Suppose that the nominal exchange rate between the U$.$S$.$ dollar and the Mexican peso is $0\mathrm{.}10$ dollars per peso. If Mexico's inflation is $10$ percent and the United States' inflation is $0$ percent, from the U$.$S$.$ point of view, the real exchange rate

A$)$ appreciates to $0\mathrm{.}09$ dollars per peso.

B$)$ depreciates to $0\mathrm{.}09$ dollars per peso.

C$)$ appreciates to $0\mathrm{.}11$ dollars per peso.

D$)$ depreciates to $0\mathrm{.}11$ dollars per peso.