12.) Mrs. Landis has a 2-stock portfolio with a total value of $530,000. $175,000 is invested in Stock A with a beta of 1.35 and the remainder is invested in Stock B with a beta of 0.75. What is her portfolio's beta?
Portfolio beta is the weighted average beta of both the stocks. Therefore, we first need to calculate the weights of both the stocks.
Total value of portfolio = $ 530,000
Value of Stock A = $ 175,000
Value of Stock B = 530,000 - 175,000 = $ 355,000
Weight of Stock A = Value of Stock A / Total value of portfolio = 175,000 / 530,000 = 0.33
Weight of Stock B = Value of Stock B / Total value of portfolio = 355,000 / 530,000 = 0.67
Portfolio beta = (Weight of Stock A * Beta of Stock A) + (Weight of Stock B * Beta of Stock B)
Portfolio beta = (0.33*1.35) + (0.67*0.75) = 0.948
Thus portfolio beta = 0.948
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