Assume the following exchange rates: $$1=$ NZ$$3,$ NZ$$1=$ MXP$2,$ and $$1=$ MXP$5.$ Given this information, as you and others perform triangular arbitrage, the exchange rate of the New Zealand dollar $($NZ$)$ with respect to the U$.$S$.$ dollar should $\_\_\_\_,$ and the exchange rate of the Mexican peso $($MXP$)$ with respect to the U$.$S$.$ dollar should $\_\_\_\_.$

Question options:

A$)$ appreciate; depreciate

B$)$ depreciate; appreciate

C$)$ depreciate; depreciate

D$)$ appreciate; appreciate

E$)$ remain stable; appreciate