Question: Consider the borrowing costs in USD faced by the following three companies: Fixed Floating A 4.5% SOFR + 0.6% B 6.0% SOFR + 1.7% C

Consider the borrowing costs in USD faced by the following three companies:

Fixed Floating

A 4.5% SOFR + 0.6%

B 6.0% SOFR + 1.7%

C 5.1% SOFR + 1.0%

Assume that if any two companies enter the swap transaction, they split the possible savings equally.

a. Company A and company B want to engage in the swap transaction. Find the range for the swap rate within which both companies would benefit from the swap.

b. Suppose company C wants to borrow fixed-rate funds. Is it possible for C to reduce its cost of borrowing below 5.1%, and if so, what is the lowest possible cost it could achieve

c. Suppose company C wants to borrow floating-rate funds. Is it possible for C to reduce its cost of borrowing below SOFR + 1%, and if so, what is the lowest possible cost it could achieve?

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