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The winner of a $1,000,000 state lottery has two options: (a) receive a lump sum immediately, or (b) receive a 20-year annuity of $50,000 per

The winner of a $1,000,000 state lottery has two options: (a) receive a lump sum immediately, or (b) receive a 20-year annuity of $50,000 per year starting next year. The current interest rate is 10 percent per year. If the winner chooses option (a), what is the fair amount of the lump sum?

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