The nominal yield on $6-$month T$-$bills is $4\%,$ while default$-$free Japanese bonds that mature in $6$ months have a nominal rate of $4\mathrm{.}5\%.$ In the spot exchange market, $1$ yen equals $$0\mathrm{.}009.$ If interest rate parity holds, what is the $6-$month forward exchange rate? Do not round intermediate calculations. Round your answer to five decimal places.

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