The current USD$/$EUR exchange rate is $1\mathrm{.}4000$ dollar per EUR. The $10$ month forward exchange rate is $1\mathrm{.}3750.$ The $10-$month USD interest rate is $6\mathrm{.}25\%$ per annum continuously compounded. Estimate the $10-$month EUR interest rate. Answer with $4$ digit decimal accuracy. Example: $10\mathrm{.}6567$