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Olin [163]
3 years ago
9

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 por

tfolio 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 %
Business
1 answer:
Deffense [45]3 years ago
5 0

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%.

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