A business signed a purchase contract that the business will pay $$1M2$ months from now. The business does not have enough money to pay for this, but the business has an account receivable will come at $4$ months from now. The business can borrow commercial paper with $7\mathrm{.}5\%$ APR today. Since the Fed official recently said the rate hike is still an option, the business decides to enter an FRA contract with the bank. If the interest rate at the borrowing time becomes $8\%$ APR, please find the business's interest cost for the loan, and the impact of this FRA. $(15$ points$)$