Suppose that S $=$ $$1\mathrm{.}1045/.$ The annualized inflation rates are $2\mathrm{.}6\%$ and $1\mathrm{.}75\%$ in the U$.$S and Germany, respectively. Find the exact expected currency movement for the euro in $5$ years. Do not write any symbol. Express your answers as a percentage. Make sure to round your answers to the nearest $100$th decimal points. For example, write $2\mathrm{.}45$ for $2\mathrm{.}45\%.$