Question: 7. Using interest rate swaps to reduce interest rate risk Suppose that Foundation bank seeks to reduce its interest rate risk in regards to its

7. Using interest rate swaps to reduce interest rate risk

Suppose that Foundation bank seeks to reduce its interest rate risk in regards to its holdings of fixed-rate (10%) mortgages via the use of interest rate swaps. To this end, Foundation and Epitome bank come to an agreement of a swap arrangement, whereby Epitome receives fixed-rate payments from Foundations mortgages, equaling 8%. In exchange, Foundation receives variable payments from Epitome, equaling the LIBOR rate (the interbank lending rate for Eurobanks).

Assume that Foundations cost of funds (or the rate owed on its deposits) is equal to the LIBOR rate, less 1%.

The following table details the swap arrangement from the point of view of Foundation bank for various possible values of LIBOR.

Unhedged Strategy

Possible Future LIBOR Rates

7%

8%

9%

10%

11%

12%

Average rate on existing mortgages 10% 10% 10% 10% 10% 10%
Average cost of deposits 5 6 7 8 9 10
Spread 5 4 3 2 1 0
Hedging with Interest Rate Swap
Fixed interest earned on fixed-rate mortgages 10% 10% 10% 10% 10% 10%
Fixed interest owed on swap 8 8 8 8 8 8
Spread on fixed-rate payments 2 2 2 2 2 2
Variable interest rate earned on swap 7 8 9 10 11 12
Variable interest rate owed on deposits 6 7 8 9 10 11
Spread on variable-rate payments 1 1 1 1 1 1
Combined total spread when using swap 3 3 3 3 3 3

If LIBOR is 8%, Foundations spread would be ___% if unhedged and ___% when hedged. Thus, hedging leads to a (higher/lower) spread.

If LIBOR is 10%, Foundations spread would be ___% if unhedged, and ___% when hedged. Thus, hedging leads to a (higher/lower) spread when LIBOR is 10%.

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