How to Calculate Npv

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Net Present Value (NPV) Calculator

Evaluate the profitability of your investment by discounting future cash flows.

Your Estimated NPV:
$0.00

What is Net Present Value (NPV)?

Net Present Value (NPV) is a core financial metric used in capital budgeting to analyze the profitability of a projected investment or project. It represents the difference between the present value of cash inflows and the present value of cash outflows over a specific period of time.

The NPV Formula

The mathematical formula for calculating NPV is:

NPV = Σ [ Rt / (1 + i)^t ] – Initial Investment

  • Rt: Net cash inflow-outflow during a single period t
  • i: Discount rate or return that could be earned in alternative investments
  • t: Number of timer periods

How to Calculate NPV Step-by-Step

  1. Identify Initial Investment: Determine the total cost required to start the project (usually represented as a negative number or subtracted at the end).
  2. Estimate Cash Flows: Project the expected revenue or savings for each future period (usually years).
  3. Determine the Discount Rate: Choose an appropriate discount rate, which often reflects the company's weighted average cost of capital (WACC) or the risk level of the project.
  4. Discount Each Cash Flow: Use the formula CF / (1 + r)^n for each year.
  5. Sum the Totals: Add all discounted cash flows together and subtract the initial investment.

Example Calculation

Suppose you invest $10,000 in a project with a 10% discount rate. It returns $4,000 in Year 1, $4,000 in Year 2, and $4,000 in Year 3.

  • Year 1 PV: $4,000 / (1 + 0.10)^1 = $3,636.36
  • Year 2 PV: $4,000 / (1 + 0.10)^2 = $3,305.79
  • Year 3 PV: $4,000 / (1 + 0.10)^3 = $3,005.26
  • Total PV of Inflows: $9,947.41
  • NPV: $9,947.41 – $10,000 = -$52.59

Because the NPV is negative, this project would theoretically lose value relative to the 10% benchmark.

function calculateNPV() { var initialInvestment = parseFloat(document.getElementById('initialInvestment').value); var rate = parseFloat(document.getElementById('discountRate').value) / 100; var cf1 = parseFloat(document.getElementById('cashFlow1').value) || 0; var cf2 = parseFloat(document.getElementById('cashFlow2').value) || 0; var cf3 = parseFloat(document.getElementById('cashFlow3').value) || 0; var cf4 = parseFloat(document.getElementById('cashFlow4').value) || 0; var cf5 = parseFloat(document.getElementById('cashFlow5').value) || 0; if (isNaN(initialInvestment) || isNaN(rate)) { alert("Please enter both the Initial Investment and the Discount Rate."); return; } var cashFlows = [cf1, cf2, cf3, cf4, cf5]; var totalPresentValue = 0; for (var t = 0; t 0) { statusMessage.innerText = "Positive NPV: This investment is potentially profitable."; statusMessage.style.color = "#2f855a"; } else if (npv < 0) { statusMessage.innerText = "Negative NPV: This investment may result in a net loss."; statusMessage.style.color = "#c53030"; } else { statusMessage.innerText = "Zero NPV: This project breaks even at the specified discount rate."; statusMessage.style.color = "#2d3748"; } resultBox.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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