Required Rate of Return Formula Calculator

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Required Rate of Return (CAPM) Calculator

Required Rate of Return (RRR)

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Understanding the Required Rate of Return (RRR)

The Required Rate of Return (RRR) is the minimum percentage of profit an investor demands for choosing to invest in a particular asset or project. In financial theory, specifically using the Capital Asset Pricing Model (CAPM), the RRR accounts for both the time value of money and the specific risk associated with the investment.

RRR = Risk-Free Rate + Beta × (Market Return – Risk-Free Rate)

Components of the Formula

  • Risk-Free Rate: This is the theoretical return on an investment with zero risk, usually represented by the yield on long-term government bonds (like the 10-year US Treasury).
  • Beta (β): This measures the sensitivity of the asset's returns compared to the overall market. A beta of 1.0 means the asset moves with the market; higher than 1.0 means it is more volatile.
  • Equity Risk Premium: This is the term (Market Return – Risk-Free Rate), representing the extra return required for taking on the risk of the stock market over a risk-free asset.

Practical Example

Suppose you are looking at a tech stock with a Beta of 1.5. If the current 10-year Treasury yield (Risk-Free Rate) is 4% and the historical average Market Return is 10%, your calculation would be:

RRR = 4% + 1.5 × (10% – 4%) = 13%

In this scenario, you should only invest in this stock if you believe it will return at least 13% annually.

Why RRR Matters

For individual investors, the RRR helps in deciding whether a stock is "worth the risk." For corporate finance managers, the RRR (often referred to as the Hurdle Rate) is used to determine if a new project or acquisition will add value to the company. If the expected return is lower than the RRR, the investment should generally be avoided.

function calculateRRR() { var rf = parseFloat(document.getElementById('riskFreeRate').value); var beta = parseFloat(document.getElementById('betaValue').value); var mr = parseFloat(document.getElementById('marketReturn').value); var resultDiv = document.getElementById('rrrResultContainer'); var display = document.getElementById('rrrDisplayValue'); var description = document.getElementById('rrrDescription'); if (isNaN(rf) || isNaN(beta) || isNaN(mr)) { alert("Please enter valid numeric values for all fields."); return; } // CAPM Formula: RRR = Rf + Beta * (Rm – Rf) var rrr = rf + (beta * (mr – rf)); display.innerHTML = rrr.toFixed(2) + "%"; var riskType = ""; if (beta > 1) { riskType = "This asset is more volatile than the market, requiring a higher premium."; } else if (beta 0) { riskType = "This asset is less volatile than the market, resulting in a lower required return."; } else if (beta === 1) { riskType = "This asset moves perfectly in line with the market."; } else { riskType = "The required return is calculated based on the provided risk parameters."; } description.innerHTML = riskType; resultDiv.style.display = "block"; // Smooth scroll to result resultDiv.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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