Lottery claims that its prize is $3 million. The first $1 million is paid immediately, and the second $1 million payment will be made in 1 year, and the third $1 million payment will be made in 2 years. Interest rate stays at 5% throughout the whole process. What is the present value of this prize? Round your results to TWO decimal places.

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The treasurer for pittsburgh iron works wishes to use financial futures to hedge her interest rate exposure. she will sell five treasury futures contracts at $139,000 per contract. it is july and the contracts must be closed out in december of this year. long-term interest rates are currently 7.30 percent. if they increase to 9.50 percent, assume the value of the contracts will go down by 20 percent. also if interest rates do increase by 2.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $149,000. this expense, of course, will be separate from the futures contracts. a. what will be the profit or loss on the futures contract if interest rates increase to 9.50 percent by december when the contract is closed out