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The state lottery claims that its grand prize is $2 million. The lucky winner will receive $100,000 upon presentation of the winning ticket plus $100,000

The state lottery claims that its grand prize is $2 million. The lucky winner will receive $100,000 upon presentation of the winning ticket plus $100,000 at the end of each year for the next 19 years.

a-Why isn't this really a million-dollar prize? (5 Points)

b-What would it be worth in dollars to you? (5 Points)

c-What would the 20 yearly payments need to be for the present value of the lottery to be $2 million? Hint: The first step is to determine what type of an annuity the lottery represents.

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