An Energy Star air conditioner unit costs $300 while a standard unit costs $200. The two units have the same cooling capacity. The Energy Star unit costs 5 cents per hour less to run. If you buy the Energy Star unit and run it for 12 hours per day for 6 months of the year, how long does it take to recover the $100 extra cost

A$100 million interest rate swap has a remaining life of 10 months. under the terms of the swap, the six-month libor is exchanged semi-annually for 12% per annum. the six-month libor rate in swaps of all maturities is currently 10% per annum with continuous compounding. the six-month libor rate was 9.6% per annum two months ago. what is the current value of the swap to the party paying floating? what is its value to the party paying fixed?