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Effective Annual Yield โ€” APY vs APR

APY = (1 + APR/n)^n - 1. More compounding = higher effective yield. Compare APY, not APR.

Concept Fundamentals
5.116%
Effective APY
+0.116%
Difference
$10,511.62
Year-End
$11.62
Extra Earned

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Compare APY 12=monthly 365=daily HYSA 4-5%

Key figures
5.116%
Effective APY
Key figure
+0.116%
Difference
Key figure
$10,511.62
Year-End
Key figure
$11.62
Extra Earned
Key figure

Ready to run the numbers?

Why: APY is what you actually earn; APR is stated rate.

How: Enter nominal rate, compounding periods, and initial deposit.

Compare APY12=monthly

Run the calculator when you are ready.

Calculate APY
๐Ÿ“‰
APY vs APREffective yield โ€ข Compounding โ€ข Nominal rate

Effective Annual Yield โ€” APR to APY Conversion

Compare APY, not APR. More compounding = higher effective yield.

Sample Scenarios โ€” Click to Load

Rate Details

Stated rate
%
12=monthly
/year
To see earnings
$
savings_calc.sh
CALCULATED
$ analyze --type=effective-yield
Nominal APR
5%
Effective APY
5.116%
Year-End Balance
$10,511.62
Extra Earned
$11.62
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Effective Annual Yield Calculator
Effective APY
5.116%
numbervibe.com

Yield Analysis

Input

Nominal Rate (APR)5.000%
CompoundingMonthly
Initial Deposit$10,000.00

Effective Rate

Effective APY5.116%
Difference+0.116%

Earnings

Year-End Balance$10,511.62
Simple Interest Would Be$10,500.00
Extra from Compounding$11.62

Get AI-Powered Analysis

Understand compounding benefits in detail.

1. Key Takeaways

  • โ€ข APR = nominal, APY = effective
  • โ€ข Formula: APY = (1 + r/n)^n - 1
  • โ€ข Daily compounding maximizes returns
  • โ€ข Compare APY, not APR, between accounts
  • โ€ข Difference grows with higher rates
  • โ€ข HYSA typically compounds daily

2. Did You Know?

APR

Annual Percentage Rate (nominal)

APY

Annual Percentage Yield (effective)

Formula

APY = (1 + r/n)^n - 1

More compounding

Higher APY

Daily

Maximizes returns

HYSA

Usually compounds daily

3. How It Works

APY = (1 + r/n)^n - 1. r = nominal rate, n = compounding periods per year. Year-end balance = initial ร— (1 + r/n)^n. Extra from compounding = compound balance - simple interest balance.

Inputs

Nominal rate (APR), compounding periods per year, initial deposit

Outputs

Effective APY, difference, year-end balance, extra earnings

4. Expert Tips

Compare APY

Not APR between accounts

Daily compounding

Maximizes returns

Higher rates

Difference grows

HYSA

Typically compounds daily

5. Comparison Table

5% APRMonthlyDaily
APY5.12%5.13%

6. FAQ

APR vs APY?

APR = stated rate. APY = actual yield after compounding.

Best compounding?

Daily yields most; difference is small.

HYSA rate?

4-5% APY typical; compounds daily.

Why 12 for monthly?

12 compounding periods per year.

CD vs HYSA?

Compare APY; both compound.

7. Quick Stats

12

Monthly

365

Daily

4-5%

HYSA APY

APY

Compare

8. Sources

9. Disclaimer

โš ๏ธ Warning: Estimates only. Check actual account terms. Not financial advice.

For educational purposes only โ€” not financial advice. Consult a qualified advisor before making decisions.

๐Ÿ’ก Money Facts

APY

APY = (1 + APR/n)^n - 1

โ€” Finance

4-5%

HYSA typical APY 2024-2025

โ€” Market

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