Irr Calculator

Internal Rate of Return (IRR) Calculator

Enter as a positive number. This will be treated as a negative cash flow in calculation.
How many periods (e.g., years) will have cash flows after the initial investment?

Result:

Understanding the Internal Rate of Return (IRR)

The Internal Rate of Return (IRR) is a financial metric used in capital budgeting to estimate the profitability of potential investments. It is a discount rate that makes the Net Present Value (NPV) of all cash flows from a particular project or investment equal to zero. In simpler terms, it's the expected annual rate of growth that an investment is projected to generate.

How IRR Works

When evaluating an investment, businesses often look at the cash flows it's expected to generate over its lifetime. These cash flows include an initial outlay (the investment itself) and subsequent inflows or outflows over several periods. The IRR takes all these cash flows into account and determines the discount rate at which the present value of future cash inflows exactly equals the initial investment.

A higher IRR generally indicates a more desirable investment. Companies typically compare the IRR of a project to their required rate of return (or hurdle rate). If the IRR is higher than the hurdle rate, the project is usually considered acceptable. If it's lower, the project might be rejected.

Key Components of IRR Calculation:

  • Initial Investment (Cash Outflow): This is the cost of the project or investment at the beginning (time zero). It's typically represented as a negative cash flow in the calculation.
  • Cash Flows: These are the net cash amounts (inflows minus outflows) expected to be generated or spent in each subsequent period (e.g., year 1, year 2, etc.) over the life of the project. Cash inflows are positive, outflows are negative.

Advantages of IRR:

  • Intuitive: Expressed as a percentage, it's easy to understand and compare with other rates (like the cost of capital).
  • Considers Time Value of Money: It discounts future cash flows, acknowledging that money today is worth more than the same amount in the future.

Limitations of IRR:

  • Multiple IRRs: For projects with unconventional cash flow patterns (e.g., alternating between positive and negative cash flows), there can be multiple IRRs, making interpretation difficult.
  • Reinvestment Assumption: IRR assumes that all intermediate cash flows are reinvested at the IRR itself, which might not be realistic.
  • Scale of Projects: IRR doesn't consider the absolute size of the investment. A project with a high IRR but small initial investment might be less valuable than a project with a lower IRR but a much larger initial investment.

Example Calculation:

Let's say you are considering an investment with the following cash flows:

  • Initial Investment: $100,000
  • Year 1 Cash Flow: $30,000
  • Year 2 Cash Flow: $40,000
  • Year 3 Cash Flow: $50,000
  • Year 4 Cash Flow: $35,000
  • Year 5 Cash Flow: $25,000

Using the calculator, you would input 100000 for Initial Investment, 5 for Number of Periods, and then enter the respective cash flows for each year. The calculator would then determine the IRR that makes the NPV of these cash flows equal to zero.

In this example, the IRR would be approximately 14.32%. If your company's hurdle rate is 10%, this project would be considered acceptable.

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align-items: center; margin-bottom: 10px; } .cash-flow-input-group label { flex: 0 0 120px; /* Fixed width for label */ margin-bottom: 0; font-weight: normal; font-size: 14px; } .cash-flow-input-group input { flex-grow: 1; margin-left: 10px; } .calculate-button { display: block; width: 100%; padding: 14px; background-color: #007bff; color: white; border: none; border-radius: 6px; font-size: 18px; font-weight: bold; cursor: pointer; transition: background-color 0.3s ease; margin-top: 25px; } .calculate-button:hover { background-color: #0056b3; } .calculator-result { background-color: #e9f7ee; border: 1px solid #d4edda; border-radius: 8px; padding: 20px; margin-top: 30px; text-align: center; } .calculator-result h3 { color: #28a745; margin-top: 0; margin-bottom: 15px; font-size: 22px; } #irrResult { font-size: 2em; color: #007bff; font-weight: bold; } .calculator-article { margin-top: 40px; padding-top: 30px; border-top: 1px solid #eee; color: #333; line-height: 1.6; } .calculator-article h3 { color: #333; margin-bottom: 15px; font-size: 24px; } .calculator-article h4 { color: #555; margin-top: 25px; margin-bottom: 10px; font-size: 18px; } .calculator-article p { margin-bottom: 15px; text-align: justify; } .calculator-article ul { list-style-type: disc; margin-left: 20px; margin-bottom: 15px; } .calculator-article ul li { margin-bottom: 8px; } // Function to generate cash flow input fields function generateCashFlowInputs() { var numPeriods = parseInt(document.getElementById("numPeriods").value); var container = document.getElementById("cashFlowInputsContainer"); container.innerHTML = "; // Clear previous inputs if (isNaN(numPeriods) || numPeriods < 1) { numPeriods = 0; // Default to 0 if invalid document.getElementById("numPeriods").value = 0; } for (var i = 1; i <= numPeriods; i++) { var div = document.createElement("div"); div.className = "cash-flow-input-group"; div.innerHTML = '' + "; container.appendChild(div); } // Set default values for the example if (numPeriods >= 1) document.getElementById("cashFlow1").value = "30000"; if (numPeriods >= 2) document.getElementById("cashFlow2").value = "40000"; if (numPeriods >= 3) document.getElementById("cashFlow3").value = "50000"; if (numPeriods >= 4) document.getElementById("cashFlow4").value = "35000"; if (numPeriods >= 5) document.getElementById("cashFlow5").value = "25000"; } // Function to calculate Net Present Value (NPV) for a given rate and cash flows function calculateNPV(rate, cashFlows) { var npv = 0; for (var i = 0; i < cashFlows.length; i++) { npv += cashFlows[i] / Math.pow(1 + rate, i); } return npv; } // Main IRR calculation function function calculateIRR() { var initialInvestment = parseFloat(document.getElementById("initialInvestment").value); var numPeriods = parseInt(document.getElementById("numPeriods").value); var resultDiv = document.getElementById("irrResult"); if (isNaN(initialInvestment) || initialInvestment <= 0) { resultDiv.innerHTML = "Please enter a valid positive Initial Investment."; return; } var cashFlows = [-initialInvestment]; // Initial investment is a negative cash flow for (var i = 1; i <= numPeriods; i++) { var cashFlowInput = document.getElementById("cashFlow" + i); var cashFlowValue = parseFloat(cashFlowInput.value); if (isNaN(cashFlowValue)) { resultDiv.innerHTML = "Please enter valid numbers for all Cash Flow Periods."; return; } cashFlows.push(cashFlowValue); } // Check for minimum cash flows required for IRR (at least one negative and one positive) var hasNegative = false; var hasPositive = false; for (var j = 0; j < cashFlows.length; j++) { if (cashFlows[j] 0) hasPositive = true; } if (!hasNegative || !hasPositive) { resultDiv.innerHTML = "IRR requires at least one negative and one positive cash flow."; return; } // Bisection method to find IRR var lowRate = -0.9999; // -99.99% var highRate = 100; // 10000% var tolerance = 0.000001; // 0.0001% var maxIterations = 1000; var irr = NaN; for (var iter = 0; iter < maxIterations; iter++) { var midRate = (lowRate + highRate) / 2; var npv = calculateNPV(midRate, cashFlows); if (Math.abs(npv) 0) { lowRate = midRate; } else { highRate = midRate; } } if (!isNaN(irr)) { resultDiv.innerHTML = (irr * 100).toFixed(2) + "%"; } else { resultDiv.innerHTML = "Could not find a valid IRR within the given range/iterations. Check cash flows."; } } // Initialize cash flow inputs on page load window.onload = function() { generateCashFlowInputs(); };

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