You are a multinational company headquartered in the United States. Your plan involves importing goods from Europe in $6$ months, necessitating $500,000$ Euros. Concerned about potential exchange rate fluctuations between the US dollar $($USD$)$ and the euro $($EUR$),$ you intend to hedge your forex risk by employing futures contracts. Each forex futures contract corresponds to $125,000.$ The current spot exchange rate stands at $1$ EUR $=1\mathrm{.}0975$ USD, while the futures price for a $6-$month contract is set at $1$ EUR $=1\mathrm{.}1035$ USD. Given that the futures price after $6$ months becomes $1$ EUR $=1\mathrm{.}1235$ USD, and the spot exchange rate at that time is $1$ EUR $=1\mathrm{.}1225$ USD, compute the effective price $($in USD$)$ of each Euro.