Savings Calculator
Enter what you've already saved, what you add each month and an interest rate, and see how long it takes to hit your goal — or flip it around to solve for the monthly amount instead.
On-screen number pad
Step-by-step proofCheck by hand
Contributed vs. growth
The bar shows what you put in versus what interest added, as shares of the balance when the goal is reached — the same two numbers as the result panel, drawn to scale.
How this is calculated
Each month, interest is added to whatever is already in the account, then that month's contribution is added on top — the same monthly-compounding order the Compound Interest Calculator uses, just run one month at a time until the balance reaches your goal.
There's no algebra shortcut for "how many months" when both a starting balance and a recurring contribution are involved, so this simulates the account month by month rather than solving a formula directly. "Monthly amount needed" works the same way in reverse, narrowing in on the contribution that hits the goal by the date you set.
The method
"Time to goal" repeats this until the balance meets the goal; "monthly amount" searches for the contribution that does.
Worked example
Starting from $5,000, adding $300 a month at a 4.5% APY: the balance passes $20,000 after 44 months — 3 years and 8 months — with $18,200 of that coming directly from contributions and the remaining $2,017.48 from interest.
Frequently asked questions
Why does the same monthly amount reach different goals at different speeds?
How is this different from the Compound Interest Calculator?
What interest rate should I use?
Does this account for taxes on interest earned?
- Monthly-compounding projection — the same published compound-interest mathematics as the Compound Interest Calculator, applied month by month rather than year by year.
- Time-to-goal and required-contribution figures are solved numerically (iterative simulation / bisection search), since neither has a closed-form solution when both a starting balance and a recurring contribution are present.