What is the difference between APR and APY?

APR (Annual Percentage Rate) is the simple interest rate without accounting for compounding. APY (Annual Percentage Yield) is the actual annual return including the effect of compounding. For example, a savings account with a 4% APR compounded daily has an APY of about 4.08%. The more frequently interest compounds, the higher the APY compared to the APR. APY is the more accurate measure of your real annual return.

How does compounding frequency affect my returns?

More frequent compounding means you earn interest on your interest sooner, resulting in higher overall returns. Daily compounding produces slightly higher returns than monthly, which beats quarterly, which beats annual. However, the difference between daily and monthly compounding is usually small for most account sizes. For a 4% APR: Daily APY ≈ 4.08%, Monthly ≈ 4.07%, Quarterly ≈ 4.06%, Annual = 4%.

What is a good APY for a savings account?

High-yield savings accounts currently offer APYs of 4% to 5%. Traditional bank savings accounts offer much less, typically 0.01% to 0.1%. Money market accounts typically offer 4% to 5%. Certificates of Deposit (CDs) with longer terms often offer 4% to 5.5%. The best rates are usually found at online banks. Compare your current account rate to market rates to ensure you are not leaving money on the table.

Do monthly deposits significantly increase my savings?

Yes, monthly deposits can dramatically increase your savings over time, especially with the power of compounding. For example, saving $200/month at 4% APY for 10 years yields about $26,000, where about $2,400 comes from interest alone. Consistent monthly deposits are more powerful than you might think, especially over long periods. Even small regular contributions compound significantly over decades.

Does this calculator account for taxes or inflation?

This calculator shows the nominal return (the actual dollar amount earned) without accounting for taxes or inflation. Interest earned on savings accounts and money market accounts is taxable as ordinary income in most jurisdictions. Inflation erodes the purchasing power of your savings. For a true picture of real returns, subtract your marginal tax rate from the interest earned and account for expected inflation.

APY Calculator

Calculate Annual Percentage Yield (APY) and project savings growth with regular deposits. Compare compounding frequencies and see the true annual return on your savings.

How to Use This APY Calculator

Enter your savings details to calculate APY and project account growth:

Principal Amount: Your starting balance or initial deposit.
Annual Interest Rate (APR): The annual percentage rate offered by your account.
Compounding Frequency: How often interest compounds (daily offers slightly higher returns than monthly or annually).
Monthly Deposit Amount: Additional amount you plan to deposit each month (optional).
Time Period: How many years you plan to keep the money in the account.

The calculator displays your APY, final balance, total interest earned, and a chart showing growth over time.

What Is APY?

Annual Percentage Yield (APY) is the true annual rate of return on a savings or investment account, accounting for the effect of compound interest. Unlike APR (Annual Percentage Rate), which is a simple interest rate, APY reflects how frequently interest is compounded within the year.

For savers, understanding APY is crucial for comparing different savings accounts and maximizing the growth of your money. Even small differences in APY can result in significant differences in returns over years or decades. An APY calculator helps you project savings growth and compare scenarios.

Formula & Methodology

Key formulas used in this calculator:

APY = (1 + r/n)ⁿ − 1, where r = annual rate, n = compounding periods
Compound Balance = Principal × (1 + r/n)^n×t
Future Value of Deposits = PMT × [((1 + r/n)^n×t − 1) / (r/n)]
Total Interest = Final Balance − Total Deposits
Effective Annual Rate = APY

Practical Examples

Example 1: $5,000 principal, 4.5% APR, daily compounding. APY = 4.60%. Over 5 years with no additional deposits, your balance grows to $6,252, earning $1,252 in interest.

Example 2: $5,000 principal + $200 monthly deposits, 4.5% APR, daily compounding, 5 years. Final balance = $17,288, where $17,288 - $17,000 = $288 from interest (higher due to deposit compounding).

Frequently Asked Questions

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