Calculate Required Rate of Return

Required Rate of Return Calculator

What is the Required Rate of Return?

The Required Rate of Return (RRR) is the minimum annual profit an investment must generate to be considered worthwhile. It represents the return an investor expects to receive for taking on a particular level of risk. If an investment's expected return is lower than the RRR, an investor would typically not proceed with it.

Key Components:

  • Risk-Free Rate: This is the theoretical rate of return of an investment with zero risk, typically represented by the yield on government bonds (like U.S. Treasury bonds) of a comparable maturity. It compensates investors for the time value of money.
  • Equity Risk Premium (ERP): This is the excess return that investing in the stock market provides over a risk-free rate. It's the additional compensation investors demand for taking on the higher risk of equity investments compared to risk-free assets.
  • Beta (β): Beta measures a stock's volatility or systematic risk relative to the overall market. A beta of 1 means the stock's price tends to move with the market. A beta greater than 1 indicates higher volatility than the market, and a beta less than 1 indicates lower volatility.

How it's Calculated:

The most common model for calculating the Required Rate of Return is the Capital Asset Pricing Model (CAPM).

Formula: RRR = Risk-Free Rate + (Beta × Equity Risk Premium)

In percentage terms, this becomes:

RRR (%) = Risk-Free Rate (%) + (Beta × Equity Risk Premium (%))

Example Calculation:

Let's say:

  • The current Risk-Free Rate is 3.5%.
  • The Equity Risk Premium is estimated at 5%.
  • The Beta of a specific stock is 1.2.

Using the CAPM formula:

RRR = 3.5% + (1.2 × 5%)

RRR = 3.5% + 6%

RRR = 9.5%

Therefore, an investor would require at least a 9.5% annual return from this investment to compensate them for the risk involved.

function calculateRequiredRateOfReturn() { var riskFreeRateInput = document.getElementById("riskFreeRate"); var equityRiskPremiumInput = document.getElementById("equityRiskPremium"); var betaInput = document.getElementById("beta"); var resultDiv = document.getElementById("result"); var riskFreeRate = parseFloat(riskFreeRateInput.value); var equityRiskPremium = parseFloat(equityRiskPremiumInput.value); var beta = parseFloat(betaInput.value); if (isNaN(riskFreeRate) || isNaN(equityRiskPremium) || isNaN(beta)) { resultDiv.innerHTML = "Please enter valid numbers for all fields."; return; } // CAPM formula: RRR = Risk-Free Rate + (Beta * Equity Risk Premium) var requiredRateOfReturn = riskFreeRate + (beta * equityRiskPremium); resultDiv.innerHTML = "The Required Rate of Return is: " + requiredRateOfReturn.toFixed(2) + "%"; } .calculator-container { font-family: sans-serif; max-width: 700px; margin: 20px auto; padding: 20px; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 2px 4px rgba(0,0,0,0.1); } .calculator-title { text-align: center; margin-bottom: 20px; color: #333; } .calculator-inputs { display: grid; grid-template-columns: repeat(auto-fit, minmax(200px, 1fr)); gap: 15px; margin-bottom: 20px; } .input-group { display: flex; flex-direction: column; } .input-group label { margin-bottom: 5px; font-weight: bold; color: #555; } .input-group input { padding: 10px; border: 1px solid #ccc; border-radius: 4px; font-size: 1rem; } .calculate-button { display: block; width: 100%; padding: 12px 20px; background-color: #007bff; color: white; border: none; border-radius: 4px; font-size: 1.1rem; cursor: pointer; transition: background-color 0.3s ease; } .calculate-button:hover { background-color: #0056b3; } .calculator-result { margin-top: 20px; padding: 15px; background-color: #e9ecef; border: 1px solid #ced4da; border-radius: 4px; text-align: center; font-size: 1.2rem; color: #333; } .calculator-explanation { margin-top: 30px; padding-top: 20px; border-top: 1px solid #eee; color: #444; line-height: 1.6; } .calculator-explanation h3, .calculator-explanation h4 { color: #333; margin-bottom: 10px; } .calculator-explanation ul { margin-left: 20px; margin-bottom: 10px; }

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