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Net Present Value (NPV) answers one simple question: after accounting for the time value of money, does this project make us richer or poorer? If ₹1 today is worth more than ₹1 next year (because you could invest it and earn a return), then future cash flows need to be discounted back to today's value before you compare them to what you're spending now.

Here's the rule in plain English: calculate the present value (PV) of all future cash inflows the project will generate, then subtract the initial investment (cash outflow). The result is the NPV. If NPV is positive — accept the project, it adds value to the firm. If NPV is negative — reject it, it destroys value. If NPV = 0, the project exactly earns the required return (usually still acceptable).

The formula is: NPV = Σ [CFₜ ÷ (1 + r)ᵗ] − Initial Investment, where CFₜ is cash inflow in year t, r is the cost of capital (discount rate), and t is the year. For CA Inter, you'll be given either a flat discount rate or a PV factor table (annuity or single-sum). Always use the table values they provide — don't waste time computing (1+r)ᵗ manually in the exam.

NPV is considered the theoretically superior capital budgeting technique because it: (1) considers the time value of money, (2) uses all cash flows over the project's life, and (3) measures absolute wealth creation in rupees — not just a percentage. This is why ICAI examiners contrast it with IRR (which gives a rate, not ₹ value) and Payback Period (which ignores time value entirely). NPV assumes cash flows are reinvested at the cost of capital — a more realistic assumption than IRR's reinvestment rate assumption. This is asked frequently as a 5–8 mark question, often paired with a comparison to IRR or a ranking of two mutually exclusive projects.

📊 Worked example

Example 1 — Basic NPV Decision

Rajesh & Co. Pvt. Ltd. is evaluating a machine costing ₹5,00,000. It will generate net cash inflows of ₹1,50,000 per year for 5 years. The cost of capital is 10%. Should the company invest?

Working:

Step 1 — Find PV of annuity (from table): PVIFA (10%, 5 years) = 3.791

Step 2 — PV of inflows = ₹1,50,000 × 3.791 = ₹5,68,650

Step 3 — NPV = ₹5,68,650 − ₹5,00,000 = ₹68,650

Decision: Accept. NPV is positive (₹68,650 > 0), so the project adds value to the firm.

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Example 2 — Choosing Between Two Projects (Mutually Exclusive)

Ms. Iyer must choose between Project A (cost ₹8,00,000) and Project B (cost ₹8,00,000). Discount rate: 12%.

| Year | Project A CF | PV Factor @12% | PV of A | Project B CF | PV of B |

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

| 1 | ₹3,00,000 | 0.893 | ₹2,67,900 | ₹1,00,000 | ₹89,300 |

| 2 | ₹3,00,000 | 0.797 | ₹2,39,100 | ₹2,00,000 | ₹1,59,400 |

| 3 | ₹3,00,000 | 0.712 | ₹2,13,600 | ₹5,00,000 | ₹3,56,000 |

| Total PV | | | ₹7,20,600 | | ₹6,04,700 |

NPV of A = ₹7,20,600 − ₹8,00,000 = −₹79,400 → Reject

NPV of B = ₹6,04,700 − ₹8,00,000 = −₹1,95,300 → Reject

Decision: Both projects are rejected as NPV is negative. Neither recovers the cost of capital.

⚠️ Common exam mistakes

  • Using profit instead of cash flows: Don't plug net profit into the NPV formula — always use cash inflows (add back depreciation to PAT if cash flows aren't directly given). Depreciation is a non-cash charge.
  • Forgetting the initial investment is at Year 0: Students sometimes discount the initial investment. It's already in present value terms — don't apply a PV factor to it.
  • Ignoring working capital: If the question mentions working capital introduced at the start and recovered at the end of the project, include it — outflow at Year 0, inflow at final year. Many students skip this entirely.
  • Confusing NPV with IRR on ranking: When two projects have different scales (different investment sizes), NPV gives the correct ranking for wealth maximization, not IRR or Profitability Index alone. Don't default to 'higher IRR = better project' in a mutually exclusive scenario.
  • Wrong PV factor lookup: Annuity factor (PVIFA) is for equal annual flows; single-period factor (PVIF) is for unequal or lump-sum flows. Using the wrong table is an extremely common error that costs all calculation marks.
📖 Reference: NPV — Institute of Chartered Accountants of India
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