Question

You would like to combine a risky stock with a beta of 1.5 with U.S. Treasury bills in such a way that the risk level of the portfolio is equivalent to the risk level of the overall market. What percentage of the portfolio should be invested in Treasury bills? (Formula: Portfolio beta = w1 * beta 1 + w2 *beta 2; w1+w2 = 1) Round your answer to the integer. Note that the answer needs to be in PERCENTAGE. Weight in stock = Blank 1. Fill in the blank, read surrounding text. 67 % Weight in T-Bill = Blank 2. Fill in the blank, read surrounding text. 33 %

Answer 1

Answer:

33.33%

Explanation:

Let weight of T-bill be x, therefore weight of stock will be 1-x

Portfolio = Weight of stock*Beta of stock + Weight of T-bills*Beta of T-bills

1 = (1-x)*1.5 + x*0

1 = 1.5 - 1.5x

x = 0.5/1.5

x = 0.3333

x = 33.33%

Therefore, the percentage of the portfolio invested in treasury bills is 33.33%.