A $$1,000$ face value, $6\mathrm{.}5\%$ coupon, Province of Ontario bond with $18$ years to run until maturity is currently priced to yield investors $6\mathrm{.}2\%$ compounded semiannually until maturity. How much lower would the bond's price have to be to make the yield to maturity $6\mathrm{.}7\%$ compounded semiannually? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Price should be lowered by

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