c$)$ The six$-$month interest rate of the Hong Kong dollar is $9\%$ while the six$-$month interest rate of for the US dollar is $6\mathrm{.}75\%.$ At the same time the spot Hong Kong dollar quotation in New York is US$ $0\mathrm{.}0910$ and the six$-$month forward rate is US$ $0\mathrm{.}0903.$ Analyse the information provided above to answer the following questions:

i$)$ Critically evaluate whether there is interest rate parity in this situation. Provide relevant calculations to support your answer.

ii$)$ Critically discuss whether, and how, it might be possible to make a profit in this situation.