Beale Manufacturing Company has a beta of $1\mathrm{.}8,$ and Foley Industries has a beta of $0\mathrm{.}50.$ The required return on an index fund that holds the entire stock market is $12\%.$ The risk$-$free rate of interest is $4\mathrm{.}5\%.$ By how much does Beale's required return exceed Foley's required return?$$