You are considering USD to EUR exchange rate. The current spot rate is $1\mathrm{.}5$ USD$/$EUR$,$ and there is a call option with the strike price of $1\mathrm{.}5$ USD$/$EUR and the time to maturity of one year. This call option is issued on $10,000$ EUR. Suppose that in one year the spot rate will be $1\mathrm{.}8$ USD$/$EUR or $1\mathrm{.}2$ USD$/$EUR $($only two states$).$ Using the binomial option price model, compute the call option price. Assume the interest rate in US is $0\mathrm{.}06$ and that in the euro zone is $0\mathrm{.}05.$

Group of answer choices

$3,000\mathrm{.}00$ USD

$3,000\mathrm{.}00$ EUR

$1,482\mathrm{.}48$ USD

$2,830\mathrm{.}19$ USD

$1,482\mathrm{.}48$ EUR