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In this small note we are concerned with the solution of Forward-BackwardStochastic Differential Equations (FBSDE) with drivers that grow quadraticallyin the control component (quadratic growth FBSDE or qgFBSDE). The main theoremis a comparison result that allows comparing componentwise the signs of thecontrol processes of two different qgFBSDE. As a byproduct one obtainsconditions that allow establishing the positivity of the control process.

A note on comonotonicity and positivity of the control components of decoupled quadratic FBSDE