Instructions: All the interest rates are annual interest rates with semi-annual compounding and the annual coupon rates are also paid semi-annually. The bonds have a $100 face value

Question:

T-year par rate, also known as c(T) can be defined as yield to maturity when dealing with a par bond maturing at time T. Assume that c(0.5)=6%, and c(1)=7%

1) What is the price of a 1 year 8% coupon bond?

2) What is the YTM or Yield To Maturity of the bond in question 1?

I would really appreciate it if someone could explain how to solve questions like these, it would be very helpful