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UPS has a beta of 1.5 and FedEx has a beta of 0.9. The risk-free rate is 4% and the market risk premium is 7%. If the portfolio comprised of these two stocks has a beta equal to 1.08, what are the portfolio weights of UPS and FedEx

User Mchfrnc
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Answer and Explanation:

The computation of the portfolio weighted of UPS and FedEx is shown below:

Let us assume the weight of UPS be x

And, the weight of FedEx be (1 - x)

As we know that

Portfolio beta = Respective beta × Respective weight

1.08 = (x × 1.5) + (1 - x) × 0.9

1.08 = 1.5x + 0.9 - 0.9x

x = (1.08 - 0.9) ÷ (1.5 - 0.9)

x = 0.30 or 30%

= UPS weight

And, the weight of FedEx is

= 1 - x

= 1 - 0.30

= 0.70

User LeftOnTheMoon
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