Suppose you want to hedge a $$430$ million bond portfolio with a duration of $8\mathrm{.}8$ years using $10-$year Treasury note futures with a duration of $6\mathrm{.}7$ years, a futures price of $107,$ and $97$ days to expiration. The multiplier on Treasury note futures is $$100,000.$ How many contracts do you buy or sell? $($Do not round intermediate calculations. Round your answer to the nearest whole number.$)$

Number of contracts

to sell