What is Profitability Index (PI)?

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Grade Level:

Class 12

AI/ML, Physics, Biotechnology, FinTech, EVs, Space Technology, Climate Science, Blockchain, Medicine, Engineering, Law, Economics

Definition

What is it?

The Profitability Index (PI), also known as the Benefit-Cost Ratio, is a financial tool used to evaluate how attractive a proposed project is. It measures the present value of future cash inflows (benefits) for every rupee invested (costs). A PI greater than 1 suggests a project is profitable and worth considering.

Simple Example

Quick Example

Imagine you are planning to sell homemade 'ladoos' at a school fair. You spend Rs. 100 on ingredients (cost). You expect to earn Rs. 150 from selling all the ladoos (benefit). Your Profitability Index would be 150/100 = 1.5. Since 1.5 is greater than 1, it's a good idea to sell ladoos!

Worked Example

Step-by-Step

Let's say a company is thinking of buying a new machine. The machine costs Rs. 1,00,000 (Initial Investment). Over its lifetime, it is expected to generate cash inflows with a present value of Rs. 1,20,000. Let's calculate the Profitability Index (PI).
---Step 1: Identify the Present Value of Future Cash Inflows. This is Rs. 1,20,000.
---Step 2: Identify the Initial Investment (or Present Value of Cash Outflows). This is Rs. 1,00,000.
---Step 3: Apply the PI formula: PI = Present Value of Future Cash Inflows / Initial Investment.
---Step 4: Substitute the values: PI = Rs. 1,20,000 / Rs. 1,00,000.
---Step 5: Calculate the result: PI = 1.2.
---Answer: The Profitability Index for this project is 1.2.

Why It Matters

Understanding Profitability Index helps businesses and even governments decide where to invest their money wisely, whether it's for new technology in FinTech, building a new factory for EV production, or funding research in Biotechnology. Future engineers, economists, and even scientists use PI to make smart decisions about projects, ensuring resources are used effectively.

Common Mistakes

MISTAKE: Confusing PI with Net Present Value (NPV). | CORRECTION: PI is a ratio (benefits per rupee invested), while NPV is an absolute value (total profit in rupees). A project can have a positive NPV and a PI greater than 1, but they measure different things.

MISTAKE: Forgetting to use 'Present Value' for cash inflows. | CORRECTION: Money today is worth more than money tomorrow. Always convert future cash inflows to their present value before calculating PI to account for the time value of money.

MISTAKE: Accepting a project with a PI less than 1. | CORRECTION: A PI less than 1 means the present value of benefits is less than the cost, indicating the project will likely result in a loss. Only consider projects with PI greater than 1.

Practice Questions

Try It Yourself

QUESTION: A startup is considering a new app development project that requires an initial investment of Rs. 50,000. The expected present value of future earnings from the app is Rs. 65,000. Calculate the Profitability Index. | ANSWER: PI = 65,000 / 50,000 = 1.3

QUESTION: A solar panel installation costs Rs. 2,00,000. It is estimated to save Rs. 30,000 per year for 10 years. If the present value of these savings (cash inflows) over 10 years is Rs. 2,50,000, what is the Profitability Index? Is this a good investment? | ANSWER: PI = 2,50,000 / 2,00,000 = 1.25. Yes, it is a good investment because PI > 1.

QUESTION: A company has two projects: Project A requires Rs. 80,000 initial investment and has a present value of cash inflows of Rs. 1,04,000. Project B requires Rs. 1,20,000 initial investment and has a present value of cash inflows of Rs. 1,50,000. Which project has a higher Profitability Index? | ANSWER: Project A PI = 1,04,000 / 80,000 = 1.3. Project B PI = 1,50,000 / 1,20,000 = 1.25. Project A has a higher Profitability Index.

MCQ

Quick Quiz

What does a Profitability Index (PI) of 0.8 indicate about a project?

The project is highly profitable.

The project's benefits are less than its costs.

The project's benefits are equal to its costs.

The project will break even quickly.

The Correct Answer Is:

A PI of 0.8 means that for every rupee invested, the project generates only 80 paise in present value benefits (0.8 < 1). This indicates that the benefits are less than the costs, making it an unattractive project.

Real World Connection

In the Real World

Government bodies like NITI Aayog often use similar financial metrics when evaluating large infrastructure projects, such as building new highways or smart cities. They assess if the long-term benefits to the public and economy (like reduced travel time, increased trade) outweigh the huge initial investment, ensuring taxpayers' money is spent on projects with a high 'profitability index' for the nation.

Key Vocabulary

Key Terms

Present Value: The current worth of a future sum of money or stream of cash flows given a specified rate of return. | Cash Inflows: Money coming into a business, like sales revenue. | Initial Investment: The total amount of money required to start a project. | Benefit-Cost Ratio: Another name for Profitability Index, showing benefits per unit of cost. | Time Value of Money: The idea that money available at the present time is worth more than the same amount in the future due to its potential earning capacity.

What's Next

What to Learn Next

Now that you understand Profitability Index, you should explore Net Present Value (NPV) and Internal Rate of Return (IRR). These are other important capital budgeting techniques that, along with PI, help businesses make smart investment decisions and are often used together!