Two years ago, Greek Cruise Inc. issued a $20-$year maturity bond at its $$1,000$ face value when the YTM was $8\%.$ The coupon payment is made semi$-$annually. The current discount rate for bonds with similar risk level is $6\%.$

a$.$ What is the coupon payment will bondholder recieve in every six months?

b$.$ What is the market price of the bond today?

c$.$ You purchase the bond today at the price you got in part b$.$ After one year, you decide to sell the bond, and you observe that the market rate change to $10\%.$ What price will you sell the bond? What is your rate of return on the bond?