$6.$ The following exchange rates are quoted simultaneously in Tokyo, Sydney, and New York:

E$($JPY$/$AUD$)80\mathrm{.}50$

E$($AUD$/$USD$)1\mathrm{.}2500$

E$($JPY$/$USD$)101\mathrm{.}50$

a$)$ Is there a possibility for two$-$point arbitrage?

b$)$ Is there a possibility for three$-$point arbitrage? If so$,$ what is the profitable sequence? If a

trader has access to AUD $5,000,000$ available for this purpose, how much profit will he make?

c$)$ How do the three exchange rates as mentioned above change as a result of arbitrage?