Portfolio Beta You own $32,000 of City Steel stock that has a beta of 3.42. You also own $43,500 of Rent-N-Co (beta = 1.87) and $21,700 of Lincoln Corporation (beta = -.73). What is the beta of your portfolio?

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Portfolio Beta You own $32,000 of City Steel stock that has a beta of 3.42. You also own $43,500 of Rent-N-Co (beta = 1.87) and $21,700 of Lincoln Corporation (beta = -.73). What is the beta of your portfolio?

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Answer: beta of your portfolio = 1.80

Working notes for the above answer is as under

First determine the total value of the portfolio and the weights of each stock in the portfolio: Total value

= $32,000 + $43,500 + $21,700

= $97,200

Olympic Steel weight

= $32,000 / $97,200

= 32.92%

Rent-a-C0 weight

= $43,500 / $97,200

= 44.75%

Lincoln Educational weight

= $21,700 / $97,200

= 22.32%

Now compute the portfolio beta:

=(0.3292×3.42) + (0.4475×1.87) + (0.2232×-0.73)

= 1.7998

=1.80

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