Average Annual Return (AAR): Definition, Calculation, and Example

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Average Annual Return (AAR): Definition, Calculation, and Example

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What Is the Average Annual Return (AAR)?

The average annual return (AAR) is a percentage used when reporting the historical return, such as the three-, five-, and 10-year average returns of a mutual fund. The average annual return is stated net of a fund’s operating expense ratio. Additionally, it does not include sales charges, if applicable, or portfolio transaction brokerage commissions.

In its simplest terms, the average annual return (AAR) measures the money made or lost by a mutual fund over a given period. Investors considering a mutual fund investment will often review the AAR and compare it with other similar mutual funds as part of their mutual fund investment strategy.

Key Takeaways

  • The average annual return (AAR) is a percentage that represents a mutual fund’s historical average return, usually stated over three-, five-, and 10 years.
  • Before making a mutual fund investment, investors frequently review a mutual fund’s average annual return as a way to measure the fund’s long-term performance.
  • The three components that contribute to the average annual return of a mutual fund are share price appreciation, capital gains, and dividends.

Understanding the Average Annual Return (AAR)

When you are selecting a mutual fund, the average annual return is a helpful guide for measuring a fund’s long-term performance. However, investors should also look at a fund’s yearly performance to fully appreciate the consistency of its annual total returns.

For example, a five-year average annual return of 10% looks attractive. However, if the yearly returns (those that produced the average annual return) were +40%, +30%, -10%, +5% and -15% (50 / 5 = 10%), performance over the past three years warrants examination of the fund’s management and investment strategy.

Components of an Average Annual Return (AAR)

There are three components that contribute to the average annual return (AAR) of an equity mutual fund: share price appreciation, capital gains, and dividends.

Share Price Appreciation

Share price appreciation results from unrealized gains or losses in the underlying stocks held in a portfolio. As the share price of a stock fluctuates over a year, it proportionately contributes to or detracts from the AAR of the fund that maintains a holding in the issue.

For example, the American Funds AMCAP Fund’s top holding is Netflix (NFLX), which represents 3.7% of the portfolio’s net assets as of Feb. 29, 2020. Netflix is one of 199 equities in the AMCAP fund. Fund managers can add or subtract assets from the fund or change the proportions of each holding as needed to meet the fund’s performance objectives. The fund’s combined assets have contributed to the portfolio’s 10-year AAR of 11.58% through Feb. 29, 2020.

Capital Gains Distributions

Capital gains distributions paid from a mutual fund result from the generation of income or sale of stocks from which a manager realizes a profit in a growth portfolio. Shareholders can opt to receive the distributions in cash or reinvest them in the fund. Capital gains are the realized portion of AAR. The distribution, which reduces share price by the dollar amount paid out, represents a taxable gain for shareholders.

A fund can have a negative AAR and still make taxable distributions. The Wells Fargo Discovery Fund paid a capital gain of $2.59 on Dec. 11, 2015, despite the fund having an AAR of negative 1.48%.

Dividends

Quarterly dividends paid from company earnings contribute to a mutual fund’s AAR and also reduce the value of a portfolio’s net asset value (NAV). Like capital gains, dividend income received from the portfolio can be reinvested or taken in cash.

Large-cap stock funds with positive earnings typically pay dividends to individual and institutional shareholders. These quarterly distributions comprise the dividend yield component of a mutual fund’s AAR. The T. Rowe Price Dividend Growth Fund has a trailing 12-month yield of 1.36%, a contributing factor to the fund’s three-year AAR of 15.65% through Feb. 29, 2020.

Special Considerations

Calculating an average annual return is much simpler than the average annual rate of return, which uses a geometric average instead of a regular mean. The formula is: [(1+r1) x (1+r2) x (1+r3) x … x (1+ri)] (1/n) – 1, where r is the annual rate of return and n is the number of years in the period.

The average annual return is sometimes considered less useful for giving a picture of the performance of a fund because returns compound rather than combine. Investors must pay attention when looking at mutual funds to compare the same types of returns for each fund. 

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Average Annual Growth Rate (AAGR): Definition and Calculation

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Average Annual Growth Rate (AAGR): Definition and Calculation

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What Is Average Annual Growth Rate (AAGR)?

The average annual growth rate (AAGR) reports the mean increase in the value of an individual investment, portfolio, asset, or cash flow on an annualized basis. It doesn’t take compounding into account.

Key Takeaways

  • Average annual growth rate (AAGR) is the average annualized return of an investment, portfolio, asset, or cash flow over time.
  • AAGR is calculated by taking the simple arithmetic mean of a series of returns.
  • AAGR is a linear measure that does not account for the effects of compounding—to account for compounding, compound annual growth rate (CAGR) would be used instead.

Formula for Average Annual Growth Rate (AAGR)


A A G R = G R A + G R B + + G R n N where: G R A = Growth rate in period A G R B = Growth rate in period B G R n = Growth rate in period  n N = Number of payments \begin{aligned} &AAGR = \frac{GR_A + GR_B + \dotso + GR_n}{N} \\ &\textbf{where:}\\ &GR_A=\text{Growth rate in period A}\\ &GR_B=\text{Growth rate in period B}\\ &GR_n=\text{Growth rate in period }n\\ &N=\text{Number of payments}\\ \end{aligned}
AAGR=NGRA+GRB++GRnwhere:GRA=Growth rate in period AGRB=Growth rate in period BGRn=Growth rate in period nN=Number of payments

Understanding the Average Annual Growth Rate (AAGR)

The average annual growth rate helps determine long-term trends. It applies to almost any kind of financial measure including growth rates of profits, revenue, cash flow, expenses, etc. to provide the investors with an idea about the direction wherein the company is headed. The ratio tells you your average annual return.

The average annual growth rate is a calculation of the arithmetic mean of a series of growth rates. AAGR can be calculated for any investment, but it will not include any measure of the investment’s overall risk, as measured by its price volatility. Furthermore, the AAGR does not account for periodic compounding.

AAGR is a standard for measuring average returns of investments over several time periods on an annualized basis. You’ll find this figure on brokerage statements and in a mutual fund’s prospectus. It is essentially the simple average of a series of periodic return growth rates.

One thing to keep in mind is that the periods used should all be of equal length—for instance, years, months, or weeks—and not to mix periods of different duration.

AAGR Example

The AAGR measures the average rate of return or growth over a series of equally spaced time periods. As an example, assume an investment has the following values over the course of four years:

  • Beginning value = $100,000
  • End of year 1 value = $120,000
  • End of year 2 value = $135,000
  • End of year 3 value = $160,000
  • End of year 4 value = $200,000

The formula to determine the percentage growth for each year is:


Simple percentage growth or return = ending value beginning value 1 \text{Simple percentage growth or return} = \frac{\text{ending value}}{\text{beginning value}} – 1
Simple percentage growth or return=beginning valueending value1

Thus, the growth rates for each of the years are as follows:

  • Year 1 growth = $120,000 / $100,000 – 1 = 20%
  • Year 2 growth = $135,000 / $120,000 – 1 = 12.5%
  • Year 3 growth = $160,000 / $135,000 – 1 = 18.5%
  • Year 4 growth = $200,000 / $160,000 – 1 = 25%

The AAGR is calculated as the sum of each year’s growth rate divided by the number of years:


A A G R = 20 % + 12.5 % + 18.5 % + 25 % 4 = 19 % AAGR = \frac{20 \% + 12.5 \% + 18.5 \% + 25 \%}{4} = 19\%
AAGR=420%+12.5%+18.5%+25%=19%

In financial and accounting settings, the beginning and ending prices are usually used. Some analysts may prefer to use average prices when calculating the AAGR depending on what is being analyzed.

As another example, consider the five-year real gross domestic product (GDP) growth for the United States over the last five years. The U.S. real GDP growth rates for 2017 through 2021 were 2.3%, 2.9%, 2.3%, -3.4%, and 5.7%, respectively. Thus, the AAGR of U.S. real GDP over the last five years has been 1.96%, or (2.3% + 2.9% + 2.3% + -3.4% + 5.7%) / 5.

AAGR vs. Compound Annual Growth Rate

AAGR is a linear measure that does not account for the effects of compounding. The above example shows that the investment grew an average of 19% per year. The average annual growth rate is useful for showing trends; however, it can be misleading to analysts because it does not accurately depict changing financials. In some instances, it can overestimate the growth of an investment.

For example, consider an end-of-year value for year 5 of $100,000 for the AAGR example above. The percentage growth rate for year 5 is -50%. The resulting AAGR would be 5.2%; however, it is evident from the beginning value of year 1 and the ending value of year 5, the performance yields a 0% return. Depending on the situation, it may be more useful to calculate the compound annual growth rate (CAGR).

The CAGR smooths out an investment’s returns or diminishes the effect of the volatility of periodic returns. 

Formula for CAGR


C A G R = Ending Balance Beginning Balance 1 # Years 1 CAGR = \frac{\text{Ending Balance}}{\text{Beginning Balance}}^{\frac{1}{\text{\# Years}}} – 1
CAGR=Beginning BalanceEnding Balance# Years11

Using the above example for years 1 through 4, the CAGR equals:


C A G R = $ 200 , 000 $ 100 , 000 1 4 1 = 18.92 % CAGR = \frac{\$200,000}{\$100,000}^{\frac{1}{4}}- 1 = 18.92\%
CAGR=$100,000$200,000411=18.92%

For the first four years, the AAGR and CAGR are close to one another. However, if year 5 were to be factored into the CAGR equation (-50%), the result would end up being 0%, which sharply contrasts the result from the AAGR of 5.2%.

Limitations of the AAGR

Because AAGR is a simple average of periodic annual returns, the measure does not include any measure of the overall risk involved in the investment, as calculated by the volatility of its price. For instance, if a portfolio grows by a net of 15% one year and 25% in the next year, the average annual growth rate would be calculated to be 20%.

To this end, the fluctuations occurring in the investment’s return rate between the beginning of the first year and the end of the year are not counted in the calculations thus leading to some errors in the measurement.

A second issue is that as a simple average it does not care about the timing of returns. For instance, in our example above, a stark 50% decline in year 5 only has a modest impact on total average annual growth. However, timing is important, and so CAGR may be more useful in understanding how time-chained rates of growth matter.

What Does the Average Annual Growth Rate (AAGR) Tell You?

The average annual growth rate (AAGR) identifies long-term trends of such financial measures as cash flows or investment returns. AAGR tells you what the annual return has been (on average), but it does not take into account compounding.

What Are the Limitations of Average Annual Growth Rate?

AAGR may overestimate the growth rate if there are both positive and negative returns. It also does not include any measure of the risk involved, such as price volatility—nor does it factor in the timing of returns.

How Does Average Annual Growth Rate Differ From Compounded Annual Growth Rate (CAGR)?

Average annual growth rate (AAGR) is the average increase. It is a linear measure and does not take into account compounding. Meanwhile, the compound annual growth rate (CAGR) does and it smooths out an investment’s returns, diminishing the effect of return volatility.

How Do You Calculate the Average Annual Growth Rate (AAGR)?

The average annual growth rate (AAGR) is calculated by finding the arithmetic mean of a series of growth rates.

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What Is Activity-Based Budgeting (ABB)? How It Works and Example

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What Is Activity-Based Budgeting (ABB)? How It Works and Example

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What is Activity-Based Budgeting (ABB)?

Activity-based budgeting (ABB) is a system that records, researches, and analyzes activities that lead to costs for a company. Every activity in an organization that incurs a cost is scrutinized for potential ways to create efficiencies. Budgets are then developed based on these results.

Activity-based budgeting (ABB) is more rigorous than traditional budgeting processes, which tend to merely adjust previous budgets to account for inflation or business development.

Key Takeaways

  • Activity-based budgeting (ABB) is a method of budgeting where activities that incur costs are recorded, analyzed and researched.
  • It is more rigorous than traditional budgeting processes, which tend to merely adjust previous budgets to account for inflation or business development.
  • Using activity-based budgeting (ABB) can help companies to reduce costs and, as a result, squeeze more profits from sales.
  • This method is particularly useful for newer companies and firms undergoing material changes.

How Activity-Based Budgeting (ABB) Works

Keeping costs to a minimum is a crucial part of business management. When done effectively and not too excessively, companies should be able to maintain and keep growing their revenues, while squeezing out higher profits from them.

Using activity-based budgeting (ABB) can help companies to reduce the activity levels required to generate sales. Eliminating unnecessary costs should boost profitability.

The activity-based budgeting (ABB) process is broken down into three steps.

  1. Identify relevant activities. These cost drivers are the items responsible for incurring revenue or expenses for the company.
  2. Determine the number of units related to each activity. This number is the baseline for calculations.
  3. Delineate the cost per unit of activity and multiply that result by the activity level.

Activity-Based Budgeting (ABB) Vs. Traditional Budgeting Processes

Activity-based budgeting (ABB) is an alternative budgeting practice. Traditional methods are more simplistic, adjusting prior period budgets to account for inflation or revenue growth. Rather than using past budgets to calculate how much a firm will spend in the current year, activity-based budgeting (ABB) digs deeper.

Activity-based budgeting (ABB) is not necessary for all companies. For example, established firms that experience minimal change typically find that applying a flat rate to data from the previous year to reflect business growth and inflation is sufficient.

In contrast, newer companies without access to historical budgeting information cannot consider this an option. Activity-based budgeting (ABB) is also likely to be implemented by firms undergoing material changes, such as those with new subsidiaries, significant customers, business locations, or products. In these types of cases, historical information may no longer be a useful basis for future budgeting.

Example of Activity-Based Budgeting

Company A anticipates receiving 50,000 sales orders in the upcoming year, with each single order costing $2 to process. Therefore, the activity-based budget (ABB) for the expenses relating to processing sales orders for the upcoming year is $100,000 ($50,000 * $2). 

This figure may be compared to a traditional approach to budgeting. If last year’s budget called for $80,000 of sales order processing expenses and sales were expected to grow 10%, only $88,000 ($80,000 + ($80,000 * 10%)) is budgeted.

Advantages and Disadvantages of Activity-Based Budgeting

Activity-based budgeting (ABB) systems allow for more control over the budgeting process. Revenue and expense planning occurs at a precise level that provides useful details regarding projections. ABB allows for management to have increased control over the budgeting process and to align the budget with overall company goals.

Unfortunately, these benefits come at a cost. Activity-based budgeting (ABB) is more expensive to implement and maintain than traditional budgeting techniques and more time consuming as well. Moreover, ABB systems need additional assumptions and insight from management, which can, on occasion, result in potential budgeting inaccuracies. 

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AAA: Definition as Credit Rating, Criteria, and Types of Bonds

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AAA: Definition as Credit Rating, Criteria, and Types of Bonds

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What Is a AAA Credit Rating?

AAA is the highest possible rating that may be assigned to an issuer’s bonds by any of the major credit-rating agencies. AAA-rated bonds have a high degree of creditworthiness because their issuers are easily able to meet financial commitments and have the lowest risk of default.

Rating agencies Standard & Poor’s (S&P) and Fitch Ratings use the letters “AAA” to identify bonds with the highest credit quality, while Moody’s uses a slightly different “Aaa” to signify a bond’s top-tier credit rating.

Key Takeaways

  • The highest possible rating that a bond may achieve is AAA, which is only bestowed upon those bonds that exhibit the highest levels of creditworthiness.
  • This AAA rating is used by Fitch Ratings and Standard & Poor’s, while Moody’s uses the similar “Aaa” lettering.
  • Bonds that receive AAA ratings are viewed as the least likely to default. 
  • Issuers of AAA-rated bonds generally have no trouble finding investors, although the yield offered on these bonds is lower than other tiers because of the high credit rating.

Understanding AAA

Since AAA-rated bonds are perceived to have the lowest risk of default, these instruments tend to offer investors the lowest yields among bonds with similar maturity dates (lower risk = lower return). The term “default” refers to a bond issuer failing to fulfill its obligations, namely failing to make semiannual interest payments or repay the principal amount when due.

AAA ratings are given to government debt and companies’ corporate bonds. The global credit crisis of 2008 resulted in a number of companies losing their AAA rating, most notably General Electric (GE). As of September 2022, only two companies held the AAA rating outright: Microsoft (MSFT) and Johnson & Johnson (JNJ). Apple (AAPL) is split, with a Aaa rating by Moody’s and a AA+ (one notch below AAA) from S&P.

Even the United States suffered a ratings cut by S&P, to AA+ in 2012—losing its vaunted AAA status due to political infighting over raising the debt ceiling. Moody’s and Fitch maintained the U.S. at Aaa and AAA ratings, respectively.

Rather than restricting their fixed-income exposure to AAA-rated bonds, investors should consider balancing those investments with higher income-producing bonds, such as high-yield corporates.

Types of AAA Bonds

Municipal

Municipal bonds can be issued as either revenue bonds or general obligation bonds—with each type relying on different sources of income.

Revenue bonds, for example, are paid using fees and other specific income-generating sources, like city pools and sporting venues. On the other hand, general obligation bonds are backed by the issuer’s ability to raise capital through levying taxes. Pointedly: State bonds rely on state income taxes, while local school districts depend on property taxes.

Secured and Unsecured

Issuers can sell both secured and unsecured bonds. Each type of bond carries with it a different risk profile.

A secured bond means that a specific asset is pledged as collateral for the bond, and the creditor has a claim on the asset if the issuer defaults. Secured bonds may be collateralized with tangible items such as equipment, machinery, or real estate. Secured collateralized offerings may have a higher credit rating than unsecured bonds sold by the same issuer.

Conversely, unsecured bonds are simply backed by the issuer’s promise to pay. Therefore, the credit rating of such instruments relies heavily on the issuer’s income sources and business outlook.

Benefits of a AAA Rating

A high credit rating lowers the cost of borrowing for the issuer (or borrower). Therefore, it stands to reason that companies with high ratings are better positioned to borrow large sums of money than fixed-income instruments with lesser credit ratings. And a low cost of borrowing affords firms a substantial competitive advantage by letting them easily access credit to grow their businesses.

For example, a business may use the incoming funds from a new bond issue to launch a new product line, set up shop in a new location, or acquire a competitor. All of these initiatives can help a company increase its market share and thrive over the long haul.

Why is a credit rating so important?

The level of credit rating that an issuer receives has significant implications on the cost of borrowing in the open market. The better the credit rating—with AAA being the best—the lower the cost to borrow, and vice versa.

For investors, you’ll need to balance the risk you’re willing to take against the yield you’re seeking.

Who decides what credit rating a debt issuer receives?

There are three major credit rating agencies: Standard & Poor’s (S&P), Moody’s, and Fitch. They assess a debt issuer’s creditworthiness and ability to pay interest and principal on bonds based on multiple factors, such as the company’s cash flow, amount of other outstanding debt, and the business outlook for the issuer, to name just a few criteria.

What does the AAA credit rating mean?

The AAA credit rating is only given to the most creditworthy debt issuers and allows investors to gauge the amount of risk in their fixed-income portfolio. Conservative investors will typically sacrifice return or yield to own the highest credit rating issues available.

The Bottom Line

Credit ratings are assigned to debt issues and bonds by the three major debt-rating agencies: S&P, Moody’s, and Fitch. Their credit ratings have a strong influence on the cost of borrowing for the issuer. The better the credit rating, the lower the cost to borrow.

AAA/Aaa ratings are the highest ratings issued by the credit-rating agencies and likely result in the lowest borrowing costs or yields. Investors seeking a better return should look down the credit-ratings scale for bond issuers with lower ratings and higher yields.

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