Pretend for a moment that you won $1,000,000 in the state lottery and had a choice between receiving $50,000 a year for 20 years, or receiving a one-time payment immediately for $560,000. After getting over your initial excitement, what payment option would you take and why? In your decision, apply the time-value of money by computing the present and future value of the payments. Show your calculations. Finally, what other factors are important to consider in making your decision? Assume that you borrowed $500 from a friend and promised to repay the loan in five equal annual installments, starting a year from today. Your friend wants to be reimbursed at an 8% annual interest rate. Explain how you would compute the required annual payment. Show your calculations