Suppose that the one$-$year interest rate in Australia is $7\mathrm{.}66\%$ p$.$a$.$ and in New Zealand, it is $8\mathrm{.}63\%$ p$.$a$.$ Suppose also that the current spot rate is EAUD$/$NZD$=1\mathrm{.}1578$ and the current $12-$month forward rate is FAUD$/$NZD$=1\mathrm{.}046.$ Assuming there are no transaction costs, which of the following is true?