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Problem, 6· (20 points total) Assume that the risk-free rate is 3% and the expected rate of return on the market portfolio s i 0%. (a) (5 points total) Graphically show what the SML (Security Market Line) looks like (1 point). Indicate where the risk-free asset and the market portfolio lie along the SML (1 point each). You can create this graph by hand or by computer. What is the slope of the SML? (1 point) What is the y-intercept of the SML? (I point) (b) (9 points total) There are a total of three risky stocks which have the following characteris- tics Asset | E (A) | A | 2.1% |-0.1 B | 14.2% | 1.6 60% | 0.4 Calculate the CAPM α for each of the three stocks (2 points each). Show graphically where these three assets lie in relation to the SML (1 point each). [Hint: It should not be the case that all three of them lie exactly on the SML.J (c) (6 points total) Based on your answer in Part (b), tell me the whether each of the three assets are overpriced, underpriced, or properly priced (2 points each for Asset A, B, and C).
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Answer #1

a) The security Market Line is based on following CAPM equation

E(Ri)=Ri+ \betai* (E (Rm)- Rf)

where E(Ri) is expected return of security , Rf is risk free rate ,  \betai security beta coefficient and E(Rm) is an expected market return.

E[Ril SML ERml Rf

The slope of the SML is market risk premium. The Y intercept of SML Line is Beta cofficient.

b) Alpha \alpha = E(Ri)-Ri- (\betai* (E (Rm)- Rf))

Alpha of Asset A = .021-.03- ((-.1)*(0.1-.03)

= -0.20%

Alpha of Asset B = 0.142- .03- ((1.6)*(0.1-.03)

= 0.00%

Alpha of Asset C = 0.06- .03- ((.4)*(0.1-.03)

= .20%

Asset A- Overpriced

Asset B - Fairly Priced

Asset C - Underpriced

Assit ら 2. 3

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