A bank composes a 2-year zero-cost collar for a 20 million


Question: A bank composes a 2-year, zero-cost collar for a $20 million portfolio offloating-rate loans by buying the floor and selling the cap. The floor strike is 2.5%, the cap strike is 4.7%, and the reference rate is LIBOR. The interestpayments are LIBOR plus 240 basis points. The collar's semiannual settlementdates exactly match the dates when the floating-rate payments are made:August 1 and February 1 over the next two years. Today is August 1 . CurrentLIBOR is 4.1 %. The values of LIBOR on the next three settlement dates are2.4%, 5%, and 5%. Calculate the actual interest rate payments (to the bank),settlements, and effective interest payments.

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Mathematics: A bank composes a 2-year zero-cost collar for a 20 million
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