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What Is the Profitability Index?


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    Highlights

  • The profitability index (PI) is calculated by dividing the present value of future cash flows by the initial investment, with higher values indicating more attractive projects
  • A PI less than 1
  • 0 means the project won't recoup its costs and should be avoided
  • Businesses use PI to compare and rank investments, especially under capital constraints
  • While PI accounts for the time value of money, it doesn't consider project size, potentially favoring smaller projects over larger ones with higher net present values
Table of Contents

What Is the Profitability Index?

Let me explain the profitability index to you directly. The profitability index, or PI, compares the expected cash flows from a project against its initial costs. You might also hear it called the value investment ratio or profit investment ratio. It essentially shows the relationship between a project's costs and benefits. As someone evaluating investments, I use PI to decide if a project is worth pursuing.

Key Takeaways

Here's what you need to know about PI. It measures how attractive a project or investment is. You calculate it by dividing the present value of future expected cash flows by the initial investment cost. If the PI is higher, that means better expected returns. But if it's less than 1.0, the project isn't worthwhile because the returns won't cover the initial cost.

Calculating the Profitability Index

Calculating PI is straightforward. It's the ratio of the present value of future expected cash flows to the initial investment in the project. A higher PI tells you the project is more attractive. The numerator is the present value of future cash flows, which accounts for the time value of money by discounting future amounts to today's value. Remember, $1 today isn't the same as $1 next year because of earning potential from interest. The denominator is just the initial investment, the upfront cash outlay. Other costs throughout the project get factored into the numerator via discounting, including things like taxes or depreciation.

Interpreting the Profitability Index

When you interpret the PI, it helps you rank projects by quantifying value per investment unit. A PI of 1.0 is the bare minimum; anything below means the present value is less than the initial investment. PI calculations are always positive, so values over 1.0 show that discounted inflows exceed outflows, making the project acceptable. Under 1.0, and you should reject it. I use PI as an appraisal tool for capital outlays, but keep in mind it ignores project size. Larger projects might have lower PIs due to slimmer margins, even if they have higher net present values. Sometimes called the benefit-cost ratio, PI might lead you to pass on high-NPV projects if they don't maximize asset use.

Fast Fact

As the profitability index value goes up, the financial attractiveness of the project increases accordingly.

Example of Profitability Index

Consider this example to see PI in action. Suppose a company is looking at two projects: expanding an existing factory or building a new one. The expansion costs $1 million and generates $200,000 yearly cash flows for 5 years at a 10% discount rate. The new factory costs $2 million with $300,000 yearly cash flows for 5 years, same discount rate.

For the expansion, the present value of cash flows is $200,000 / (1+0.10)^1 + ... + $200,000 / (1+0.10)^5, which comes to $750,319. So PI is $750,319 / $1,000,000 = 0.75.

For the new factory, PV is $300,000 / (1+0.10)^1 + ... + $300,000 / (1+0.10)^5 = $1,125,479. PI is $1,125,479 / $2,000,000 = 0.56.

The expansion has a higher PI, so it's more attractive per unit of investment, but both are under 1.0, so the company might skip them both.

Explain Like I'm Five

Think of the profitability index as a way to see how much money a business can make from an investment. It compares the value of future cash from the project to the upfront costs, discounting future money because it loses value over time. You compare PIs of different ideas to pick the best one. Over 1.0 means you'll get back more than you put in; under 1.0, and it's not worth it.

What Are the Advantages of the PI?

The PI has clear advantages. It factors in the time value of money, lets you compare projects of different lengths, and helps when capital is limited by guiding you to the best choices.

How Do Companies Use the Profitability Index?

Companies use PI to compare potential investments and projects. It's particularly helpful with limited resources, as you can't do everything. Pair it with other metrics to decide what's best.

What Is a Good Profitability Index?

A good PI is generally higher. Over 1.0 means the returns beat the costs, so it's considered good. The highest PI often points to the best option.

The Bottom Line

In summary, the profitability index measures a project's attractiveness by dividing the present value of future cash flows by the initial investment. A PI over 1.0 signals a good investment, with higher values being more appealing.

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