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Portfolio Beta Your investment club has only two stocks in its portfolio; $25,000 is invested in a
stock with a beta of 0.4, and $75,000 is invested in a stock with a beta of 2.3. What is the
portfolio's beta? Round your answer to two decimal places.
Solution
Portfolio Value = $100,000
Investment in first Stock= $25,000
Investment second Stock= $75,000
Weight of first Stock: $25,000 / $100,000 = 0.25
Weight of second Stock: $75,000 / $100,000 = 0.75
Beta of first Stock= 0.4
Beta of second Stock= 2.3
Beta (portfolio) = [Weight (Stock A) X Beta (Stock A)] + [Weight (Stock B) X Beta (Stock B)]
=[0.25 x 0.4]+ [0.75 x 2.3]
=0.1+1.725=1.83
Portfolio Beta Your investment club has only two stocks in its portfol.docx

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Portfolio Beta Your investment club has only two stocks in its portfol.docx

  • 1. Portfolio Beta Your investment club has only two stocks in its portfolio; $25,000 is invested in a stock with a beta of 0.4, and $75,000 is invested in a stock with a beta of 2.3. What is the portfolio's beta? Round your answer to two decimal places. Solution Portfolio Value = $100,000 Investment in first Stock= $25,000 Investment second Stock= $75,000 Weight of first Stock: $25,000 / $100,000 = 0.25 Weight of second Stock: $75,000 / $100,000 = 0.75 Beta of first Stock= 0.4 Beta of second Stock= 2.3 Beta (portfolio) = [Weight (Stock A) X Beta (Stock A)] + [Weight (Stock B) X Beta (Stock B)] =[0.25 x 0.4]+ [0.75 x 2.3] =0.1+1.725=1.83