A bonds credit rating provides a guide to its risk. Long-term bonds rated Aa currently offer yields to maturity of 5.1%. A-rated bonds sell at yields of 5.4%. Assume a 10-year bond with a coupon rate of 4.6% is downgraded by Moodys from Aa to A rating.

a. Calculate the initial price. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Initial price $

b. Calculate the new price. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

New price $