The Accounting Rate of Return is Calculated as

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Accounting Rate of Return (ARR) Calculator

Average Annual Profit:
Average Investment Value:
Accounting Rate of Return (ARR):
*Calculated using the Average Investment Method
function calculateARR() { // Get input values var initialInvestment = parseFloat(document.getElementById('initialInvestment').value); var scrapValue = parseFloat(document.getElementById('scrapValue').value); var totalNetIncome = parseFloat(document.getElementById('totalNetIncome').value); var usefulLife = parseFloat(document.getElementById('usefulLife').value); // Handle Scrap Value being empty if (isNaN(scrapValue)) { scrapValue = 0; } // Validation if (isNaN(initialInvestment) || initialInvestment <= 0) { alert("Please enter a valid Initial Investment amount."); return; } if (isNaN(totalNetIncome)) { alert("Please enter a valid Total Net Income."); return; } if (isNaN(usefulLife) || usefulLife <= 0) { alert("Please enter a valid Useful Life in years."); return; } // Logic: // 1. Calculate Average Annual Profit var avgAnnualProfit = totalNetIncome / usefulLife; // 2. Calculate Average Investment // Formula: (Initial Investment + Scrap Value) / 2 var avgInvestment = (initialInvestment + scrapValue) / 2; // 3. Calculate ARR // Formula: (Average Annual Profit / Average Investment) * 100 var arr = (avgAnnualProfit / avgInvestment) * 100; // Display Results document.getElementById('avgProfitResult').innerHTML = "$" + avgAnnualProfit.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById('avgInvestResult').innerHTML = "$" + avgInvestment.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById('arrResult').innerHTML = arr.toFixed(2) + "%"; document.getElementById('result').style.display = "block"; }

Understanding How the Accounting Rate of Return is Calculated As

The Accounting Rate of Return (ARR) is a financial ratio used in capital budgeting. It reflects the percentage return expected on a new investment or asset compared to the initial capital cost. Unlike other valuation methods like NPV (Net Present Value), ARR focuses on the profitability of the investment based on accounting information rather than cash flow.

Generally, the accounting rate of return is calculated as the average annual accounting profit divided by the average investment, expressed as a percentage. This metric allows managers to evaluate the potential profitability of an asset over its useful life.

The ARR Formula

While there are slight variations in the formula depending on whether you use the initial investment or the average investment, the most common standard method used by financial analysts is the Average Investment Method.

Formula:
ARR = (Average Annual Profit / Average Investment) × 100

To break this down further:

  • Average Annual Profit: Total net income expected over the asset's life divided by the number of years (useful life).
  • Average Investment: (Initial Book Value + Scrap/Salvage Value) / 2.

Example Calculation

Let's look at a practical example. Suppose a company plans to purchase a machine for $100,000.

  • Initial Investment: $100,000
  • Useful Life: 5 Years
  • Scrap Value: $10,000
  • Total Estimated Profit (Net Income): $50,000 over 5 years

Step 1: Calculate Average Annual Profit
$50,000 / 5 Years = $10,000 per year.

Step 2: Calculate Average Investment
($100,000 + $10,000) / 2 = $55,000.

Step 3: Calculate ARR
($10,000 / $55,000) × 100 = 18.18%.

Why is ARR Important?

Knowing how the accounting rate of return is calculated as a percentage helps businesses make quick decisions. If the calculated ARR is higher than the company's required minimum rate of return, the project is generally accepted. It is particularly useful for comparing multiple projects to see which one offers the best return on the book value of the investment.

Limitations of ARR

While simple to use, the ARR method has limitations. It does not account for the time value of money, meaning a dollar earned today is treated the same as a dollar earned five years from now. Additionally, it relies on accounting profits (which include non-cash expenses like depreciation) rather than actual cash flows.

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