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19 March, 02:48

You have $24,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with an expected return of 12 percent. If your goal is to create a portfolio with an expected return of 12.65 percent, how much money will you invest in Stock X and Stock Y? (Do not round intermediate calculations and round your answer to the nearest dollar, e. g., 32.)

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  1. 19 March, 04:41
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    Investment in stock X is $15,600 and Investment in stock Y is $8,400

    Explanation:

    Assuming the weights of the Stock X and Stock Y be Q and R

    So,

    Q + R = 1

    R = 1 - Q

    (Q * 13%) + (R * 12%) = 12.65%

    13 Q + [ (1 - Q) * 12] = 12.65

    13 Q - 12 Q + 12 = 12.65

    Q = 12.65 - 12

    Q = 0.65

    R = 1 - Q

    = 1 - 0.65

    = 0.35 or 35%

    Therefore, the investment in stock X and Y is as:

    Investment in stock X = Amount * Percentage

    = $24,000 * 65%

    = $15,600

    Investment in stock Y = Amount * Percentage

    = $24,000 * 35%

    = $8,400
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