The forward rate of exchange is $2$ Euros per dollar $,$ the spot rate of exchange is $2\mathrm{.}25$ Euros per dollar. The US has a bond of $9\%$ interest and France has a bond for $5\%$ interest. What is the amount you can collect for the US bond on an investment of $10,000$ Euros?

Group of answer choices

$11,812\mathrm{.}5$ Euros and the French investment is better than the US investment

$12,262\mathrm{.}5$ Euros and the French investment is better than the US investment

$9,688\mathrm{.}89$ Euros and the French investment is worse than the US investment

$9,333\mathrm{.}33$ Euros and the French investment is worse than the US investment