What is Accounting Rate of Return?

What is Accounting Rate of Return? A Detailed Explanation

The Accounting Rate of Return (ARR) is a financial metric used to assess the profitability of an investment based on its expected return relative to its initial cost. The ARR is calculated by dividing the average annual profit by the initial investment.

The ARR is a simple yet useful tool in evaluating the potential return on investment (ROI) for businesses and investors. While it does not consider the time value of money—unlike other methods such as Net Present Value (NPV)—ARR provides a quick and easy way to evaluate the general viability of an investment or project.

What is the Accounting Rate of Return?

The Accounting Rate of Return (ARR) measures the profitability of an investment by calculating the average annual profit as a percentage of the initial investment. In essence, it allows investors and businesses to gauge how much return they can expect annually, relative to the amount of money they have put into the investment. This metric helps investors make decisions about whether or not to proceed with a particular investment or project.

The ARR formula is:

ARR = Average Annual Profit / Initial Investment

Where:

Average Annual Profit is the total profit over the life of the investment, divided by the number of years the investment is expected to last.
Initial Investment is the upfront capital required to make the investment.

While this method provides a straightforward calculation, it has limitations. The ARR does not account for the time value of money, which means it treats future profits as being of the same value as present profits. This can be a significant drawback for long-term projects or those requiring large capital investments.

How is the Accounting Rate of Return Calculated?

Calculating the Accounting Rate of Return involves several steps. Here’s a detailed breakdown of how to arrive at the ARR:

Determine the Initial Investment: The first step is to figure out how much capital is required for the project or investment. This includes the cost of acquiring the asset, installation costs, and any other initial expenditures necessary to get the project up and running.
Estimate the Annual Revenue or Profit: Next, determine the revenue or profit generated by the investment on an annual basis. This could be calculated as:
- Revenue: The total income generated by the investment, such as sales or product income.
- Profit: Revenue minus all operational expenses (maintenance, staff costs, etc.).
Calculate Average Annual Profit: The average annual profit is determined by dividing the total profit over the entire investment period by the number of years the investment is expected to last.
Apply the ARR Formula: Finally, use the ARR formula to calculate the rate of return by dividing the average annual profit by the initial investment.

ARR Formula Breakdown

To calculate the Accounting Rate of Return, use the following formula:

ARR = Average Annual Profit / Initial Investment

– Average Annual Profit = Total Profit over the Investment Period / Number of Years
– Initial Investment = Total Upfront Capital Invested

Examples of Accounting Rate of Return

Example #1: Kings & Queens New Project

Kings & Queens has started a new project where they expect incremental annual revenue of $50,000 for the next ten years. The estimated incremental cost to earn that revenue is $20,000, and the initial investment required is $200,000.

Solution:

Annual Revenue = $50,000
Annual Expenses = $20,000
Net Profit = $50,000 – $20,000 = $30,000 per year
Initial Investment = $200,000

Now, we can calculate the ARR using the formula:

ARR = Average Annual Profit / Initial Investment

ARR = 30,000 / 200,000 = 0.15 or 15%

The Accounting Rate of Return for this project is 15%. This means that the business can expect to earn 15% of the initial investment in profit every year.

Example #2: AMC Company New Machinery Investment

AMC Company is considering a new investment in machinery. The machine will cost $5,200,000 and is expected to increase annual revenue by $900,000. However, there will be annual maintenance costs of $200,000, and specialized staff will cost $300,000 annually. The machine has an expected life of 15 years and a salvage value of $500,000.

Solution:

Annual Revenue = $900,000
Annual Maintenance Costs = $200,000
Specialized Staff Costs = $300,000
Initial Investment = $5,200,000
Salvage Value = $500,000

First, calculate the annual depreciation:

Depreciation = (Initial Investment - Salvage Value) / Life of Asset

Depreciation = ($5,200,000 – $500,000) / 15 = $313,333 per year

Now, calculate the average annual expenses:

Annual Expenses = $200,000 + $300,000 + $313,333 = $813,333

Next, calculate the average annual profit:

Average Annual Profit = Annual Revenue - Annual Expenses

Average Annual Profit = $900,000 – $813,333 = $86,667

Now, calculate the ARR:

ARR = Average Annual Profit / Initial Investment

ARR = $86,667 / $5,200,000 = 0.0167 or 1.67%

The Accounting Rate of Return for this machinery investment is 1.67%. This suggests that the investment may not generate a high return relative to its cost.

Example #3: J-phone New Foreign Office

J-phone is planning to open a new office in a foreign country. The initial investment required for this project is $2,000,000. The following estimated costs and revenues are provided:

Years 0-5: Annual Revenue = $350,000, Maintenance = $50,000, Depreciation = $300,000
Years 6-10: Annual Revenue = $450,000, Maintenance = $75,000, Depreciation = $200,000

Solution:

Average Annual Revenue: For Years 0-5, the average revenue is $350,000; for Years 6-10, it is $450,000. The average revenue over 10 years is ($350,000 + $450,000) / 2 = $400,000.
Average Annual Expenses: For Years 0-5, total maintenance and depreciation are $50,000 + $300,000 = $350,000. For Years 6-10, total maintenance and depreciation are $75,000 + $200,000 = $275,000. The average annual expenses are ($350,000 + $275,000) / 2 = $312,500.
Average Annual Profit: Average revenue of $400,000 minus average expenses of $312,500 gives an average annual profit of $87,500.

Now, calculate the ARR:

ARR = Average Annual Profit / Initial Investment

ARR = $87,500 / $2,000,000 = 0.0438 or 4.38%

The Accounting Rate of Return for the new foreign office project is 4.38%.

ARR Calculator

For quick calculations, you can use the following formula:

ARR = Average Annual Profit / Initial Investment

Simply input the average annual profit and the initial investment to get the accounting rate of return.

Relevance and Uses of Accounting Rate of Return

The Accounting Rate of Return (ARR) is widely used in capital budgeting to assess potential investments or projects. It helps businesses compare multiple projects when only a few can be selected. However, it should not be the sole basis for decision-making, as other methods like Net Present Value (NPV) and Profitability Index consider more complex factors such as the time value of money and risk.

Management may use the ARR as a guideline: if the ARR is greater than their required return threshold, the project may be accepted. However, if it falls below the required rate, the project might be rejected.

In conclusion, the Accounting Rate of Return (ARR) provides a simple and quick method for evaluating the profitability of an investment. Although it lacks the depth of more advanced financial metrics, it serves as a useful tool in the decision-making process, particularly for projects with relatively short timelines and predictable cash flows.

Frequently Asked Questions (FAQs)

What is the Accounting Rate of Return (ARR)?

The Accounting Rate of Return (ARR) is a financial metric that measures the profitability of an investment by comparing the average annual profit to the initial investment. It helps businesses and investors evaluate potential returns on investments.

How do you calculate the Accounting Rate of Return (ARR)?

To calculate the ARR, divide the average annual profit by the initial investment. The formula is: ARR = Average Annual Profit / Initial Investment. Average annual profit is the total profit over the life of the investment divided by the number of years.

What is the difference between ARR and other investment evaluation methods like NPV?

ARR is a simple method that does not account for the time value of money, whereas methods like Net Present Value (NPV) and Internal Rate of Return (IRR) consider the time value of money, which makes them more suitable for evaluating long-term investments.

Is ARR useful for long-term projects?

ARR is typically more useful for short-term projects or investments with steady cash flows. For long-term investments, methods like NPV or IRR are generally preferred, as they account for the time value of money and more complex financial dynamics.

What are the limitations of using the Accounting Rate of Return (ARR)?

ARR doesn’t consider the time value of money, and it may lead to inaccurate evaluations of projects that span long durations or have fluctuating cash flows. It also doesn’t account for the risk of investment, making it less reliable on its own for decision-making.

Can the Accounting Rate of Return (ARR) be used for all types of investments?

ARR is commonly used for evaluating investments like equipment purchases, new projects, or business expansions. However, it may not be the best method for evaluating highly volatile or risky investments, as it does not account for risk or cash flow timing.

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