Sherrie Hymes holds a $200,000 portfolio consisting of the following stocks. The portfolio's beta is 0.875. Stock Investment Beta A $50,000 0.50 B 50,000 0.80 C 50,000 1.00 D 50,000 1.20 Total $200,000 If Sherrie replaces Stock A with another stock, E, which has a beta of 1.50, what will the portfolio's new beta be

The portfolio’s new beta will be 1.125

Explanation:

In this question, we are interested in calculating the portfolio’s new beta given the value of the beta of the stock which is used in replacing it.

We apply a mathematical approach here.

Mathematically;

Portfolio beta=Respective beta * Respective investment weight

=(50,000/200,000*1.5)+(50,000/200,000*0.8)+(50,000/200,000*1)+(50,000/200,000*1.2)

= 0.375 + 0.2 + 0.25 + 0.3 = 1.125

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