3. Consider three bonds, A, B, and C, each paying 7% semiannual coupons, and with face value of USD 1,000. Maturity for each bond is 30 years, 15 years and 5 years respectively.

a. For each bond, calculate the price

(i) when the YTM is 10% and

(ii) when the YTM is 15%.

b. What can you conclude about

(i) the bond price yield relationship and

(ii) the bond price maturity relationship of the three bonds?