Updated for the 2026-2027 CFA® Level I curriculum.
Returns are often quoted over different time periods, which makes a direct comparison harder than it first appears. Annualized return solves this by translating each result into an equivalent one-year rate.
For CFA Level I, focus on the compounding step and the length of the original holding period. Treat the final number as a standardized comparison rate while keeping the original time period and investment risk in view.
Quick Answer
An annualized return shows the constant yearly rate that would produce the same growth as a return earned over a shorter or longer holding period. Start with the growth factor, apply the exponent that matches the time period, and subtract 1. The result gives you a common basis for comparing returns measured over different lengths of time.
Key Takeaways
Annualizing converts a holding-period return into an equivalent one-year rate.
The calculation compounds the growth factor rather than scaling the percentage by simple multiplication.
Returns measured over less than one year use an exponent greater than 1.
Returns measured over more than one year use an exponent between 0 and 1, which takes a root of the growth factor.
Annualized return supports like-for-like return comparisons across different time periods.
Risk, volatility, fees, and liquidity still require separate analysis.
What You Need to Know for CFA Level I
Most annualized return questions become manageable once you translate the holding period into years and work with the full growth factor.
Convert percentage returns to decimals before calculating.
Add 1 to the holding-period return to form the growth factor.
Express the holding period as a fraction of one year. For example, four months is four-twelfths of a year, or one-third of a year.
Apply the exponent to the full growth factor.
Subtract 1 after compounding.
Interpret the result as an equivalent annual rate.
What Is an Annualized Return?
A holding-period return records the total gain or loss over the exact period being measured. A 3% return over four months and an 8% return over nine months cover different time horizons, so their raw percentages are difficult to compare directly.
Annualizing expresses both returns as equivalent one-year rates. The resulting figure is also called an annualized holding-period return. It shows the constant annual rate that would produce the same cumulative growth over the original holding period.
The calculation extends the observed growth rate across equivalent periods. Short measurement periods can therefore produce large annualized figures. Use the result as a standardized comparison rate and consider the original holding period before drawing a broader investment conclusion.
Annualized Return Formula
When the holding period is expressed in years, use the following annualized return formula:
Where:
= annualized return
= cumulative return over the measured period
t = holding period expressed in years
When you know the return for one equal period, use the periodic form:
Where:
= return for one equal period
c = number of equal periods in one year
The general formula works for both short and long holding periods. Four months is one-third of a year, while 15 months is one and one-quarter years.
How to Calculate an Annualized Return for Different Holding Periods
Return Measured Over Less Than One Year
For a holding period shorter than one year, the time input is below 1, so the annualization exponent is greater than 1.
A four-month return fits into one year three times, so the exponent is 3. A one-month return fits into one year 12 times, so the exponent is 12.
The calculation compounds the observed growth factor across the number of same-length periods in one year. A strong return over a short period can therefore produce a high annualized rate, even when the original holding-period return looks modest.
Cumulative Return Measured Over More Than One Year
For a holding period longer than one year, the time input is greater than 1, so the exponent falls between 0 and 1. This takes a root of the cumulative growth factor and produces the constant compound annual rate over the full period.
For example, 15 months is 1.25 years. The annualization exponent is 12 divided by 15, or 0.8.
Converting an Annual Return Into a Periodic Return
A question may give you an annual return and ask for the equivalent monthly or quarterly rate. Rearrange the relationship as follows:
Here, c is the number of equal periods in one year. Use 12 for monthly periods and 4 for quarterly periods.
How to Compare Investments Using Annualized Returns
Convert each holding-period return to the same annual basis before comparing the figures. This removes the time-period mismatch and shows which investment earned the higher equivalent annual rate.
A complete investment comparison should also account for volatility, downside risk, fees, liquidity, and any other factor relevant to the decision. Annualized return answers the return comparison only.
Worked Example: Comparing Two Annualized Returns
Suppose two investments report the following results:
Investment | Holding-Period Return | Time Held |
|---|---|---|
A | 3.8% | 4 months |
B | 8.5% | 9 months |
For Investment A, four months fits into one year three times. The annualization exponent is therefore 3.
For Investment B, nine months fits into one year one and one-third times. The annualization exponent is 12 divided by 9.
Investment A has the higher annualized return: 11.84% compared with 11.49% for Investment B. Its raw return is smaller, but it was earned over a much shorter period. Annualizing places both results on the same one-year basis and makes that relationship easier to see.
Common Exam Traps
Multiplying a monthly or quarterly return by the number of periods instead of compounding the growth factor.
Applying the exponent to the return alone instead of the full growth factor.
Entering months or days directly without converting the holding period into years.
Forgetting to subtract 1 after applying the exponent.
Reading a short-period annualized rate as an expected return for the next 12 months.
Choosing the higher annualized return without considering any risk measures provided elsewhere in the question.
Practice Question
A portfolio earns 18% over 15 months. What is the annualized return?
14.16%
18.00%
14.40%
Correct Answer: A
Fifteen months is 1.25 years. The annualization exponent is 12 divided by 15, or 0.8.
Option B keeps the 15-month return unchanged.
Option C multiplies 18% by 12 divided by 15, which applies simple scaling.
The compound annualized return comes from raising the full growth factor of 1.18 to the power of 0.8 and then subtracting 1.
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FAQs About Annualized Returns
What Is an Annualized Return?
An annualized return expresses an investment’s return as an equivalent one-year rate. It helps you compare investments measured over different holding periods using the same time basis.
How Do You Calculate an Annualized Return?
Start by adding 1 to the holding-period return. Raise that growth factor to the power of 1 divided by the holding period in years, then subtract 1.
For example, a four-month return uses an exponent of 3 because four months fits into one year three times.
Is Annualized Return the Same as Average Annual Return?
The terms are sometimes used loosely, but they can refer to different calculations. Annualized return usually means the compound annual rate that matches the investment’s total growth, while an average annual return may refer to a simple arithmetic average of yearly returns.
For CFA Level I, check whether the question requires compound annualization or an arithmetic average.
Does Annualized Return Account for Investment Risk?
Annualized return measures return only. It does not account for volatility, downside risk, liquidity, fees, or the probability that the same performance will continue.
Can an Annualized Return Be Negative?
Yes. A negative holding-period return produces a negative annualized return when the investment loses value over the measurement period. The annualized figure expresses that loss as an equivalent yearly rate.