Internal Rate of Return Calculator with Discount Rate

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Internal Rate of Return (IRR) & NPV Calculator

Net Present Value (NPV):
Internal Rate of Return (IRR):
Profitability Index:

Understanding IRR and the Discount Rate

The Internal Rate of Return (IRR) is a critical financial metric used in capital budgeting to estimate the profitability of potential investments. It is the annual rate of growth that an investment is expected to generate. Technically, the IRR is the discount rate that makes the net present value (NPV) of all cash flows from a particular project equal to zero.

Why Compare IRR with a Discount Rate?

In professional finance, the Discount Rate (often the Weighted Average Cost of Capital or a hurdle rate) represents the minimum acceptable return for an investment given its risk profile. By comparing the calculated IRR to your Discount Rate, you can make informed decisions:

  • IRR > Discount Rate: The project is expected to add value to the firm and should generally be accepted.
  • IRR < Discount Rate: The project is expected to destroy value compared to alternative investments and should be rejected.

Calculation Example

Imagine you invest $10,000 today. Over the next three years, you receive $4,000, $4,500, and $5,000. If your target discount rate is 8%, this calculator will determine the exact percentage return (IRR) and whether the present value of those future dollars exceeds your initial $10,000 cost (NPV).

Limitations to Consider

While IRR is powerful, it assumes that all interim cash flows are reinvested at the same rate as the IRR, which may be unrealistic. For more complex projects with alternating positive and negative cash flows, multiple IRRs can exist. In such cases, checking the NPV alongside the IRR is the gold standard for financial analysis.

function calculateFinancials() { var initial = parseFloat(document.getElementById('initialInvestment').value); var discount = parseFloat(document.getElementById('discountRate').value) / 100; var cfs = []; cfs.push(-Math.abs(initial)); // Outlay is negative for (var i = 1; i <= 5; i++) { var val = parseFloat(document.getElementById('cashflow' + i).value); cfs.push(isNaN(val) ? 0 : val); } if (isNaN(initial) || isNaN(discount)) { alert("Please enter at least the initial investment and target discount rate."); return; } // Calculate NPV var npv = 0; for (var t = 0; t = 0 ? "result-value status-positive" : "result-value status-negative"; if (irr === null) { irrVal.innerHTML = "Not found"; } else { irrVal.innerHTML = (irr * 100).toFixed(2) + "%"; irrVal.className = (irr >= discount) ? "result-value status-positive" : "result-value status-negative"; } var pi = (npv + initial) / initial; piVal.innerHTML = isNaN(pi) ? "0.00" : pi.toFixed(2); if (npv >= 0) { decisionBox.style.backgroundColor = "#def7ec"; decisionBox.style.color = "#03543f"; decisionText.innerHTML = "PROFITABLE: This investment exceeds your target discount rate."; } else { decisionBox.style.backgroundColor = "#fde8e8"; decisionBox.style.color = "#9b1c1c"; decisionText.innerHTML = "UNPROFITABLE: This investment does not meet your target hurdle rate."; } } function calculateIRR(cashFlows) { var low = -0.9999; var high = 10.0; var guess = 0.1; var maxIterations = 1000; var precision = 0.00001; function getNPV(rate) { var total = 0; for (var i = 0; i 0) { // If both ends have same sign, we can't bisect. // Try expanding high for very profitable projects high = 100.0; if (getNPV(low) * getNPV(high) > 0) return null; } for (var j = 0; j < maxIterations; j++) { guess = (low + high) / 2; var npv = getNPV(guess); if (Math.abs(npv) < precision) return guess; if (getNPV(low) * npv < 0) { high = guess; } else { low = guess; } } return guess; }

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