Question

12. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a T-bill with a rate of return of 0.05. A portfolio that has an expected outcome of $115 is formed by A. investing $100 in the risky asset. B. investing $80 in the risky asset and $20 in the risk-free asset. C. borrowing $43 at the risk-free rate and investing the total amount ($143) in the risky asset. D. investing $43 in the risky asset and $57 in the riskless asset. E. Such a portfolio cannot be formed.

Answer 1

Answer:

C. Borrowing $43 at the risk-free rate and investing the total amount ($143) in the risky asset.

Explanation:

Outcome Return For $100 =  (115 - 100)/100 = 15%;

0.15 = w1(0.12) + (1 - w1)(0.05)

0.15 = 0.12w1 + 0.05 - 0.05w1

0.10 = 0.07w1  

w1 = 1.43($100)

w1 = $143;

(1 - w1)$100 = $100 - $143

(1 - w1)$100 = -$43