Traditionally, firms raise capital in the primary market issuing either fixed or floating rate debt. Both bond structures expose the firm to interest rate risk. The financial derivatives market provides firms the opportunity to manage their interest rate risk of their bond portfolios as well potentially lowering the cost of borrowing. One of your firms clients wants to issue a $$100$ million, $3-$year maturity bond and has asked for guidance as to achieving the lowest fixed rate borrowing cost. Based on current bond marketconditions the firms can either: Issue a $3-$year, fixed rate bond $($annual coupon payments$)$ paying the $3-$year US Treasury rate plus $250$ basis points. The current $3-$year US Treasury rate is $4\mathrm{.}50\%.$or Issue a $3-$year floating rate bond paying $($annually$)$ the $1-$year SOFR rate plus $200$ basis points.The clients CFO asks whether they could lower their all$-$in fixed rate borrowing costs using an interest rate swap. As the junior derivatives analyst, you have been tasked with evaluating this situation and determining if the use of an interest swap would achieve the firms goal. To that end you have identified a bank that offers the following interest rate swap: Fixed Rate Leg: $3-$year US Treasury rate plus $30$ basis points. Floating Rate Leg: $1-$year SOFRYou are to prepare a presentation for the clients CFO illustrating the financial structure that provides the lowest fixed rate borrowing cost as well the savings, if any, as a result of using an interest rate swap