A firm issues 5-year bonds with a coupon rate of 6%, paid semiannually. The credit spread for this firm's 5-year debt is 1.2%. New 5-year Treasury notes are being issued at par with a coupon rate of 5.1%.

a) What should the price of the firm's outstanding 5-year bonds be if their face value is $1,000?

b) If the YTM at the beginning of the third year of the bond (3 years left to maturity) increases to 8%. What was the percentage change in the price of the bond over the past two years?

Please write down the answers and the process of solving them. Thank you.