Please show all workings. Thank you.

3. (a) Assume the following information regarding locational arbitrage: Beta Bank Bid price of New Zealand dollar $0.406 Ask price of New Zealand dollar $0.409 Zeta Bank $0.402 $0.404 Based on the information provided above, is locational arbitrage possible? If so, show the steps involved in the process and compute the profit/loss from this arbitrage if you had $3 million dollars to use. (b) The following exchange rates are available to you. You can buy or sell at the stated rates. Assume that you have an initial U.S. $2 million to invest. Citibank quotes U.S. dollars per euro USD1.4297 1 EUR Barclays Bank quotes U.S. dollars per pound sterling USD1.6585 = 1 GBP == Dresdner Bank quotes euros per pound sterling EUR1.2722 = 1 GBP Can you make a profit via triangular arbitrage? If so, show the steps and calculate the amount of profit/loss in U.S. dollars?