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Security Market Line

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Submitted By mehta1441
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Q.1 What is scurity Market Line

The security market line (SML) equation is the Capital Asset Pricing Model. It is used to price risk, i.e., it is used to specify the risk/return relationship of a particular asset or portfolio, regardless of the level of diversification. The SML equation (provided with the CFP Board Exam) is:

ri = rf + (rm - rf) βi

The SML equation states that the return of a specific investment is equal to the risk-free rate plus a market risk premium multiplied by the investment’s beta (βi). By definition, the beta of the market is 1. Unlike the CML which uses standard deviation (σ) to measure risk, the SML uses beta (βi), i.e., systematic risk, to measure risk. Given a stock’s beta, the risk-free rate, and the market’s expected return, the SML equation will solve for the stock’s required rate of return.

• Undervalued stocks will have an expected return greater than the SML’s required return; if a security plots over the SML it is undervalued and should be purchased. • Overvalued stocks will have an expected return less than the SML’s required return; if a security plots under the SML it is overvalued and should be sold or shorted. • A stock that plots on the SML has an expected return than is equal to the SML’s required return and can be bought or sold – the investor is indifferent.
[pic]

Which stock should be purchased, which should be sold? Stock plots over the SML therefore it is undervalued and should be purchased. Stock B plots under the SML therefore it is overvalued and should be sold. Both stocks have the same level of systematic risk but stock A has a greater expected return than stock B and a greater expected return than what is required by the SML. The most commonly used market proxy benchmark for measuring beta is the S&P 500 index – so, by definition, the beta of the S&P 500 =

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