Suppose instead of replacing Atteric Inc.’s stock with Baque Co.’s stock, Brandon considers replacing Atteric Inc.’s stock with the equal dollar allocation to shares of Company X’s stock that has a higher beta than Atteric Inc. If everything else remains constant, the portfolio’s beta would? Decrease or Increase

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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. Portfolio beta and weights

Brandon is an analyst at a wealth management firm. One of his clients holds a $5,000 portfolio that consists of four stocks. The investment allocation in the portfolio along with the contribution of risk from each stock is given in the following table:
Stock
Investment Allocation
Beta
Standard Deviation
Atteric Inc. (AI) 35% 0.750 38.00%
Arthur Trust Inc. (AT) 20% 1.500 42.00%
Li Corp. (LC) 15% 1.100 45.00%
Baque Co. (BC) 30% 0.300 49.00%
 
Brandon calculated the portfolio’s beta as 0.818 and the portfolio’s required return as 8.4990%.
Brandon thinks it will be a good idea to reallocate the funds in his client’s portfolio. He recommends replacing Atteric Inc.’s shares with the same amount in additional shares of Baque Co. The risk-free rate is 4%, and the market risk premium is 5.50%.
 
Suppose instead of replacing Atteric Inc.’s stock with Baque Co.’s stock, Brandon considers replacing Atteric Inc.’s stock with the equal dollar allocation to shares of Company X’s stock that has a higher beta than Atteric Inc. If everything else remains constant, the portfolio’s beta would?
Decrease or Increase
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