Capm Required Rate of Return Calculator

What is the Capital Asset Pricing Model (CAPM)?

The Capital Asset Pricing Model (CAPM) is a financial model used to determine the theoretically appropriate required rate of return of an asset. It is a widely used tool in finance for estimating the expected return on an investment, considering its risk relative to the overall market.

The CAPM Formula

The CAPM formula is expressed as:

Expected Return = Risk-Free Rate + Beta * (Expected Market Return – Risk-Free Rate)

  • Risk-Free Rate: This represents the theoretical return of an investment with zero risk. It is typically approximated by the yield on long-term government bonds, such as U.S. Treasury bonds.
  • Beta (β): Beta measures the volatility, or systematic risk, of a security or portfolio compared to the market as a whole. A beta of 1 indicates that the security's price will move with the market. A beta greater than 1 suggests the stock is more volatile than the market, and a beta less than 1 indicates it is less volatile.
  • Expected Market Return: This is the anticipated return of the overall stock market (e.g., an index like the S&P 500) over a specific period.
  • (Expected Market Return – Risk-Free Rate): This difference is known as the Equity Market Premium (EMP) or Market Risk Premium. It represents the additional return investors expect to receive for taking on the risk of investing in the stock market compared to a risk-free asset.

How to Use the CAPM Calculator

To calculate the required rate of return using the CAPM, you will need to input the following values:

  1. Risk-Free Rate: Enter the current yield of a long-term government bond (as a decimal or percentage).
  2. Beta: Enter the beta value for the specific asset you are analyzing.
  3. Expected Market Return: Enter the anticipated return for the overall market (as a decimal or percentage).

The calculator will then use these inputs to compute the estimated required rate of return for the asset.

Importance of CAPM

The CAPM is a fundamental concept in finance and is used for several purposes:

  • Investment Decisions: It helps investors determine if an asset's expected return is sufficient to justify its risk. If the expected return is higher than the CAPM-calculated required return, the asset may be considered undervalued.
  • Cost of Equity: Companies use CAPM to estimate their cost of equity, which is a component of their overall cost of capital.
  • Performance Evaluation: It can be used to evaluate the performance of investment managers by comparing the actual return of a portfolio against its CAPM-predicted return.

It's important to note that CAPM is a model and relies on several assumptions. The inputs, particularly the expected market return and beta, are estimates and can vary. Therefore, the output should be considered an approximation rather than an exact figure.

CAPM Required Rate of Return Calculator









Required Rate of Return: %

function calculateRequiredReturn() { var riskFreeRateInput = document.getElementById("riskFreeRate").value; var betaInput = document.getElementById("beta").value; var expectedMarketReturnInput = document.getElementById("expectedMarketReturn").value; var resultElement = document.getElementById("requiredReturn"); // Clear previous result resultElement.innerHTML = "–"; // Validate inputs if (riskFreeRateInput === "" || betaInput === "" || expectedMarketReturnInput === "") { alert("Please fill in all fields."); return; } var riskFreeRate = parseFloat(riskFreeRateInput); var beta = parseFloat(betaInput); var expectedMarketReturn = parseFloat(expectedMarketReturnInput); if (isNaN(riskFreeRate) || isNaN(beta) || isNaN(expectedMarketReturn)) { alert("Please enter valid numbers for all fields."); return; } // CAPM Formula: Expected Return = Risk-Free Rate + Beta * (Expected Market Return – Risk-Free Rate) // Convert percentages to decimals for calculation if they were entered as such (e.g., 10% as 10) var decimalRiskFreeRate = riskFreeRate / 100; var decimalExpectedMarketReturn = expectedMarketReturn / 100; var equityMarketPremium = decimalExpectedMarketReturn – decimalRiskFreeRate; var requiredReturnDecimal = decimalRiskFreeRate + (beta * equityMarketPremium); // Convert back to percentage for display var requiredReturnPercentage = (requiredReturnDecimal * 100).toFixed(2); resultElement.innerHTML = requiredReturnPercentage; } .calculator-container { font-family: sans-serif; display: flex; flex-wrap: wrap; gap: 20px; margin-bottom: 20px; } .article-content { flex: 1; min-width: 300px; background-color: #f9f9f9; padding: 15px; border-radius: 8px; box-shadow: 0 0 5px rgba(0,0,0,0.1); } .calculator-form { flex: 1; min-width: 250px; background-color: #eef7ff; padding: 20px; border-radius: 8px; box-shadow: 0 0 5px rgba(0,0,0,0.1); } .calculator-form label { display: block; margin-bottom: 5px; font-weight: bold; } .calculator-form input[type="number"] { width: calc(100% – 22px); padding: 10px; margin-bottom: 10px; border: 1px solid #ccc; border-radius: 4px; } .calculator-form button { background-color: #4CAF50; color: white; padding: 10px 15px; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; } .calculator-form button:hover { background-color: #45a049; } #result { margin-top: 20px; padding: 10px; background-color: #d4edda; border: 1px solid #c3e6cb; border-radius: 4px; text-align: center; } #result h3 { margin: 0; color: #155724; } #requiredReturn { font-size: 1.5em; font-weight: bold; }

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