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It's the beginning of the year and you are receiving quarterly payments on a $1 million loan. The interest rate on the loan is one-year

It's the beginning of the year and you are receiving quarterly payments on a $1 million loan. The interest rate on the loan is one-year LIBOR plus 2.5%. LIBOR is currently 2.46%. A 3-month call option (X=2.4%) on one-year LIBOR costs $175 while an identical put costs $170. Identical 6-month calls cost $250 and puts cost $235. Identical 9-month calls cost $310 and puts cost $280. Identical 12-month calls cost $370 and puts cost $315. You decide to hedge your interest rate risk by purchasing a cap or floor. Assume that one-year LIBOR is 2.38% at the end of the first quarter, 2.23% at the end of the second quarter, 2.30% at the end of the third quarter, and 2.36% at the end of the fourth quarter. What is your total net interest rate received on this loan? Factor in the option premia to your net interest rate received. Go out five decimals - for example, write 6.157% as .06157.

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