You own a portfolio that has $2,650 invested in Stock A and $4,450 invested in Stock B. If the expected returns on these stocks are 8 percent and 11 percent, respectively, what is the expected return on the portfolio

9.88%

Explanation:

Calculation for the expected return on the portfolio

First step is to find Total portfolio vale using this formula

Total portfolio vale=(Stock A portfolio + Stock B portfolio)

Let plug in the formula

Total portfolio vale= (2,650+4,450)

Total portfolio vale= 7,100

Second step is to calculate for the Expected portfolio return of Stock A by dividing Stock A portfolio by the Total portfolio vale then multiply it by the expected returns percentage

Expected portfolio return Stock A = 2,650 / 7,100

Expected portfolio return Stock A = 0.3732 *0.08

Expected portfolio return Stock A =0.02986

The third step is to calculate for the Expected portfolio return of Stock B by dividing Stock B portfolio by the Total portfolio vale then multiply it by the expected returns percentage

Expected portfolio return Stock B=$4,450/$7,100

Expected portfolio return Stock B=0.6268 *0.11 Expected portfolio return Stock B= 0.06895

The last step is add up the expected return on the portfolio for both Stock A and Stock B

Using this formula

Expected return on the portfolio=(Stock A Expected return on the portfolio + Stock B Expected return on the portfolio)

Let plug in the formula

Expected return on the portfolio=0.02986+0.06895

Expected return on the portfolio= 0.0988 *100 Expected return on the portfolio= 9.88%

Therefore the expected return on the portfolio will be 9.88%

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