Continuously compounded to effective annual rate
Type a value in e^r 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 e^r 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 e^r = 1.00502 EAR.
Every unit
Your rate in every form
Tables
e^r to EAR conversion table
| e^r | EAR |
|---|---|
| 0.5 e^r | 0.501252 EAR |
| 1 e^r | 1.00502 EAR |
| 2 e^r | 2.02013 EAR |
| 3 e^r | 3.04545 EAR |
| 5 e^r | 5.12711 EAR |
| 7 e^r | 7.25082 EAR |
| 10 e^r | 10.5171 EAR |
| 15 e^r | 16.1834 EAR |
| 20 e^r | 22.1403 EAR |
| 30 e^r | 34.9859 EAR |
| 50 e^r | 64.8721 EAR |
EAR to e^r conversion table
| EAR | e^r |
|---|---|
| 0.5 EAR | 0.498754 e^r |
| 1 EAR | 0.995033 e^r |
| 2 EAR | 1.98026 e^r |
| 3 EAR | 2.95588 e^r |
| 5 EAR | 4.87902 e^r |
| 7 EAR | 6.76586 e^r |
| 10 EAR | 9.53102 e^r |
| 15 EAR | 13.9762 e^r |
| 20 EAR | 18.2322 e^r |
| 30 EAR | 26.2364 e^r |
| 50 EAR | 40.5465 e^r |
Quick answers
Quick answers
- How many EAR is 1 e^r?
- 1 e^r is 1.00502 EAR.
- How many EAR is 10 e^r?
- 10 e^r is 10.5171 EAR.
The units
About these units
Continuously compounded (e^r)
The mathematical limit, used in option pricing.
Effective annual rate (EAR)
What you actually pay or earn over a year, compounding included.
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