How to Calculate Npv with Required Rate of Return

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Net Present Value (NPV) Calculator

Projected Future Cash Flows:
Enter the net cash inflow for each year. Leave blank if 0.
Net Present Value
$0.00

How to Calculate NPV with Required Rate of Return

Net Present Value (NPV) is one of the most reliable methods for evaluating the profitability of an investment. It tells you whether an investment will yield a positive return after accounting for the time value of money. The core of this calculation relies heavily on your Required Rate of Return, often called the discount rate or hurdle rate.

The Formula

To calculate NPV manually, you sum the present values of all future cash flows and subtract the initial investment cost. The formula is:

NPV = [R₁ / (1+r)¹] + [R₂ / (1+r)²] + … + [Rₙ / (1+r)ⁿ] – Initial Investment

  • Rₜ: Net cash flow during a single period (t).
  • r: The Required Rate of Return (discount rate).
  • t: The number of time periods (years).

Why "Required Rate of Return" Matters

The Required Rate of Return is the minimum gain an investor expects to achieve by investing in a project. It accounts for:

  • Risk: Higher risk projects require higher return rates.
  • Opportunity Cost: What you could earn by investing elsewhere (e.g., the stock market or bonds).
  • Inflation: The loss of purchasing power over time.

If you set your rate too low, you might accept unprofitable projects. If you set it too high, you might reject profitable ones.

Example Calculation

Imagine you are considering a business upgrade costing $10,000. You expect it to generate $3,000 per year for 5 years. Your required rate of return is 10%.

Using the calculator above:

  1. Year 1 PV: $3,000 / (1.10)¹ = $2,727.27
  2. Year 2 PV: $3,000 / (1.10)² = $2,479.34
  3. Year 3 PV: $3,000 / (1.10)³ = $2,253.94
  4. Year 4 PV: $3,000 / (1.10)⁴ = $2,049.04
  5. Year 5 PV: $3,000 / (1.10)⁵ = $1,862.76

Sum of PVs: $11,372.35
Less Initial Investment: -$10,000
NPV: $1,372.35

Since the NPV is positive, the investment exceeds your required rate of return and is financially sound.

function calculateNPV() { // 1. Get Inputs var investmentInput = document.getElementById('npv-investment'); var rateInput = document.getElementById('npv-rate'); var investment = parseFloat(investmentInput.value); var rate = parseFloat(rateInput.value); // Validation if (isNaN(investment)) { alert("Please enter a valid Initial Investment."); return; } if (isNaN(rate)) { alert("Please enter a valid Required Rate of Return."); return; } // 2. Prepare Calculation Variables var decimalRate = rate / 100; var totalPV = 0; var cashFlows = []; // 3. Loop through 5 years of inputs for (var i = 1; i <= 5; i++) { var flowInput = document.getElementById('npv-year-' + i); var flowVal = parseFloat(flowInput.value); // Treat empty inputs as 0, but only if user didn't enter anything if (isNaN(flowVal)) flowVal = 0; cashFlows.push({ year: i, amount: flowVal }); } // 4. Build Result HTML Table var tableHTML = ''; // Add Year 0 (Investment) tableHTML += ''; // 5. Calculate PV for each year for (var j = 0; j < cashFlows.length; j++) { var t = cashFlows[j].year; var cf = cashFlows[j].amount; // Formula: PV = CF / (1 + r)^t var discountFactor = 1 / Math.pow((1 + decimalRate), t); var pv = cf * discountFactor; totalPV += pv; // Add row to table tableHTML += ''; tableHTML += ''; tableHTML += ''; tableHTML += ''; tableHTML += ''; tableHTML += ''; } // 6. Final Calculation var npv = totalPV – investment; tableHTML += '
YearCash FlowDiscount FactorPresent Value
0 (Now)' + formatCurrency(-investment) + '1.0000' + formatCurrency(-investment) + '
' + t + '' + formatCurrency(cf) + '' + discountFactor.toFixed(4) + '' + formatCurrency(pv) + '
'; // 7. Display Results var resultBox = document.getElementById('npv-result'); var displayValue = document.getElementById('npv-display-value'); var verdictText = document.getElementById('npv-verdict-text'); var tableContainer = document.getElementById('npv-table-container'); resultBox.style.display = 'block'; displayValue.innerHTML = formatCurrency(npv); tableContainer.innerHTML = tableHTML; // Styling based on positive/negative if (npv > 0) { displayValue.className = "npv-final-value"; // Green default verdictText.innerHTML = "Good Investment: NPV is Positive"; verdictText.style.backgroundColor = "#d4edda"; verdictText.style.color = "#155724"; } else if (npv < 0) { displayValue.className = "npv-final-value negative"; verdictText.innerHTML = "Bad Investment: NPV is Negative"; verdictText.style.backgroundColor = "#f8d7da"; verdictText.style.color = "#721c24"; } else { displayValue.className = "npv-final-value"; displayValue.style.color = "#856404"; verdictText.innerHTML = "Neutral: NPV is Zero (Breakeven)"; verdictText.style.backgroundColor = "#fff3cd"; verdictText.style.color = "#856404"; } } function formatCurrency(num) { return new Intl.NumberFormat('en-US', { style: 'currency', currency: 'USD' }).format(num); }

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