convertimate Interest rates

Nominal APR, monthly to effective annual rate

Type a value in APR to get it in EAR instantly.

1.005EAR

Nothing on our list is smaller: a savings account is 1.99× higher. A thousand left at that rate for ten years becomes about 1,105.

What it means

What does that rate cost?

Information only, not financial advice. Real products add fees, and legal definitions of APR differ between countries.

The math

How to convert APR to EAR

Compounding is a power, not a multiplication: EAR = (1 + periodic rate)ⁿ − 1, with n periods in the year. A nominal APR is simply the periodic rate times n, which is why it always reads lower.

Example: 1 APR = 1.0046 EAR.

Every unit

Your rate in every form

Tables

APR to EAR conversion table

APR to EAR conversion table
APREAR
0.5 APR0.501147 EAR
1 APR1.0046 EAR
2 APR2.01844 EAR
3 APR3.0416 EAR
5 APR5.11619 EAR
7 APR7.22901 EAR
10 APR10.4713 EAR
15 APR16.0755 EAR
20 APR21.9391 EAR
30 APR34.4889 EAR
50 APR63.2094 EAR
EAR to APR conversion table
EAR to APR conversion table
EARAPR
0.5 EAR0.498858 APR
1 EAR0.995446 APR
2 EAR1.9819 APR
3 EAR2.95952 APR
5 EAR4.88895 APR
7 EAR6.78497 APR
10 EAR9.56897 APR
15 EAR14.0579 APR
20 EAR18.3714 APR
30 EAR26.5253 APR
50 EAR41.2393 APR

Quick answers

Quick answers

How many EAR is 1 APR?
1 APR is 1.0046 EAR.
How many EAR is 10 APR?
10 APR is 10.4713 EAR.

The units

About these units

Nominal APR, monthly (APR)

The monthly rate times twelve, ignoring compounding.

Effective annual rate (EAR)

What you actually pay or earn over a year, compounding included.

Learn more about rate units

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