Econimics: Deal or No Deal?

Your broker is offering you the right to a $$50$ payment every year for $5$ years on a bond with a face value of $$1000.$ The broker is offering you to buy the bond for a price of $$1,117\mathrm{.}61.$

You are considering purchasing the security. The current market rate of interest is $4\%.$

a$.$ What is the coupon rate for the bond offering?

b$.$ Will the coupon rate fluctuate as the FED changes interest rates in the next $5$ years?

c$.$ Is this a fair deal?

d$.$ Will you buy the bond? Be specific on what economic factors you are considering when making the decision to accept or reject the offer.