10 10.4622 10.9497 11.4639 12.0061 12.5779 13.1808 13.8164 15.1929 15.9374 16.7220 17.5487 18.4197 19.3373 21.3215 24.7089 25.9587 11.5668 13.4864 14.9716 19.56 14 20.6546 11 12.1687 12.8078 14.2068 15.7836 16.6455 17.5603 18.53 12 21.8143 23.0445 24.3493 25.7329 27.1999 28.7551 30.4035 32.1504 12.6825 13.4121 20.1407 27.2707 32.8239 12 14.1920 15.0258 15.9171 16.8699 17.8885 18.9771 21.3843 22.7132 24.1331 25.6502 29.0017 30.8502 34.9311 37.1802 39.5805 26.2116 39.4040 13 13.8093 14.6803 15.6178 16.6268 17.7130 18.8821 20.1406 21.4953 22.9534 24.5227 28.0291 29.9847 32.0887 34.3519 36.7862 42.2187 45.2445 48.4966 15.9739 14 14.9474 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 43.67 20 47.1027 50.8 180 54.8409 59.1959 21.5786 29.3609 31.7725 60.9653 15 16.0969 17.2934 18.5989 20.0236 23.2760 25.1290 27.1521 34.4054 37.2797 40.4175 43.8424 47.5804 51.6595 56.1101 66.2607 72.0351 17.2579 18.6393 20.1569 21.8245 25.6725 27.8881 16 23.6575 30.3243 33.0034 35.9497 39.1899 42.7533 46.6717 50.9804 55.7175 60.92 50 66.6488 72.9390 79.8502 87.4421 21.7616 36.9737 44.5008 96.0217 17 18.4304 20.0121 23.6975 25.8404 28.2129 30.8402 33.7502 40.5447 48.8837 53.7391 59.1176 65.0751 71.6730 78.9791 87.0680 105.9306 19.6147 21.4123 23.4144 25.6454 28.1324 33.9990 45.5992 55.7497 75.8364 128.1167 18 30.9057 37.4502 41.3013 50.3959 61.7251 68.3941 84.1407 93.4056 103.7403 115.2659 22.8406 27.6712 37.3790 41.4463 634397 78.9692 88.2118 19 20.8109 25.1169 30.5390 33.7600 46.0185 51.1591 56.9395 70.7494 98.6032 110.2846 123.4135 138.1664 154.7400 102.4436 130.0329 20 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 91.0249 115.3797 146.6280 165.4180 186.6880 64.0025 104.7684 153.1385 225.0256 21 23.2392 25.7833 28.6765 31.9692 35.7193 39.9927 44.8652 50.4229 56.7645 72.2651 81.6987 92.4699 118.8101 134.8405 174.0210 197.8474 30.5368 49.0057 92.5026 120.4360 157.4150 206.3448 271.0307 22 24.4716 27.2990 34.2480 38.5052 43.3923 55.4568 62.8733 71.4027 81.2143 105.4910 137.63 16 180.1721 236.4384 25.7163 244.4868 23 28.8450 32.4529 36.6179 41.4305 46.9958 53.4361 60.8933 69.53 19 79.5430 91.1479 104.6029 120.2048 138.2970 159.2764 183.60 14 211.8013 282.3618 326.2368 26.9735 76.7898 184. 1678 289.4945 24 30.4219 34.4265 39.0826 44.5020 50.8156 58.1767 66.7648 88.4973 102.1741 118.1552 136.8315 158.6586 213.9776 248.8075 337.0105 392.4842 402.0424 28.2432 32.0303 36.4593 41.6459 63.2490 98.3471 249.2140 471.9811 25 47.7271 54.8645 73.1059 84.7009 114.4133 133.3339 155.6196 181.8708 212.7930 292.1048 342.6035 150.3339 290.0883 26 29.5256 33.6709 38.5530 44.3117 51.1135 59.1564 68.6765 79.9544 93.3240 109.18 18 127.9988 176.8501 208.3327 245.7120 342.7626 405.2721 479.4305 567.3773 30.8209 200.8406 27 35.3443 40.7096 47.0842 54.6691 63.7058 74.4838 87.3508 102.7231 121.0999 143.0786 169.3740 238.4993 283.568B 337.5024 402.0323 479.2211 571.5223 681.8527 37.0512 28 32.1291 42.9309 49.9676 58.4026 68.5281 80.6977 95.3388 112.9682 134.2099 159.8173 190.6989 227.9499 272.8892 327.1041 392.5027 471.3778 566.4808 681.1116 819.2233 312.0937 811.5228 29 33.4504 38.7922 45.2188 52.9663 62.3227 73.6398 87.3465 103.9659 124.1354 148.6309 178.3972 214.5827 258.5834 377.1697 456.3032 552.5120 669.4474 984.0679 79.0582 113.2832 136.3075 164.4940 199.0209 530.3117 790.9479 30 34.7849 40.5681 47.5754 56.0849 66.4389 94.4608 241.3327 293.1992 356.7868 434.7451 647.4390 966.7121 1181.882 95.0255 120.7998 40 48.8864 60.4020 75.4013 154.7620 199.6351 259.0565 337.8824 442.5925 581.8260 767.0914 1013.704 1342.025 1779.090 2360.757 3134.522 4163.212 5529.829 7343.856 2400.018 4994.522 50 64.4632 84.5794 112.7969 152.6671 209.3480 290.3359 406.5289 573.7701 815.0834 1163.908 1668.771 3459.507 7217.714 10435.65 15089.50 21813.09 31515.33 45497.17

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

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