Please help me solve the below problem step-by-step.

Instructions: Please make sure that you show all your work when solving the problems. Feel free to make any assumptions whenever you feel necessary. Just make sure that you clearly state your assumptions.

5) Credit Rating Yield

AAA	3%
AA	3.2%
A	3.5%
BBB	3.8%
BB	4.5%
B	5.25%

a) Given the yields for bonds with different credit ratings, what would be the fair price of a 5- year maturity bond, which currently has identical risk to a bond rated A, if it has a coupon rate of 12% paid annually, and a par value of $1,000?

b) What would be the price of the bond 3 years from today if the bond is expected to be

downgraded to BBB at the end of the 3rd year?