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zhuklara [117]
3 years ago
9

We have the following CAPM E(Ri) = .06 + .08 Beta; a) If Stock X has a beta of 2, what is the required rate of return? b) If we

form a portfolio that is invested 40% in Stock X and 60% in the risk free asset, the expected rate of return on that portfolio? What is the beta of that portfolio? Stock Z has a beta of 1.5 and an expected return of 15%. Is at a good buy? d)Construct a portfolio of Stock X and the risk free asset which has a beta of 1.5. what is c) e) What is the expected return for this purpose?
Business
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

Please kindly go through explanation for the answers.

Explanation:

A)The required return if Beta is 2 = 0.06+0.08*2 =0.22

B)Here Rf = 0.06

Expected return of the portfolio = 0.4*22% + 0.6*6% =12.4%

since beta of Rf = 0,the expected beta = 0.4*2 = 0.8

C)Beta is nothing but systematic risk of a security in comparing to the market. In this case stock z having beta of 1.5 which is less than beta of stockX i.e 2. and expected return is 15%.so stockz is offering lower return at lower risk. If the investor is a risk averse its a good buy.

D) let W be portion of stock X.

Then w*2 + (1-w)*0 = 1.5

W = 1.5/2 =0.75

to construct a portfolio which has a beta of 1.5 we have to invest 75% of our money in stock X and remaining in risk free asset

E) expected return = 0.22*.75 +0.25*0.06 = 16.5% + 1.5% = 18%

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P0 = D0 * (1+g1) / (1+r)  +  D0 * (1+g1)^2 / (1+r)^2  +  ...  +  D0 * (1+g1)^n / (1+r)^n  + [(D0 * (1+g1)^n  *  (1+g2) /  (r - g2))  /  (1+r)^n]

Where,

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1.89 * (1+0.23)^3 / (1+0.15)^3  +   1.89 * (1+0.23)^4 / (1+0.15)^4  +  

1.89 * (1+0.23)^5 / (1+0.15)^5  +  1.89 * (1+0.23)^6 / (1+0.15)^6  +  

1.89 * (1+0.23)^7 / (1+0.15)^7  +  1.89 * (1+0.23)^8 / (1+0.15)^8  +  

1.89 * (1+0.23)^9 / (1+0.15)^9  +  1.89 * (1+0.23)^10 / (1+0.15)^10  +  

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