TIAA$-$CREF $-$ the US Pension fund $-$ is considering a risk proof investment of US$ $1$ billion for the next $180$ days. Investment opportunities include a US zero treasury bond offered at $98\%$ maturing at $100\%$ in $180$ days and an Australian money market fund yielding $8\mathrm{.}25\%$ annually. The AUD is at a six$-$month forward discount of $1\mathrm{.}45\%$ vis$--$vis the US$$.$ Would you advise TIAA$-$CREF to invest in

Question $15$ options:

The AUD money market fund

The AUD money market fund hedged through a forward AUD sale

The AUD money market fund hedged through a forward AUD purchase

The US zero treasury bond