Assume I won 20 million dollars in a lottery that pays installments of 4 million dollars a year for five years or a lump sum of less than 20 million dollars.If I take the installments,my first installment would come the day I claimed my winnings at the state lottery office.If I take the lump sum, I would receive that payment the day I claimed my winnings at the state lottery office.Assume that the interest rate is 4% per year and that there are no taxes on the winnings.Calculate what the lump sum should be so that it would exactly equal the present value of thestream of future payments.What would your answer change be if the first installment in the question above did not come until one year after I claimed my winnings.