Inaugurated by IN-SPACe
ISRO Registered Space Tutor
S7-SA7-0635
What is Accounting Rate of Return Calculation?
Grade Level:
Class 12
AI/ML, Physics, Biotechnology, FinTech, EVs, Space Technology, Climate Science, Blockchain, Medicine, Engineering, Law, Economics
Definition
What is it?
The Accounting Rate of Return (ARR) is a financial tool used to evaluate the profitability of an investment. It calculates the average annual profit generated by an investment as a percentage of the initial investment cost. This helps businesses decide if a project is worth pursuing.
Simple Example
Quick Example
Imagine you buy a new 'chaat' stall for Rs. 10,000. Over a year, after paying for all ingredients and rent, you earn an average profit of Rs. 2,000. Your ARR would be (Rs. 2,000 / Rs. 10,000) * 100 = 20%. This 20% tells you how much profit you made compared to what you invested.
Worked Example
Step-by-Step
Let's say a company wants to buy a new delivery scooter for Rs. 50,000. This scooter is expected to generate an average annual profit of Rs. 12,000 for 5 years. There is no scrap value.
STEP 1: Identify the Initial Investment Cost.
Initial Investment = Rs. 50,000
---
STEP 2: Identify the Average Annual Profit.
Average Annual Profit = Rs. 12,000
---
STEP 3: Apply the ARR Formula.
ARR = (Average Annual Profit / Initial Investment) * 100
---
STEP 4: Substitute the values into the formula.
ARR = (Rs. 12,000 / Rs. 50,000) * 100
---
STEP 5: Calculate the result.
ARR = 0.24 * 100
---
STEP 6: State the final ARR.
ARR = 24%
So, the Accounting Rate of Return for the scooter is 24%.
Why It Matters
Understanding ARR is crucial for anyone making financial decisions, from a small business owner to a big tech company. Financial analysts in FinTech use ARR to compare investment options, while engineers evaluating a new EV manufacturing plant use it to justify project costs. Even in Medicine, hospital administrators use similar calculations to decide on purchasing new, expensive equipment.
Common Mistakes
MISTAKE: Forgetting to annualize profit or using total profit instead of average annual profit. | CORRECTION: Always use the *average annual* profit in the numerator. If you have total profit over several years, divide it by the number of years first.
MISTAKE: Not expressing the final answer as a percentage. | CORRECTION: The ARR is always a percentage. Remember to multiply the ratio by 100 at the end.
MISTAKE: Confusing ARR with other investment metrics like Payback Period or Net Present Value. | CORRECTION: ARR focuses on profitability as a percentage, unlike Payback Period which focuses on time to recover investment, or NPV which considers the time value of money.
Practice Questions
Try It Yourself
QUESTION: A small 'kirana' store owner invests Rs. 25,000 in a new refrigerator. It generates an average annual profit of Rs. 5,000. What is the ARR? | ANSWER: 20%
QUESTION: A startup invests Rs. 2,00,000 in developing a new mobile app. The app is expected to generate a total profit of Rs. 75,000 over 3 years. Calculate the ARR. | ANSWER: 12.5%
QUESTION: A factory buys a new machine for Rs. 10,00,000. It expects to generate Rs. 2,50,000 profit in Year 1, Rs. 3,00,000 in Year 2, and Rs. 3,50,000 in Year 3. What is the ARR for this 3-year period? | ANSWER: 30%
MCQ
Quick Quiz
Which of the following does the Accounting Rate of Return primarily measure?
The time it takes to recover an investment
The profitability of an investment as a percentage
The total cash flow generated by an investment
The market value of a company's shares
The Correct Answer Is:
B
ARR specifically measures the average annual profit relative to the initial investment, expressed as a percentage, indicating profitability. Options A, C, and D describe other financial metrics.
Real World Connection
In the Real World
When a company like Zomato or Swiggy decides to invest in a new fleet of delivery bikes, they use calculations like ARR. They estimate the cost of the bikes (initial investment) and the average profit each bike will help them earn annually (from more deliveries). This helps them decide if buying more bikes is a profitable idea for their business.
Key Vocabulary
Key Terms
INVESTMENT: Money spent to buy an asset or project with the expectation of future returns | PROFIT: The money left after all expenses are paid | AVERAGE ANNUAL PROFIT: The total profit over a period divided by the number of years in that period | PERCENTAGE: A way to express a number as a fraction of 100 | INITIAL INVESTMENT: The original cost of the asset or project.
What's Next
What to Learn Next
Now that you understand ARR, you should explore the 'Payback Period' and 'Net Present Value (NPV)'. These are other crucial investment appraisal techniques that consider different aspects like time to recover investment and the time value of money, giving you a more complete picture for financial decisions.
