# Capital asset pricing model

## Introduction to the Capital Asset Pricing Model (CAPM)

The Capital Asset Pricing Model (CAPM) is a financial model used to determine the expected return of an asset. It is used to determine the cost of capital and is used in investments, banking, and finance. The CAPM is a tool used by investors to calculate the expected return of an investment based on its risk and the market average return.

## How the CAPM Works

The CAPM is based on the concept of diversification. It assumes that investors are diversifying their investments to minimize risk. This means that investors are combining different assets to form a portfolio that has a higher expected return and a lower risk than any of the individual assets held. The CAPM takes into account the expected return of the market and the expected risk of the asset. The expected return of the market is the average rate of return of all assets in the market. The expected risk of the asset is the amount of volatility that it has compared to the market average.

## Components of the CAPM

The CAPM consists of three main components:

• Beta (β): Beta is a measure of the volatility of an asset compared to the market average. A beta of 1 indicates that the asset has the same level of volatility as the market average.
• Risk-free rate (Rf): The risk-free rate is the expected return of a risk-free investment such as a government bond. It is used to compare the expected return of an investment to the expected return of a risk-free investment.
• Market return (Rm): The market return is the average rate of return of all assets in the market.

## Formula for the CAPM

The CAPM formula is used to calculate the expected return of an asset:Expected return = Risk-free rate + Beta (Market return – Risk-free rate)

## Example of CAPM

Suppose that the risk-free rate is 3%, the market return is 8%, and the beta of a security is 1.5. The expected return of the security can be calculated using the CAPM formula:Expected return = 3% + 1.5 (8% – 3%) = 9.5%

## Conclusion

The Capital Asset Pricing Model (CAPM) is a financial model used to determine the expected return of an asset. It is based on the concept of diversification and takes into account the expected return of the market and the expected risk of the asset. The CAPM formula is used to calculate the expected return of an asset. For more information about the Capital Asset Pricing Model, please visit the following links: