$2.$ You go to a bank and are given these quotes:

You can buy a euro for $14$ pesos.

The bank will pay you $13$ pesos for a euro.

You can buy a U$.$S$.$ dollar for $\mathrm{.}9$ euros.

The bank will pay you $\mathrm{.}8$ Euros for a U$.$S$.$ dollar.

You can buy a U$.$S$.$ dollar for $10$ pesos.

The bank will pay you $9$ pesos for a U$.$S$.$ dollar.

You have $$1,000.$ Can you use triangular arbitrage to generate a profit? If so$,$ explain the order of the transactions that you would execute, and the profit that you would earn. If you cannot earn a profit from triangular arbitrage, explain why.