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Instrument MI-02-455 · Finance

Profitability Index Calculator

State the present value of what a project returns and what it costs upfront. The instrument turns the two into one ratio built for ranking projects, not judging one alone.

Instrument MI-02-455
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Type 02 — Corporate Finance SER. 2026-02455

Profitability index (PI)

1.200000

PI = PV(future CF) ⁄ initial investment

The working Every figure verified twice
  1. piIndex = 120000 ⁄ 100000 = 1.200000
Worksheet log
  1. No entries yet — change an input to log a scenario.

How this instrument works

The profitability index divides the present value of everything a project is expected to return by what the project costs to start — PV of future cash flows over initial investment. The shape is deliberate: net present value already computes PV(future cash flows) minus initial investment, so PI is that same subtraction turned into a ratio instead, PI = 1 + NPV ⁄ initial investment. A PI above 1.0 always means a positive NPV; a PI below 1.0 always means a negative one. What changes between the two is the unit — dollars created, or dollars created per dollar spent.

Corporate development teams and CFOs reach for PI specifically when capital is rationed — a fixed budget and more independent, positive-NPV projects than the budget can fund. Sorting those projects by PI and funding down the list until the budget runs out concentrates a scarce dollar where it creates the most value, which raw NPV cannot do on its own, since a large project can show a bigger NPV purely by using more capital. Typical PIs for approved corporate projects cluster narrowly, often 1.05 to 1.4; anything far above that range invites a second look at whether the cash-flow forecast behind it was too optimistic.

The ranking only works cleanly when projects are independent and divisible — funding 60% of one project and 100% of another is assumed to be possible, which real capital budgets rarely allow, since a plant expansion or a new production line is bought whole or not at all. That lumpiness is the classic failure economists call the capital-rationing problem: the highest-PI list does not always match the combination of whole projects that spends a fixed budget for the most total value, so PI ranks candidates but does not replace checking the combinations that actually fit.

PI=PV(future cash flows)initial investmentPI = \frac{PV(\text{future cash flows})}{\text{initial investment}}PI=1+NPVinitial investmentPI = 1 + \frac{NPV}{\text{initial investment}}
PI — profitability index · PV(future cash flows) — future cash the project returns, already discounted to today · initial investment — the day-one outlay · NPV — net present value, PV(future cash flows) minus initial investment.
  • Enter what the project is expected to pay back, discounted to today, in PV of future cash flows, $.
  • Enter the day-one cost in Initial investment, $ — everything spent before the project returns a dollar.
  • Read Profitability index (PI): above 1.0 signals value created, below 1.0 signals value destroyed, exactly 1.0 is breakeven.
  • Rerun the sheet for each project competing for the same budget, then rank the results by PI, highest first.
  • Fund down that ranked list until the budget is spent, then check whether a different whole-project combination uses the remaining capital better.

Worked example — ranking a $100,000 project at PI 1.2

A corp-dev team is screening a $100,000 equipment upgrade whose future cash flows, discounted back to today, are worth $120,000. Entering those two figures — PV of future cash flows, $ at 120,000 and Initial investment, $ at 100,000 — gives Profitability index (PI) at 120,000 ⁄ 100,000 = 1.2. Every dollar committed to the upgrade is projected to return $1.20 of value, or equivalently the project's NPV is $20,000 (120,000 minus 100,000), which checks against PI = 1 + 20,000 ⁄ 100,000 = 1.2.

Suppose a second candidate needs $40,000 and returns $52,000 of present value — an NPV of only $12,000, smaller in dollars, but a PI of 1.3, higher than the first project's 1.2. With a combined budget of $140,000 that covers both, funding is easy; with only $100,000 to spend, the second project's higher PI argues for funding it first and topping up whatever remains elsewhere, rather than defaulting to whichever project shows the bigger absolute NPV.

Questions

What does a profitability index above 1.0 mean?

It means the project's future cash flows, discounted to today, are worth more than the initial investment — the same verdict a positive NPV gives, just expressed as a ratio. A PI of 1.2 means $1.20 of value is projected for every dollar committed; a PI of 0.8 means only 80 cents comes back for each dollar spent, so the project destroys value at the discount rate used.

How is PI different from NPV for the same project?

NPV and PI move together — a PI above 1.0 always means a positive NPV, and PI equals 1 plus NPV divided by initial investment — but they answer different questions. NPV reports dollars of value created; PI reports value created per dollar invested. For one accept-or-reject decision they never disagree; for ranking several competing projects under one budget, they can.

When does PI rank projects differently than raw NPV?

Whenever the competing projects need different amounts of capital. A large project can post a bigger NPV simply because it uses more money, even though a smaller project turns each dollar into more value. Sorting by PI instead of NPV surfaces that second project, which is exactly why capital-rationing decisions default to PI rather than the raw dollar figure.

Can ranking by PI still pick the wrong combination of projects?

Yes, when projects are lumpy rather than perfectly divisible. PI assumes you could fund any fraction of a project, but a warehouse or a production line is typically bought whole, so the highest-PI project might not leave enough budget to fund the next-best one cleanly. Checking a few whole-project combinations against the budget catches cases the ranked list alone misses.

What counts as a strong profitability index?

There is no fixed threshold — a PI of 1.0 is exactly breakeven, and most funded corporate projects land somewhere between about 1.05 and 1.4 once realistic discount rates are applied. A PI far above that range more often signals an overly optimistic cash-flow forecast than an unusually good project; check the assumptions behind PV of future cash flows, $ before trusting a very high number.

Does the profitability index account for how large a project is?

No, deliberately — that is the entire point of dividing by the investment instead of just reporting NPV's dollar figure. A tiny $5,000 project and a $5,000,000 project can post the identical PI of 1.2, so PI alone says nothing about total value created; pair it with the underlying NPV or the investment size when the actual dollars at stake matter to the decision.

References

Read this first: This instrument shows arithmetic, not advice. Real offers add fees, taxes and terms that vary by lender and place — verify the figures against your actual paperwork before deciding anything.