2. Interest Rates a) You consider depositing $1,000 for five years. A bank offers the following two time-deposit plans: Plan A: Plan B: annual percentage rate of 8.1% with semi-annual compounding annual percentage rate of 8.0% with daily compounding What is the future value of $1,000 in five years for each plan? Which plan offers more interests in dollar amount? b) Consider a risk-free bond that will pay $1,000 three years from now. The discount rate is an APR of 8% with quarterly compounding. What is the present value of the bond