CAPM Calculator
In finance, the Capital Asset Pricing Model is used to describe the relationship between the risk of a security and its expected return. You can use this Capital Asset Pricing Model (CAPM) Calculator to calculate the expected return of a security based on the risk-free rate, the expected market return and the stock's beta.
CAPM Formula
The calculator uses the following formula to calculate the expected return of a security (or a portfolio):
E(Ri) = Rf + [ E(Rm) − Rf ] × βi
Where:
E(Ri) is the expected return on the capital asset,
Rf is the risk-free rate,
E(Rm) is the expected return of the market,
βi is the beta of the security i.
Example: Suppose that the risk-free rate is 3%, the expected market return is 9% and the beta (risk measure) is 4. In this example, the expected return would be calculated as follows:
E(Ri) = Rf + [ E(Rm) − Rf ] × βi = 3% + (9% − 3%) × 4 = 27%
E(Ri) = 27%
What is CAPM Calculator
A CAPM (Capital Asset Pricing Model) calculator is a tool used to estimate the expected return on an investment based on its systematic risk. The CAPM is a widely used financial model that calculates the required rate of return for an asset by considering its beta (systematic risk), the risk-free rate of return, and the market risk premium.
Here's how a typical CAPM calculator works:
-
Risk-Free Rate: You input the risk-free rate of return, which represents the return on a virtually risk-free investment such as government bonds or treasury bills. It serves as a baseline for estimating the required return on a riskier investment.
-
Market Risk Premium: You input the market risk premium, which represents the additional return investors expect for taking on the overall market risk. It can be obtained from historical data or estimated based on market conditions.
-
Beta: You input the beta coefficient, which measures the systematic risk of an asset relative to the overall market. Beta values can be obtained from financial databases or financial analysis tools.
-
Expected Return: The CAPM calculator uses the formula:
Expected Return = Risk-Free Rate + Beta * Market Risk Premium
It multiplies the beta by the market risk premium and adds the result to the risk-free rate to calculate the expected return on the investment.
The CAPM calculator provides an estimate of the rate of return that investors require for holding a particular investment given its risk characteristics. It is commonly used to determine the appropriate discount rate for valuing assets or assessing investment opportunities.
By using the CAPM, investors can compare the expected return of an individual asset or portfolio with its systematic risk and market conditions. It helps in making informed investment decisions, evaluating the attractiveness of different investments, and understanding the trade-off between risk and return.
It's important to note that the CAPM is a simplified model that makes certain assumptions about market efficiency and investor behavior. It has its limitations and should be used in conjunction with other financial analysis methods and considerations when evaluating investments.
Additionally, the accuracy of the CAPM calculation depends on the reliability of input data, such as the risk-free rate, market risk premium, and beta coefficient. These values may vary over time and can be subject to estimation errors.
Overall, a CAPM calculator is a useful tool for estimating the expected return on an investment based on its systematic risk, providing a framework for assessing investment opportunities and determining appropriate discount rates.
CAPM Calculator Example
Certainly! Here's an example of using a table to calculate the expected return using the Capital Asset Pricing Model (CAPM):
| Stock | Beta (β) | Risk-Free Rate (Rf) | Market Return (Rm) | Expected Return (using CAPM) |
|---|---|---|---|---|
| Stock A | 1.2 | 3% | 10% | 11.4% |
| Stock B | 0.8 | 3% | 10% | 7.4% |
| Stock C | 1.5 | 3% | 10% | 13.5% |
In this example, we have three different stocks with their respective beta values, risk-free rate, and market return. We will calculate the expected return for each stock using the Capital Asset Pricing Model (CAPM).
To calculate the expected return using CAPM, you can use the formula:
Expected Return = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)
For instance, for Stock A with a beta of 1.2, a risk-free rate of 3%, and a market return of 10%, the expected return using CAPM would be:
Expected Return = 3% + 1.2 * (10% - 3%) = 11.4%
Similarly, using the same formula, you can calculate the expected returns for Stock B and Stock C based on their respective beta values, risk-free rates, and market returns mentioned in the table.
The Capital Asset Pricing Model (CAPM) is a widely used financial model that helps in determining the expected return on an investment. It takes into account the risk-free rate, the market return, and the specific risk of an investment (represented by the beta coefficient) to estimate the appropriate return. By using the CAPM, investors can evaluate whether an investment is providing sufficient returns relative to its risk.
