Savings Calculator
Calculate how your savings grow with regular deposits. Choose compounding frequency from daily to annually. Results show future value, total deposited, and total interest earned.
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How It Works
Enter starting balance, monthly deposit amount, annual interest rate, and years. Select compounding frequency (monthly is typical for savings accounts). Results show: final balance, total deposited, total interest earned, and interest as % of final balance. A chart shows growth over time.
FV = PV(1+r/n)^(nt) + PMT×[(1+r/n)^(nt)−1]/(r/n)$0 start, $500/mo, 5%, 10yr → FV=$77,641 ($13,641 interest)The calculator lets you select from daily, weekly, biweekly, semimonthly, monthly, quarterly, semiannually, or annually. For the same rate, more frequent compounding gives slightly higher returns. $10,000 at 5% for 10 years: annual = $16,289, monthly = $16,471, daily = $16,487. Rate matters far more than frequency.
APY = (1 + APR/n)^n − 15% APR: annual APY=5.00%, monthly=5.116%, daily=5.127%Doubling time ≈ 72 ÷ interest rate. At 6%: 72/6 = 12 years to double. At 4%: 18 years. At 9%: 8 years. The rule is approximate but within 1-2% accuracy for rates between 2% and 20%. Use the calculator for exact results.
Doubling time ≈ 72 / annual_rate%6%: doubles in ~12yr | 9%: doubles in ~8yr | 4%: ~18yrEnter your target future value as FV and solve for the required deposit. Example: need $50,000 in 5 years earning 4%: required monthly deposit = about $757. Adjust the deposit or time period to find a combination that fits your budget.
Solve backward: PMT = (FV − PV×(1+r/n)^(nt)) × (r/n) / [(1+r/n)^(nt)−1]Goal $50k in 5yr at 4%: need ~$757/moIf your goal is to have $50,000 in today's dollars in 10 years, and inflation is 3%/yr, your nominal goal is $50,000 × (1.03)^10 = $67,196. Enter this nominal goal in the calculator instead of $50,000 to ensure adequate purchasing power.
Inflation-adjusted goal = goal × (1+inflation)^years$50k today, 3% inflation, 10yr → need to accumulate $67,196Quick Reference
Verify these in the calculator above.
Monthly save
$500/mo, 5%, 10yr, start $0
FV ≈ $77,641
Retirement
$1,000/mo, 7%, 30yr
FV ≈ $1.22M
Lump sum
$10k at 5%, 10yr (monthly)
FV ≈ $16,471
Double
Doubling at 6%/yr
~12 years (Rule 72)
Goal-based
$50k goal, 4%, 5yr → monthly?
~$757/month
APY
APY from 5% APR, daily
5.127%
Inflation
Inflation: $50k today → 10yr, 3%
Need $67,196
Frequency
Daily vs monthly compounding diff
<0.01% for 5%
Tips & Shortcuts
The interest rate matters far more than compounding frequency. Switching from monthly to daily compounding on 5% only gains 0.01% extra — getting a 5.25% rate instead of 5% matters much more.
Start early — time is the biggest factor in compound growth. $200/month starting at 25 grows to more than $200/month starting at 35, even with more years left.
Use the Rule of 72 for quick estimates: divide 72 by your interest rate to get the doubling time in years.
For HYSA (High Yield Savings Account) rates, use the APY shown by the bank — this already accounts for compounding frequency.
Inflation-adjust your goal: if you need $50,000 in today's dollars in 10 years at 3% inflation, your target is $67,196 in nominal terms.
Common Mistakes
Entering APR instead of APY for savings accounts
Banks advertise APY for savings accounts — use APY directly. If you enter APR and select daily compounding, you will get APY as the result. Do not enter APY and then also select daily compounding — that would double-count compounding.
Forgetting to account for taxes on interest
Interest from savings accounts is taxable income. At a 22% tax bracket, a 5% APY becomes an after-tax return of 3.9%. For tax-advantaged accounts (IRA, 401k), do not apply this reduction.
Assuming the savings rate stays constant
Interest rates change. A 5% rate today may drop to 3% in 2 years. For long-term projections, consider using a conservative average rate (3-4% for savings accounts historically) rather than the current high rate.
Not adjusting the goal for inflation
The future value the calculator shows is in nominal (not inflation-adjusted) dollars. $100,000 in 15 years will have less purchasing power than $100,000 today. Multiply your goal by (1+inflation)^years to get the correct nominal target.
Comparing savings accounts on APR instead of APY
Use APY to compare savings accounts — it accounts for compounding and gives the true annual return. A 4.9% APR compounded daily (APY=5.02%) beats a 5.0% APR compounded annually (APY=5.0%).
Frequently Asked Questions
It calculates FV = PV(1+r/n)^(nt) + PMT × [(1+r/n)^(nt) − 1] / (r/n). PV = starting balance, r = annual rate, n = compounding periods per year, t = years, PMT = regular deposit. It compounds interest and adds deposits each period.
Higher compounding frequency earns slightly more. Daily compounding on 5% earns 5.127% effective rate. Monthly earns 5.116%. Annual earns exactly 5%. The difference between daily and monthly is minimal (<0.01%) — the interest rate matters far more than compounding frequency.
The 50/30/20 rule: save 20% of take-home pay. For retirement, the guideline is 15% of gross income. For an emergency fund, target 3-6 months of expenses. For a specific goal, use the calculator to find the required monthly deposit: enter the future value goal and solve backward.
At 7%/yr with $1,000/month: about 30 years. At $2,000/month: about 23 years. Start early — every year of delay requires significantly more monthly contribution. The calculator shows exactly how long it takes for any combination of rate, deposit, and starting balance.
APR (Annual Percentage Rate) is the nominal rate. APY (Annual Percentage Yield) accounts for compounding and shows the effective annual return. APY = (1 + APR/n)^n − 1. At 5% APR, daily compounding gives APY = 5.127%. Banks advertise APY for savings accounts — use APY for accurate comparison.
Real return = nominal rate − inflation rate. At 5% savings rate with 3% inflation: real return ≈ 2%/yr. Your money grows, but purchasing power grows slower. For long-term goals, adjust future value for inflation: real future value = nominal FV / (1+inflation)^t.
Compare after-tax rates. If your savings rate is 4% and you have credit card debt at 20%, paying off debt gives a guaranteed 20% return. If savings earn more than debt costs, save. The breakeven: if debt interest rate > savings rate × (1 − tax rate), pay debt first.
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