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Describe the accrual accounting rate-of-return method. What are its main strengths and weaknesses?

Short Answer

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The accrual accounting rate-of-return (ARR) method is a financial ratio that calculates the annual average percentage return on investment based on accrual-based accounting profit and initial investment cost. Its strengths include simplicity, considering the entire project life, and using accounting profit. However, its weaknesses are ignoring the time value of money, subjective rate setting, and reliance on accrual-based financial statements.

Step by step solution

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1. Define Accrual Accounting Rate-of-Return Method

The accrual accounting rate-of-return (ARR) method is a financial ratio used to estimate the profitability of an investment. This method calculates the annual average percentage return on investment based on the cash inflows and outflows associated with the project. We will use this concept to assess the attractiveness of an investment over its useful life.
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2. Calculate ARR

To calculate the accounting rate of return, we need two key inputs: the average annual accounting profit and the initial investment cost. The formula for ARR is: \[ ARR = \frac{Average\ Annual\ Accounting\ Profit}{Initial\ Investment} \times 100\] The average annual accounting profit is obtained from the accrual-based financial statements while the initial investment is the cost of acquiring the project or asset.
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3. Interpretation of ARR

Once the ARR is calculated, it is often compared to a predetermined target rate of return or a company's internal benchmark. A higher ARR value indicates a more attractive investment. If the ARR is equal to or greater than the target rate of return, the proposed investment may be considered worthwhile.
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4. Strengths of ARR Method

- Simplicity: The ARR method is relatively easy to understand and perform, making it a popular choice for quick financial decision-making. - Considers entire project life: ARR considers cash flows over the entire life of the project, reflecting its long-term profitability. - Uses accounting profit: This implies that it takes into account all expenses, including depreciation and taxation.
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5. Weaknesses of ARR Method

- Ignores time value of money: The ARR does not recognize the diminishing value of money over time, which could result in inaccurate profitability estimations. - Subjective rate setting: Determining an appropriate target rate of return can be subjective and potentially biased. - Accrual-based profit: The ARR method relies on accrual-based financial statements, which might not give a true picture of the cash inflows and outflows associated with the investment. In conclusion, the accrual accounting rate-of-return method is a financial ratio used to evaluate the profitability of an investment based on the average accounting profit and initial investment cost. While its simplicity and wide use make it popular, its failure to account for the time value of money and subjectivity in target rate setting can limit its accuracy and effectiveness.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Investment Profitability
When considering any investment, understanding its profitability is key. Investors want to know how much they stand to gain from putting their money into a project or asset. The accrual accounting rate-of-return (ARR) method is one tool that helps gauge this profitability. By providing a percentage return based on average annual profits and initial costs, it gives an overview of the earnings relative to the initial amount spent.
The simplicity of the ARR makes it attractive for quick assessments. However, it doesn’t show the complete picture since it doesn't consider when profits are received. This can be crucial because earlier returns may be more valuable due to inflation and investment opportunities elsewhere. Still, for a straightforward understanding of potential gains, ARR remains helpful.
Financial Decision-Making
Financial decision-making involves evaluating all possible options regarding funding, investments, and resource allocation to arrive at the most lucrative choice. The ARR method aids decision-making by giving businesses a clear profitability indicator. Companies can decide whether an investment meets their required return threshold by comparing the ARR with their internal benchmarks.
Simplicity is a significant strength here, allowing managers with limited financial expertise to grasp results easily. Additionally, because it reflects the annual performance throughout the project's duration, decision-makers feel more informed about the entire lifecycle's profitability. However, neglecting the time value of money could mislead those relying solely on ARR for big decisions, so it’s advisable to consider additional financial metrics as well.
Financial Ratios
Financial ratios like the ARR provide standardized measures to compare different potential investments. These ratios transform various pieces of financial data into actionable insights, assisting investors and businesses in analyzing their portfolios.
The ARR method simplifies the complex data derived from financial statements by highlighting the key figures: average annual accounting profit and initial investment. This creates a straightforward ratio, easily interpreted and compared across different projects or periods.
  • User-friendly: Financial ratios are often intuitive and easy for non-experts to understand.
  • Comparison tool: Ratios enable the evaluation of diverse projects on a common scale.
While context is essential for interpreting these figures correctly, financial ratios like ARR are indispensable analytical tools.
Accounting Profit
Accounting profit is at the heart of many financial metrics, including the ARR method. It represents the net income overshadowing all operational costs, depreciation, taxes, and other expenditures. Using accounting profit makes the ARR method applicable across various industries for assessing investments.
The inclusion of non-cash elements, like depreciation, provides a comprehensive look at profitability, aligning closely with the long-term view required by investors. However, relying solely on accounting profit might obscure cash flow realities, which are crucial for assessing operational liquidity. As such, while accounting profit offers a broad profitability picture, investors might still need to consider additional cash flow metrics for a holistic analysis.
Time Value of Money
The concept of the time value of money (TVM) is a critical financial principle ignored by the ARR method. TVM acknowledges that receiving money today is more advantageous than receiving the same amount in the future, due to the potential earning capacity.
This idea arises from inflation, opportunity costs, and risk. By ignoring TVM, ARR might overstate an investment’s future profitability, potentially leading companies to make less-than-optimal decisions based solely on ARR.

To counteract this, investors usually complement ARR with tools like Net Present Value (NPV) or Internal Rate of Return (IRR), which factor in TVM. These tools offer more precise profitability analysis, especially for long-term projects. Understanding and considering TVM ensure more accurate and wise financial planning.

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Most popular questions from this chapter

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Laverty Clinic plans to purchase a new centrifuge machine for its New York facility. The machine costs 94,000 dollar and is expected to have a useful life of 6 years, with a terminal disposal value of 9,000 dollar. Savings in cash operating costs are expected to be 24,900 dollar per year. However, additional working capital is needed to keep the machine running efficiently. The working capital must continually be replaced, so an investment of 4,000 dollar needs to be maintained at all times, but this investment is fully recoverable (will be "cashed in") at the end of the useful life. Laverty Clinic's required rate of return is \(12 \%\). Ignore income taxes in your analysis. Assume all cash flows occur at year-end except for initial investment amounts. Laverty Clinic uses straight-line depreciation for its machines. 1\. Calculate net present value. 2\. Calculate internal rate of return. 3\. Calculate accrual accounting rate of return based on net initial investment. 4\. Calculate accrual accounting rate of return based on average investment. 5\. You have the authority to make the purchase decision. Why might you be reluctant to base your decision on the DCF methods?

City Hospital, a nonprofit organization, estimates that it can save 28,000 dollar a year in cash operating costs for the next 10 years if it buys a special-purpose eyetesting machine at a cost of 110,000 dollar. No terminal disposal value is expected. City Hospital's required rate of return is \(14 \%\). Assume all cash flows occur at year-end except for initial investment amounts. City Hospital uses straight-line depreciation. 1\. Calculate the following for the special-purpose eye-testing machine: a. Net present value b. Payback period c. Internal rate of return Accrual accounting rate of return based on net initial investment e. Accrual accounting rate of return based on average investment 2\. What other factors should City Hospital consider in deciding whether to purchase the special-purpose eye-testing machine?

Johnny Buster owns Entertainment World, a place that combines fast food, innovative beverages, and arcade games. Worried about the shifting tastes of younger audiences, Johnny contemplates bringing in new simulators and virtual reality games to maintain customer interest. As part of this overhaul, Johnny is also looking at replacing his old Guitar Hero equipment with a Rock Band Pro machine. The Guitar Hero setup was purchased for 25,200 dollar and has accumulated depreciation of 23,000 dollar, with a current trade-in value of 2,700 dollar.It currently costs Johnny 600 dollar per month in utilities and another 5,000 dollar a year in maintenance to run the Guitar Hero equipment. Johnny feels that the equipment could be kept in service for another 11 years, after which it would have no salvage value. The Rock Band Pro machine is more energy efficient and durable. It would reduce the utilities costs by \(30 \%\) and cut the maintenance cost in half. The Rock Band Pro costs 49,000 dollar and has an expected disposal value of 5,000 at the end of its useful life of 11 years. Johnny charges an entrance fee of 5 dollar per hour for customers to play an unlimited number of games. He does not believe that replacing Guitar Hero with Rock Band Pro will have an impact on this charge or materially change the number of customers who will visit Entertainment World. 1\. Johnny wants to evaluate the Rock Band Pro purchase using capital budgeting techniques. To help him, read through the problem and separate the cash flows into four groups: (1) net initial investment cash flows, (2) cash flow savings from operations, (3) cash flows from terminal disposal of investment, and (4) cash flows not relevant to the capital budgeting problem. 2\. Assuming a tax rate of \(40 \%\), a required rate of return of \(8 \%\), and straight-line depreciation over the remaining useful life of equipment, should Johnny purchase Rock Band Pro?

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