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CHAMPION’S BANNER 8,000GP
A character with the challenge class feature carrying a champion’s
banner treats his class level as 4 levels higher when determining
the effect of his challenge ability. This does not alter the number of
times per day the wielder may use his challenge ability, only the
value of the bonuses it grants when he does so.
Vambraces of the Tactician 8,000GP
A cavalier wearing these vambraces is considered two class levels higher for purposes of determining the effects of his challenge class feature. Furthermore, once per day as a swift action, a cavalier with the tactician class feature can increase the area in which he grants teamwork feats. Before the end of his next turn, when the cavalier grants his allies a teamwork feat, he can grant it to all allies within 60 feet, though they must still be able to see and hear him.
So in total they give the cavalier a +6 class levels to his challenge ability.
From what I under stand of the rules they would stack. They are both untyped bonus so they stack. Just looking for some clarification.
The appear to be untyped bonuses from two different sources. I would say that probably means they stack.