An all$-$equity financed company has a cost of capital of $10$ percent. It owns one asset: a mine capable of generating $$104$ million in free cash flow every year for five years, at which time it will be abandoned. A buyout firm proposes to purchase the company for $$390$ million financed with $$340$ million in compound interest debt to be repaid in five, equal, end$-$of$-$year payments and carrying an interest rate of $7\mathrm{.}0$ percent.

a$.$ Calculate the annual debt$-$service payments required on the debt.

b$.$ Ignoring taxes, estimate the rate of return to the buyout firm on the acquisition after debt service.

Note: Round your answers to $1$ decimal place.

a$.$ Annual debt service payment

b$.$ Rate of return

million

$\%$