Problem:
A $10,000 par value bond with coupons at 8%, convertible semiannually, is being sold three years and four months before the bond matures. The bond is redeemable at $C, and purchase will yield 6% convertible semiannually to the buyer. The price of the bond was $5,640 three years and six months before maturity (immediately after the coupon payment).
Required:
Question: Calculate the market price of the bond, assuming compound interest throughout.
Note: Please provide through step by step calculations.