Security Market Line (SML) | Formula | Examples - YouTube

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hello everyone hi welcome to the channel of WallStreetmojo watch the video
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clicking the bell icon friends today we're going to learn a concept that is
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on security market line this concept exactly it comes into picture when
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you're trying to evaluate the portfolio management of different stocks now as
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you can see there's a graph over here which is visible see what is security
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market line near here you can see their line over here which is written but what
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exactly does it mean see a similar that is the security market line is basically
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a graphical representation of the capital asset pricing model now what is
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your capital as a pricing model it is as simple as that your cost of equity the
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amount of the cost that you need to pay to your equity shareholders right so you
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calculate your key based on the CAPM method and this is the representation of
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the CAPM SML Q's an expected return of the market at the different level of the
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systemic or the market risk and it is also called as the characteristics line
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where X represents the beta that is the systematic risk beta a risk
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of the asset and the y-axis represents the expected return er right so over
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here above the security market line you see undervalued stocks that means a buy
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signal and below the security market line you have a valued stocks which
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shows as the sell signal because over there
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you cannot go further it's gonna go down it's all value so the security market
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line equation goes something like this SML is equal to your expected return
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which is equal to RF that is the risk-free rate plus your bita okay you
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open the bracket okay the big one today you have expected
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you have expected return from the market ERM less TRS that is the risk-free rate
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and you close the practice this is your SML okay so in this above security
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market line you see er is the expected rate of return as you can see expected
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rate of return RF is the over here this is not EF this is RF
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okay this is RF that is risk-free rate then you have beta which is the
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sensitivity of the stock which is non diversifiable or systemic risk and the
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most important factor of SML and erm is basically the expected return on the
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market portfolio and finally you have RF which is known as ARM minus RF this
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whole thing is also known as your market risk premium the above security market
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line equation can be graphically also be represented you can see how the
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graphical representation has been done market risk premium
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ERM minus RF that is your risk free rate is down you can see the straight line
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M is the market portfolio this is the security market line you have above
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under value stocks and below as overvalued stocks expected written over
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here on the y axis insist systematic risk on the x axis let us understand
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some characteristics of the same see assimil is a good representative of
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investment opportunity cost which provides a combination of it's a combo
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offer you can see a risk-free date that is your RF and the market portfolio okay
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second 0 beta 0 beta security or 0 beta portfolio has an expected return on the
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portfolio which is equal to RF okay third the slope of SML SML the slope and
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symbol is determined by the market risk premium which is erm - your RF that is
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risk premium higher the market risk premium steeper the slope and vice versa
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the case for the asset which are above which are above SML are basically you
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can say overvalued as they have lower expected return for
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the same amount of the risk then the next thing that you have a security
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market line example which we are going to understand let's say that the
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risk-free rate RF is 5% okay and the expected market
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return erm is let's say 14% consider there are two securities one with a beta
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okay one with a beta of 0.5 let's say there is security a and the security P
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let's just take up our control X control V you have beta of two companies and
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this is going to remain the same control V control okay so your beta for the two
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security let's say 0.5 and 1.5 right so now let us understand the security
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market line example calculating the expected return on each security using
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SML see the expected return for security a s for the security market line is is
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as simple as that is equal to your risk-free rate that is 5% plus
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you will have you will multiply 0.5 x 9 okay
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that is 14 -5 you can I'll just do it in bracket 14 - 5 that is your
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ERM- RF so that's 9.5 okay and in the similar fashion you can
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find 4 this is equal to 5% that is the risk-free rate plus 1.5
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that is the beta as you can see into 9 that is again the same thing there's no
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change so you can see there is a significant change just because of the
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beta 0.5 and 1.5 and 9.5 and 18.5
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can see the significant level of difference just because of the change in
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the beta higher the beta has led to higher amount of the cost of basically
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the cost of equity now what is the important measure in the
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security market line what is the important measure in the security market
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line see beta is important measure in the
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security market line thus let's discuss in detail
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you know beta is is a measure of volatility of the systemic risk or
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security of the portfolio as compared to the market as a whole so the market can
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be considered as an indicative market index or a basket of universal assets if
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your beta if that is equal to 1 then the stock has the same level of same level
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of you can say risk same level of risk of the stock to the market a beta
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greater than 1 represents that the stock has written in 1 represents a risky
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riskier asset than the market and beta less than 1 when we say that if beta is
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less than 1 that represents that risk is less than the market right and the beta
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can be calculated by a very simple formula that is the covariance of x and
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y or let's say the risk from the market and the risk from the stock divided by
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the variance of market becomes a variance of the RM that is of the market
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or you can this this can be written as the correlation which is a P you can say
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Ms okay you will multiply this into your standard deviation SD of stock upon st
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of market that is the standard deviation of the market let's understand some of
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the advantages and some of the disadvantages of security market line
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see the security market line is very easy to use SML and cape am can be
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easily used to model and derive expected return from the asset of the portfolio
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second D model assumes that the portfolio is well diversified
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well diversified hence it neglects the unsystematic risk making - easier to
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compare to reference to diversified portfolio third CAPM in SML considers
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systemic risk systemic risk and which is negated by other models like dividend
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discount model and weighted average model so based on this we can mix and
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find the conclusion SML it gives a graphical representation of the capital
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asset pricing model to give expected return for the systemic or the market
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risk fairly price portfolio like SML while undervalued and overvalued stock
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okay portfolio lies between the below and and below the line respectively a
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risk averse investor you can say that investment is more often to lie close to
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the y-axis or the beginning of the line where ever risk-taker investors
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investment would be higher on the SML and SML provides a good method for
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comparing the two investments or securities however the same depends on
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the assumptions of the market risk risk-free rate and the beta coefficients
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