1) Given interest rate of 0.05, suppose you will live forever and receive an annuity of $20 per year forever. a) Suppose you can purchase this this annulty for $500. Will you purchase this annuity? Explain why or why not. b) Suppose instead the interest rate is 0.02. Will you purchase this annuity? Explain why or why not. Justify your answer. c) Instead, suppose you will live for 20 years and the interest rate is 0.02. Will you still but the - annuity? Explain why or why not