The one year interest rates in Australia and US are 3% and 1%, respectively. The current spot rate is $0.75/AUD. (Show calculation and steps)

a. What should the one year forward rate be (if IRP holds).

b. If the forward rate is $0.70/AUD is there an arbitrage? If so, how can an arbitrageur incorporate a cashless (i.e. not use any of her current cash) arbitrage? Hint: She will need to borrow in the US or Australia at the current rates. Assume that she will use an amount of 1,000,000 USD or AUD (you must choose the right one)