Iowa City Bank purchases a three-year interest rate floor for a fee of 2 percent of notional

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Iowa City Bank purchases a three-year interest rate floor for a fee of 2 percent of notional principal valued at $80 million, with an interest rate floor of 6 percent, and LIBOR representing the interest rate index. The bank expects LIBOR to be 6 percent, 5 percent, and 4 percent respectively at the end of each of the next three years.

a. Determine the initial fee paid, and also determine the expected payments to be received by Iowa City if LIBOR moves as forecasted.

b. Determine the dollar amounts to be received (or paid) by the seller of the interest rate based on the assumed forecasts of LIBOR.

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