Present value of an annuity due table | Present value table
/An annuity is a series of payments that occur over time at the same intervals and in the same amounts. An annuity due arises when each payment is due at the beginning of a period; it is an ordinary annuity when the payment is due at the end of a period. A common example of an annuity due is a rent payment that is scheduled to be paid at the beginning of a rental period.
An example of an annuity is a series of payments from the buyer of an asset to the seller, where the buyer promises to make a series of regular payments. Thus, ABC Clothiers buys a warehouse from Dover Real Estate for $800,000, and promises to pay for the warehouse with eight payments of $100,000, to be paid at intervals of one payment per year; these payments are an annuity.
You might want to calculate the present value of an annuity, to see how much it is worth today. This is done by using an interest rate to discount the amount of the annuity. The interest rate can be based on the current amount you are obtaining through other investments, the corporate cost of capital, or some other measure.
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An annuity table represents a method for determining the present value of an annuity. The annuity table contains a factor specific to the number of payments over which you expect to receive a series of equal payments and at a certain discount rate. When you multiply this factor by one of the payments, you arrive at the present value of the stream of payments. Thus, if you expect to receive 5 payments of $10,000 each and use a discount rate of 8%, then the factor would be 4.3121 (as noted in the table below in the intersection of the "8%" column and the "n" row of "5". You would then multiply the 4.3121 factor by $10,000 to arrive at a present value of the annuity of $43,121.
Rate Table For the Present Value of an Annuity Due of 1
| n | 1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% |
| 1 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
| 2 | 1.9901 | 1.9804 | 1.9709 | 1.9615 | 1.9524 | 1.9434 | 1.9259 | 1.9091 | 1.8929 |
| 3 | 2.9704 | 2.9416 | 2.9135 | 2.8861 | 2.8594 | 2.8334 | 2.7833 | 2.7355 | 2.6901 |
| 4 | 3.9410 | 3.8839 | 3.8286 | 3.7751 | 3.7232 | 3.6730 | 3.5771 | 3.4869 | 3.4018 |
| 5 | 4.9020 | 4.8077 | 4.7171 | 4.6299 | 4.5460 | 4.4651 | 4.3121 | 4.1699 | 4.0373 |
| 6 | 5.8534 | 5.7135 | 5.5797 | 5.4518 | 5.3295 | 5.2124 | 4.9927 | 4.7908 | 4.6048 |
| 7 | 6.7955 | 6.6014 | 6.4172 | 6.2421 | 6.0757 | 5.9173 | 5.6229 | 5.3553 | 5.1114 |
| 8 | 7.7282 | 7.4720 | 7.2303 | 7.0021 | 6.7864 | 6.5824 | 6.2064 | 5.8684 | 5.5638 |
| 9 | 8.6517 | 8.3255 | 8.0197 | 7.7327 | 7.4632 | 7.2098 | 6.7466 | 6.3349 | 5.9676 |
| 10 | 9.5660 | 9.1622 | 8.7861 | 8.4353 | 8.1078 | 7.8017 | 7.2469 | 6.7590 | 6.3282 |
| 11 | 10.4713 | 9.9826 | 9.5302 | 9.1109 | 8.7217 | 8.3601 | 7.7101 | 7.1446 | 6.6502 |
| 12 | 11.3676 | 10.7868 | 10.2526 | 9.7605 | 9.3064 | 8.8869 | 8.1390 | 7.4951 | 6.9377 |
| 13 | 12.2551 | 11.5753 | 10.9540 | 10.3851 | 9.8633 | 9.3838 | 8.5361 | 7.8137 | 7.1944 |
| 14 | 13.1337 | 12.3484 | 11.6350 | 10.9856 | 10.3936 | 9.8527 | 8.9038 | 8.1034 | 7.4235 |
| 15 | 14.0037 | 13.1062 | 12.2961 | 11.5631 | 10.8986 | 10.2950 | 9.2442 | 8.3667 | 7.6282 |
| 16 | 14.8651 | 13.8493 | 12.9379 | 12.1184 | 11.3797 | 10.7122 | 9.5595 | 8.6061 | 7.8109 |
| 17 | 15.7179 | 14.5777 | 13.5611 | 12.6523 | 11.8378 | 11.1059 | 9.8514 | 8.8237 | 7.9740 |
| 18 | 16.5623 | 15.2919 | 14.1661 | 13.1657 | 12.2741 | 11.4773 | 10.1216 | 9.0216 | 8.1196 |
| 19 | 17.3983 | 15.9920 | 14.7535 | 13.6593 | 12.6896 | 11.8276 | 10.3719 | 9.2014 | 8.2497 |
| 20 | 18.2260 | 16.6785 | 15.3238 | 14.1339 | 13.0853 | 12.1581 | 10.6036 | 9.3649 | 8.3658 |
| 21 | 19.0456 | 17.3514 | 15.8775 | 14.5903 | 13.4622 | 12.4699 | 10.8181 | 9.5136 | 8.4694 |
| 22 | 19.8570 | 18.0112 | 16.4150 | 15.0292 | 13.8212 | 12.7641 | 11.0168 | 9.6487 | 8.5620 |
| 23 | 20.6604 | 18.6580 | 16.9369 | 15.4511 | 14.1630 | 13.0416 | 11.2007 | 9.7715 | 8.6446 |
| 24 | 21.4558 | 19.2922 | 17.4436 | 15.8568 | 14.4886 | 13.3034 | 11.3711 | 9.8832 | 8.7184 |
| 25 | 22.2434 | 19.9139 | 17.9355 | 16.2470 | 14.7986 | 13.5504 | 11.5288 | 9.9847 | 8.7843 |
| 26 | 23.0232 | 20.5235 | 18.4131 | 16.6221 | 15.0939 | 13.7834 | 11.6748 | 10.0770 | 8.8431 |
| 27 | 23.7952 | 21.1210 | 18.8768 | 16.9828 | 15.3752 | 14.0032 | 11.8100 | 10.1609 | 8.8957 |
| 28 | 24.5596 | 21.7069 | 19.3270 | 17.3296 | 15.6430 | 14.2105 | 11.9352 | 10.2372 | 8.9426 |
| 29 | 25.3164 | 22.2813 | 19.7641 | 17.6631 | 15.8981 | 14.4062 | 12.0511 | 10.3066 | 8.9844 |
| 30 | 26.0658 | 22.8444 | 20.1885 | 17.9837 | 16.1411 | 14.5907 | 12.1584 | 10.3696 | 9.0218 |
The preceding annuity table is useful as a quick reference, but only provides values for discrete time periods and interest rates that may not exactly correspond to a real-world scenario. Accordingly, use the annuity formula in an electronic spreadsheet to more precisely calculate the correct amount of the present value of an annuity due.
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