Consider a three$-$factor APT model. The factors and associated risk premiums are:

Factor Risk Premium $(\%)$

Change in gross national product $($GNP$)+5\mathrm{.}1$

Change in energy prices $0\mathrm{.}9$

Change in long$-$term interest rates $+2\mathrm{.}1$

Calculate expected rates of return on the following stocks. The risk$-$free interest rate is $4\mathrm{.}0\%.$

A stock whose return is uncorrelated with all three factors.

Note: Enter your answer as a percent rounded to $1$ decimal place.

A stock with average exposure to each factor $($b $=1$ for each$).$

Note: Enter your answer as a percent rounded to $1$ decimal place.

A pure$-$play energy stock with high exposure to the energy factor $($b $=1\mathrm{.}9)$ but zero exposure to the other two factors.

Note: Enter your answer as a percent rounded to $2$ decimal places.

An aluminum company stock with average sensitivity to changes in interest rates and GNP$,$ but negative exposure of b $=1\mathrm{.}4$ to the energy factor. $($The aluminum company is energy$-$intensive and suffers when energy prices rise.$)$

Note: Enter your answer as a percent rounded to $2$ decimal places.