$8.$ Suppose that the nominal risk$-$free interest rate in the US is $4\%$ while the nominal risk$-$free interest rate in the Euro Zone is $5\%.$ The spot exchange rate between the $ and the euro is $1\mathrm{.}0$ euro$=$$$1\mathrm{.}1227.$ Compute the $1$ year forward $($F$1)$ exchange rate implied in this information.