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?

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%

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%

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