Savings Calculator
Calculate how your savings grow over time with compound interest and regular monthly contributions.
Future Value
$91,037
after 10 years at 6% APY
Interest Earned
$26,037
Initial Deposit
$5,000
Total Contributions
$65,000
Total Interest
$26,037
Effective Yield
40.1%
How the Savings Calculator Works
This savings calculator uses the future value formula with compound interest and periodic contributions. It shows how an initial deposit grows when combined with regular monthly contributions and compound interest over your chosen time period.
Future Value Formula
FV = P(1+r/n)^(nt) + PMT × [((1+r/n)^(nt) - 1) / (r/n)] FV = Future value of savings
P = Initial deposit (principal)
PMT = Monthly contribution amount
r = Annual interest rate (as decimal)
n = Compounding frequency per year (12 for monthly)
t = Time in years
Example Calculation
Starting with $5,000, contributing $300/month, at 5% APY compounded monthly for 10 years:
- Initial deposit grows to: $8,235
- Monthly contributions total: $36,000
- Interest earned on contributions: $10,349
- Total Future Value: $54,584
Of the $54,584 total, $13,584 came from compound interest alone — money earned without any additional effort on your part.
Tips to Maximize Savings Growth
- Start early — even small amounts benefit enormously from time and compounding
- Use a high-yield savings account (4-5% APY vs 0.01% at traditional banks)
- Automate monthly contributions so you never forget to save
- Increase contributions whenever you get a raise or bonus
- Keep emergency funds liquid in a HYSA; invest long-term goals elsewhere
Frequently Asked Questions
How does compound interest work for savings?
Compound interest earns interest on both your initial deposit and previously earned interest. For example, $10,000 at 5% compounded monthly earns $510.42 in year one (vs $500 simple interest). Over time, this compounding effect accelerates significantly — after 20 years, compound interest earns roughly 65% more than simple interest at the same rate.
How do monthly contributions affect savings growth?
Regular monthly contributions dramatically increase final savings thanks to dollar-cost averaging and compounding. For example, $10,000 initial deposit at 5% for 20 years grows to $26,533. Adding just $200/month increases the final value to $108,476 — the contributions and their compounded returns add over $80,000.
How much should I have in an emergency fund?
Financial experts recommend 3-6 months of essential living expenses in an easily accessible savings account. If your monthly expenses are $4,000, aim for $12,000-$24,000. Keep this in a high-yield savings account for liquidity while still earning interest.
What is a high-yield savings account?
A high-yield savings account (HYSA) offers interest rates significantly above the national average — typically 4-5% APY compared to 0.01-0.5% at traditional banks. They are FDIC insured up to $250,000 and offer the same safety as regular savings accounts with much better returns.
What is the difference between APY and APR for savings?
APY (Annual Percentage Yield) includes the effect of compounding and shows your actual yearly return. APR (Annual Percentage Rate) does not account for compounding. For savings accounts, always compare APY. A 5% APY means you actually earn 5% on your balance over a year, accounting for monthly compounding.
How often should I increase my savings contributions?
Review and increase contributions at least annually, ideally when you receive a raise. A good rule of thumb is to save at least 50% of any income increase. Even small incremental increases — $25-50 more per month each year — compound significantly over decades.