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8/4/2019 Security Market Line Sml
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PREPARED BYGURJIT KAURROLL NO:-01
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Security market line(SML) is graphicalrepresentation of Capital asset pricingmodel(CAPM).
It displays the expected rate of return of anindividual security as a function of systematic, non-diversifiable risk(beta).
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CAPM = SML (GRAPH)
SML = E (Ri) = Rf + B[E(Rm) – Rf]
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SMLUNDERVALUED
OVERVALUED
STOCK
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Useful to determine asset consider forportfolio offers reasonable expected returnfor risk.
Individual security is plotted on graph.
Above SML, it is undervalued becauseinvestor can expect a greater return forinherent risk.
Below SML, it is overvalued because investorwould be accepting less return for amountrisk return.
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Assuming if risk free rate is 5%, and if overallstock will produce a rate of return 12.5% nextyear. XYZ company has a beta of 1.7%.
security
•
Risk free•Overall stock
market
•XYZ co.
beta
•
0.0•1.0
•1.7
Rate of return
•
5%•12.5%
•17.5%
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E(Ri) = Rf + Bi[E(Rm) – Rf]
Rf : RISK FREE RATE = 5%
B : BETA = 1.7%
Rm : MARKET RATE OF RETURN= 12.5%
SOLVING WITH FORMULA, WE GET=5 + 1.7[12.5 – 5]
=5 + 1.7[7.5]
=5 +12.5
=17.5%
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RATE OF RETURNSML
20
15
10
05 RISKFREE RATEBETA