Cross Rate Calculation

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Forex Cross Rate Calculator .crc-container { font-family: 'Segoe UI', Roboto, Helvetica, Arial, sans-serif; max-width: 800px; margin: 0 auto; padding: 20px; color: #333; line-height: 1.6; } .crc-calculator-card { background: #ffffff; border: 1px solid #e0e0e0; border-radius: 8px; padding: 30px; box-shadow: 0 4px 6px rgba(0,0,0,0.05); margin-bottom: 40px; } .crc-header { text-align: center; margin-bottom: 25px; color: #2c3e50; } .crc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 20px; margin-bottom: 20px; } @media (max-width: 600px) { .crc-grid { grid-template-columns: 1fr; } } .crc-input-group { margin-bottom: 15px; } .crc-input-group label { display: block; font-weight: 600; margin-bottom: 8px; color: #555; font-size: 0.95em; } .crc-input-group input, .crc-input-group select { width: 100%; padding: 12px; border: 1px solid #ccc; border-radius: 4px; font-size: 16px; box-sizing: border-box; } .crc-input-group input:focus, .crc-input-group select:focus { border-color: #3498db; outline: none; box-shadow: 0 0 0 2px rgba(52, 152, 219, 0.2); } .crc-help-text { font-size: 0.85em; color: #666; margin-top: 5px; font-style: italic; } .crc-btn { display: block; width: 100%; background-color: #2c3e50; color: white; padding: 15px; border: none; border-radius: 4px; font-size: 18px; font-weight: bold; cursor: pointer; transition: background-color 0.3s; margin-top: 10px; } .crc-btn:hover { background-color: #34495e; } .crc-result-box { margin-top: 25px; background-color: #f8f9fa; border-left: 5px solid #2ecc71; padding: 20px; display: none; } .crc-result-label { font-size: 14px; color: #7f8c8d; text-transform: uppercase; letter-spacing: 1px; } .crc-result-value { font-size: 32px; font-weight: 700; color: #2c3e50; margin: 10px 0; } .crc-article { background: #fff; padding: 20px; border-top: 1px solid #eee; } .crc-article h2 { color: #2c3e50; border-bottom: 2px solid #3498db; padding-bottom: 10px; margin-top: 30px; } .crc-article h3 { color: #34495e; margin-top: 20px; } .crc-article ul { padding-left: 20px; } .crc-article li { margin-bottom: 10px; } .crc-formula { background: #f1f1f1; padding: 10px; border-radius: 4px; font-family: monospace; margin: 10px 0; }

Forex Cross Rate Calculator

Multiplying (e.g., A/B × B/C = A/C) Dividing: Rate 1 / Rate 2 (e.g., [A/C] ÷ [B/C] = A/B) Dividing: Rate 2 / Rate 1 (e.g., [C/B] ÷ [C/A] = A/B)
Use this when you have pairs like EUR/USD and USD/JPY to find EUR/JPY.
Calculated Cross Rate
0.0000

What is a Cross Rate?

In the world of foreign exchange (Forex), a Cross Rate is the currency exchange rate between two currencies, both of which are not the official currency of the country in which the exchange quote is given. More commonly in trading, it refers to a currency pair that does not involve the US Dollar (USD).

Since the US Dollar is the primary reserve currency, most major pairs are quoted against it (e.g., EUR/USD, USD/JPY). To find the value of the Euro against the Japanese Yen (EUR/JPY) without a direct market quote, you calculate the "Cross Rate" derived from the two pairs that share the US Dollar as a common currency.

How to Calculate Cross Rates

The calculation depends on the position of the common currency (usually USD) in the two pairs you have available. There are three main scenarios:

1. The Multiplication Method

Use this method when the common currency is the Quote currency in the first pair and the Base currency in the second pair (or vice versa). The common currency effectively "cancels out."

Formula: (Currency A / USD) × (USD / Currency B) = Currency A / Currency B

Example: You want to find EUR/JPY.

  • You have EUR/USD (1.1000)
  • You have USD/JPY (135.00)
  • Calculation: 1.1000 × 135.00 = 148.50 (EUR/JPY)

2. The Division Method (Base/Base)

Use this when the common currency is the Base currency for both pairs.

Formula: (USD / Currency B) ÷ (USD / Currency A) = Currency A / Currency B

Example: You want to find CHF/JPY (Swiss Franc to Yen).

  • You have USD/JPY (135.00)
  • You have USD/CHF (0.9200)
  • Calculation: 135.00 ÷ 0.9200 = 146.74 (CHF/JPY)

3. The Division Method (Quote/Quote)

Use this when the common currency is the Quote currency for both pairs.

Formula: (Currency A / USD) ÷ (Currency B / USD) = Currency A / Currency B

Example: You want to find EUR/GBP.

  • You have EUR/USD (1.1000)
  • You have GBP/USD (1.2500)
  • Calculation: 1.1000 ÷ 1.2500 = 0.8800 (EUR/GBP)

Why Use a Cross Rate Calculator?

While trading platforms calculate these automatically, understanding the mechanics is crucial for arbitrage strategies and understanding liquidity. Sometimes, calculating the synthetic cross rate manually can reveal discrepancies between the direct market price of a cross pair and its theoretical value derived from the majors, offering potential trading opportunities.

function updateLabels() { var method = document.getElementById('calcMethod').value; var helpText = document.getElementById('methodHelp'); var l1 = document.getElementById('labelRate1'); var l2 = document.getElementById('labelRate2'); if (method === 'multiply') { helpText.innerHTML = "Use this for pairs where the common currency cancels out diagonally. Example: EUR/USD and USD/JPY."; l1.innerHTML = "Base/Common Rate (e.g., EUR/USD)"; l2.innerHTML = "Common/Quote Rate (e.g., USD/JPY)"; } else if (method === 'divide1') { helpText.innerHTML = "Use this when the common currency is the Quote for both. Example: Find EUR/GBP using EUR/USD and GBP/USD."; l1.innerHTML = "Target Base Pair (e.g., EUR/USD)"; l2.innerHTML = "Target Quote Pair (e.g., GBP/USD)"; } else if (method === 'divide2') { helpText.innerHTML = "Use this when the common currency is the Base for both. Example: Find CHF/JPY using USD/CHF and USD/JPY."; l1.innerHTML = "Pair A (e.g., USD/CHF)"; l2.innerHTML = "Pair B (e.g., USD/JPY)"; } } function calculateCrossRate() { var r1 = parseFloat(document.getElementById('rate1').value); var r2 = parseFloat(document.getElementById('rate2').value); var method = document.getElementById('calcMethod').value; var resultDisplay = document.getElementById('crcResult'); var finalRateElement = document.getElementById('finalRate'); var pathDisplay = document.getElementById('calculationPath'); // Reset display resultDisplay.style.display = 'none'; // Validation if (isNaN(r1) || isNaN(r2)) { alert("Please enter valid numeric exchange rates for both fields."); return; } if (r1 <= 0 || r2 <= 0) { alert("Exchange rates must be greater than zero."); return; } var result = 0; var formulaText = ""; if (method === 'multiply') { result = r1 * r2; formulaText = "Formula used: Rate 1 × Rate 2"; } else if (method === 'divide1') { result = r1 / r2; formulaText = "Formula used: Rate 1 ÷ Rate 2"; } else if (method === 'divide2') { result = r2 / r1; formulaText = "Formula used: Rate 2 ÷ Rate 1 (Inverse Division)"; } // Standard Forex precision is usually 4 or 2 decimals (JPY), we'll use 5 for precision finalRateElement.innerHTML = result.toFixed(5); pathDisplay.innerHTML = formulaText; resultDisplay.style.display = 'block'; } // Initialize labels on load updateLabels();

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