Suppose that S $=180/$$$.$ The annualized risk$-$free rates are $4\mathrm{.}6\%$ and $2\mathrm{.}75\%$ in Japan and the U$.$S$.,$ respectively. Find the expected currency movement over the next $3$ 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.