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Problem $3-15($LG $3-4)$

A $$1,000$ par value bond with Four years left to maturity pays an interest payment semiannually with a $6$ percent coupon rate and is priced to have a $5\mathrm{.}7$ percent yield to maturity. If interest rates surprisingly increase by $0\mathrm{.}5$ percent, by how much would the bond's price change? $($Do not round intermediate calculations. Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

Bond's price $$