please help solve both parts! thank you!

1. Bond Valuation A 3-year Treasury bond is issued in January 2023. The face value is $1,000, and coupons will be paid semiannually at the rate of 3% per year. (a) Suppose that the interest rate is 4% per year in January 2023 . What is the bond price? (b) Suppose that one year has passed since the bond issuance, and the first two coupons have already been paid. The interest rate has changed to 2% per year. What would be the bond price then