Annualized Return Explained

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Annualized Return

An annualized total return is the return earned on an investment each year, taking the effect of compounding into account. Another term known for annualized return is the Compounded Annual Growth Rate (CAGR). The CAGR formula equals (Ending Value/Beginning Value) ^ (1/No. of Periods) – 1. Use the AR to measure and compare investments’ past performance or to project their expected future returns.

The total return represents the money invested over time. It is a calculated average of annual company returns that shows how much investors would earn if the annual compounded investment returns were.

Investors should calculate a company’s annualized return, which reveals the average return or loss over 12 months and shows it as a percentage.

Why should I bother knowing an investment’s annualized total return? Firstly, you should want to make informed decisions regarding where to put your money.

We all want the most bang for our buck, and utilizing the annualized returns is a good place to start. Likewise, calculating an investment’s annualized total return is a method that can help investors make choices that meet their expectations.

Using this measure, investors can compare the annualized total returns of different investments, such as stocks, bonds, real estate, and other assets, over various periods.

Key Takeaways

  • The returns on your investment tell you how much your investments grew or declined, on average, each year of a multi‑year period, with the effect of compounding
  • An annualized total return offers just a single view of an investment’s performance without indicating its volatility or price changes.
  • Investors should assess investment performance over longer periods, such as 3-year, 5-year, or longer timeframes, to avoid bias in performance calculations.
Annualized Return

What Is the Formula?

To calculate an investment’s AR, divide its ending value by its initial value. Secondly, raise the result to the power of 1/n (where n is the number of years) and subtract by 1. The formula is as follows:

(1 + Investment Return)^(1/Number of Years) – 1

Where

  • R1 refers to the first year’s annual return
  • R2 is the second year’s annual return, and so on
  • n is the number of years

What Are Some Limitations?

There can be a few limitations if you look solely at the AR. Let’s go ahead and unpack them below.

Over Simplification & Assumptions

The AR assumes that the investment’s performance stays the same throughout the holding period. However, this may not be the case in reality. Also, it does not consider any changes in the investment, such as reinvestment of dividends or interest, or additional contributions or withdrawals.

Impact of Volatility

Unfortunately, annualized returns don’t take into account the volatility of a security. Hence, even though investments with high volatility could have the same annualized return as those with low volatility, they can be riskier. An annualized total return offers just a single view of an investment’s performance with no indication of its volatility or price changes.

Performance Period Bias

You need to keep in mind the time frame you use when calculating your investment returns, or your results could be biased. For example, let’s say you calculate the annualized return of your stock investment during a bull market.

Essentially, you select only the most favourable time. In that case, the resulting return may exaggerate the stock’s performance.

Not surprisingly, picking a time frame during a market downturn to do your analysis might significantly underestimate your investment’s performance.

To avoid bias in performance calculations, investors should assess investment performance over longer periods, like 3-year, 5-year, or longer timeframes.

Understanding how an investment has performed in different markets can help reduce the impact of short-term changes on the calculated return.

What Is a Good Annualized Rate of Return?

A good annualized rate of return can differ based on individual circumstances, risk tolerance, and investment objectives. Nonetheless, a return that exceeds inflation and offers reasonable growth over time is typically viewed favorably.

Historically, we’ve seen an average AR of about 7-10% in the stock market after adjusting for inflation. Achieving a return within or above this range is generally considered a good annualized rate of return for long-term investments.

Ultimately, what could be considered a good annualized rate of return for one individual may not be the same for another. Firstly, we all have different investing goals, risk tolerance, time horizons, and money to invest.  

Purpose Behind Calculating the Annualized Return

Evaluating The Performance of Your Investments

The annualized return is the average annual return over any period. This includes price movement and dividend reinvestments (also assumes no taxes). Basically, the number you get will tell you how your investment did and if you need to take any action.

Benchmarking & Constructing Your Investing Portfolio

If you have been investing in the market for quite a while and want to know if your strategy is working, this is where annualized returns come in handy. As long as you use the same time frame and calculation, you’re able to compare your portfolio to a benchmark or another portfolio.

For example, if your five-year annualized return is 10%, but the S&P 500 is 12%, it’s clear the S&P is outperforming your portfolio.

With this information, you can make a decision as to whether you want to pivot your approach and allocate your assets differently.

Financial Planning

As you likely are aware, the term financial planning has many facets. From retirement planning to saving for your children’s education or a new home, financial planning is key.

What Are Some Practical Applications?

  • Businesses use annualized total returns to project their financial results, assuming that current conditions will continue.
  • Annualization enables taxpayers to convert tax periods of less than a year into an annual period, aiding in effective planning.
  • Short-term borrowing loan rates and investments are annualized for comparison.
Annualized Rate of Return

Real-Life Example of Annualized Return

As you already know, to calculate an investment’s AR, divide an investment’s ending value by its initial value, raise the result to the power of 1/n (where n is the number of years), and subtract 1.

Below is the formula for reference:
Annualized Return = (1 + Investment Return)^(1/Number of Years) – 1

Using this formula, if an investment achieved a cumulative return of 25% over five years, the annualized return would be:

Annualized Return = (1 + 0.25)^(1/5) – 1 ≈ 0.048

Converting this to a percentage, the annualized return for this investment over the five years would be approximately 4.8%.

Absolute Return vs Annualized Return

Absolute return is an investment’s total gain or loss without considering the investment period. On the other hand, the AR calculates the average rate of return per year.

Annualized return helps make more meaningful comparisons between investments with different holding periods.

When examining an investment’s performance, you might see its total or absolute return. The total return shows how much money the investment made without considering how long the money was invested. It’s calculated as a percentage of the initial investment.

For example, if you invested $20,000 and returned $25,000 after three years, the total return would be ($25,000 – $20,000) / $20,000 = 0.25, or 25%. However, this doesn’t consider the three years you had to wait for the money.

Remember that while it’s easy to calculate the absolute return, it can’t be used to compare investments with different periods. On the other hand, the annualized total return tells you the return on investment for one year. It makes it easier to compare investments with different time frames.

For instance, if you have two investments with annualized total returns of 8.5% and 9.8%, choosing the one with 9.8% would be reasonable. The annualized total return considers the effect of compounding and adjusts the period of absolute return to one year.

What's a Good Return?

A reasonable yearly return on investment is typically around 7%, based on the historical average return of the S&P 500 and adjusted for inflation. However, what one investor considers a satisfactory return may not be suitable for another.

While achieving a “good” return on investments is important, it’s also important to understand that the US stock market’s average is simply an average of the market’s performance, usually dating back to the 1920s.

Furthermore, the S&P 500 serves as an indicator of the equity markets and only represents the performance of the 500 largest companies in the U.S. Most investors will hold other types of securities in addition to stocks, which can impact their overall portfolio return.

Final Thoughts on Annualized Return

When you have a range of investments, it’s helpful to use the annualized rate of return to compare how well each one is doing. 

It’s especially useful for investments with uncertain percentage rates. Using a single annualized percentage, you can easily see which investments are not doing well and which are giving the best returns over time.

For example, if you had a 15% gain last year, it might be followed by a 25% loss this year. As a result, this can make it hard to know how your investments perform, especially if they have volatile returns or variable interest rates.

Frequently Asked Questions

To calculate an investment's AR, divide its ending value by its initial value. Secondly, raise the result to the power of 1/n (where n is the number of years) and subtract by 1. The formula is as follows:

(1 + Investment Return)^(1/Number of Years) - 1

The 3-year AR measures the average annual return of an investment over a three-year time frame. Calculating the annualized return for three years involves converting the total return over three years into an annualized percentage return, providing a standardized measure of investment performance.

A good return on investment is around 7% a year. It considers the average historical yield of the S&P 500 index and factors in inflation. However, it's important to note that this is subjective; what one investor feels is a good return may not align with another investor's expectations.

As I mentioned above, what one investor considers a good return might not be good for another. However, anything above inflation is generally considered good.

Our editors independently research our articles and review the best products and services. We may receive commissions on purchases made from links in articles. All information provided is for educational purposes and is not investment advice or buy/sell recommendations. Read our full disclaimer.

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