$1.$ The one year interest rate in New Zealand is $6$ percent. The one year U$.$S$.$ interest rate is $10$ percent. The spot rate of the New Zealand dollar $($NZ$$)$ is $$\mathrm{.}50.$ The forward rate of the New Zealand dollar is $$\mathrm{.}54.$

$(1)$ Is covered interest arbitrage feasible for U$.$S$.$ investors?

$(2)$ Is it feasible for New Zealand investors?