Weighted Average Price Calculation

Weighted Average Price Calculation Calculator | Accurate Weighted Average Price Calculation Tool body {font-family: "Segoe UI", Arial, sans-serif; background:#f8f9fa; color:#1c1f23; margin:0; padding:0; line-height:1.6;} header, main, footer {width:100%;} .container {max-width:1040px; margin:0 auto; padding:24px;} .loan-calc-container {background:#fff; padding:20px; border:1px solid #dbe2ea; border-radius:10px; box-shadow:0 4px 12px rgba(0,0,0,0.06); margin-bottom:24px;} h1 {color:#004a99; margin-top:0;} h2 {color:#004a99; margin-top:32px;} h3 {color:#0f3260; margin-top:24px;} .input-group {margin-bottom:16px;} .input-group label {display:block; font-weight:600; color:#0f3260; margin-bottom:6px;} .input-group input {width:100%; padding:10px; border:1px solid #c8d2de; border-radius:6px; font-size:15px;} .helper {font-size:12px; color:#6c757d; margin-top:4px;} .error {font-size:12px; color:#c0392b; margin-top:4px; min-height:14px;} .button-row {display:flex; gap:10px; margin-top:12px; flex-wrap:wrap;} button {background:#004a99; color:#fff; border:none; padding:10px 16px; border-radius:6px; cursor:pointer; font-size:15px; box-shadow:0 2px 6px rgba(0,0,0,0.12);} button:hover {background:#003d7d;} button.reset {background:#6c757d;} button.copy {background:#28a745;} .results {margin-top:18px; padding:16px; border:1px solid #dbe2ea; border-radius:10px; background:#eef4fb;} .primary-result {background:#004a99; color:#fff; padding:14px; border-radius:10px; font-size:22px; font-weight:700; text-align:center; margin-bottom:12px;} .intermediate {display:flex; flex-direction:column; gap:8px;} .intermediate div {background:#fff; border:1px solid #dbe2ea; padding:10px; border-radius:8px;} .explanation {background:#fff; border:1px solid #dbe2ea; padding:12px; border-radius:10px; margin-top:10px; font-size:14px;} table {width:100%; border-collapse:collapse; margin-top:12px; background:#fff;} th, td {border:1px solid #dbe2ea; padding:10px; text-align:left;} th {background:#004a99; color:#fff;} caption {caption-side:top; font-weight:700; color:#0f3260; margin-bottom:6px;} .chart-wrap {margin-top:16px; background:#fff; border:1px solid #dbe2ea; border-radius:10px; padding:12px;} .legend {display:flex; gap:12px; margin-top:8px; font-size:14px;} .legend span {display:flex; align-items:center; gap:6px;} .legend i {width:14px; height:14px; display:inline-block; border-radius:3px;} ul {padding-left:18px;} a {color:#004a99; text-decoration:none;} a:hover {text-decoration:underline;}

Weighted Average Price Calculation Calculator

This weighted average price calculation tool lets you combine multiple prices and quantities to find a precise volume-weighted cost, track how each item drives the final weighted average price calculation, and visualize quantity and cost contributions instantly.

Weighted Average Price Calculation Inputs

Enter up to three line items to compute a real-time weighted average price calculation with volume weighting and cumulative cost visuals.

Cost per unit for item 1 (non-negative)
Volume or units purchased for item 1
Cost per unit for item 2 (non-negative)
Volume or units purchased for item 2
Cost per unit for item 3 (non-negative)
Volume or units purchased for item 3
Weighted Average Price: 0.00
Total Quantity: 0
Total Cost: 0
Simple Average Price: 0
Largest Cost Share: 0%
Formula: weighted average price calculation = (Σ price × quantity) ÷ (Σ quantity). This weights each price by its volume to avoid distortion from outliers.
Quantity per Item Total Cost per Item
Chart shows how each item's quantity and cost affect the weighted average price calculation.
Item Breakdown for Weighted Average Price Calculation
Item Unit Price Quantity Line Cost (Price × Quantity) Cost Weight %

What is Weighted Average Price Calculation?

The weighted average price calculation combines multiple transaction prices and quantities to produce a single representative price that reflects real volume. Investors use weighted average price calculation to evaluate trade execution quality, procurement teams use weighted average price calculation to measure supplier efficiency, and operators rely on weighted average price calculation to smooth out volatile unit costs. A common misconception is that a simple average is enough, but weighted average price calculation is superior because it respects how many units were bought at each price.

Weighted Average Price Calculation Formula and Mathematical Explanation

The core weighted average price calculation formula is straightforward: add up every price multiplied by its corresponding quantity and divide by the total quantity. This weighted average price calculation ensures each price carries influence proportional to its volume, preventing small, extreme prices from skewing the outcome.

Derivation steps for weighted average price calculation: multiply each price by its quantity to get cost, sum all costs, sum all quantities, then divide summed costs by summed quantities. Variables in weighted average price calculation stay linear, so scaling volumes scales results predictably.

Variables in the Weighted Average Price Calculation Formula
VariableMeaningUnitTypical Range
PUnit price for each item in weighted average price calculationCurrency per unit0.01 to 10,000
QQuantity or volume for weighted average price calculationUnits0.01 to 1,000,000
Σ(P×Q)Total cost used in weighted average price calculationCurrencyVariable
ΣQTotal quantity in weighted average price calculationUnitsVariable
PwFinal weighted average price calculation resultCurrency per unit0.01 to 10,000

Practical Examples (Real-World Use Cases)

Example 1: Inventory Purchase

A retailer buys 300 units at 8.50, 500 units at 7.90, and 200 units at 9.10. The weighted average price calculation multiplies each price by quantity (2550, 3950, 1820) for a total cost of 8320 and total quantity of 1000. Weighted average price calculation gives 8.32 per unit, guiding inventory valuation and margin planning.

Anchoring to internal expertise, see average cost method for aligning weighted average price calculation with inventory accounting.

Example 2: Equity Trade Execution

A trader buys 2,000 shares at 24.10, 1,200 shares at 24.40, and 800 shares at 23.90. Weighted average price calculation produces (48,200 + 29,280 + 19,120) ÷ 4,000 = 24.15. This weighted average price calculation benchmarks execution quality versus VWAP and helps decide whether to rebalance.

For portfolio context, explore portfolio rebalancing and risk-adjusted return to pair with weighted average price calculation.

How to Use This Weighted Average Price Calculation Calculator

  1. Enter each unit price and quantity; keep zero for unused lines.
  2. Watch real-time weighted average price calculation update and review the primary result block.
  3. Check intermediate totals to confirm total cost and total quantity align with your data.
  4. Review the table to see each line's cost share within the weighted average price calculation.
  5. Read the chart: blue bars show quantities, green bars show line costs driving the weighted average price calculation.
  6. Copy results to share assumptions, then adjust inputs to test scenarios.

To learn how weighted average price calculation interacts with profitability, visit unit economics resources.

Key Factors That Affect Weighted Average Price Calculation Results

  • Volume mix: heavier quantities pull the weighted average price calculation toward their prices.
  • Price dispersion: wider price gaps increase sensitivity of weighted average price calculation to volume shifts.
  • Timing of buys: earlier vs. later purchases can change weights; pair weighted average price calculation with dollar cost averaging.
  • Fees and taxes: per-unit costs alter effective price inputs in weighted average price calculation.
  • Currency shifts: FX changes affect cross-border weighted average price calculation.
  • Quality differentials: higher-grade items may justify higher prices; reflect this in weighted average price calculation weights.
  • Rebates or discounts: net prices change the weighted average price calculation baseline.
  • Inventory turnover: fast turns reduce lag between weighted average price calculation and market prices; see inventory turnover.

Frequently Asked Questions (FAQ)

Is weighted average price calculation better than a simple average? Weighted average price calculation is better when quantities differ because it respects volume.

Can weighted average price calculation handle zero quantities? Yes, zero quantities simply remove weight in weighted average price calculation.

What if total quantity is zero? Weighted average price calculation cannot divide by zero; the calculator shows zero until quantities exist.

Should fees be included? Include fees in unit price so weighted average price calculation reflects all-in cost.

Does weighted average price calculation work for services? Yes, any scenario with price and quantity uses weighted average price calculation.

How does weighted average price calculation compare to VWAP? VWAP is a time-based trading metric; weighted average price calculation is the same concept without time weighting.

Can weighted average price calculation be negative? Not if prices and quantities are non-negative; negative inputs would distort weighted average price calculation.

How often should I recalc? Recalculate weighted average price calculation whenever new purchases occur.

Related Tools and Internal Resources

Explore more resources that complement weighted average price calculation:

Use this weighted average price calculation tool to keep pricing decisions transparent and data-driven.

var defaultValues = { price1: 8.5, qty1: 300, price2: 7.9, qty2: 500, price3: 9.1, qty3: 200 }; function parseInput(id, errorId) { var el = document.getElementById(id); var val = parseFloat(el.value); var errorEl = document.getElementById(errorId); if (el.value === "") { errorEl.textContent = "Value required"; return null; } if (isNaN(val)) { errorEl.textContent = "Enter a valid number"; return null; } if (val < 0) { errorEl.textContent = "Must be zero or greater"; return null; } errorEl.textContent = ""; return val; } function calculate() { var priceIds = ["price1","price2","price3"]; var qtyIds = ["qty1","qty2","qty3"]; var prices = []; var qtys = []; var valid = true; for (var i = 0; i < priceIds.length; i++) { var p = parseInput(priceIds[i], "err_" + priceIds[i]); var q = parseInput(qtyIds[i], "err_" + qtyIds[i]); if (p === null || q === null) { valid = false; } prices.push(p); qtys.push(q); } if (!valid) { updateOutputs(0,0,0,0, prices, qtys); return; } var totalCost = 0; var totalQty = 0; for (var j = 0; j 0 ? totalCost / totalQty : 0; var simpleAvg = (prices[0] + prices[1] + prices[2]) / 3; var maxCostShare = 0; if (totalCost > 0) { for (var k = 0; k maxCostShare) { maxCostShare = share; } } } updateOutputs(weightedAvg, totalCost, totalQty, simpleAvg, prices, qtys, maxCostShare); } function updateOutputs(weightedAvg, totalCost, totalQty, simpleAvg, prices, qtys, maxCostShare) { var mainResultEl = document.getElementById("mainResult"); mainResultEl.textContent = "Weighted Average Price: " + weightedAvg.toFixed(4); document.getElementById("totalQuantity").textContent = "Total Quantity: " + totalQty.toFixed(2); document.getElementById("totalCost").textContent = "Total Cost: " + totalCost.toFixed(2); document.getElementById("simpleAverage").textContent = "Simple Average Price: " + simpleAvg.toFixed(4); document.getElementById("maxContribution").textContent = "Largest Cost Share: " + (maxCostShare ? maxCostShare.toFixed(2) : 0).toString() + "%"; document.getElementById("formulaExplanation").textContent = "Formula: weighted average price calculation = (Σ price × quantity) ÷ (Σ quantity). In this scenario, the total cost is " + totalCost.toFixed(2) + " across " + totalQty.toFixed(2) + " units, so each price is weighted by its volume."; updateTable(prices, qtys, totalCost); drawChart(prices, qtys); } function updateTable(prices, qtys, totalCost) { var tbody = document.getElementById("tableBody"); tbody.innerHTML = ""; for (var i = 0; i 0 ? (cost / totalCost * 100) : 0; row.innerHTML = "Item " + (i+1) + "" + prices[i].toFixed(2) + "" + qtys[i].toFixed(2) + "" + cost.toFixed(2) + "" + share.toFixed(2) + "%"; tbody.appendChild(row); } } function drawChart(prices, qtys) { var canvas = document.getElementById("priceChart"); var ctx = canvas.getContext("2d"); ctx.clearRect(0,0,canvas.width,canvas.height); var padding = 50; var barWidth = 60; var gap = 50; var maxQty = Math.max(qtys[0], qtys[1], qtys[2], 1); var costs = [prices[0]*qtys[0], prices[1]*qtys[1], prices[2]*qtys[2]]; var maxCost = Math.max(costs[0], costs[1], costs[2], 1); var maxValue = Math.max(maxQty, maxCost); for (var i = 0; i < 4; i++) { var y = padding + ((canvas.height – padding*2) / 3) * i; ctx.strokeStyle = "#e4ebf3"; ctx.beginPath(); ctx.moveTo(padding, y); ctx.lineTo(canvas.width – padding, y); ctx.stroke(); } for (var j = 0; j < 3; j++) { var xBase = padding + j * (barWidth*2 + gap); var qtyHeight = (qtys[j] / maxValue) * (canvas.height – padding*2); ctx.fillStyle = "#004a99"; ctx.fillRect(xBase, canvas.height – padding – qtyHeight, barWidth, qtyHeight); var costHeight = (costs[j] / maxValue) * (canvas.height – padding*2); ctx.fillStyle = "#28a745"; ctx.fillRect(xBase + barWidth, canvas.height – padding – costHeight, barWidth, costHeight); ctx.fillStyle = "#1c1f23"; ctx.fillText("Item " + (j+1), xBase, canvas.height – padding + 16); } } function resetForm() { document.getElementById("price1").value = defaultValues.price1; document.getElementById("qty1").value = defaultValues.qty1; document.getElementById("price2").value = defaultValues.price2; document.getElementById("qty2").value = defaultValues.qty2; document.getElementById("price3").value = defaultValues.price3; document.getElementById("qty3").value = defaultValues.qty3; document.getElementById("err_price1").textContent = ""; document.getElementById("err_qty1").textContent = ""; document.getElementById("err_price2").textContent = ""; document.getElementById("err_qty2").textContent = ""; document.getElementById("err_price3").textContent = ""; document.getElementById("err_qty3").textContent = ""; calculate(); } function copyResults() { var text = document.getElementById("mainResult").textContent + "\n" + document.getElementById("totalQuantity").textContent + "\n" + document.getElementById("totalCost").textContent + "\n" + document.getElementById("simpleAverage").textContent + "\n" + document.getElementById("maxContribution").textContent + "\n" + document.getElementById("formulaExplanation").textContent; if (navigator && navigator.clipboard && navigator.clipboard.writeText) { navigator.clipboard.writeText(text); } else { var temp = document.createElement("textarea"); temp.value = text; document.body.appendChild(temp); temp.select(); try { document.execCommand("copy"); } catch(e) {} document.body.removeChild(temp); } } window.onload = function() { resetForm(); };

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