Consider the following case:

Aaron owns a two$-$stock portfolio that invests in Happy Dog Soap Company $($HDS$)$ and Black Sheep Broadcasting $($BSB$).$ Three$-$quarters

of Aaron's portfolio value consists of HDS$\text{'}$s shares, and the balance consists of BSB$\text{'}$s shares.

Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in

different market conditions are detailed in the following table:

Calculate expected returns for the individual stocks in Aaron's portfolio as well as the expected rate of return of the entire portfolio over the three

possible market conditions next year.

The expected rate of return on Happy Dog Soap's stock over the next year is

The expected rate of return on Black Sheep Broadcasting's stock over the next year is

The expected rate of return on Aaron's portfolio over the next year is