A 10 Year Bond With A Par Value Of 100,000 And Semi-annual Coupons 2500 Is Bought At A Discount To Yield 6% Co?

A 10 year bond with a par value of 100,000 and semi-annual coupons 2500 is bought at a discount to yield 6% convertible semi-annually.
Calculate the theoretical clean price 4 months after the 5th coupon.
It says the answer should be 95,902.37. I get that for the theoretical dirty price, not the clean price. Did my teacher make a mistake in the wording? Did he mean “dirty?” I’m not able to ask him in time. Could someone please tell me if I’m making the mistake.
Thank you! I really appreciate it!

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