How to Calculate Future Value: The Complete Guide
Whether you are planning retirement savings, evaluating an investment, or just curious how much your money will grow, calculating future value is essential. Here is the formula and how to use it.
Try it: Future Value Calculator
Compute the future value of a single deposit, an annuity, or both — with adjustable compounding frequency.
Future Value Calculator
How Future Value Is Calculated
Formula: FV = PV × (1 + r/n)^(nt) + PMT × [((1 + r/n)^(nt) - 1) / (r/n)]
Where PV = present value, PMT = monthly contribution, r = annual rate, n = compounding periods per year, t = years.
The Power of Compounding
$10,000 invested at 7% for 30 years grows to ~$76,000. Adding $500/month makes it grow to ~$700,000+. The difference shows how regular contributions supercharge compound growth.
The full calculator includes inflation-adjusted purchasing power and present-value back-solve.
Open the full finance calculatorFuture Value of a Lump Sum
If you invest a single amount today and let it grow with compound interest, the future value formula is:
FV = PV x (1 + r)^n
Where: PV = Present Value, r = Annual interest rate, n = Number of years
Example: $10,000 at 7% for 10 years = $10,000 x (1.07)^10 = $19,672
Future Value with Regular Contributions
Most people add money monthly. The full formula combines the lump sum growth with a series of monthly contributions:
FV = PV(1+r)^n + PMT x [((1+r)^n - 1) / r]
Where PMT = Monthly contribution, r = Monthly interest rate
Example: $10,000 starting balance + $200/month at 7% annual for 20 years:
- Lump sum grows to: $10,000 x (1.07)^20 = $38,697
- Contributions grow to: $200 x [((1.00583)^240 - 1) / 0.00583] = $104,260
- Total FV = $142,957
- Total contributed: $10,000 + ($200 x 240) = $58,000
- Interest earned: $84,957
The Power of Compound Interest
Compound interest means earning interest on your interest. Over long periods, this creates exponential growth:
| Years | Balance at 5% | Balance at 7% | Balance at 10% |
|---|---|---|---|
| 5 | $12,763 | $14,026 | $16,105 |
| 10 | $16,289 | $19,672 | $25,937 |
| 20 | $26,533 | $38,697 | $67,275 |
| 30 | $43,219 | $76,123 | $174,494 |
Starting with just $10,000 at 7% — after 30 years it grows to over $76,000 without adding another cent.
Compounding Frequency Matters
Interest can compound annually, monthly, or daily. More frequent compounding produces slightly higher returns:
$10,000 at 7% for 10 years:
Annual compounding: $19,672
Monthly compounding: $20,097
Daily compounding: $20,136
Key Takeaways
- The future value formula works for lump sums and regular contributions
- Compound interest accelerates growth exponentially over time
- Starting earlier matters more than investing more later
- Use our Future Value Calculator to model your own savings plan