I am having some difficulty with this. My bond calculations just don't seem to come out correctly. Will you walk me through how I might apply the coupon rate and determine the value of the bonds?

Compute the value of the following bonds assuming a 3% discount rate (required rate of return):

1. A zero-coupon bond that pays $1,000 in five years
2. A bond that pays $1,000 in five years, with five annual coupon payments of $20 each
3. What is the coupon rate if coupon payments are $20 per year? At what discount rate would the value of the bond be "at par" (e.g., be worth $1,000?). Explain your reasoning.