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Companies X and Y have been offered the following annual interest rates with semi-annual compounding on $5 million 6-year loans. Company Fixed Rate (%) Floating

Companies X and Y have been offered the following annual interest rates with semi-annual compounding on $5 million 6-year loans.

Company

Fixed Rate (%)

Floating Rate

X

5.00%

LIBOR

Y

7.00%

LIBOR + 1%

Company X borrows initially at a fixed rate but would like to have a floating rate loan. Company Y borrows initially at a floating rate but would like a fixed-rate loan.

a) What is the Quality Spread Differential (QSD)?

b) What is the necessary condition for a fixed-for-floating interest rate swap to be possible?

c) Assuming X and Y split the gains from the swap equally, what are the net borrowing interest rates that X and Y get?

d) Design a swap between the two parties that will net each the same amount of interest rate savings for the types of loans they prefer? (Illustrate with the help of a diagram)

e) If a Financial Intermediary (FI) charges 0.04% a year (split equally between X and Y), how would this affect the final rates that the two parties are paying? (Illustrate with the help of a diagram)

f) What are the net borrowing interest rates that X and Y get after the expenses of the Financial Intermediary is taken into consideration?

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