Future Value Interest Factor (FVIF) Table
UpdatedUnderstanding how money grows over time is essential to investing and financial planning. One tool that simplifies this calculation is the future value interest factor (FVIF)—a number that allows you to quickly determine how much an investment today will be worth in the future, given compound interest.
What is FVIF?
The future value interest factor (FVIF) indicates how much one dollar will grow over time when invested with compound interest. It serves as a multiplier: by multiplying your initial investment with the appropriate FVIF value—determined by the interest rate and investment period—you easily obtain the future value of your investment. FVIF highlights the powerful effect of compounding, where interest accumulates not only on the initial amount but also on previously earned interest.
Compound interest differs significantly from simple interest, which grows your investment at a constant linear rate. FVIF specifically captures exponential growth, clearly illustrating why compound interest accelerates wealth accumulation over time. For example, if you invest $1 at an annual interest rate of 5% for 10 years, FVIF directly provides the future value, eliminating the need for manual yearly calculations.
FVIF table
| Periods (n) | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 11% | 12% | 13% | 14% | 15% | 16% | 20% |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1.0100 | 1.0200 | 1.0300 | 1.0400 | 1.0500 | 1.0600 | 1.0700 | 1.0800 | 1.0900 | 1.1000 | 1.1100 | 1.1200 | 1.1300 | 1.1400 | 1.1500 | 1.1600 | 1.2000 |
| 2 | 1.0201 | 1.0404 | 1.0609 | 1.0816 | 1.1025 | 1.1236 | 1.1449 | 1.1664 | 1.1881 | 1.2100 | 1.2321 | 1.2544 | 1.2769 | 1.2996 | 1.3225 | 1.3456 | 1.4400 |
| 3 | 1.0303 | 1.0609 | 1.0927 | 1.1249 | 1.1576 | 1.1910 | 1.2250 | 1.2597 | 1.2950 | 1.3310 | 1.3676 | 1.4049 | 1.4429 | 1.4815 | 1.5209 | 1.5609 | 1.7280 |
| 4 | 1.0406 | 1.0824 | 1.1255 | 1.1699 | 1.2155 | 1.2625 | 1.3067 | 1.3605 | 1.4116 | 1.4561 | 1.5016 | 1.5529 | 1.6058 | 1.6603 | 1.7164 | 1.8104 | 2.0736 |
| 5 | 1.0510 | 1.1041 | 1.1593 | 1.2167 | 1.2763 | 1.3382 | 1.4026 | 1.4693 | 1.5386 | 1.6105 | 1.6851 | 1.7623 | 1.8424 | 1.9254 | 2.0054 | 2.1003 | 2.4883 |
| 6 | 1.0615 | 1.1262 | 1.1941 | 1.2653 | 1.3401 | 1.4185 | 1.5007 | 1.5869 | 1.6771 | 1.7716 | 1.8704 | 1.9738 | 2.0820 | 2.1950 | 2.3131 | 2.4364 | 2.9860 |
| 7 | 1.0721 | 1.1487 | 1.2299 | 1.3159 | 1.4071 | 1.5036 | 1.6058 | 1.7138 | 1.8280 | 1.9487 | 2.0762 | 2.2107 | 2.3526 | 2.5023 | 2.6600 | 2.8262 | 3.5832 |
| 8 | 1.0829 | 1.1717 | 1.2668 | 1.3686 | 1.4775 | 1.5938 | 1.7182 | 1.8509 | 1.9926 | 2.1436 | 2.3045 | 2.4760 | 2.6584 | 2.8526 | 3.0590 | 3.2784 | 4.2998 |
| 9 | 1.0937 | 1.1951 | 1.3048 | 1.4233 | 1.5513 | 1.6895 | 1.8385 | 1.9990 | 2.1719 | 2.3579 | 2.5580 | 2.7731 | 3.0040 | 3.2519 | 3.5179 | 3.8030 | 5.1598 |
| 10 | 1.1046 | 1.2190 | 1.3439 | 1.4802 | 1.6289 | 1.7908 | 1.9672 | 2.1589 | 2.3674 | 2.5937 | 2.8394 | 3.1058 | 3.3946 | 3.7072 | 4.0456 | 4.4114 | 6.1917 |
| 11 | 1.1157 | 1.2434 | 1.3842 | 1.5395 | 1.7103 | 1.8983 | 2.1049 | 2.3316 | 2.5804 | 2.8531 | 3.1518 | 3.4785 | 3.8359 | 4.2262 | 4.6524 | 5.1173 | 7.4301 |
| 12 | 1.1268 | 1.2682 | 1.4258 | 1.6010 | 1.7959 | 2.0122 | 2.2522 | 2.5182 | 2.8127 | 3.1384 | 3.4985 | 3.8960 | 4.3345 | 4.8179 | 5.3503 | 5.9360 | 8.9161 |
| 13 | 1.1381 | 1.2936 | 1.4685 | 1.6651 | 1.8856 | 2.1329 | 2.4098 | 2.7196 | 3.0658 | 3.4523 | 3.8833 | 4.3635 | 4.8980 | 5.4924 | 6.1528 | 6.8858 | 10.6993 |
| 14 | 1.1495 | 1.3195 | 1.5126 | 1.7317 | 1.9799 | 2.2609 | 2.5785 | 2.9372 | 3.3417 | 3.7975 | 4.3104 | 4.8871 | 5.5348 | 6.2613 | 7.0757 | 7.9875 | 12.8392 |
| 15 | 1.1610 | 1.3459 | 1.5580 | 1.8009 | 2.0789 | 2.3966 | 2.7590 | 3.1722 | 3.6425 | 4.1772 | 4.7846 | 5.4736 | 6.2543 | 7.1379 | 8.1371 | 9.2655 | 15.4070 |
| 16 | 1.1726 | 1.3728 | 1.6047 | 1.8730 | 2.1829 | 2.5404 | 2.9522 | 3.4259 | 3.9703 | 4.5950 | 5.3109 | 6.1304 | 7.0673 | 8.1372 | 9.3576 | 10.7480 | 18.4884 |
| 17 | 1.1843 | 1.4002 | 1.6528 | 1.9479 | 2.2920 | 2.6928 | 3.1588 | 3.7000 | 4.3276 | 5.0545 | 5.8951 | 6.8660 | 7.9861 | 9.2765 | 10.7613 | 12.4677 | 22.1861 |
| 18 | 1.1961 | 1.4282 | 1.7024 | 2.0258 | 2.4066 | 2.8543 | 3.3799 | 3.9960 | 4.7171 | 5.5599 | 6.5436 | 7.6900 | 9.0243 | 10.5752 | 12.3755 | 14.4625 | 26.6233 |
| 19 | 1.2081 | 1.4568 | 1.7535 | 2.1068 | 2.5270 | 3.0256 | 3.6165 | 4.3157 | 5.1417 | 6.1159 | 7.2633 | 8.6128 | 10.1974 | 12.0557 | 14.2318 | 16.7765 | 31.9480 |
| 20 | 1.2202 | 1.4859 | 1.8061 | 2.1911 | 2.6533 | 3.2071 | 3.8697 | 4.6610 | 5.6044 | 6.7275 | 8.0623 | 9.6463 | 11.5231 | 13.7435 | 16.3665 | 19.4608 | 38.3376 |
| 21 | 1.2324 | 1.5157 | 1.8603 | 2.2788 | 2.7860 | 3.3996 | 4.1406 | 5.0338 | 6.1088 | 7.4002 | 8.9492 | 10.8038 | 13.0211 | 15.6676 | 18.8215 | 22.5745 | 46.0051 |
| 22 | 1.2447 | 1.5460 | 1.9161 | 2.3699 | 2.9253 | 3.6035 | 4.4304 | 5.4365 | 6.6586 | 8.1403 | 9.9336 | 12.1003 | 14.7138 | 17.8610 | 21.6447 | 26.1864 | 55.2061 |
| 23 | 1.2572 | 1.5769 | 1.9736 | 2.4647 | 3.0715 | 3.8197 | 4.7405 | 5.8715 | 7.2579 | 8.9543 | 11.0263 | 13.5523 | 16.6266 | 20.3616 | 24.8915 | 30.3762 | 66.2474 |
| 24 | 1.2697 | 1.6084 | 2.0328 | 2.5633 | 3.2251 | 4.0489 | 5.0724 | 6.3412 | 7.9111 | 9.8497 | 12.2392 | 15.1786 | 18.7881 | 23.2122 | 28.6252 | 35.2364 | 79.4968 |
| 25 | 1.2824 | 1.6406 | 2.0938 | 2.6658 | 3.3864 | 4.2919 | 5.4274 | 6.8485 | 8.6231 | 10.8347 | 13.5855 | 17.0001 | 21.2305 | 26.4619 | 32.9190 | 40.8742 | 95.3962 |
How to use the FVIF table in real life
The FVIF table helps you quickly find the future value of your investment without complex calculations. Suppose you’re investing $1,000 at a 2% interest rate for 3 years. Here’s how:
- Locate the column for 2% interest.
- Find the row for 3 years.
- Identify the FVIF value where they meet—in this case, 1.0609.
- Multiply your investment by this factor:
This means your $1,000 investment grows to $1,060.90 after 3 years. You can use this same straightforward process for any interest rate or time period listed in the table.
Frequently asked questions
What if my interest rate or time period isn’t on the table?
No table can list every possible rate or timeframe. If your rate or time falls between the listed values, you can estimate by averaging the closest FVIF values or use the nearest one for a quick approximation. For precise calculations, use our FVIF Calculator—just input your numbers for an instant answer.
Why does the FVIF increase significantly over time?
This rapid growth occurs due to compound interest—earning interest on previously earned interest. For example, the FVIF at 3% interest is 1.0300 for 1 year but increases to 1.0927 by the third year. The longer your money is invested, the greater the compounding effect, making time a powerful tool for building wealth.