3. You just won $12 million in the state lottery. You are given the option of receiving a lump sum of $6 million now, or you can elect to receive $400,000 at the end of each of the next 30 years. (1) If you can earn 4% annually on your investments, which option should you take? (2) At what interest rate would you be indifferent in choosing between the two options. (3) At what interest rate, will you choose lump sum payment? At what interest rate will you choose installment