$1.$ Suppose that S $=$ $$1\mathrm{.}1045/.$ The annualized inflation rates are $2\mathrm{.}6\%$ and $1\mathrm{.}75\%$ in the U$.$S and Germany, respectively. Find the exact expected currency movement for the euro in $5$ years. Do not write any symbol. Express your answers as a percentage. Make sure to round your answers to the nearest $100$th decimal points. For example, write $2\mathrm{.}45$ for $2\mathrm{.}45\%.2.$ Suppose that S $=$ $$1\mathrm{.}1045/.$ The annualized risk$-$free interest rates are $6\%$ and $3\%$ in the U$.$S and Germany, respectively. The inflation rate in the US is $2\mathrm{.}5\%.$ Find the exact expected exchange rate for the euro in one year. Do not write any symbol. Make sure to round your answers to the nearest $10000$th decimal points. For example, write $1\mathrm{.}2345$ for $$1\mathrm{.}2345/.$