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Profitability Index (PI) answers one simple question: for every rupee you invest, how many rupees of present value do you get back? That makes it the go-to tool when a company has limited funds and must choose between multiple projects — this is called capital rationing.

The formula is straightforward: PI = PV of Future Cash Inflows ÷ Initial Cash Outflow. You can also compute it as PI = 1 + (NPV ÷ Initial Investment). A PI greater than 1 means accept the project (you're earning more than your cost of capital). A PI less than 1 means reject it. Exactly 1 means you're just breaking even on a present-value basis — the project earns exactly the discount rate, nothing more.

Where PI really shines is project ranking under capital rationing. Imagine Rajesh & Co. Pvt. Ltd. has ₹10 lakhs to invest and three projects on the table. NPV alone can mislead you here — a project with a high NPV might require a huge investment and crowd out two better smaller projects. PI normalises for size. You rank projects from highest PI to lowest, then keep picking until the budget runs out. Important nuance: this ranking works cleanly only when projects are independent and divisible (you can take a fraction of a project). If projects are indivisible (all-or-nothing), you must enumerate feasible combinations and pick the one with the highest total NPV — PI ranking alone isn't sufficient.

PI is closely related to NPV and IRR — all three are DCF (Discounted Cash Flow) methods and will almost always agree on accept/reject for a single project. The real exam edge of PI is in ranking and capital rationing scenarios. This topic is asked frequently as a 5-mark problem where you're given 3–4 projects with limited capital and must select the optimal mix. Always show your PI calculation clearly and state your accept/reject conclusion explicitly — examiners award marks for both.

📊 Worked example

Example 1 — Basic PI Calculation

Project Alpha requires an initial investment of ₹8,00,000. The PV of its future cash inflows (discounted at 12%) is ₹10,40,000. Should it be accepted?

| Item | Amount |

|---|---|

| PV of Cash Inflows | ₹10,40,000 |

| Initial Investment | ₹8,00,000 |

| PI | 10,40,000 ÷ 8,00,000 = 1.30 |

Verification via NPV route: NPV = ₹10,40,000 − ₹8,00,000 = ₹2,40,000. PI = 1 + (2,40,000 ÷ 8,00,000) = 1.30

Decision: PI > 1 → Accept Project Alpha.

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Example 2 — Capital Rationing (Divisible Projects)

Ms. Iyer's firm has a capital budget of ₹15,00,000. Three independent, divisible projects are available (all discounted at 10%):

| Project | Initial Investment | PV of Inflows | NPV | PI |

|---|---|---|---|---|

| P | ₹10,00,000 | ₹13,00,000 | ₹3,00,000 | 1.30 |

| Q | ₹7,50,000 | ₹9,00,000 | ₹1,50,000 | 1.20 |

| R | ₹5,00,000 | ₹5,75,000 | ₹75,000 | 1.15 |

Step 1 — Rank by PI: P (1.30) → Q (1.20) → R (1.15)

Step 2 — Allocate budget:

  • Take 100% of P: ₹10,00,000 used | Budget remaining: ₹5,00,000
  • Take 100% of R: ₹5,00,000 used | Budget remaining: ₹0 (Q needs ₹7,50,000 — can only take a fraction)

Wait — check if Q fraction beats R fully:

  • Take 100% of P + 2/3rd of Q: NPV = ₹3,00,000 + (2/3 × ₹1,50,000) = ₹3,00,000 + ₹1,00,000 = ₹4,00,000
  • Take 100% of P + 100% of R: NPV = ₹3,00,000 + ₹75,000 = ₹3,75,000

Optimal selection: P (full) + Q (2/3rd) → Total NPV = ₹4,00,000

⚠️ Common exam mistakes

  • Using undiscounted cash flows in the numerator. PI must use the Present Value of inflows, not raw/total cash flows. Always discount first, then divide by the initial outlay.
  • Dividing NPV by initial investment and calling it PI. That gives you NPV/I, which is a valid index but it is NOT the Profitability Index. PI = PV of inflows ÷ Initial Investment (equivalently, 1 + NPV/I). Don't drop the '1'.
  • Ranking by PI even when projects are indivisible. If you can't take a fraction of a project, PI ranking can give a wrong answer. You must compare feasible combinations by total NPV and pick the best.
  • Including the initial investment in the PV of inflows. The numerator is only the PV of future cash inflows — the Year 0 outflow is the denominator. Mixing them inflates PI artificially.
  • Concluding PI = 1 means the project is bad. PI = 1 means NPV = 0, which means the project earns exactly the required rate of return. It's break-even on a PV basis — not a loss. Under strict capital rationing, you'd skip it for better options, but in isolation it's acceptable.
📖 Reference: PI — Institute of Chartered Accountants of India
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