FV = PV(1+r)^n + PMT × [(1+r)^n - 1] / rFV is the future value, PV is the initial deposit, r is the monthly interest rate (annual rate divided by twelve), n is the total number of months, and PMT is the monthly contribution. The first term grows your initial deposit with compound interest. The second term accumulates the value of all contributions made over time. When the rate is zero, FV simplifies to PV + PMT times n.
Enter your starting balance, monthly savings amount, interest rate, and time horizon to see your account balance in the future.
Enter your starting deposit, how much you add each month, the interest rate, and how many years you plan to save. The calculator shows your final balance, total contributions, and how much of that balance came from interest. Great for goal planning.
A savings calculator answers one practical question: if you keep putting money aside each month, what will you actually have at the end? The answer depends on three things: what you start with, how much you add, and the rate you earn. The math uses compound interest, which means interest earns interest. Over a short period the effect is modest. Over 20 or 30 years it becomes the dominant factor. That gap between your total contributions and your final balance is real money that came from patience, not extra effort. Use this calculator to set a savings target, compare account options by rate, or figure out how much you need to save each month to reach a specific goal.
A familiar scenario
Walking through an example
Example: $1,000 starting balance, $200/month, 5% rate, 10 years
- 1Initial deposit PV = $1,000
- 2Monthly contribution PMT = $200
- 3Monthly rate r = 5% / 12 = 0.4167%
- 4Number of months n = 10 × 12 = 120
- 5Growth factor = (1.004167)^120 = 1.6471
- 6FV from initial deposit = $1,000 × 1.6471 = $1,647.10
- 7FV from contributions = $200 × (1.6471 - 1) / 0.004167 = $200 × 155.28 = $31,056
- 8Total FV = $1,647 + $31,056 = $32,703
- 9Total contributions = $1,000 + $200 × 120 = $25,000
- 10Total interest earned = $32,703 - $25,000 = $7,703
When this comes up
Where you would actually use this
- Building an emergency fund: Set the goal amount as your target and work backward: adjust the monthly contribution until the future value hits your target within 12 to 24 months. A high-yield savings account earning 4 to 5% makes the math more forgiving.
- Saving for a down payment: Enter your target year, current savings, and what you can set aside monthly. The calculator tells you whether your current savings rate gets you there, or how much you need to increase contributions to hit the deadline.
- Comparing account options: Run the same inputs with different rates: a 1% traditional savings account vs. a 4.5% high-yield account. On a 5-year horizon with $300/month the difference in interest earned can be several thousand dollars.
- Teaching kids about compound growth: Start with a small number, say $100 and $25/month, and extend the years to 30. The jump in the interest line after year 15 makes compound growth tangible in a way that a percentage figure alone does not.
Where it trips people up
Things people get wrong
- Using interest rate instead of APY: Banks quote APY on savings accounts. Using the base interest rate slightly understates the return. Use the APY figure from your account for the most accurate projection.
- Forgetting that rates change: This calculator uses a fixed rate for the entire period. Real savings rates move with the market. A 10-year projection at today's high-yield rate will likely not hold for the full decade. Treat the result as a planning estimate, not a guarantee.
- Not accounting for taxes on interest: Interest earned in a taxable savings account is ordinary income. If you are in a 22% bracket, your effective yield after tax is lower. Tax-advantaged accounts (Roth IRA, HSA) avoid this problem for qualifying withdrawals.
- Treating the initial deposit as optional: Even a modest initial deposit has an outsized effect because it compounds for the full period. A $500 starting deposit at 5% for 20 years grows to about $1,327 before adding any contributions.
The math
The formula, formally
- 1Enter your initial deposit: the amount already in the account (or zero if starting fresh).
- 2Enter your monthly contribution: the fixed amount you will add each month.
- 3Enter the annual interest rate. High-yield savings accounts run 4 to 5% in recent years. CDs vary by term.
- 4Enter the number of years you plan to save.
- 5The calculator applies the future value formula month by month, compounding interest on the growing balance.
- 6Results show your final balance, total amount you contributed, and total interest earned.
Terms to know
Glossary
| Term | Definition |
|---|---|
| Compound interest | Interest calculated on both the principal and previously earned interest. Monthly compounding means each month the new interest is added to the balance, and next month interest is charged on that larger amount. |
| Future value (FV) | The value of an asset at a specific date in the future, assuming a given rate of growth. Savings calculators compute future value to project what a balance will grow to over time. |
| Annual Percentage Yield (APY) | The effective annual rate when compounding is applied. A 5% annual rate compounded monthly has an APY of about 5.116%. Banks advertise APY on savings accounts. Use APY as your rate input for the most accurate result. |
| Present value (PV) | The current value of a future sum of money, discounted at a given rate. In a savings calculator, the initial deposit is the present value: it is the starting point that compounds over time. |
Expert advice
Pro tips
- Automate the contribution: Set up an automatic transfer on payday. The main reason people fall short of savings goals is forgetting to transfer. Automation removes the decision from the equation entirely.
- Round up your contribution after raises: Each time you get a pay increase, increase your monthly contribution by the same amount before lifestyle inflation absorbs it. Even $50 more per month compounded over 10 years adds meaningful money.
- Use a high-yield account for goals over 6 months: For anything beyond a short-term buffer, a high-yield savings account or money market account typically earns 3 to 5 times more than a standard savings account. The rate difference is the easiest free money in personal finance.
- Run the calculation at multiple rates: Try the same inputs at 2%, 4%, and 6%. Seeing how the future balance changes with rate gives you a concrete reason to shop around for a better account.
Common questions
Frequently asked questions
For related calculations, try the Compound Interest, Retirement Calculator, or Investment Calculator. Browse all Calculator Online calculators for the full catalog.
Methodology
This calculator uses the standard savings calculator formula. Results match those from established financial, scientific, and health references.
Reviewed by
Calculator Online Editorial Team. All formulas verified against authoritative sources before publication.
Last updated
2026-05-24
Sources & References
- FDIC, National Rates and Rate Caps
FDIC publishes weekly average savings and deposit rates across US banks.
- Investopedia, Future Value Formula
Clear walkthrough of the future value formula with examples.
- Consumer Financial Protection Bureau, Saving and Investing
CFPB overview of savings account types and how interest works.