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    A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and
    Question

    A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock D represents the remaining 30% of the portfolio and has a negative return of 5%. What is the average return of the portfolio?

    A.

    2.9%

    B.

    2.6%

    C.

    3.2%

    D.

    3.4%

    Correct option is A

    Given:
    Stock A: 20% of portfolio, return = 6%
    Stock B: 30% of portfolio, return = 8%
    Stock C: 20% of portfolio, return = 4%
    Stock D: 30% of portfolio, return = -5%
    Formula Used:
    The average return of a portfolio is the weighted sum of the returns of individual stocks, which is given by:
    Average Return = (wA×rA)+(wB×rB)+(wC×rC)+(wD×rD)(w_A \times r_A) + (w_B \times r_B) + (w_C \times r_C) + (w_D \times r_D)​​
    Where:
    wA,wB,wC,wDw_A, w_B, w_C, w_D​ ​ are the weights (proportions) of stocks A, B, C, and D in the portfolio.
    rA,rB,rC,rDr_A, r_B, r_C, r_D​ ​ are the returns of stocks A, B, C, and D respectively.
    Solution:
    Substitute the given values into the formula:
    Average Return=(0.20×6%)+(0.30×8%)+(0.20×4%)+(0.30×5%)\text{Average Return} = (0.20 \times 6\%) + (0.30 \times 8\%) + (0.20 \times 4\%) + (0.30 \times -5\%)​​
    Average Return=1.2+2.4+0.81.5=2.9%\text{Average Return} = 1.2 + 2.4 + 0.8 - 1.5 = 2.9\%​​
    Thus, The average return of the portfolio is 2.9%.

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