Calculateur AMM<\/title>\n <style>\n :root {\n --bg: #f6f8fb;\n --card: #ffffff;\n --border: #d9e0ea;\n --text: #1f2937;\n --muted: #6b7280;\n --accent: #2563eb;\n }\n * { box-sizing: border-box; }\n body {\n margin: 0;\n padding: 24px;\n font-family: Arial, Helvetica, sans-serif;\n background: var(--bg);\n color: var(--text);\n }\n .container {\n max-width: 980px;\n margin: 0 auto;\n }\n h1 {\n margin: 0 0 6px;\n font-size: 24px;\n }\n p.note {\n margin: 0 0 12px;\n color: var(--muted);\n line-height: 1.5;\n }\n .grid {\n display: grid;\n grid-template-columns: 1fr;\n gap: 12px;\n }\n .card {\n background: var(--card);\n border: 1px solid var(--border);\n border-radius: 16px;\n padding: 14px;\n box-shadow: 0 4px 14px rgba(0,0,0,0.05);\n }\n .card h2 {\n margin-top: 0;\n font-size: 20px;\n }\n .field {\n margin-bottom: 4px;\n }\n .card .field:last-child {\n margin-bottom: 0;\n }\n label {\n display: block;\n font-weight: 600;\n margin-bottom: 6px;\n }\n input:not([type=\"radio\"]), select {\n width: 100%;\n padding: 4px 8px;\n height: 28px;\n border: 1px solid var(--border);\n border-radius: 10px;\n font-size: 15px;\n background: #fff;\n }\n input:not([type=\"radio\"])[readonly] {\n background: #f9fafb;\n font-weight: 600;\n }\n .equation {\n margin-top: 12px;\n padding: 12px;\n background: #f9fafb;\n border-radius: 10px;\n font-family: \"Courier New\", monospace;\n font-size: 14px;\n line-height: 1.5;\n color: #111827;\n }\n .warning {\n margin-top: 10px;\n color: #b91c1c;\n font-size: 14px;\n min-height: 0;\n }\n .small {\n color: var(--muted);\n font-size: 13px;\n line-height: 1.45;\n }\n .result-highlight {\n font-size: 22px;\n font-weight: 700;\n color: var(--accent);\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"container\">\n <h1>Calculateur AMM \u00e0 produit constant<\/h1>\n <p class=\"note\">\n Cette application calcule le prix moyen de transaction et le prix final (prix marginal apr\u00e8s transaction)\n pour un AMM de type <strong>x \u00d7 y = k<\/strong> avec la convention suivante :\n <strong>achat<\/strong> = l’utilisateur ach\u00e8te l’actif <em>x<\/em> et paie en <em>y<\/em>,\n <strong>vente<\/strong> = l’utilisateur vend l’actif <em>x<\/em> et re\u00e7oit en <em>y<\/em>.\n <\/p>\n\n <div class=\"grid\">\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">Param\u00e8tres du pool<\/h2>\n <div class=\"field\">\n <label for=\"x0\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve initiale de l’actif x (ETH)<\/label>\n <input id=\"x0\" type=\"text\" value=\"10\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"field\">\n <label for=\"y0\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve initiale de l’actif y (USDC)<\/label>\n <input id=\"y0\" type=\"text\" value=\"20000\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <\/section>\n\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">Transaction<\/h2>\n <div class=\"field\" style=\"white-space:nowrap;\">\n <label style=\"font-weight:400; display:inline-block; margin-bottom:0; margin-right:10px;\">Direction<\/label>\n <label style=\"font-weight:400; margin-right:20px; display:inline-flex; align-items:center;\">\n <input type=\"radio\" name=\"direction\" value=\"achat\" checked style=\"margin-right:5px;\"\/> Achat\n <\/label>\n <label style=\"font-weight:400; display:inline-flex; align-items:center;\">\n <input type=\"radio\" name=\"direction\" value=\"vente\" style=\"margin-right:5px;\"\/> Vente\n <\/label>\n <\/div>\n <div class=\"field\">\n <label for=\"quantity\" style=\"font-weight:400; display:inline-block; width:60%; margin-bottom:0;\">Quantit\u00e9 \u00e9chang\u00e9e (\u0394x)<\/label>\n <input id=\"quantity\" type=\"number\" step=\"any\" value=\"1\" min=\"0\" style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"warning\" id=\"warning\"><\/div>\n <\/section>\n\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">R\u00e9sultats<\/h2>\n <div class=\"field\">\n <label for=\"avgPrice\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">Prix moyen de la transaction<\/label>\n <input id=\"avgPrice\" type=\"text\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"field\">\n <label for=\"finalPrice\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">Prix final apr\u00e8s transaction<\/label>\n <input id=\"finalPrice\" type=\"text\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"field\">\n <label for=\"cashFlow\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">Montant total \u00e9chang\u00e9<\/label>\n <input id=\"cashFlow\" type=\"text\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div id=\"resultsBox\"><\/div>\n <\/section>\n\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">Graphique<\/h2>\n <div style=\"height:260px;\">\n <canvas id=\"priceChart\"><\/canvas>\n <\/div>\n <\/section>\n <\/div>\n <\/div>\n\n <script src=\"https:\/\/cdn.jsdelivr.net\/npm\/chart.js\"><\/script>\n <script>\n const x0Input = document.getElementById('x0');\n const y0Input = document.getElementById('y0');\n const assetX = 'ETH';\n const assetY = 'USDC';\n const directionInputs = document.getElementsByName('direction');\n const quantityInput = document.getElementById('quantity');\n\n const avgPriceOutput = document.getElementById('avgPrice');\n const finalPriceOutput = document.getElementById('finalPrice');\n const cashFlowOutput = document.getElementById('cashFlow');\n\n const resultsBox = document.getElementById('resultsBox');\n const warningBox = document.getElementById('warning');\n\n function formatNumber(value, decimals = 2) {\n if (!Number.isFinite(value)) return '';\n return new Intl.NumberFormat('fr-FR', {\n minimumFractionDigits: 0,\n maximumFractionDigits: decimals\n }).format(value);\n }\n\n function calculate() {\n const x0 = parseFloat(x0Input.value);\n const y0 = parseFloat(y0Input.value);\n const q = parseFloat(quantityInput.value);\n let direction = 'achat';\n directionInputs.forEach(el => { if (el.checked) direction = el.value; });\n \n\n warningBox.textContent = '';\n avgPriceOutput.value = '';\n finalPriceOutput.value = '';\n cashFlowOutput.value = '';\n resultsBox.innerHTML = '';\n\n if (!(x0 > 0) || !(y0 > 0)) {\n warningBox.textContent = 'Les r\u00e9serves initiales doivent \u00eatre strictement positives.';\n return;\n }\n if (!(q >= 0)) {\n warningBox.textContent = 'La quantit\u00e9 doit \u00eatre positive ou nulle.';\n return;\n }\n\n const k = x0 * y0;\n\n let xPrime, yPrime, avgPrice, finalPrice, cashFlow;\n\n if (direction === 'achat') {\n if (q >= x0) {\n warningBox.textContent = 'La quantit\u00e9 achet\u00e9e doit \u00eatre strictement inf\u00e9rieure \u00e0 la r\u00e9serve initiale de x.';\n return;\n }\n xPrime = x0 - q;\n yPrime = k \/ xPrime;\n cashFlow = yPrime - y0;\n avgPrice = q === 0 ? y0 \/ x0 : cashFlow \/ q;\n finalPrice = yPrime \/ xPrime;\n cashFlowOutput.value = `${formatNumber(cashFlow)} ${assetY} pay\u00e9s`;\n } else {\n xPrime = x0 + q;\n yPrime = k \/ xPrime;\n cashFlow = y0 - yPrime;\n avgPrice = q === 0 ? y0 \/ x0 : cashFlow \/ q;\n finalPrice = yPrime \/ xPrime;\n cashFlowOutput.value = `${formatNumber(cashFlow)} ${assetY} re\u00e7us`;\n }\n\n avgPriceOutput.value = `${formatNumber(avgPrice)} ${assetY} \/ ${assetX}`;\n finalPriceOutput.value = `${formatNumber(finalPrice)} ${assetY} \/ ${assetX}`;\n\n resultsBox.innerHTML = `\n <div class=\"field\">\n <label style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve finale de l\u2019actif x (ETH)<\/label>\n <input type=\"text\" value=\"${formatNumber(xPrime)}\" readonly style=\"display:inline-block; width:35%; text-align:right; background:#f9fafb;\" \/>\n <\/div>\n <div class=\"field\">\n <label style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve finale de l\u2019actif y (USDC)<\/label>\n <input type=\"text\" value=\"${formatNumber(yPrime)}\" readonly style=\"display:inline-block; width:35%; text-align:right; background:#f9fafb;\" \/>\n <\/div>\n `;\n\n buildChart(x0, y0);\n }\n\n [x0Input, y0Input, quantityInput, ...directionInputs].forEach(el => {\n el.addEventListener('input', calculate);\n el.addEventListener('change', calculate);\n });\n\n let priceChart;\n\n function buildChart(x0, y0) {\n const quantities = [];\n const avgPrices = [];\n const finalPrices = [];\n const k = x0 * y0;\n\n for (let q = -5; q <= 5; q += 1) {\n let avgPrice;\n let finalPrice;\n\n if (q === 0) {\n avgPrice = y0 \/ x0;\n finalPrice = y0 \/ x0;\n } else if (q > 0) {\n if (q >= x0) continue;\n const xPrime = x0 - q;\n const yPrime = k \/ xPrime;\n avgPrice = (yPrime - y0) \/ q;\n finalPrice = yPrime \/ xPrime;\n } else {\n const sellQty = Math.abs(q);\n const xPrime = x0 + sellQty;\n const yPrime = k \/ xPrime;\n avgPrice = (y0 - yPrime) \/ sellQty;\n finalPrice = yPrime \/ xPrime;\n }\n\n quantities.push(q);\n avgPrices.push(Number(avgPrice.toFixed(2)));\n finalPrices.push(Number(finalPrice.toFixed(2)));\n }\n\n const ctx = document.getElementById('priceChart').getContext('2d');\n if (priceChart) priceChart.destroy();\n\n priceChart = new Chart(ctx, {\n type: 'line',\n data: {\n labels: quantities,\n datasets: [\n {\n label: 'Prix moyen de la transaction',\n data: avgPrices,\n borderWidth: 2,\n tension: 0.2,\n fill: false\n },\n {\n label: 'Prix final apr\u00e8s transaction',\n data: finalPrices,\n borderWidth: 2,\n tension: 0.2,\n fill: false\n }\n ]\n },\n options: {\n responsive: true,\n maintainAspectRatio: false,\n plugins: {\n legend: { position: 'top' }\n },\n scales: {\n x: {\n title: {\n display: true,\n text: 'Quantit\u00e9 \u00e9chang\u00e9e (\u0394x)'\n }\n },\n y: {\n title: {\n display: true,\n text: 'Prix (USDC \/ ETH)'\n }\n }\n }\n }\n });\n }\n\n calculate();\n <\/script><\/body>\n<\/html>\n\n","protected":false},"excerpt":{"rendered":"<p>Calculateur AMM Calculateur AMM \u00e0 produit constant Cette application calcule le prix moyen de transaction et le prix final (prix marginal apr\u00e8s transaction) pour un AMM de type x \u00d7 y = k avec la convention suivante : achat = l’utilisateur ach\u00e8te l’actif x et paie en y, vente = l’utilisateur vend l’actif x et … <a title=\"AMM\" class=\"read-more\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/amm\/\" aria-label=\"Read more about AMM\">Read more<\/a><\/p>\n","protected":false},"author":27,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-18306","post","type-post","status-publish","format-standard","hentry","category-contributors"],"yoast_head":"\n<title>AMM - SimTrade blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/amm\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"AMM\" \/>\n<meta property=\"og:description\" content=\"Calculateur AMM Calculateur AMM \u00e0 produit constant Cette application calcule le prix moyen de transaction et le prix final (prix marginal apr\u00e8s transaction) pour un AMM de type x \u00d7 y = k avec la convention suivante : achat = l’utilisateur ach\u00e8te l’actif x et paie en y, vente = l’utilisateur vend l’actif x et ... 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{"id":18306,"date":"2026-03-27T15:10:22","date_gmt":"2026-03-27T15:10:22","guid":{"rendered":"https:\/\/www.simtrade.fr\/blog_simtrade\/?p=18306"},"modified":"2026-04-01T21:49:41","modified_gmt":"2026-04-01T21:49:41","slug":"amm","status":"publish","type":"post","link":"https:\/\/www.simtrade.fr\/blog_simtrade\/amm\/","title":{"rendered":"AMM"},"content":{"rendered":"\n\n\n\n \n \n Calculateur AMM<\/title>\n <style>\n :root {\n --bg: #f6f8fb;\n --card: #ffffff;\n --border: #d9e0ea;\n --text: #1f2937;\n --muted: #6b7280;\n --accent: #2563eb;\n }\n * { box-sizing: border-box; }\n body {\n margin: 0;\n padding: 24px;\n font-family: Arial, Helvetica, sans-serif;\n background: var(--bg);\n color: var(--text);\n }\n .container {\n max-width: 980px;\n margin: 0 auto;\n }\n h1 {\n margin: 0 0 6px;\n font-size: 24px;\n }\n p.note {\n margin: 0 0 12px;\n color: var(--muted);\n line-height: 1.5;\n }\n .grid {\n display: grid;\n grid-template-columns: 1fr;\n gap: 12px;\n }\n .card {\n background: var(--card);\n border: 1px solid var(--border);\n border-radius: 16px;\n padding: 14px;\n box-shadow: 0 4px 14px rgba(0,0,0,0.05);\n }\n .card h2 {\n margin-top: 0;\n font-size: 20px;\n }\n .field {\n margin-bottom: 4px;\n }\n .card .field:last-child {\n margin-bottom: 0;\n }\n label {\n display: block;\n font-weight: 600;\n margin-bottom: 6px;\n }\n input:not([type=\"radio\"]), select {\n width: 100%;\n padding: 4px 8px;\n height: 28px;\n border: 1px solid var(--border);\n border-radius: 10px;\n font-size: 15px;\n background: #fff;\n }\n input:not([type=\"radio\"])[readonly] {\n background: #f9fafb;\n font-weight: 600;\n }\n .equation {\n margin-top: 12px;\n padding: 12px;\n background: #f9fafb;\n border-radius: 10px;\n font-family: \"Courier New\", monospace;\n font-size: 14px;\n line-height: 1.5;\n color: #111827;\n }\n .warning {\n margin-top: 10px;\n color: #b91c1c;\n font-size: 14px;\n min-height: 0;\n }\n .small {\n color: var(--muted);\n font-size: 13px;\n line-height: 1.45;\n }\n .result-highlight {\n font-size: 22px;\n font-weight: 700;\n color: var(--accent);\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"container\">\n <h1>Calculateur AMM \u00e0 produit constant<\/h1>\n <p class=\"note\">\n Cette application calcule le prix moyen de transaction et le prix final (prix marginal apr\u00e8s transaction)\n pour un AMM de type <strong>x \u00d7 y = k<\/strong> avec la convention suivante :\n <strong>achat<\/strong> = l’utilisateur ach\u00e8te l’actif <em>x<\/em> et paie en <em>y<\/em>,\n <strong>vente<\/strong> = l’utilisateur vend l’actif <em>x<\/em> et re\u00e7oit en <em>y<\/em>.\n <\/p>\n\n <div class=\"grid\">\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">Param\u00e8tres du pool<\/h2>\n <div class=\"field\">\n <label for=\"x0\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve initiale de l’actif x (ETH)<\/label>\n <input id=\"x0\" type=\"text\" value=\"10\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"field\">\n <label for=\"y0\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve initiale de l’actif y (USDC)<\/label>\n <input id=\"y0\" type=\"text\" value=\"20000\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <\/section>\n\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">Transaction<\/h2>\n <div class=\"field\" style=\"white-space:nowrap;\">\n <label style=\"font-weight:400; display:inline-block; margin-bottom:0; margin-right:10px;\">Direction<\/label>\n <label style=\"font-weight:400; margin-right:20px; display:inline-flex; align-items:center;\">\n <input type=\"radio\" name=\"direction\" value=\"achat\" checked style=\"margin-right:5px;\"\/> Achat\n <\/label>\n <label style=\"font-weight:400; display:inline-flex; align-items:center;\">\n <input type=\"radio\" name=\"direction\" value=\"vente\" style=\"margin-right:5px;\"\/> Vente\n <\/label>\n <\/div>\n <div class=\"field\">\n <label for=\"quantity\" style=\"font-weight:400; display:inline-block; width:60%; margin-bottom:0;\">Quantit\u00e9 \u00e9chang\u00e9e (\u0394x)<\/label>\n <input id=\"quantity\" type=\"number\" step=\"any\" value=\"1\" min=\"0\" style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"warning\" id=\"warning\"><\/div>\n <\/section>\n\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">R\u00e9sultats<\/h2>\n <div class=\"field\">\n <label for=\"avgPrice\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">Prix moyen de la transaction<\/label>\n <input id=\"avgPrice\" type=\"text\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"field\">\n <label for=\"finalPrice\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">Prix final apr\u00e8s transaction<\/label>\n <input id=\"finalPrice\" type=\"text\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div class=\"field\">\n <label for=\"cashFlow\" style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">Montant total \u00e9chang\u00e9<\/label>\n <input id=\"cashFlow\" type=\"text\" readonly style=\"display:inline-block; width:35%; text-align:right;\" \/>\n <\/div>\n <div id=\"resultsBox\"><\/div>\n <\/section>\n\n <section class=\"card\">\n <h2 style=\"font-weight:700;\">Graphique<\/h2>\n <div style=\"height:260px;\">\n <canvas id=\"priceChart\"><\/canvas>\n <\/div>\n <\/section>\n <\/div>\n <\/div>\n\n <script src=\"https:\/\/cdn.jsdelivr.net\/npm\/chart.js\"><\/script>\n <script>\n const x0Input = document.getElementById('x0');\n const y0Input = document.getElementById('y0');\n const assetX = 'ETH';\n const assetY = 'USDC';\n const directionInputs = document.getElementsByName('direction');\n const quantityInput = document.getElementById('quantity');\n\n const avgPriceOutput = document.getElementById('avgPrice');\n const finalPriceOutput = document.getElementById('finalPrice');\n const cashFlowOutput = document.getElementById('cashFlow');\n\n const resultsBox = document.getElementById('resultsBox');\n const warningBox = document.getElementById('warning');\n\n function formatNumber(value, decimals = 2) {\n if (!Number.isFinite(value)) return '';\n return new Intl.NumberFormat('fr-FR', {\n minimumFractionDigits: 0,\n maximumFractionDigits: decimals\n }).format(value);\n }\n\n function calculate() {\n const x0 = parseFloat(x0Input.value);\n const y0 = parseFloat(y0Input.value);\n const q = parseFloat(quantityInput.value);\n let direction = 'achat';\n directionInputs.forEach(el => { if (el.checked) direction = el.value; });\n \n\n warningBox.textContent = '';\n avgPriceOutput.value = '';\n finalPriceOutput.value = '';\n cashFlowOutput.value = '';\n resultsBox.innerHTML = '';\n\n if (!(x0 > 0) || !(y0 > 0)) {\n warningBox.textContent = 'Les r\u00e9serves initiales doivent \u00eatre strictement positives.';\n return;\n }\n if (!(q >= 0)) {\n warningBox.textContent = 'La quantit\u00e9 doit \u00eatre positive ou nulle.';\n return;\n }\n\n const k = x0 * y0;\n\n let xPrime, yPrime, avgPrice, finalPrice, cashFlow;\n\n if (direction === 'achat') {\n if (q >= x0) {\n warningBox.textContent = 'La quantit\u00e9 achet\u00e9e doit \u00eatre strictement inf\u00e9rieure \u00e0 la r\u00e9serve initiale de x.';\n return;\n }\n xPrime = x0 - q;\n yPrime = k \/ xPrime;\n cashFlow = yPrime - y0;\n avgPrice = q === 0 ? y0 \/ x0 : cashFlow \/ q;\n finalPrice = yPrime \/ xPrime;\n cashFlowOutput.value = `${formatNumber(cashFlow)} ${assetY} pay\u00e9s`;\n } else {\n xPrime = x0 + q;\n yPrime = k \/ xPrime;\n cashFlow = y0 - yPrime;\n avgPrice = q === 0 ? y0 \/ x0 : cashFlow \/ q;\n finalPrice = yPrime \/ xPrime;\n cashFlowOutput.value = `${formatNumber(cashFlow)} ${assetY} re\u00e7us`;\n }\n\n avgPriceOutput.value = `${formatNumber(avgPrice)} ${assetY} \/ ${assetX}`;\n finalPriceOutput.value = `${formatNumber(finalPrice)} ${assetY} \/ ${assetX}`;\n\n resultsBox.innerHTML = `\n <div class=\"field\">\n <label style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve finale de l\u2019actif x (ETH)<\/label>\n <input type=\"text\" value=\"${formatNumber(xPrime)}\" readonly style=\"display:inline-block; width:35%; text-align:right; background:#f9fafb;\" \/>\n <\/div>\n <div class=\"field\">\n <label style=\"display:inline-block; width:60%; margin-bottom:0; font-weight:400;\">R\u00e9serve finale de l\u2019actif y (USDC)<\/label>\n <input type=\"text\" value=\"${formatNumber(yPrime)}\" readonly style=\"display:inline-block; width:35%; text-align:right; background:#f9fafb;\" \/>\n <\/div>\n `;\n\n buildChart(x0, y0);\n }\n\n [x0Input, y0Input, quantityInput, ...directionInputs].forEach(el => {\n el.addEventListener('input', calculate);\n el.addEventListener('change', calculate);\n });\n\n let priceChart;\n\n function buildChart(x0, y0) {\n const quantities = [];\n const avgPrices = [];\n const finalPrices = [];\n const k = x0 * y0;\n\n for (let q = -5; q <= 5; q += 1) {\n let avgPrice;\n let finalPrice;\n\n if (q === 0) {\n avgPrice = y0 \/ x0;\n finalPrice = y0 \/ x0;\n } else if (q > 0) {\n if (q >= x0) continue;\n const xPrime = x0 - q;\n const yPrime = k \/ xPrime;\n avgPrice = (yPrime - y0) \/ q;\n finalPrice = yPrime \/ xPrime;\n } else {\n const sellQty = Math.abs(q);\n const xPrime = x0 + sellQty;\n const yPrime = k \/ xPrime;\n avgPrice = (y0 - yPrime) \/ sellQty;\n finalPrice = yPrime \/ xPrime;\n }\n\n quantities.push(q);\n avgPrices.push(Number(avgPrice.toFixed(2)));\n finalPrices.push(Number(finalPrice.toFixed(2)));\n }\n\n const ctx = document.getElementById('priceChart').getContext('2d');\n if (priceChart) priceChart.destroy();\n\n priceChart = new Chart(ctx, {\n type: 'line',\n data: {\n labels: quantities,\n datasets: [\n {\n label: 'Prix moyen de la transaction',\n data: avgPrices,\n borderWidth: 2,\n tension: 0.2,\n fill: false\n },\n {\n label: 'Prix final apr\u00e8s transaction',\n data: finalPrices,\n borderWidth: 2,\n tension: 0.2,\n fill: false\n }\n ]\n },\n options: {\n responsive: true,\n maintainAspectRatio: false,\n plugins: {\n legend: { position: 'top' }\n },\n scales: {\n x: {\n title: {\n display: true,\n text: 'Quantit\u00e9 \u00e9chang\u00e9e (\u0394x)'\n }\n },\n y: {\n title: {\n display: true,\n text: 'Prix (USDC \/ ETH)'\n }\n }\n }\n }\n });\n }\n\n calculate();\n <\/script><\/body>\n<\/html>\n\n","protected":false},"excerpt":{"rendered":"<p>Calculateur AMM Calculateur AMM \u00e0 produit constant Cette application calcule le prix moyen de transaction et le prix final (prix marginal apr\u00e8s transaction) pour un AMM de type x \u00d7 y = k avec la convention suivante : achat = l’utilisateur ach\u00e8te l’actif x et paie en y, vente = l’utilisateur vend l’actif x et … <a title=\"AMM\" class=\"read-more\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/amm\/\" aria-label=\"Read more about AMM\">Read more<\/a><\/p>\n","protected":false},"author":27,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-18306","post","type-post","status-publish","format-standard","hentry","category-contributors"],"yoast_head":"\n<title>AMM - SimTrade blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/amm\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"AMM\" \/>\n<meta property=\"og:description\" content=\"Calculateur AMM Calculateur AMM \u00e0 produit constant Cette application calcule le prix moyen de transaction et le prix final (prix marginal apr\u00e8s transaction) pour un AMM de type x \u00d7 y = k avec la convention suivante : achat = l’utilisateur ach\u00e8te l’actif x et paie en y, vente = l’utilisateur vend l’actif x et ... 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