If I won the lottery and was awarded $3,000,000 and promised to be paid in 15 years

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If I won the lottery and was awarded $3,000,000 and promised to be paid in 15 years from today. Since the payment is guaranteed by the state that I live I could sell the claim today for an immediate single cash payment.

What is the least I could sell the claim for if I earned the following rates of return on a similar-risk investment during the 12 year period:

6%? 7%? 8%?

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