If the inflation rate in country A is larger than the inflation rate in country B and both countries

maintain a purely floating exchange rate and free capital mobility, which of the following

statements are expected to be approximately correct? $($Choose all that apply$)$

a$.$ The nominal interest rate will be higher in country A relative to country B$.$

b$.$ The inflation$-$adjusted interest rate in country A will be higher than in country B$.$

c$.$ The currency of country A will be expected to depreciate relative to that of country B$.$

d$.$ The inflation$-$adjusted interest rate in country A and B may remain the same.