A European investor can earn a $4\mathrm{.}75$ percent annual interest rate in Europe or $2\mathrm{.}75$ percent per year in the United States. If the spot exchange rate is $$1\mathrm{.}58$ per euro, at what one$-$year forward rate would' an investor be indifferent between the U$.$S$.$ and European investments?

Multiple Choice

$$1\mathrm{.}5484$

$$1\mathrm{.}6108$

$$1\mathrm{.}5335$

$$1\mathrm{.}5498$

$$1\mathrm{.}5977$