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**About Capital Asset Pricing Model (CAPM)**

The relationship between risk and expected return is explained using the *Capital Asset Pricing Model (CAPM)** *developed by William Sharpe (1964) and John Lintner (1965). Based on this model, ̅r_{a} = r_{f }+ β_{a }(̅ r_{m} - r_{f}) , where r_{f} is the risk free rate, β_{a }is the_{ }Beta of the security, ̅r_{m } is the expected market return and ̅ra is the expected return of the security. Thus,
**CAPM** is used in the pricing of risky securities. There are two methods of compensation for the investors, based on the **CAPM**, which include the time value of money and the risk. The risk free rate denotes the time value of money and the investors are compensated for the investment of money over a time period through this risk free rate. In the **CAPM** formula, the compensation for taking additional risk is captured by the second half. This shows the product of the risk measure denoted by the beta measure and the market premium captured as (̅ r_{m} - r_{f}).

According to the **CAPM formula**, the risk free security rate plus the risk premium is equivalent to the expected return on a security or portfolio. There is no need for the investment in case of the expected return not beating the return needed. The security market line plots the **CAPM** for various risks. In this graph, the x-axis and y-axis values are respectively the beta and the expected return. The slope of the SML shows the market risk premium. The calculation of the expected values for the security market line is done with the equation

E_{s} = r_{f} +
B_{s}(E_{mkt} - r_{f}),
where E_{s }is the expected return of_{ }the investment, r_{f }is the risk free rate, B_{s }is the Beta of the investment and E_{mkt }is the expected market return ._{ }

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