Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A$,$ and a defensive stock D$.$

Scenario Rate of Return

Market Aggressive Stock A Defensive Stock D

Bust $8\%10\%6\%$

Boom $323824$

If each scenario is equally likely $($that is p $=0\mathrm{.}5),$ calculate the expected alpha on stock A if the new risk$-$free rate is $4\%$