Question

12.) Mrs. Landis has a 2-stock portfolio with a total value of $530,000. $175,000 is invested...

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?

Homework Answers

Answer #1

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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