Internal Rate of Return Uneven Cash Flows Calculator

Internal Rate of Return (IRR) Calculator

Enter the initial cash outflow (as a negative number) and the subsequent periodic cash inflows to calculate the IRR.

Calculated Internal Rate of Return

0%

Understanding IRR for Uneven Cash Flows

The Internal Rate of Return (IRR) is a critical financial metric used to estimate the profitability of potential investments. For uneven cash flows, the IRR is the discount rate that makes the Net Present Value (NPV) of all cash flows (both positive and negative) from a particular project equal to zero.

The Importance of IRR in Financial Modeling

In real-world business scenarios, cash flows are rarely uniform. A project might require a large initial capital expenditure followed by varying amounts of revenue or maintenance costs over several years. This calculator uses an iterative numerical method to solve the polynomial equation required for uneven cash flows.

  • Decision Rule: Generally, if the IRR exceeds the required rate of return (hurdle rate), the project is considered viable.
  • Comparative Analysis: IRR allows you to compare the efficiency of different projects regardless of their scale.
  • Time Value of Money: It inherently accounts for the timing of cash flows, weighing earlier returns more heavily than later ones.

Example Calculation

Imagine you invest $10,000 today in a project. Your expected returns over the next 5 years are:

Year Cash Flow
Year 0-$10,000
Year 1$2,000
Year 2$3,500
Year 3$4,000
Year 4$3,000
Year 5$1,500

By entering these values, the calculator will determine the exact percentage rate at which the investment breaks even in present value terms.

function computeIRR() { var cashFlows = []; var ids = ['cf0', 'cf1', 'cf2', 'cf3', 'cf4', 'cf5']; for (var i = 0; i 0) { // Treat empty subsequent years as zero, but keep logic simple cashFlows.push(0); } } if (cashFlows.length 0) { interpretation.innerHTML = "This project generates a positive return on investment."; } else { interpretation.innerHTML = "This project indicates a negative rate of return."; } } } function calculateIRRValue(cashFlows) { var guess = 0.1; // 10% initial guess var maxIterations = 1000; var precision = 0.00001; for (var i = 0; i < maxIterations; i++) { var npv = 0; var dNPV = 0; for (var t = 0; t 0) { dNPV -= t * cashFlows[t] / Math.pow(1 + guess, t + 1); } } var newGuess = guess – npv / dNPV; if (Math.abs(newGuess – guess) < precision) { return newGuess; } guess = newGuess; } return null; // Did not converge }

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