Monthly compounding is convenient for budgets because deposits, statements, and goal reviews often happen monthly. The math divides the nominal annual rate by 12 and applies it over the number of months. Confirm whether an actual account compounds monthly, credits monthly, or merely reports a monthly statement.
$5,000 at 4.8% for three years
A constant 4.8% nominal rate compounded monthly gives 5,000 x (1 + 0.048/12)^36, or about $5,772 before fees and taxes. Adding a recurring deposit requires an annuity term or month-by-month calculation; it should not be folded into the starting principal.
Before you decide
Convert years to total months.
Use the nominal rate only when it is actually provided.
Place recurring deposits at start or end consistently.
Compare the result with the disclosed APY.
Method and limitations
This is a deterministic projection. It does not predict a future savings rate or investment return. CFPB rules make APY a standardized deposit-account comparison measure; the bank's disclosure should control when your reconstructed monthly result differs because of tiering, timing, or special terms.