https://www.pcgamer.com/anthem-will-have-no-loot-boxes-and-no-ability-to-pay-for-power/

Electronic Arts addressed one of the big elephants in the Anthem room during a "deep dive" into the game at today's EA Play press event by stating unequivocally that there will be no loot boxes in the game at all.  

Cosmetic and vanity items will be available for purchase, but instead of buying a box and hoping that something cool pops out of it, players will know exactly what they're getting up front. And nothing will be available to buy that will deliver any sort of gameplay advantage: As BioWare's Mark Darrah put it, there will be "no ability to pay for power."