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11 April, 21:54

im Angel holds a $200,000 portfolio consisting of the following stocks: Stock Investment Beta A $50,000 0.95 B 50,000 0.8 C 50,000 1 D 50,000 1.2 Total $200,000 What is the portfolio's beta

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  1. 11 April, 22:43
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    Answer: 0.9875

    Explanation:

    Portfolio beta is the measure of the volatility of a portfolio or security when it is compared to the market.

    From the question, we are informed that an investment of $200,000 was made for four stock types. This means each stock's investment was: ($200,000/4) = $50,000. Therefore a weightage of (100% : 4) = 25% will be assigned to each.

    The portfolio beta will now be:

    = (25% * 0.95) + (25% * 0.8) + (25% * 1) + (25% * 1.2)

    = (0.25 * 0.95) + (0.25 * 0.8) + (0.25 * 1) + (0.25 * 1.2)

    = 0.2375 + 0.2 + 0.25 + 0.3

    = 0.9875

    The portfolio's beta is 0.9875
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