Please show your work, draw a cash flow diagram, and do not use Excel. Thank you. You are appreciated.

3. "Big spender" Mr. Scott is in Atlantic City for an engineering conference and decided to play in the poker tournament at the casino. As the grand prize winner of the tournament, he must choose between a $3.5 million cash prize paid immediately or $200,000 per year for 20 years (\$4 million). Suppose he decided on the 20 annual installments of $200,000 and considering the following two options: (a). Save his installments for the first 4 years, then spend each installment for the next 7 years then save for the remaining years. (b). Spend the installments for the first 4 years, then saving for the next 7 years then spend all the remaining years. If the bank will guaranty Mr. Scott a 7% interest rate of return, how much would be in his bank account at the end of each option (a) and (b)? Draw the cash flow diagram for each option. (10pts)