$2.$A borrower comes to market with a $2\%$yield for a $10-$year bond. The DV$01$is $9(0\mathrm{.}0009).$

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An investor comes in with a strong preference for a discount bond. The issuer finds that attractive.

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For technical reasons, the bond must have a price of at least $90\%.$ So they agree to issue a bond at $90\%.$

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What would the coupon be$?$How did you calculate that? Explain the logic. Please show work.