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23 January, 13:48

Bob has a $50,000 stock portfolio with a beta of 1.2, an expected return of 10.8%, and a standard deviation of 25%. Becky also has a $50,000 portfolio, but it has a beta of 0.8, an expected return of 9.2%, and a standard deviation that is also 25%. The correlation coefficient, r, between Bob's and Becky's portfolios is zero. If Bob and Becky marry and combine their portfolios, which of the following best describes their combined $100,000 portfolio?

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  1. 23 January, 13:54
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    Combined Beta = 1

    Combined return = 10%

    Explanation:

    given data

    stock portfolio = $50,000

    beta = 1.2

    expected return = 10.8%

    beta = 0.8

    expected return = 9.2%

    standard deviation = 25%

    to find out

    combination

    solution

    we get here first Combined Beta that is express as

    Combined Beta = 1.2 * 50% + 0.8 * 50%

    Combined Beta = 1

    and

    Combined return will be here

    Combined return = 10.8 * 50% + 9.2 * 50%

    Combined return = 10%
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