A 30 year bond has a principle amount of $1000 and a coupon rate of 5% per year, interest payments are paid semi-annually. If the maturity date from now is exactly 10 years and the current market rate for the same bond is 12% per year, compounded semi-annually.
a) how much the bond worth now?
b) If the current market rate is 4% today, how much is the bond worth today?