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You would like to combine a risky stock with a beta of 1.87 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 the risky stock

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Answer:

46.5%

Step-by-step explanation:

The treasury bills have zero beta as they have no systematic risk. Beta is used in the Capital asset pricing Model to demonstrate a relationship between systematic risk and rate of return.

Expected Return = Rf + Beta * Rp

The percentage that should be invested in the risky portfolio will be,

1 - 1 / Beta

1 - 1 / 1.87

= 46.5%

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