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

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7. Using interest rate swaps to reduce interest rate risk Suppose that Phoenix bank seeks to reduce its interest rate risk in regards to its holdings of fixed-rate (12%) mortgages via the use of interest rate swaps. To this end, Phoenix and Emblem bank come to an agreement of a swap arrangement, whereby Emblem receives fixed-rate payments from Phoenix's mortgages, equaling 10%. In exchange, Phoenix receives variable payments from Emblem, equaling the LIBOR rate (the interbank lending rate for Eurobanks). Assume that Phoenix's 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 Phoenix bank for various possible values of LIBOR. Possible Future LIBOR Rates Unhedged Strategy 7% 8% 9% 10% 11% 12% Average rate on existing mortgages 12% 12% 12% 12% 12% 12% Average cost of deposits 7 8 9 10 11 12 Spread 5 4 3 2 1 0 Hedging with Interest Rate Swap Fixed interest earned on fixed-rate mortgages 12% 12% 12% 12% 12% 12% Fixed interest owed on swap 10 10 10 10 10 10 Spread on fixed-rate payments 2 2 2 2 2 2 8 9 10 12 7 9 10 11 variable interest rate earned on swap Variable interest rate owed on deposits Spread on variable-rate payments Combined total spread when using swap 1 1 1 1 1 3 3 3 3 3 If LIBOR is 7%, Phoenix's spread would be if unhedged and when hedged. Thus, hedging leads to a if unhedged, and when hedged. Thus, hedging leads to a IY LIBOR is 11, Phoenix's spread would be when LIBOR is 11%. 7 6 8 1 3 lower higher spread. spread

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