Accounting Rate of Return (ARR), Formula, Assumptions, Advantages, Disadvantages

The Accounting Rate of Return (ARR), also known as the Average Rate of Return or Return on Investment (ROI) method, is a capital budgeting technique that evaluates investment proposals based on accounting profits rather than cash flows. It calculates the average annual accounting profit generated by a project as a percentage of the average investment made.

The formula is: ARR = (Average Annual Profit / Average Investment) × 100.

The decision rule is to accept the project if ARR exceeds a predetermined target rate (hurdle rate), and reject otherwise. ARR is simple to compute and uses readily available financial statement data (profits, book values). However, it has major limitations: it ignores the time value of money, uses arbitrary accounting profits (subject to depreciation methods), and disregards cash flow timing. Consequently, ARR is considered inferior to discounted cash flow methods like NPV and IRR, though it remains popular in some organizations for performance evaluation and preliminary screening.

Formula of Accounting Rate of Return (ARR):

ARR =  Average Annual Profit​ / Average Investment  ×100

Assumptions of Accounting Rate of Return (ARR):

1. Profit is Measured Accurately

ARR assumes that accounting profit is measured correctly and consistently. It considers that all revenues and expenses are properly recorded as per accounting principles. The method depends on profit after depreciation and taxes, so any error in calculation can affect the result. It also assumes that accounting policies remain stable over time. However, in real situations, profit may vary due to changes in methods or estimates, which can reduce the reliability of ARR as a decision making tool.

2. Constant Earnings Over Time

ARR assumes that the project will generate stable and uniform profits throughout its life. It simplifies calculation by taking average annual profit, ignoring fluctuations in income. In reality, profits may increase or decrease due to market conditions, demand changes, or operational issues. This assumption may not always be true, especially for long term projects. Because of this, ARR may not reflect the actual performance of a project over time.

3. No Consideration of Time Value of Money

ARR assumes that the value of money remains the same over time. It treats current and future profits equally without discounting them. This means it ignores the concept that money today is more valuable than money in the future. This assumption simplifies calculation but reduces accuracy. In practical situations, inflation and interest rates affect value, so ignoring time value can lead to incorrect investment decisions.

4. Investment Remains Stable

ARR assumes that the amount of investment remains constant or is averaged over the project’s life. It uses average investment for calculation, assuming no major changes in capital employed. In real life, investment may vary due to additional capital requirements or changes in working capital. This assumption simplifies the method but may not represent actual investment patterns, affecting the correctness of results.

5. Depreciation is Properly Accounted

ARR assumes that depreciation is correctly calculated and deducted from profits. It considers that depreciation methods are applied consistently over the project’s life. Since depreciation affects accounting profit, any variation in method can change ARR results. This assumption may not always hold true, as companies may use different depreciation methods. Therefore, it can influence the reliability of ARR in comparing different projects.

Advantages of Accounting Rate of Return (ARR):

1. Simple to Calculate and Understand

ARR is one of the simplest capital budgeting techniques. It uses basic accounting data (profit and investment figures) readily available from financial statements. The formula—Average Annual Profit divided by Average Investment—requires only arithmetic, not complex discounting. Managers without specialized finance training can easily compute and interpret ARR. A higher percentage simply means better profitability. This simplicity saves time and resources, especially for small firms or preliminary project screening where detailed discounted cash flow analysis may be unnecessary.

2. Uses Readily Available Accounting Data

ARR relies on accounting profits and book values, which are already recorded in a firm’s financial statements. Unlike cash flow estimates, which require separate forecasting, profit figures are familiar to accountants and managers. This makes ARR convenient for organizations that already track performance using accounting metrics like Return on Capital Employed (ROCE). No additional effort is needed to estimate cash flows or discount rates, reducing the cost and complexity of evaluation.

3. Considers Entire Project Life

Unlike the payback period method, which ignores cash flows occurring after the recovery date, ARR considers profits over the entire useful life of the project. It includes all years’ earnings, giving a comprehensive view of long-term profitability. A project that generates low profits initially but high profits later is fairly evaluated. This prevents rejecting potentially valuable projects simply because they take longer to recover the initial investment.

4. Aligns with Performance Measurement Metrics

Many firms evaluate divisional or managerial performance using accounting-based ratios such as Return on Investment (ROI) or Return on Capital Employed (ROCE). ARR uses the same logic, making it consistent with internal performance appraisal systems. Managers are more likely to accept projects that will improve their reported accounting returns. This alignment reduces conflict between investment decisions and subsequent performance evaluation, promoting goal congruence within the organization.

5. Focuses on Accounting Profitability

Some stakeholders, including creditors and analysts, focus on accounting profits rather than cash flows. ARR provides a measure of how a project contributes to reported earnings, which affects financial ratios, borrowing covenants, and tax liabilities. Projects that generate strong accounting profits may improve the firm’s creditworthiness and market perception. For businesses where earnings per share (EPS) matters significantly, ARR offers a relevant perspective beyond pure cash-based metrics.

6. Useful for Preliminary Screening

Before committing resources to a detailed discounted cash flow analysis, firms can use ARR as a quick screening tool. Projects with ARR far below the company’s minimum acceptable rate can be rejected immediately without further evaluation. This saves time, effort, and analysis costs. Only proposals that pass the ARR hurdle proceed to more rigorous methods like NPV or IRR. Thus, ARR serves as an efficient filter in the early stages of capital budgeting.

7. No Need to Estimate Discount Rate

ARR does not require a discount rate (cost of capital), which is often difficult to estimate accurately, especially for private firms or risky projects. Determining the appropriate risk-adjusted rate involves estimating the cost of equity, cost of debt, and beta—complex tasks subject to error. By avoiding discounting entirely, ARR eliminates this source of uncertainty and debate. For firms lacking confidence in their cost of capital estimates, ARR offers a simpler alternative.

8. Facilitates Comparison with Industry Averages

Industry benchmarks for accounting returns (e.g., average ROCE of 15%) are widely available from trade associations, financial databases, and annual reports. ARR allows a firm to compare its project’s profitability directly against these industry standards. A project with ARR significantly above the industry average is likely value-adding. This external reference point helps validate investment decisions and provides a reality check against competitors’ performance.

Disadvantages of Accounting Rate of Return (ARR):

1. Ignores Time Value of Money

ARR treats profits earned in the first year as equally valuable as profits earned in the tenth year. It does not discount future cash flows or profits to their present value, violating a fundamental principle of financial management—that a rupee today is worth more than a rupee tomorrow. A project that generates high profits only in later years is evaluated the same as one generating the same total profit earlier. This flaw can lead to incorrect decisions, as projects with delayed returns are riskier and less valuable. Discounted methods like NPV and IRR correctly adjust for timing, making ARR obsolete for serious investment analysis.

2. Uses Accounting Profits Instead of Cash Flows

ARR relies on accounting profits, which include non-cash charges like depreciation, amortization, and provisions. These are subjective figures influenced by management’s choice of depreciation method (straight-line vs. written down value), inventory valuation (FIFO vs. LIFO), and accrual policies. Two identical projects can show different ARR simply due to different accounting treatments. In contrast, cash flows are objective and represent actual money available for reinvestment or distribution. Since investment decisions ultimately depend on cash generation ability, using accounting profits makes ARR a misleading and unreliable evaluation tool.

3. No Clear Accept/Reject Decision Rule

Unlike NPV (accept if positive) or IRR (accept if above cost of capital), ARR lacks a theoretically sound benchmark. The decision rule—accept if ARR exceeds a target rate—begs the question: what should the target rate be? There is no market-derived standard comparable to the cost of capital. Firms often set arbitrary targets (e.g., 15%) based on past performance or industry averages, but these have no theoretical justification. Different target rates can lead to different decisions for the same project. This ambiguity reduces ARR’s usefulness as a rigorous capital budgeting criterion.

4. Sensitive to Depreciation Methods

The calculation of average annual profit depends heavily on how depreciation is charged. Using straight-line depreciation produces higher profits in early years and lower profits later, while written-down value (accelerated) depreciation does the opposite. Consequently, the same project can show a high ARR under one depreciation method and a low ARR under another. This manipulation potential allows managers to present projects favorably by choosing convenient accounting policies. Since depreciation is a non-cash allocation, it should not influence investment decisions, yet ARR makes it a critical factor—a serious methodological flaw.

5. Ignores Project Risk

ARR treats all projects as equally risky, regardless of their cash flow uncertainty, industry, or economic sensitivity. A safe project (e.g., replacing a machine with guaranteed savings) and a risky project (e.g., launching a new product in a volatile market) are evaluated using the same target rate. In reality, riskier projects require higher expected returns to compensate investors. Discounted methods adjust for risk by using higher discount rates. ARR provides no mechanism for risk adjustment, potentially leading a firm to accept excessively risky projects or reject safe, valuable ones.

6. Not a True Measure of Shareholder Wealth Creation

ARR measures average accounting profitability, not the actual increase in shareholder wealth. A project can show a high ARR while having a negative NPV, meaning it destroys value. This happens because ARR ignores the cost of capital and timing. For example, a project requiring a huge upfront investment with modest later profits might have positive ARR but fail to earn more than the opportunity cost of funds. Since the ultimate goal of financial management is wealth maximization (measured by NPV), ARR is an inappropriate primary decision criterion.

7. Biased Against Long-Term Projects

ARR’s averaging process penalizes projects that require large initial investments but generate returns only after a long gestation period. Such projects show low average profits in early years (or losses), pulling down the overall average, even if they become highly profitable later. Meanwhile, short-term projects with quick returns appear attractive. This bias discourages investment in research and development, infrastructure, or market development projects that take time to mature. Discounted methods fairly evaluate such projects by considering the timing and magnitude of all cash flows.

8. Does Not Consider Project Scale

ARR is a percentage measure and ignores the absolute size (scale) of the investment. A small project requiring ₹1 lakh with ARR of 25% appears better than a large project requiring ₹1 crore with ARR of 20%. However, the large project generates ₹20 lakhs of average profit compared to only ₹25,000 from the small project—a vastly greater absolute wealth increase. Under capital rationing, percentage measures can be useful, but for standalone accept/reject decisions, absolute wealth creation (NPV) matters more. ARR’s focus on percentages can mislead managers into favoring trivial but high-return projects over substantial value-creating ones.