Financial Calculators
Savings Calculator
Calculate how a savings account grows with an initial deposit, monthly deposits, and an annual percentage yield (APY).
Quick guide
Enter your starting deposit, the amount you add each month, the account’s APY, and the number of years. The calculator shows the ending balance and separates your own deposits from the interest earned, assuming a constant APY and no taxes or fees.
Read the full explanationHow It Works
APY is the effective return over one year, including compounding. This calculator converts APY to an equivalent monthly rate and assumes deposits at the end of each month, a constant APY, and no taxes or fees.
Formula Used
i = (1 + APY/100)^(1/12) − 1; n = 12t; FV = P(1 + i)^n + c · [((1 + i)^n − 1) / i]. At 0% APY, FV = P + cn.
Example Calculation
$5,000 plus $200 deposited at the end of each month at 4.5% APY for 10 years grows to $37,859.98: $29,000 deposited and $8,859.98 interest.
Practical Use Cases
- Plan an emergency fund of 3–6 months of expenses.
- Save toward a down payment or vacation.
- Compare high-yield savings accounts.
Use This Calculator Step by Step
- Enter the starting balance and the monthly contribution as separate amounts.
- Use APY as an effective annual yield, then enter the saving period in years.
- Compare the ending balance with total deposits so that growth is not confused with your own contributions.
Check Your Result
With $1,000 initially, no monthly contribution, 10% APY, and 1 year, the ending balance is $1,100 before fees or tax. For monthly calculation the equivalent rate is (1.10)^(1/12) − 1, not simply 10% divided by 12.
Assumptions and Limits
- The illustration holds APY constant and does not include fees, tax, inflation, or changes in account terms.
- Monthly contributions follow the timing stated in the formula; deposits made at different times can produce different results.
A Common Question
Why does APY differ from an annual nominal rate?
APY already reflects compounding over a year. A nominal annual rate needs a stated compounding frequency. Entering one as though it were the other can overstate or understate growth.