Knowledge · Strategy & Planning

NPV · IRR · Investment Feasibility

Net Present Value & Internal Rate of Return

📂Strategy & Planning⏱2-min read📊Advanced🔗8 related

What is NPV?

In one line
A method that converts future cash inflows into present value to judge whether an investment is worth making (NPV, Net Present Value), and a metric that shows the annual percentage return the investment delivers (IRR, Internal Rate of Return).
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⚡ Summary in 3 lines
  • Judged by converting future cash into present value
  • NPV > 0 means the investment is worthwhile
  • IRR is intuitive, but it can mislead when project sizes differ

The conversation in investment reviews changes. Instead of appeals like “the equipment is too old to keep running,” the discussion turns to how much after-tax cash a KRW 4.2 billion (≈ US$3,142,300) investment returns each year for 7 years, and what is left once that is converted back into today’s money. The biggest change is that the timing of cash inflows becomes a decision-making variable. Each year of delay in recovery reduces the value accordingly, so negotiation items such as shortening the construction period or payment terms suddenly carry financial weight.

Review materials usually carry four metrics together. NPV shows the dollar amount, IRR the rate, payback period the speed, and ROI the accounting profitability. The trouble starts when they disagree, and NPV breaks the tie. Compare a project that invests KRW 3 billion (≈ US$2,244,500) for an NPV of KRW 500 million (≈ US$374,100) with one that invests KRW 300 million (≈ US$224,500) for an IRR of 40%: the first is the one that actually adds more cash to the company’s coffers. When investment size or asset life differs, recalculate using incremental cash flow or convert to equivalent annual annuity (EAA) before comparing. Use WACC as the discount rate, but for projects with a different risk profile, such as overseas new ventures, add a separate risk premium.

How the cash-flow table is built matters more than the formula. Depreciation involves no cash outflow, so it isn’t deducted as an outflow, but the tax it saves is added as a tax shield. When inventory and receivables grow, the increase in working capital is booked as an outflow and recovered in the final year; salvage value and demolition costs must not be left out either. Then add a sensitivity check showing where NPV turns negative when the discount rate moves 1 percentage point, selling price 5%, or utilization 10 percentage points, and the review shifts from “does it work or not” to which assumptions must be defended.

The most common mistake is working backward: fixing the conclusion first and then fitting the numbers. The moment you double year-5 revenue or cut the discount rate from 8% to 6% to make NPV positive, the document stops being review material and becomes paperwork for sign-off. Counting sunk costs, such as adding design fees already spent to the investment, and ignoring cannibalization, where a new product takes volume from existing lines, are frequent errors too. Approving on IRR alone is risky as well. If the cash-flow signs change twice along the way, IRR yields two values or none at all, and because IRR assumes recovered cash is reinvested at the same rate, it gives an overstated figure.

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💡 In plain English
It means rewinding time in the calculation so that a prize you receive today and one you receive five years from now can be compared on equal footing.
Why it matters in practice
It is the standard language for answering 'should we do it?' in numbers at equipment, system, and new-business investment reviews.
🧮 Formula
NPV = Σ [ CFt ÷ (1+r)^t ] − initial investment (CFt = cash flow in year t, r = discount rate) / IRR = the r at which NPV equals 0
Invest KRW 100 million (≈ US$74,800) up front, receive KRW 40 million (≈ US$29,900) a year for 3 years, and discount at 10%: the present values add up to about KRW 99.5 (≈ US$1) million, so NPV is about −KRW 500,000 (≈ US$375). In other words, it falls short of the 10% required rate of return. (Hypothetical example)
Origin and sources

Rooted in Irving Fisher’s capital theory, it was standardized as a capital budgeting technique in corporate finance in the mid-20th century.

Source · Irving Fisher (1930) · Modern corporate finance theory
An example

Consider a hypothetical case. Company A, a Korean auto-parts manufacturer (320 employees, KRW 110 billion (≈ US$82,298,400) in annual revenue), had spent two years unable to decide on replacing a 15-year-old press line. Production pushed for a KRW 4.2 billion (≈ US$3,142,300) new machine, Finance for a KRW 1.2 billion (≈ US$897,800) partial overhaul, and both sides just kept repeating “ours is right.” The management meeting gave them 8 weeks and told them to put both options in the same table.

  1. Manager Park of the production engineering team laid out the 7-year after-tax cash flows of both options on a single page. The new option showed annual inflows of KRW 980 (≈ US$1) million, driven by a defect rate falling from 3.2% to 0.8% and six fewer night-shift staff.
  2. The finance director set the rule: 'Take our WACC of 7.4%, add 1.5 percentage points for equipment localization risk, and use 8.9%.' Applying the same discount rate to both options put them on equal footing.
  3. In the first pass, the new option came out at an NPV of KRW 1.14 billion (≈ US$852,900) and an IRR of 18%, while the conservative option came out at an NPV of KRW 420 million (≈ US$314,200) and an IRR of 24%. On IRR alone the conservative option wins, but the new option leaves the company more than twice as much money.
  4. When the CFO asked, “What happens if the selling price drops?”, Manager Park opened the sensitivity table and answered that NPV turns negative if the price falls 6% or utilization drops below 72%.
  5. The management meeting approved the new option but set 78% utilization as a quarterly checkpoint metric. Fourteen months after launch, the defect rate was 0.9% and the actual IRR was 16.5%, 1.5 percentage points below plan but comfortably above the 8.9% required return.
Related terms
Payback PeriodThe simplest investment appraisal method, judging an investment by how many years it takes to recover the money spent. Easy to calculate and gives an intuitive view of capital risk.Sensitivity Analysis · What-ifA validation technique that changes key assumptions one at a time to see how much the result moves, revealing which variables make or break the outcome.Feasibility Study · F/SA preliminary study that comprehensively reviews whether a new business or major investment is feasible in terms of market, technology, profitability, regulation, and operations before it is carried out.ROI · Return on InvestmentA metric that expresses, as a percentage, how much profit was earned relative to the cost invested. It is the common language for every investment decision, from training to marketing.EBITDAEarnings Before Interest, Taxes, Depreciation and Amortization. A metric for comparing operating cash-generating power by stripping out differences in capital structure and accounting treatment.CAPEX · OPEX and DepreciationThe distinction between spending to acquire assets (CAPEX) and costs consumed in running operations (OPEX). Which way an expense is treated changes both profit and cash flow.Cost-Benefit Analysis · B/C RatioAn analysis that converts the benefits and costs of a project into monetary value and compares them. A B/C ratio (benefits divided by costs) above 1 is generally considered feasible.Opportunity CostThe value of the most valuable alternative given up by making a choice. It doesn’t appear in the accounting books, but it is the real benchmark for decisions.
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Last updated 13 Sep 2026 · Reviewed by John Kim

FAQ

Use NPV. When investment sizes differ or cash-flow signs change several times, IRR can be distorted or yield multiple values.
The textbook answer is the weighted average cost of capital (WACC); in practice, many companies apply their own minimum required rate of return (hurdle rate).
ROI is a simple ratio that ignores the time value of money, while NPV and IRR also account for when the cash arrives. The longer the investment period, the bigger the difference.