Annualized Rate of Return Calculator
Enter the return for one period and choose how long the period is to find the compounded yearly rate.
Updated
Annualized Rate of Return Calculator
Our Annualized Rate of Return Calculator converts a return earned over one short period into the equivalent yearly rate. Enter the return for a single month, quarter, week or day, pick the period, and the compounded annual figure appears at once, with the simple (non-compounded) figure beside it. Use it to put savings rates, fund returns and trading results on the same yearly footing before you compare them.
Quick answer
The annualized rate is (1 + r)^n − 1, where r is the period rate and n the periods in a year: (1 + 0.02)^12 − 1 ≈ 26.82% a year.
- r: the return for one period, as a decimal (2% is 0.02).
- n: 1 annually, 4 quarterly, 12 monthly, 52 weekly, 365 daily.
- Compounded: 2% a month is about 26.82% a year, not 24%.
- Losses compound too: −1% a month is about −11.36% a year.
What Is an Annualized Rate of Return?
An annualized rate of return is the yearly return you would earn if a return for one period repeated every period for a full year and each gain was reinvested. It turns a monthly, quarterly, weekly or daily figure into one yearly number, so returns quoted over different periods can be compared directly.
= ((1 + r)^n − 1) × 100
- r: the period rate as a decimal. Enter 2 for 2%, and the calculator uses 0.02.
- n: how many of those periods fit in one year.
| Period | n per year |
|---|---|
| Annually | 1 |
| Quarterly | 4 |
| Monthly | 12 |
| Weekly | 52 |
| Daily | 365 |
How to Annualize a Monthly Return
A savings plan pays 2% a month and the interest stays in the account:
1.02^12 ≈ 1.268242
1.268242 − 1 ≈ 26.82%
- Write the rate as a decimal and add 1. 2% becomes 1.02, the growth factor for one month.
- Raise it to the number of periods in a year. 1.02^12 is about 1.268242.
- Subtract 1 and multiply by 100. The annualized return is about 26.82%.
Here is 1,000 left in the plan for a year. Each month earns 2% on a slightly bigger balance:
| Month | Balance at 2% |
|---|---|
| Month 0 | 1,000.00 |
| Month 3 | 1,061.21 |
| Month 6 | 1,126.16 |
| Month 9 | 1,195.09 |
| Month 12 | 1,268.24 |
Annualized Return Examples
| Period rate | Annualized |
|---|---|
| 4% a quarter | ≈ 16.99% |
| 2% a month | ≈ 26.82% |
| 0.5% a week | ≈ 29.61% |
| 0.05% a day | ≈ 20.02% |
| −1% a month | ≈ −11.36% |
A fund that gained 4% last quarter is running at about 16.99% a year: 1.04^4 − 1. A trading strategy that averages 0.05% a day works out to about 20.02% a year over 365 days. A loss compounds the same way, so −1% a month is about −11.36% a year, a little less than the 12% that simple multiplication suggests.
Annualized vs Simple Annual Return
- Simple annual return multiplies the period rate by n: 2% × 12 = 24%. It assumes gains are taken out each period.
- Annualized return compounds it: (1.02)^12 − 1 ≈ 26.82%. It assumes gains are reinvested.
The calculator shows both, and the gap between them as the compounding effect in percentage points. The gap grows with the period rate and with the number of periods. The same 12% a year, split into smaller and more frequent periods, compounds to:
| Split of 12% | Annualized |
|---|---|
| 12% once a year | 12% |
| 3% a quarter | ≈ 12.55% |
| 1% a month | ≈ 12.68% |
| 12 ÷ 365% a day | ≈ 12.75% |
This is the same idea as the effective annual rate or APY that banks quote for savings accounts.
Annualizing a Return Over Several Years
This calculator goes from a short period up to a year. To go the other way, from a total return over several years down to a yearly rate, take the root instead of the power:
= (1 + total return)^(1 ÷ years)
− 1
A portfolio that gained 40% in total over 3 years grew about 1.4^(1/3) − 1 ≈ 11.87% a year. That figure is the compound annual growth rate, which our CAGR Calculator finds from a start and end value.
Limitations and Common Mistakes
- It assumes the rate repeats. One strong month annualized is a projection, not a forecast. Real returns rise and fall.
- It assumes reinvestment. If interest is paid out, the simple figure is closer to what you receive.
- Wrong period count. Trading strategies often use about 252 trading days, not 365 calendar days. Choose the count that matches how the rate was measured.
- Percent vs decimal. Enter 2 for 2%. Entering 0.02 means 0.02% a period.
- Fees and taxes. Annualize the return after costs if you want what you actually keep.
Key Terms
- Period rate
- Return earned in one period.
- Annualized
- Period rate compounded over a year.
- n
- Number of periods in a year.
- Simple rate
- Period rate × n, no compounding.
- EAR / APY
- Bank names for an annualized rate.
How to Use the Annualized Rate of Return Calculator
- Enter the period rate. Type the return for one period as a percent, such as 2 for 2%. It can be negative but must be more than −100%.
- Choose the period. Pick how long one period is: annually, quarterly, monthly, weekly or daily. This sets n, the number of periods in a year.
- Read and copy the result. The annualized rate appears as you type, with the working, the simple rate, the compounding effect and what 1,000 grows to in a year. Press Copy to copy it, or Clear or Esc to start again.
Example: a period rate of 4% and a quarterly period. The result is about 16.9859% a year, from (1 + 0.04)^4 − 1.
Who Can Use This Calculator?
Frequently Asked Questions (FAQs)
How do you annualize a monthly return?
Add 1 to the monthly rate as a decimal, raise it to the power 12, subtract 1 and multiply by 100. For 2% a month: (1.02)^12 − 1 ≈ 26.82% a year.
What is the formula for the annualized rate of return?
Annualized rate = ((1 + r)^n − 1) × 100, where r is the return for one period as a decimal and n is the number of periods in a year (4 quarterly, 12 monthly, 52 weekly, 365 daily).
Why is the annualized return higher than the rate times 12?
Because each period earns a return on the gains of the periods before it. 2% × 12 = 24%, but compounded 2% a month is about 26.82% a year.
What is 4% a quarter as an annual return?
About 16.99% a year. 1.04^4 ≈ 1.169859, and 1.169859 − 1 ≈ 16.99%.
Can the annualized rate of return be negative?
Yes. A negative period rate compounds into a yearly loss. −1% a month is about −11.36% a year. The period rate must be more than −100%.
Why does the result change when I pick a different period?
The period sets how many times the rate compounds in a year. The same 1% compounds once a year as 1%, but 12 times as about 12.68%.
Is the annualized return what I will actually earn?
Only if the same return repeats every period and gains are reinvested. Treat it as a standard yearly figure for comparing options, not a guaranteed outcome.
Is the Annualized Rate of Return Calculator free?
Yes. It is completely free, needs no sign-up, and can be used as many times as you like.
Sources
- Corporate Finance Institute. Annualized Rate of Return.
- Corporate Finance Institute. Effective Annual Rate (EAR).
- Wikipedia. Rate of return.
- Wikipedia. Compound interest.
- Wikipedia. Effective interest rate.
- Wikipedia. Annual percentage yield.
Use our Annualized Rate of Return Calculator to see what a periodic return adds up to over a year in seconds.