$7)$ Now let$$s see how Moe$$s idea affects firm value in the presence of taxes. Given corporate taxes of $20\%,$ if MM has no debt, they will owe $(0\mathrm{.}2)*($$$125$ million$)=$ $$25$ million in taxes, but if MM borrows $$500$ million to buy back shares they will have to make a $$20$ million interest payment $($given the $4\%$ coupon$)$ each year. Moreover, they get to subtract this from EBIT before they apply the $20\%$ corporate tax rate. With this in mind, what will MM$$s tax bill be once they implement Moe$$s idea, and therefore how much does Moe$$s plan save MM in taxes each year? Assuming that the $$500$ million of debt is permanent, so that the interest tax shield is a perpetuity, what is the value of the interest tax shield if it is as risky as MM$$s operations?