CAPITAL BUDGETING11 min read

The Complete Guide to Profitability Index in the Real World

Profitability Index — illustrated overview of the Capital Budgeting learning track
Capital Budgeting learning track · guide 4 of 4

The profitability index (PI) is NPV wearing a different suit: instead of measuring value created in dollars, it measures value created per dollar invested. PI = PV of future cash flows divided by the initial outlay. A PI of 1.20 means every invested dollar returns $1.20 in present value — $0.20 of value created on top of the dollar itself.

PI’s specialty is capital rationing — the real-world situation where good projects outnumber available funds. When the budget cannot fund every NPV-positive project, PI ranks them by bang-per-buck. This guide covers the formula, the decision rule, and the ranking problem PI solves elegantly.

01Definition and Formula

The profitability index is the ratio of the present value of inflows to the initial investment. It is NPV rescaled: PI = 1 + NPV/Investment. A zero-NPV project has PI exactly 1.0; each dollar of NPV per dollar of investment adds 0.01 to the index.

Because PI is a ratio, it is scale-free — a $5 million project and a $500 million project can be compared directly. That is precisely its power and, as with IRR, precisely its danger when projects differ greatly in size.

Formula

PI = PV(CF1..n) / C0 = 1 + NPV / C0

Value per dollar invested

02The Decision Rule

Standalone: accept any project with PI > 1.0 and reject below 1.0 — logically identical to the NPV rule. PI above 1 means inflows’ present value exceeds the outlay; value is created. At exactly 1.0 the project earns the required return and nothing more.

PI shines when the constraint is the budget rather than project quality. Ranking candidate projects by PI (bang per buck) and funding from the top until the budget exhausts approximates the maximum total NPV achievable under rationing — the classic knapsack logic of capital budgeting.

Rationing $20 million

Four projects, all PI > 1: A (invest 12, NPV 3.6), B (invest 6, NPV 2.4), C (invest 5, NPV 1.0), D (invest 9, NPV 2.7). Ranking by PI: B (1.40), D (1.30), A (1.30), C (1.20). A budget of $20M funds B + D = NPV 5.1, versus A + C = 4.6 despite A’s bigger standalone NPV. Bang-per-buck beats absolute size under rationing.

03PI vs NPV — Complements, Not Rivals

For single go/no-go decisions, PI and NPV always agree; the ratio is a monotone transform of the dollar measure. They diverge only in ranking. When two positive-NPV projects are mutually exclusive, the larger project may have both the higher NPV and the lower PI — and the right choice is the larger NPV, because wealth is measured in dollars.

PI also inherits NPV’s input problems — it is only as good as the cash flow forecasts and the discount rate. Its practical role is specific: a budget-allocation lens. Many companies compute all three metrics for every project — NPV for the decision, IRR for communication, PI for capital rationing — and let each answer the question it is built for.

  • PI > 1 ⇔ NPV > 0: same verdict on standalone projects.
  • PI ranks efficiently under a fixed budget (capital rationing).
  • For mutually exclusive projects of different scale, choose by NPV.
  • PI is NPV normalized — all NPV caveats apply to its inputs.

04Computing PI Step by Step

The mechanics take three moves. First, discount every inflow at the hurdle rate to get the present value of the inflow stream. Second, divide that present value by the initial investment. Third, read the result: every 0.01 above 1.00 is one cent of value created per invested dollar. The computation reuses everything you know from NPV — only the final division changes.

Because the last step is a division, PI responds sharply when the denominator shrinks. Halving the investment while halving the inflows leaves NPV halved but PI unchanged — the ratio, not the dollar figure, is the lens. That is exactly why PI belongs where dollars of budget, not dollars of wealth, are the constraint.

Formula

PI = [ CF1/(1+r) + CF2/(1+r)2 + … + CFn/(1+r)n ] / C0

Discount the inflows, then divide by the outlay

A worked index

Invest $80,000; inflows $30,000 for 4 years; hurdle 10%. PV of the annuity: 30,000 × 3.1699 = $95,096. PI = 95,096 / 80,000 = 1.19. Every invested dollar returns $1.19 in present value — $0.19 created. NPV check: 95,096 − 80,000 = $15,096, and indeed PI = 1 + 15,096/80,000 = 1.19. Same project, same verdict, different lens.

05PI Under Capital Rationing — The Knapsack Logic

Capital rationing is the normal state of most companies: divisions submit more positive-NPV projects than headquarters will fund. When projects are divisible, ranking by PI and funding top-down maximizes total NPV per budgeted dollar — the greedy algorithm of capital budgeting. Each accepted project is the best bang-per-buck available at that moment.

Real projects are lumpy, and lumpiness breaks pure ranking: the top-ranked $18M project may fit worse into a $20M budget than the second- and fourth-ranked projects combined. The practical protocol is PI-ranked shortlisting followed by integer optimization — test the best combinations that actually fit the budget, and confirm the winner by its total NPV. PI narrows the field; total NPV still picks the portfolio.

  • Rank candidates by PI, not by raw NPV, when the budget binds.
  • Fund down the list while budget lasts — the divisible-project optimum.
  • With lumpy projects, test combinations and choose by total NPV.
  • Re-run the ranking when the budget changes — PI ranks, it does not decide.

06Strengths and Watch-outs

PI’s strengths are real: it is scale-free, intuitive, theoretically consistent with NPV for accept/reject choices, and uniquely useful under rationing. It communicates well to boards — “1.25 dollars of value per dollar invested” lands harder than an abstract NPV figure — and it normalizes comparisons across divisions with different capital intensities.

The watch-outs mirror IRR’s: as a ratio it is silent about scale, so it must never arbitrate mutually exclusive projects of different sizes. It also assumes the rationing is real — if the “budget” is a political fiction, optimizing PI optimizes the wrong constraint. And like every discounted metric, it inherits forecast risk: a precise PI on invented cash flows is precise nonsense.

  • Strength: scale-free ranking under a real budget constraint.
  • Strength: identical accept/reject verdicts to NPV.
  • Watch-out: never use PI to choose between mutually exclusive projects.
  • Watch-out: confirm the constraint is genuine before optimizing against it.

Key Takeaways

  • PI = PV of inflows ÷ investment = value created per dollar invested.
  • PI > 1 accepts, exactly mirroring NPV > 0.
  • PI’s specialty: ranking projects when the capital budget is the binding constraint.
  • With lumpy projects, PI shortlists but total NPV picks the portfolio.
  • Scale matters in absolute choices — dollars (NPV) decide, ratios advise.