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We can disagree on both points.

The example (ok - not exactly the definition - but close enough) is the Triangular Arbitrage in foreign exchange. This is cited in almost every textbook on explaining the topic.

The Wikipedia entry on arbitrage lists a dozen types of arbs. So while they may all be of the same "type" (buy low/sell high) there are nuances. It's like saying all cow meet is just beef: there are different cuts that taste different.



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