You have just won 50 million in the lottery, payable in equal yearly installments over the next 20 years (first payment to be made immediately). Instead of taking the annual payments, you also have the option of receiving a lump sum amount immediately. If the interest rate is 6% per year, what is the minimum lump sum amount you would except in place for the payments? What if the interest rate is 10% per year? Please show the formula and answer.

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