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17 August, 10:43

You have $150,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 13.45 percent. Stock X has an expected return of 12.06 percent and a beta of 1.46, and Stock Y has an expected return of 8.22 percent and a beta of. 82.

How much money will you invest in stock Y?

What is the beta of your portfolio?

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  1. 17 August, 11:03
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    Answer are given below;

    Explanation:

    Let A be the investment in Stock X and remaining (1-A) should be investment in stock Y

    Rp=AXRx + (1-A) XRy

    13.45%=A*12.06% + (1-A) * 8.22%

    13.45%=12.06%A+8.22%-8.22%A

    13.45%=3.84%A+8.22%

    13.45%-8.22%=3.84%A

    5.23%/3.84%=A

    A=1.36

    Now 1-A=1-1.36=.36

    Now amount invested in Y shall be = $150,000*.36=$54,000

    Beta of portfolio=1.46 * (1-.36) +.82*.36=.93+.30=1.23
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