fx Formula & Mathematical Methodology
Calculates Future Value (FV): FV = P * (1 + r/12)^(12*t) + PMT * [((1 + r/12)^(12*t) - 1) / (r/12)], where P is principal, PMT is monthly deposit, r is annual rate, and t is years.
See the future value of setting aside money each month. Calculate total accumulated savings, total deposits made, and compounding interest across 1 to 30 years.
Enter your values, then select Calculate Now
Calculates Future Value (FV): FV = P * (1 + r/12)^(12*t) + PMT * [((1 + r/12)^(12*t) - 1) / (r/12)], where P is principal, PMT is monthly deposit, r is annual rate, and t is years.
Your consistent $450 monthly commitment compounds into more than $33,000 in half a decade.
Input your planned monthly deposit amount.
Enter any existing cash starting balance.
Set your planned savings horizon in years.
Input the annual percentage yield (APY) of your savings account.
Review the future total balance, interest earnings, and interactive growth schedule.
Over 10 years at 4.5% APY, an extra $50 per month adds more than $7,600 to your net worth.
APR is the simple annual rate, whereas APY (Annual Percentage Yield) reflects the actual return including the compounding effect of interest throughout the year.
Monthly deposits are generally better for cash flow and allow dollar-cost averaging of interest, though depositing money earlier in the year generates slightly more compounding.
Yes! The formula accurately models regular deposits compounding at fixed rates similar to continuous Certificate of Deposit ladders.
In most countries including the US, savings account interest is treated as ordinary income and reported annually via tax form 1099-INT.
Discover other tools to optimize your wealth strategy
Whether saving for a dream vacation, new vehicle, home renovation, or wedding, calculate the monthly contribution required to hit your target date with compound interest.
Discover how much interest your bank account generates. Compare daily, monthly, and annual compounding across high-yield savings accounts, CDs, and standard savings.
Whether you get paid weekly, bi-weekly, semi-monthly, or monthly, calculate exactly how much money to transfer to savings every payday to hit annual goals.
Simulate how your investments grow exponentially over time. Support for initial principal, regular monthly additions, custom compounding frequencies, and annual return rates.