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