question archive Quantitative Question (ILO:A1/81) (18%) Suppose in an interest rate swap the notional principal is $10,000,000 with a swap period of 2 years

Quantitative Question (ILO:A1/81) (18%) Suppose in an interest rate swap the notional principal is $10,000,000 with a swap period of 2 years

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Quantitative Question (ILO:A1/81) (18%) Suppose in an interest rate swap the notional principal is $10,000,000 with a swap period of 2 years. Two companies agree to exchange a fixed for a floating income stream. Barmko agrees to pay 5% to Darmko. Darmko agrees to pay Rarmko LIBOR+ 2.5% 1a. Suppose at the end of the first year LIBOR is 4%, which party and how much will that party net? (SHOW CALCULATIONS HERE. USE NO TEXT) (1) Barmko pays Darmko: Darmko pays Barmko: Barmko nets from Darmko: (1 %) (1) 1b. Suppose that the end of the second year LIBOR is 6%, which party and how much will that party net? (SHOW CALCULATIONS HERE. USE NO TEXT) (11) (1) Barmko pays Darmko: Darmko pays Barmko: Barmko nets from Darmko: Over the two years Barmko nets from Darmko: (1) (1) 2. As a hedge, Parmko buys a two-year cap on a 6 month LIBOR of $10,000,000 with current LIBOR at 4%, suppose that in the first six months LIBOR rises to 4.5% • second six months LIBOR rises to 5.5% third six months LIBOR rises to 6% fourth six months LIBOR rises to 7% What will be the overall cash position of Darmko, as a holder of both the interest rate swap above and the cap at 4%, at the end of two years? (Assume the cost of the cap is $100,000)

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