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Can you helo with these? Thank you. 1. a portfolio is composed of stocks A and B

ID: 2383052 • Letter: C

Question

Can you helo with these? Thank you.

1. a portfolio is composed of stocks A and B. The weight of A is 0.6 and the variance is 0.4. The covariance of A and B is -0.25. Assume that such a portfolio reaches its minimum variance, What is the variance of B?

2.

The  risk-­free    rate    is   2%.  The    expected   return of  the      market    portfolio is         12%. The    beta   of a stock  is 1.5    and    the      expected return   of   this    stock is 14%. Which trading  strategy   should   an    investor    adopt?          

a.Do    nothing                      

b. Sell   short   this    stock   because         it         is        overpriced   

c. Sell  short    this    stock   because         it         is         underpriced           

d. Buy  this    stock   because         it         is         overpriced   

       e. Buy    this    stock  because         it         is         underpriced           

3.

A portfolio P is   composed  of two   risky  stocks A    and    B    whose expected returns   are 12%    and  20%,    respectively.    The    expected return of P is 16%. The   betas    of P and A are 1.5    and 1.2, respectively. The expected return of the market portfolio is 10%. Finally, stock A’s    return is   thought overestimated by 1%.

a.   What is   the beta of B?

b. What is the alpha of B?

              

Explanation / Answer

Portfolio risk is minimum since variance is minimum.

Thus, Portfolio variance = +1

Weight of secuirty B = 0.4

Portfolio Variance = W12.Variance1 + W22.Variance2 + 2. W1.W2.r12.Variance1. Variance2

-1 = 0.62. (0.4) + 0.42. Variance2 + 2.(0.6).(0.4). (-0.25). (0.4). Variance2

-1 = 0.144 + (0.16). Variance2 - 0.048 . (Variance2)

Variance2 =- 10.21

2. Expected return = Rf + Beta (Rm - Rf)

Expected return = 2 + 1.5(12-2) = 17%

Return of the stock = 14%

Thus, it is underpriced security.

e. is the correct answer. Buy this stock as it is underpriced.


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