Q$7)$ Star Corp currently has $100$ million in assets which is financed with $40$ million in debt and $60$ million in equity. The firms current $($after$-$tax$)$ WACC is $12\%$ and has a before$-$tax cost of debt of $8\%.$ The corporate tax rate is $20\%$

$1)$ Calculate the cost of levered equity for Star Corp

$2)$ Calculate the cost of unlevered equity for Star Corp

$3)$ What would be the cost of levered equity for Star Corp if it were to change its capital structure to $30\%$ debt and $70\%$ equity