Response to the following questions:
1. How much would you have to deposit into a savings account that earns 2% interest compounded quarterly, to have a balance of $2,000 at the end of four years, if you make no withdrawals?
2. What is the present value of $5,000 to be received five years from now, if the nominal annual interest rate (APR) is 12% and interest is compounded:
a. annually?
b. semiannually?
c. quarterly?
d. monthly?