Calculate Annual Percentage Yield for savings accounts, CDs, and investments. Compare compounding frequencies from daily to continuous with real HYSA rate data.
Scenario: You deposit $10,000 in a high-yield savings account offering a 5.00% nominal rate compounded monthly for 5 years.
Calculation: APY = (1 + 0.05/12)12 − 1 = 5.1162%
Future Value: $10,000 × (1.051162)5 = $12,833.59
Total Interest: $2,833.59
Scenario: You invest $5,000 in a CD with a 4.50% nominal rate compounded daily for 3 years.
Calculation: APY = (1 + 0.045/365)365 − 1 = 4.6028%
Future Value: $5,000 × (1.046028)3 = $5,722.44
Total Interest: $722.44
Scenario: You place $20,000 in an investment that compounds continuously at a 6.00% nominal rate for 10 years.
Calculation: APY = e0.06 − 1 = 6.1837%
Future Value: $20,000 × (1.061837)10 = $36,433.56
Total Interest: $16,433.56
APY Formula (Discrete Compounding):
APY Formula (Continuous Compounding):
Future Value: FV = PV × (1 + APY)t
Where:
r = Nominal annual interest rate (as a decimal, e.g., 5% = 0.05)
n = Number of compounding periods per year
e = Euler's number (~2.71828)
t = Time horizon in years
PV = Present value (initial principal)
Daily, weekly, monthly, quarterly, annually, or continuous — compare them all side by side.
See APY, future value, and total interest updated instantly with every calculation.
Benchmarked against current high-yield savings account rates of 4.00%–5.00% APY as of 2026.
Compare APY across CD terms: 3-month, 6-month, 1-year, and 5-year using average rate benchmarks.
Annual Percentage Yield (APY) represents the real rate of return on your money when compounding interest is taken into account. Unlike the nominal interest rate (APR) which only states the base rate before compounding, APY shows what you actually earn over a full year. This makes APY the single most important number to compare when evaluating savings accounts, certificates of deposit (CDs), money market accounts, and other interest-bearing investments.
The difference between APY and APR may seem small, but over time it has a significant impact on your earnings. For example, a savings account with a 5.00% nominal rate compounded daily yields an APY of approximately 5.13%. On a $10,000 deposit over five years, that extra 0.13% compounds to over $70 in additional interest. The more frequently interest compounds, the wider the gap between APR and APY becomes.
As of 2026, competitive high-yield savings accounts (HYSAs) offer APYs ranging from 4.00% to 5.00%, with online banks typically providing the highest rates due to lower overhead costs. Credit unions and traditional brick-and-mortar banks often offer lower rates, making it essential to compare APY rather than APR when shopping for the best return on your savings.
The frequency at which interest compounds has a direct and measurable effect on your APY and ultimate returns. All else being equal, more frequent compounding produces a higher effective yield. Below is a comparison table showing how the same 5.00% nominal rate produces different APY values depending on the compounding schedule.
| Compounding Frequency | Periods/Year | APY on 5.00% APR | FV of $10,000 (5 yrs) | Additional Interest vs. Annual |
|---|---|---|---|---|
| Daily | 365 | 5.1267% | $12,840.30 | +$56.72 |
| Monthly | 12 | 5.1162% | $12,833.59 | +$50.01 |
| Quarterly | 4 | 5.0945% | $12,820.37 | +$36.79 |
| Semi-Annually | 2 | 5.0625% | $12,806.89 | +$23.31 |
| Annually | 1 | 5.0000% | $12,783.58 | $0.00 (baseline) |
| Continuous | ∞ | 5.1271% | $12,840.62 | +$57.04 |
Key insight: Moving from annual to daily compounding on a 5.00% rate adds approximately $56.72 in interest on a $10,000 deposit over five years. Continuous compounding offers only a marginal benefit beyond daily compounding — the difference between daily and continuous APY is just 0.0004 percentage points.
Certificates of deposit typically offer higher rates for longer commitment periods, though the relationship is not always linear. Current market data shows the following average APY ranges by CD term:
Use this APY calculator to model any combination of nominal rate, compounding frequency, principal amount, and time horizon to see exactly how your money can grow.
APR (Annual Percentage Rate) and APY (Annual Percentage Yield) are two of the most commonly confused financial terms, yet they serve distinctly different purposes. APR is the simple annual rate that does not account for compounding — it is the base rate quoted by banks and lenders. APY, on the other hand, incorporates the effect of compounding to show the true annualized return.
When you are earning interest (savings accounts, CDs, investments), APY is the number that matters because it reflects what you actually earn. When you are paying interest (loans, credit cards), APR is typically the relevant figure — though some lenders also quote APY to make rates seem higher. Always compare APY vs APY when evaluating savings products, and APR vs APR when evaluating loans. Mixing the two can lead to misleading comparisons that cost you money.
For example, a bank advertising "5.00% APY" on a savings account that compounds daily is offering a nominal rate (APR) of approximately 4.88%. This means the bank's compounding interest makes up the remaining 0.12% to reach a full 5.00% effective yield. Understanding this relationship helps you make more informed financial decisions and avoid being misled by advertised rates that seem higher or lower than they actually are.
Important Disclaimer: This APY calculator provides estimates based on the inputs you supply. Actual returns may vary based on the specific terms and conditions of your financial institution, including compounding policies, early withdrawal penalties for CDs, and rate changes on variable-rate accounts. Always verify current rates and terms directly with your bank or credit union before making financial decisions. This tool is for educational and planning purposes only and does not constitute financial advice.