Portfolio Alpha (α) & Beta (β) Calculator

Enter Portfolio Holdings

Add each asset in your portfolio, its current market value, and its individual Beta relative to your chosen market benchmark.

Market & Portfolio Return Data

Enter the annualized returns and risk-free rate for the period corresponding to your portfolio and asset betas.

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%
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Alpha (α) & Beta (β) Results

Please input data in the previous tabs and click "Calculate Alpha & Beta".

Portfolio Beta (βp) = Sum of (Asset Weight * Asset Beta).
Expected Return (CAPM) = Rf + βp * (Rm - Rf).
Portfolio Alpha (α) = Actual Portfolio Return (Rp) - Expected Return (CAPM).
(Rp, Rf, Rm are annualized percentage inputs).

${isNaN(expectedReturnCAPM) ? 'N/A' : expectedReturnCAPM.toFixed(2) + ' %'}

Portfolio Alpha (α)

${isNaN(alpha) ? 'N/A' : alpha.toFixed(2) + ' %'}

Holdings Breakdown for Beta Calculation

`; this.holdingsData.forEach(h => { resultsHtml += ` `; }); resultsHtml += `
Asset Name Value Invested ($) Weight (%) Asset Beta (β) Weighted Beta
${h.name} ${h.value.toLocaleString(undefined, {minimumFractionDigits:2, maximumFractionDigits:2})} ${(h.weight * 100).toFixed(2)} ${h.beta.toFixed(3)} ${h.weightedBeta.toFixed(3)}
Total / Weighted Average ${this.calculatedResults.totalPortfolioValue.toLocaleString(undefined, {minimumFractionDigits:2, maximumFractionDigits:2})} 100.00 ${isNaN(portfolioBeta) ? 'N/A' : portfolioBeta.toFixed(3)}
`; this.elements.resultsArea.innerHTML = resultsHtml; }, generatePDF: async function() { if (!window.jspdf || !window.html2canvas) { alert('PDF generation library is not loaded.'); return; } if (Object.keys(this.calculatedResults).length === 0 || isNaN(this.calculatedResults.portfolioBeta)) { alert('Please calculate Alpha & Beta first with valid data.'); return; } await new Promise(resolve => setTimeout(resolve, 50)); const { portfolioBeta, expectedReturnCAPM, alpha, totalPortfolioValue } = this.calculatedResults; const rp = this.getFloat(this.elements.actualPortfolioReturnInput.value, true); const rf = this.getFloat(this.elements.riskFreeRateInput.value, true); const rm = this.getFloat(this.elements.marketReturnInput.value, true); const pdfExportContainer = document.createElement('div'); pdfExportContainer.classList.add('ab-pdf-export-content'); pdfExportContainer.style.width = '800px'; let pdfHtml = `

Portfolio Alpha (α) & Beta (β) Report

`; pdfHtml += `

Summary Results

`; pdfHtml += `
`; pdfHtml += `
Portfolio Beta (βp): ${isNaN(portfolioBeta) ? 'N/A' : portfolioBeta.toFixed(3)}
`; pdfHtml += `
Expected Return (CAPM): ${isNaN(expectedReturnCAPM) ? 'N/A' : expectedReturnCAPM.toFixed(2)}
`; pdfHtml += `
Portfolio Alpha (α): ${isNaN(alpha) ? 'N/A' : alpha.toFixed(2)}
`; pdfHtml += `
`; pdfHtml += `

Market & Portfolio Inputs (Annualized)

`; pdfHtml += `

Actual Portfolio Return (Rp): ${rp !== null ? rp.toFixed(2) : 'N/A'} %

`; pdfHtml += `

Risk-Free Rate (Rf): ${rf !== null ? rf.toFixed(2) : 'N/A'} %

`; pdfHtml += `

Market Return (Rm): ${rm !== null ? rm.toFixed(2) : 'N/A'} %

`; pdfHtml += `

Holdings Breakdown for Beta Calculation

`; const tableClone = this.elements.resultsArea.querySelector('.ab-results-table').cloneNode(true); tableClone.style.fontSize = '8pt'; pdfHtml += tableClone.outerHTML; pdfHtml += `
Portfolio Beta (βp) = Sum of (Asset Weight * Asset Beta).
Expected Return (CAPM) = Rf + βp * (Rm - Rf).
Portfolio Alpha (α) = Actual Portfolio Return (Rp) - Expected Return (CAPM).
`; pdfExportContainer.innerHTML = pdfHtml; document.body.appendChild(pdfExportContainer); try { const canvas = await html2canvas(pdfExportContainer, { scale: 1.5, useCORS: true, logging: false }); document.body.removeChild(pdfExportContainer); const imgData = canvas.toDataURL('image/png'); const { jsPDF } = window.jspdf; const pdf = new jsPDF({ orientation: 'p', unit: 'pt', format: 'a4' }); const pdfWidth = pdf.internal.pageSize.getWidth(); const pdfHeight = pdf.internal.pageSize.getHeight(); const imgProps = pdf.getImageProperties(imgData); const imgWidth = pdfWidth - 40; const imgHeight = (imgProps.height * imgWidth) / imgProps.width; let heightLeft = imgHeight; let position = 20; pdf.addImage(imgData, 'PNG', 20, position, imgWidth, imgHeight); heightLeft -= (pdfHeight - 40); while (heightLeft > 0) { position = heightLeft - imgHeight; pdf.addPage(); pdf.addImage(imgData, 'PNG', 20, position, imgWidth, imgHeight); heightLeft -= (pdfHeight - 40); } pdf.save('Portfolio_Alpha_Beta_Report.pdf'); } catch (error) { console.error("Error generating PDF:", error); alert("An error occurred while generating the PDF."); if (document.body.contains(pdfExportContainer)) document.body.removeChild(pdfExportContainer); } } }; document.addEventListener('DOMContentLoaded', function() { abApp.init(); });

Understanding your investment portfolio goes beyond just knowing its total value. To truly gauge its performance and risk, you need to look at key metrics like Alpha (α) and Beta (β). This is exactly what the Portfolio Alpha & Beta Calculator on WorkTool.com is designed for. It’s a straightforward, easy-to-use tool that helps everyday investors and financial enthusiasts alike dissect their portfolio’s relationship with the broader market and evaluate the effectiveness of their investment choices. You don’t need to be a financial expert to use it; we’ve made sure the process is clear and the insights are actionable.

At its heart, this calculator helps you answer two fundamental questions: How much does my portfolio move with the market (Beta)? And am I generating returns above what the market delivers (Alpha)? Beta is a measure of your portfolio’s volatility or systematic risk compared to the overall market. If your portfolio has a Beta of 1, it generally moves in line with the market. A Beta greater than 1 indicates it’s more volatile, meaning it tends to move more dramatically than the market, while a Beta less than 1 suggests it’s less volatile. Understanding your portfolio’s Beta is crucial for assessing its risk profile and how it might react to market swings.

Alpha, on the other hand, measures the “excess return” of your portfolio relative to a chosen benchmark, after accounting for its risk (Beta). Simply put, a positive Alpha means your portfolio has outperformed its benchmark, suggesting successful investment decisions or skillful management. A negative Alpha indicates underperformance. For many investors, achieving positive Alpha is the ultimate goal, as it signifies that their strategy or their fund manager is adding real value beyond simply riding market movements. Our calculator simplifies the complex calculations required to derive these crucial figures, presenting you with clear results that empower you to make more informed investment decisions.

Using the Portfolio Alpha & Beta Calculator is a simple, step-by-step process. You’ll start by entering the individual holdings within your portfolio, specifying the value you’ve invested in each asset and its individual Beta. If you don’t know the individual Beta for each asset, you can often find this information from financial data providers. Once your holdings are entered, the tool guides you to input the historical returns for your portfolio and the market benchmark over a specific period. This data allows the calculator to accurately assess your Alpha. The final step provides you with a clear summary of your portfolio’s overall Beta and Alpha, giving you a powerful snapshot of its risk characteristics and performance against the market.

Whether you’re looking to rebalance your portfolio to achieve a specific risk level, evaluate a fund manager’s performance, or simply gain a deeper understanding of your own investment strategy, this tool provides the clarity you need. It helps you understand if your investments are truly working for you, allowing you to fine-tune your approach for potentially better future outcomes. By making these sophisticated financial metrics accessible, the Portfolio Alpha & Beta Calculator puts the power of informed decision-making directly into your hands, helping you navigate the complexities of the investment world with greater confidence.

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